{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# SYDE 556/750: Simulating Neurobiological Systems\n", "\n", "Accompanying readings: Chapters 4, 5" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Temporal Representation\n", "\n", "- In the previous lectures, we covered representation of a vector space by a population of neurons\n", " - We converted a vector $x$ into neural activity values $a_i$, and then converted those back to the original value $\\hat{x}$. \n", "- What happens if $x$ changes over time? \n", " - I.e. if we have $x(t)$, how do we get $a_i(t)$?\n", " - Seems pretty easy:\n", " - $a=G[\\alpha e \\cdot x + J^{bias}]$, so...\n", " - $a(t)=G[\\alpha e \\cdot x(t) + J^{bias}]$\n", " - where $G[J(t)]= {1 \\over {\\tau_{ref}-\\tau_{RC}ln(1-{1 \\over J(t)})}}$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/python3/lib/python3.6/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['piecewise']\n", "`%matplotlib` prevents importing * from pylab and numpy\n", " \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import nengo\n", "import numpy\n", "\n", "n = nengo.neurons.LIFRate()\n", "\n", "x = numpy.zeros(100)\n", "for i in range(10):\n", " x[i*10:(i+1)*10]=numpy.random.uniform(-1,1)\n", "\n", "figure()\n", "title('$x$ value changing over time')\n", "plot(x)\n", "ylabel('$x$')\n", "ylim(-1,1)\n", "xlabel('Time (ms)')\n", "\n", "figure() \n", "title('Firing rate changing over time')\n", "plot(n.rates(x, gain=1.5, bias=1))\n", "ylabel('Firing rate (Hz)')\n", "xlabel('Time (ms)')\n", "show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Unfortunately, that formula for $G[J(t)]$ is an *average* firing rate over a long period of time.\n", " - What does it mean to be firing at 10Hz for 10ms?\n", "- We need to model what's actually happening to that neuron over time " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Leaky Integrate-and-Fire neurons\n", "\n", "- Pretty much the standard computationally efficient neuron model\n", " - Simple\n", " - Produces spikes\n", " - Limiting case of other more complex neuron models\n", " - All parameters map onto known properties of real neurons\n", " \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "- Bilipid cell membrane acts as a capacitor\n", "\n", "- Flow of ions through the cell membrane ion channels is a resistor\n", " - This is the \"leak\" current\n", "- Resistance and capacitance together give $\\tau_{RC}$\n", " - $\\tau_{RC}=R C$\n", "- When voltage passes some threshold, neuron emits a \"spike\"\n", " - Very fast, sharp response that's pretty much the same each time\n", " - Spike at time $t_n$ modelled as $\\delta(t-t_n)$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Neuron recovers over a short period of time\n", " - Refractory time $\\tau_{ref}$\n", " - During this time the voltage is reset to some resting level\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- As an RC circuit with a nonlinearity:\n", "\n", "\n", "\n", "- Typical values\n", " - $\\tau_{RC}$: 0.02 seconds\n", " - $\\tau_{ref}$: 0.002 seconds\n", " - Reset voltage (a.k.a. resting potential): -70mV\n", " - Firing threshold (a.k.a. threshold potential): -55mV\n", " - NOTE: we normalize this so that reset is at 0 and firing is at 1\n", " - This does not affect anything about the behaviour of the model\n", " \n", "- For lots more info, see Unit 2 in [this online course](http://www.saylor.org/courses/bio303/)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The LIF RC circuit\n", "\n", "- Let's ignore the spiking elements for now, so here's the circuit\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Useful physical laws\n", "- Kirchhoff's Current Law\n", " - Currents at a point have to add up to zeros\n", " - Current coming into the neuron has two paths\n", " - $J_{M} = J_R+J_C$\n", " \n", "- Ohm's Law\n", " - Formula for current through a resistor\n", " - $ J_R = {V \\over R}$\n", " \n", "- Capacitor\n", " - $ C = {Q \\over V}$\n", " - $ Q = C V $\n", " - Change in these quantities over time gives\n", " - $ {{dQ} \\over {dt}} = C {{dV} \\over {dt}} $\n", " - Rate of change of charge is current\n", " - $ J_C = C {{dV} \\over {dt}} $\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ " \n", "- Applying these laws to RC circuits:\n", " - $ J_{M} = {V \\over R} + C {{dV} \\over {dt}} $\n", " - Then solve for change in voltage with input\n", "\n", "$$\n", "\\begin{align}\n", "{{dV} \\over {dt}} &= {1 \\over C}(J_{M} - {V \\over R}) \\\\\n", " &= {1 \\over {RC}}[R J_{M} - {V}] \\\\\n", " &= {1 \\over {\\tau_{RC}}} [R J_{M} - {V}] \n", "\\end{align}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### LIF RC Circuit Behaviour\n", "- If we solve the general ODE, we get a convolution:\n", "\n", "$\n", "\\begin{align}\n", "V(t) = \\frac{R}{\\tau_{RC}} \\int_0^t e^{-(t-t')/\\tau_{RC}} J_M(t')\\; dt'\n", "\\end{align}\n", "$\n", "\n", "- I.e. the voltage right now (at $t$) depends on all past current input, $J_M(t')$, where each input is weighted by a function that exponentially decays as it gets further away (in the past) from the current time (a kind of memory).\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- If $J_M$ is constant:\n", "\n", "$\n", "\\begin{align}\n", "V(t) &= \\frac{R J_M}{\\tau^{RC}} e^{-t/\\tau_{RC}}\\int_0^t e^{t'/\\tau_{RC}} \\; dt' \\\\\n", "&= J_M R (1-e^{-t/\\tau_{RC}}) \\end{align}\n", "$\n", "\n", "- How long does it take to get to threshold?\n", "- How long between spikes?\n", "- Firing rate? \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- How long does it take to get to threshold?\n", " - $ V_{th} = J_MR(1-e^{-t_{th}/\\tau_{RC}}) $\n", " - $ t_{th} = -\\tau_{RC} ln (1-{V_{th} \\over {J_MR}}) $\n", "\n", "- How long between spikes?\n", " - $t_{th} + \\tau_{ref}$\n", " \n", "- Firing rate\n", " - $a = {1 \\over {t_{th} + \\tau_{ref}}}$ \n", " - $a = {1 \\over {\\tau_{ref}-\\tau_{RC}ln(1-{V_{th} \\over {J_MR}})}} $\n", "\n", "- Simplify by assuming $V_{th}=1$ and $R=1$\n", " - $a = {1 \\over {\\tau_{ref}-\\tau_{RC}ln(1-{1 \\over J_M})}} $ \n", " - This is the rate approximation of the neuron\n", " \n", "- But we can't assume a constant $J_M$ in a real brain!\n", "- It will definitely change over time (since $x(t)$ also changes over time)\n", "- So we need to do a computer simulation of the differential equation explicitly\n", " - $ {{dV} \\over {dt}} = {1 \\over {\\tau_{RC}}} [R J_{input}(t) - {V(t)}] $\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Spikes\n", "- When simulating the LIF neuron, we need to monitor threshold, as that when the 'spike' occurs\n", "- A LIF neuron treats all spikes the same, and just 'pastes' them in \n", " - As opposed to simulating the nonlinear differential equations that describe the actual voltage changes" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import nengo\n", "from nengo.utils.matplotlib import rasterplot\n", "\n", "model = nengo.Network(label='Spiking Neurons')\n", "\n", "with model:\n", " stimulus = nengo.Node(0)\n", " ens = nengo.Ensemble(1, dimensions=1, \n", " encoders = [[1]],\n", " intercepts = [-.5],\n", " max_rates= [100])\n", " \n", " nengo.Connection(stimulus, ens)\n", " \n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " voltage_p = nengo.Probe(ens.neurons, 'voltage')\n", " stim_p = nengo.Probe(stimulus)\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.5)\n", "\n", "t = sim.trange()\n", "figure(figsize=(12, 8))\n", "ax = gca()\n", "ax.plot(t, sim.data[voltage_p],'g')\n", "rasterplot(t, sim.data[spikes_p], ax=ax)\n", "ylim((0,2))\n", "ylabel(\"Voltage\")\n", "xlabel(\"Time\");" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "slideshow": { "slide_type": "slide" } }, 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It can be enabled with `nengo.rc.set('progress', 'progress_bar', 'nengo.utils.progress.TerminalProgressBar')`." ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " (function () {\n", " var root = document.getElementById('4a720d74-4360-4f9a-8a54-4d1495da18ea');\n", " var text = root.getElementsByClassName('pb-text')[0];\n", " var fill = root.getElementsByClassName('pb-fill')[0];\n", "\n", " text.innerHTML = 'Simulation finished in 0:00:01.';\n", " \n", " if (100.0 > 0.) {\n", " fill.style.transition = 'width 0.1s linear';\n", " } else {\n", " fill.style.transition = 'none';\n", " }\n", "\n", " fill.style.width = '100.0%';\n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none'\n", " \n", " \n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none';\n", " \n", " })();\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from nengo.utils.functions import piecewise\n", "\n", "x = dict(zip(np.linspace(0,.1,10), np.random.uniform(-1,1,10)))\n", "\n", "with model:\n", " stimulus.output = piecewise(x)\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.1)\n", "\n", "t = sim.trange()\n", "\n", "figure()\n", "title('$x$ value changing over time')\n", "plot(t, sim.data[stim_p])\n", "ylabel('$x$')\n", "ylim(-1,1)\n", "xlabel('Time (s)')\n", "\n", "figure()\n", "title('Firing rate changing over time')\n", "plot(ens.neuron_type.rates(sim.data[stim_p], gain=sim.data[ens].gain, bias=sim.data[ens].bias))\n", "ylabel('Firing rate (Hz)')\n", "xlabel('Time (ms)')\n", "\n", "figure(figsize=(6, 3))\n", "ax = gca()\n", "rasterplot(t, sim.data[spikes_p], ax=ax)\n", "ax.plot(t, sim.data[voltage_p],'g')#, drawstyle='steps-post') #if want to see exact timing\n", "ylim((0,2))\n", "title('Voltage and spikes over time')\n", "ylabel(\"Voltage\")\n", "xlabel(\"Time (s)\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Let's try a sine wave input" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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It can be enabled with `nengo.rc.set('progress', 'progress_bar', 'nengo.utils.progress.TerminalProgressBar')`." ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " (function () {\n", " var root = document.getElementById('be74a82b-b754-404e-88dd-60c6591d96fe');\n", " var text = root.getElementsByClassName('pb-text')[0];\n", " var fill = root.getElementsByClassName('pb-fill')[0];\n", "\n", " text.innerHTML = 'Simulation finished in 0:00:01.';\n", " \n", " if (100.0 > 0.) {\n", " fill.style.transition = 'width 0.1s linear';\n", " } else {\n", " fill.style.transition = 'none';\n", " }\n", "\n", " fill.style.width = '100.0%';\n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none'\n", " \n", " \n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none';\n", " \n", " })();\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-1, 2)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#have to run previous cells\n", "\n", "with model:\n", " stimulus.output = lambda t: np.sin(10*t)\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.6)\n", "\n", "nengo.utils.matplotlib.plot_tuning_curves(ens, sim)\n", "\n", "t = sim.trange() \n", "figure(figsize=(10,4))\n", "plot(t, sim.data[stim_p], label='x')\n", "ax = gca()\n", "ax.plot(t, sim.data[voltage_p],'g', label='v')\n", "ylim((-1,2))\n", "ylabel('$x$')\n", "xlabel('time (s)')\n", "legend(loc='lower left');\n", "\n", "rasterplot(t, sim.data[spikes_p], ax=ax.twinx(), use_eventplot=True)\n", "title('Voltage and spikes over time')\n", "ylabel(\"Voltage\");\n", "xlabel(\"Time\");\n", "ylabel('$neurons$')\n", "ylim((-1,2))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- So this is how we're going to model neurons over time\n", "- Weaknesses of this approach\n", " - These are \"point\" neurons (i.e. we're assuming the body of the neuron is just one infinitessimal point, rather than having lots and lots of compartments, each with its own RC circuit)\n", " - Assumes R is a constant\n", " - Assumes $V_{th}$ is a constant\n", " - Assumes no adaptation (it's harder for a neuron to fire after it has recently fired)\n", " - Doesn't consider nonlinearities at the input\n", "- Each of these could be added\n", " - Adding these increases computational cost\n", " - Not going to worry about it now\n", " - But we should make sure everything we do would also work with more detailed neuron models\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ " \n", "### The time vs. rate-coding debate\n", "\n", "- There is a standard ongoing debate in the neuroscience literature about whether neurons use a \"rate\" code or a \"timing\" code\n", "- Rate code\n", " - The important thing is the firing rate over some window of time (~100ms)\n", "- Time code\n", " - The *precise* pattern of spike generation carries information\n", "- The NEF gets rid of this distinction\n", " - Some people call what we do rate coding, some call it temporal coding\n", "- The important thing is how to do the decoding usefully ... in short:\n", " - 'Slow' decoders will seem like a rate code\n", " - 'Fast' decoders will seem like a time code" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Temporal Decoding\n", "\n", "- So that's what happens when we allow $x(t)$ to vary over time\n", " - We keep $J(t)=\\alpha e \\cdot x(t) + J^{bias}$\n", " - Feed that into the neuron model $G[J(t)]$\n", " - We get out a sequence of spikes\n", " \n", "- How do decode this?\n", " - How do we get an estimate of $x$ given that sequence of spikes?\n", " \n", "- Can we stick with linear decoding?\n", " - Let's consider a case with 2 neurons\n", " - For simplicity, use the same $\\alpha$ and $J^{bias}$, but use $e_1=1$ and $e_2=-1$" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#assumes has done %pylab inline \n", "import numpy as np\n", "import nengo\n", "from nengo.utils.matplotlib import rasterplot\n", "\n", "model = nengo.Network(label='Two Neurons')\n", "\n", "with model:\n", " stim = nengo.Node(lambda t: np.sin(10*t))\n", " ens = nengo.Ensemble(2, dimensions=1,\n", " encoders = [[1],[-1]],\n", " intercepts = [-.5, -.5],\n", " max_rates= [100, 100])\n", " nengo.Connection(stim, ens)\n", " \n", " stim_p = nengo.Probe(stim)\n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.6)\n", "\n", "nengo.utils.matplotlib.plot_tuning_curves(ens, sim)\n", "\n", "t = sim.trange()\n", "figure(figsize=(12, 6))\n", "plot(t, sim.data[stim_p],'g')\n", "ax = gca()\n", "ylabel(\"Output\")\n", "xlabel(\"Time\");\n", "rasterplot(t, sim.data[spikes_p], ax=ax.twinx(), use_eventplot=True)\n", "ylabel(\"Neuron\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "- Can we still decode $x$ using a sum of activities?\n", " - $\\hat{x}(t)=\\sum_i{a_i(t) d_i}$\n", " \n", "- Let's use exactly the same technique we did before to find $d$\n", " - $ d = \\Gamma^{-1} \\Upsilon $\n", " - $ \\Upsilon_i = \\sum_x a_i x dx$\n", " - $ \\Gamma_{ij} = \\sum_x a_i a_j dx $" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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xZRpy9fHdWbPjIOO/W0P3/KZc5okWLqi5+YUTJhCEZKK6CtLSPbm0eAaSlQA39WeLtnH3Of04a0B7DxVKYLSFSz8RZbrg3vP687PeBfz5g0Ws22GRS5FI1CxrDddLJQjJgq4CJcaAEE0CbqxXjOgau0cRJ8JszkQHuzqxGISscgbsiEY/BojISPc96bBHQTPen7spvnq4RowBQQDEMyBEn+mr62Ko9/28f3JvKhTpIOJ24DYhAQa25jmZvHR1ERn+fSQOVXivkyW1MdIEMCwFwUu09ixnQIyBJGTjrlJue6dumVhGLPcSSAQjw8Qlb6dnLAZutzKj0Y8WIjq3yuWiYYUAfLF4G+WVDnrZ6VEdI2OiNkwgxoCQ4kiYQIgWBw9Xct3rs1AJMDONG5HO7GPhGYiFzDDplNcEgK37yrj/I4vlnIHYhlNi9J5qDRAxBoQUp7oK0sQzIERIdbXm1knzWLF9P49dNMBrdeJHpINUEiYQWjGkMI+3Z2zgrRk2y0Ht9I6VgVO7miCFDFhBsCJVPQNKqZFKqeVKqVVKqTstyq9WSpUopeb5/34dUHaVUmql/++q+GqemDz19UqmLt7On87px7HdW8fnorFy7bpxSUsCoV+Gveyju7Xm5D4F3D9lMbPWhdhF0E7vmA3WkkAoCEBqJhAqpdKBZ4Czgf7AZUopqy3L3tFaD/H/vehv2xq4DzgGGA7cp5RqFSfVE5LPF23jH1+u5BdHdfKtHEjAmakr3AwMiRgmSMCBLU3Bk2OG0rlVLte/OYdte8saVrLTO9ZhAskZEFIdXZ2SnoHhwCqt9RqtdTkwERhl2PYs4Aut9S6t9W7gC2BkjPRMeJZv28+tk+YxuDCPhy880rdyIF4x61glELoZeCJOIEyAMEGMEgiDZbdsksn4K4ZxqLyS/3lzNmUVQXp6ESZAcgYEAfAbA6mXM9AJ2BjwepP/XDAXKaUWKKUmK6UKXbZNevaVVXD9m7Npmp3B+CuGkZPptyobg2fAbiboZuBJRM9AAiUQBtOrXXP+fukQ5m/cwz0fLEIHfg524ZlYeTtkB0JB8JGKYQKs5zHBd4OPgG5a60HAl0DNk1ZM2voqKjVOKTVLKTWrpMRiL/xGzh/fnc+GXaU8M/Yo2rXIqStwGowS4cZrZ7BE2zNg2z4BlhZG5Zrmn+lZA9pzy2m9mDx7E29OD0go9DSBMILvZCJ8nwUhUjx8NoGXxsAmoDDgdWeg3jN5tdY7tdb+p9DwL2CYadsAGeO11kVa66KCgoKoKB4XDG9uUxdv566z+zI8OGHQaTCK1o09nJtwTRu7WWg4ngHbJEGLslo9wkz2i5Znw0mWKaGuGUL2Laf14tS+bXng4yWU1ew/YJtAGOucgTAMqNrPIvFyNATBNSnqGZgJ9FJKdVdKZQFjgHrPmVVKdQh4eT6w1H88FThTKdXKnzh4pv9cynHOke2ttxp2ujkmws3TNlktyqsJwtUjbJkehAlcXjMtTfH30YNp1yKH4n1lzjJivZogkpyBRPg+C0KkpGICoda6ErgJ3yC+FJiktV6slHpAKXW+v9rNSqnFSqn5wM3A1f62u4AH8RkUM4EH/OeSB5uEsu376rLAH71okPVWw45hghgOVk6Dc+1MMEoDT40ct0l4JnrYtYv3roZOhHHNvNwsnv3lUVRW+z6z6iovwgQReAbC/QwFIRFJ1UcYa60/BT4NOndvwPFdwF0h2r4MvBxTBROQiqpqbnxrDpP9r5vnhHhMrtPNMVo3dqsB0fSmbqdDcFmkIQXbbXYTIIHQ1rAwnDGHuqaDkTSocx77mmZBKUyZu5ELeoTSI4FzBhI4YVMQjKi5x6VgmEAIg0c+W8as9budK3rpGTC9MbtJIIxWsmEs2sdaZjT604HmTXxG5b/nbOD7lTsi08Mt0XhQkYQJhMZOrYdTjIHkJNyHu1jMkj5duJWXvl/Lr47tYtA+Tp4By8Q8w5UMrjwDBnXDTiB0+RkZJRCGKdOyzPCzCnVNgxl3je+gc142N0+cy9a9hyzkxHjAjSSBUDwDQmOn5jsszyZIUqI0Q9yws5Q7Ji9gSGEed53dx+C6TgmEMVyKZXpTdzMAxjKxzTaRMcx+stXXpUzj/oz8u3bTyd05XFHFjW/NoaIq6LqJvM+AeAaExk7Nd1g8A0lKuDepgHblldXcNGEOSsE/LxtKVprBTdNpZupqHb/d9SzKnGZp4SQQmmyTaxsbt9Az3ERGk0RFO33dzmKNwwShrmk+yHZokc2jFw9izoY9PPrZsvD0cOsVkQRCQQi4j4lnIDkJ130ZcHN79PNlLNi0l79dPJjC1rlmMqMZJnDjzje5tpHcoIHBTV0rwh2cw31wj9v1+nYDYqT96fI5D+cN6sgVI7ry4vdr+XrZdvd6uB6Yo7C0UMIEQmOnNkwgnoHkJNwZi/+L8eWS7bz0/VquPq4bIwe2N5cZzQRCt8l7pjNDVwmEET5Ax3ab3TCTE8PVya1hE2kCoasnQPpk3H1uP/q2b84f3l1Q90AjY8+A25UU0QgTiDEgNHIkTJDkhO0ZqGbLnkP8YfJ8BnRswV3n9HUnM26egTBmsp4kEFp5MMLQI5J2JrpYlkW4VNPNQOmXkZOZztNjj+JQeRW/e2cuVdU6hp6BmnaR7GYpxoDQyBHPQJITZs5AVVUVN0+YS0VlNU+PPYrsjIAviInMSHcgDLwxx2rwcjOzDnuGbjBYuM7kN9gC121ZzXUsyyLsTxNjyUJGz7bNeGDUAKav2cUz36wyH6wD9XB1TXk2gZDC1HoGUnDToZTA9R71vi/EjNXFzFq/myfHDKF7flPLOhFd182zCyxnxzZ72RsnELqIuZvMtO02QAoVp9cWM95Ab4fl+7ORWRP/tts0yU5mOP0Z6po12BkaDjIuHtaZaat38o8vV3Ba00wGOGjSQIbR9qoRPF9AEgiFZEESCJMct7Mk/4107vqdjDm6kFFDLJ7MXO9mG0JmpA8q0kE39FDlsUh4s5IbaQKgm/baoX9ryi2vG2Jgq/c9sJn9W3panPrTYTC1M9wcZCilePCCgXRpnctTXy530CPoeo7XrKlvsG+DExImEBo7EiZIcgJv5AY3rNLycgDaNM3gvp+HmIeZyIw0gTB4dheq3DKBMAqx5QaDaYSJfG5i+PXeu837C3cHRbsVGGF5BkJcM7i9iZFmUadZdgZPjz2Kg2WHLRrYXM/4mtEIE4gxIDRyZAfCJMfFjbG6WjNjVQkAZ/bNp0lWiC+FicxIEwgjGbxMvSHhJhAGy4ylZ8D2vYcZ5rA1MBw8LeE8o8HIM2AvY2Cnllw+vLNze3BtANe1i2DjIPEMCI0d8QwkOU7u9gBembaO7XtLAWidG+IBRMFywl1b7qbcLknQKeHNNjnPTQKhjZvdJFkv3JCE2/ceql1EYReHZE6nMhODyED+Wf3b1h4v2rzXRoZDSCRUfdmBUEhlar7/4hlIUpwS8fws3bqPRz9bRmFetmPd+gNLHMIEkSS8hbuG325mbTeTD3UNN2EGx/duJ7MmES9MmU79afm5hrhmDSZ94CQDUAH9dMvEuRwqN/juGYUJIkggrJUhxoDQyDHaSTV2iDEQa5xmmUBZhW8ZYcvcTIq6tLCtCzhnpju1D5ZhmSTnNDu2GWBM3cRuNgKyM4BMruEmJGHqGbBNIAxTplN/2i51dBicbTcfcpARVLa65CB//XSJYz2zDY8iMAZknwEhWZAwQZJj4NJ/+NOlrCw+wOOXDCY73b6uT6ZB6MHNswmsjAHjBEKHHfOitbufXT8aeQZcGB5OqzWMEgjt9LcJrTh6WmzCCE6rCVwl81kQoMe4k47gzekb+HLJdtt6MU8gdPPeBCGRSeUEQqXUSKXUcqXUKqXUnRbltyqlliilFiilvlJKdQ0oq1JKzfP/TYmv5i5wuJF/tXQ7r/+4nmtP6M5JvQvMBhqnwcGpfQMZTrN7mxi3XYJdyHKTHfxs3Ox2+wI0kOOyP4Pruk2eDNUukhUKkepjoq+dfAs9bjuzN/07tOD29xZQvL8sqF4clxa6eW+CkMikqmdAKZUOPAOcDfQHLlNK9Q+qNhco0loPAiYDfwsoO6S1HuL/Oz8uSoeDzSy+eH8Zt09eQL8OLbh9ZJ/6dUx3sItGAqHjigC3bm3TNfVRSsAzSiA07M/g17bvPcxHMNsmEDqFbOw8A6HCBAb9baWnjR7ZGek8ddkQDh6u5I/vLkDXS3J0mUAYUZjAxXsThESmdgfCFDMGgOHAKq31Gq11OTARGBVYQWv9jda61P9yOmC4timBCJH8VV2t+eO7CzhwuJKnxgyp227YZNlatBMInfYKsE14swoTOAwG4czW6+VJuNmDwMSlbzOLDzuBMEyZdsma4bQN1NMogdD8M+nZtjn3nNef/6wo4bVp66zrRRqacMJ2N0hBaER4vB2xl8ZAJ2BjwOtN/nOhuBb4LOB1jlJqllJqulLqglCNlFLj/PVmlZSURKZxOIQYdF+dto7/rCjhnnP70atd87o6Jjc3kxUKka4WcDIWTBPe3Li17ZbQhZ1AGIZL3/G9G8i02zQpkoRM27ah8kdcuNJNPVJ+Lj+mC6f1bcvDny1j+bb9DXV0FSYIxzNgYDwLQmOgNkyQesaA1foJS7+rUupyoAh4LOB0F611ETAW+IdSqodVW631eK11kda6qKCgIFKd3RM4wPk/7KVb9/HIZ8s4vV9bLh/RNai+y4HGaQAIKcPBbW08uw8jgTBUW7tciLATCF2GXZz0AAeDzWA7Yrd5FJEkcwaetx1sDQZkC92UUjx68SBa5GRwy8S5lFVUmeW0WOoXRs6AiZdJEBoDKZxAuAkoDHjdGdgSXEkpdTpwN3C+1rp2P1St9Rb//zXAt8DQWCobNkEDY1lFFbdMnEuLJpk8etEgVPCaUtcJhGHmDDgN9pEkrYXtGbBpZ5tAaNBXrhIInTL/w/A2RBI6iUcCodHmTNZl+c2yeeySwSzbtp+/fb7cvWegdg4gCYRCCpOqCYTATKCXUqq7UioLGAPUWxWglBoKvIDPECgOON9KKZXtP84HjgdCLHr2mKAlfI98towV2w/w+OjBtGmWbVHfbQKhw2zQSIZNGCCUrFgkENruMmjnNTDY5dCVS980gTBKCZCB5Xb95ahPiPfo5DkwkdFAj/p9fkqftlx9XDde/mEtc9fvsm4TUq4kEApCyiYQaq0rgZuAqcBSYJLWerFS6gGlVM3qgMeAZsC7QUsI+wGzlFLzgW+AR7TWiWkMBAxCs9fu4NVp67j6uG78rHeIkIXRLM7AMxC3BEInt7ZVeYiBx+6admWx3GfANoHQSmakCYQOYRe7BEOnlSW23hEDo8lBjzvP7kvvds14+quApxsaJRBGsLRQwgRCslAbJvBmWM7w5Kp+tNafAp8Gnbs34Pj0EO2mAUfGVrsoEXCTenzqEo4o6M4dI/uGrm8yi0uIBELDmWy4YYIGM2sbr4FJ/kLcEwjDlOmYQGjnVXAwDE30NV11oasIvn3kZKbz5JihPPjM7LoiN2GCSDwDEiYQGjs1BnkKhglSg4Cb1J7SMp4YPST00wjBfezWM8+AjZ7GCW9R9gzYhTvitrSwJhHQJikxZksLQ4WMXBiYpk9FDPH96tehBWOKAhYFuVpaGIlnQMIEQiMnhRMIU4MA1+cvj+7M4MI8+/pGCW8GqwmCchVCXieUDMe4v51nwNDr0GC/ALucAZu4uYlnwHYgdJGfEHguqnkINhsHRZJvEHjeyDNgmKtiU+/cge1qj4v3lYasVycrGksLxTMgNHJSeGlhSrDn4KHa49FFdtso+HGdQOgQJwZrY8BiyWPo9i5n3FFJILRzs4do53bgDjUIOT0y2PZ6Jg8qSoYEwtD10lVdvX9+uYLqaqcZvyQQCoJ4BpIYrTWv/rC69nWmiRvUdQJhiJtgtdMAYujKD5YVXJ4QCYR2A34IT4vWEOpJfabv3U6mrf4R9KfbEEOgnibLKyNIIKwrq3t/Szbv5uUf1oauCwGfXxgDuiQQCslC7WoC8QytqgemAAAgAElEQVQkHW//tIGlm/fUnTC5YbldF2+SQBjOABNRAqFpmMDN7N9GH7s+CxULN93EyDaBMFzPRgT9GZZnwEVYwziB0Gx1xvCuefxt6nJWbN9vU9/g8clO15IwgdDYSeF9BpKadTsO8tDHSxnQoWndSZMbVqiBxqpO8HEgTrPzmC4tdPBKhJVAWG19HCjHjWfArn/CTSAM17MReM7RcAtjxUTcPQN1Zdef1JXm2Rn8/p15lFeG+k4bPMUy5LUMjBhBaAyk6j4DyUxlVTW3TppHZrriymMK6wqMPAMma8ITwTNglzPgMHiFtbQwXM9AiFmxXf+Eu7QwXM9G4DnHHAyXXoVAPU0MTNP9GAw9CC2z0/jfXxzJ4i37+OfXK0PUj2BANzGeBaExIJ6B5OOF79YwZ8MeHrxgIHlNAtZiu/IMGLh0g48DceUZsJptOlzDJIM/1LVDtbW7pqlbP5TXINTeBG7LAq9h621woT8Qn2cTGBiYpqsuTPfB0FWcOaA9lwzrzDPfrGLOht0W+kWQQCg5A0KyUJtAKDkDScGizXt54osVnDeoA6OGdHK+kQfjdjVBqJugm9UETrNRu9UGjisRwlxNYOdmt12FEGqlQbABYdfGcKWFK/0jMK4i+SzAcNbvIq/ATT1/X9778/50aNmEW9+ZR2l5pftrO11LVhMIjR1JIEweyiqq+P0782jTLIuHLhjoO2nqWq3BdQKhw2wwuL6pDOO17U5hAheDV9hhAhvjKFQs3DhMEIswRwT96TbEEKin0T4DZu5/+3oNv3vNczJ5fPRg1u8q5eFPlwY3aNjOFEkgFJIFCRMkD/9v6nJWFh/gbxcPJi83y3fSZOAOxChMYHBTjlsCYSRhApvZv5sd/EwGdtuQhJ0eYYY5wk4gdFrmadXWyTNguNrATkYDPczDBDWMOKINvz6hO29O38C3y4sD6kgCoSDUhQnEGGjU/Lh6Jy/9sJYrRnSt/xAi154BA7dnQiQQ2s1kndza4cysDQfvqHsGoqV/JP0ZgVchUE+T70pUPAOh+/a2M/vQp11zbp+8gN0Hy/31ZWmhIIhnIAnYV1bBH96dT7c2TbnrnKCHEJnGWWvru/UMxCqB0KncxmgxTnizG9Tt4vE2mfoNBugQepouLYxbAqHN7N443yDEplZOcfV6ettsjGWa/2LTtzmZ6fz90sHsLi3nng8Xoett/hRJAqHkDAiNHFla2Pj5y5QlbN17iMdHDyY3K+hBkAmRQOiQlOZZAmHQwGOXuBfTBMJgPQzfuxuDJRLjKtYJhMaJgQ6JlVbyLK45oGNLfnd6bz5ZsJUp87c462+HJBAKyUKtMaA8ubwYAxHy+aJtvDdnEzee0pOjurRqWMFk4A7EKIHQ4ObtGCYwHGBC6RJRAmGU3ewmywRdhQkM33u0whyB57xIIIxpmMB6kL7+Zz0Y1rUVf/5gEQcPVzjLdLqWhAmExk4qhwmUUiOVUsuVUquUUndalGcrpd7xl89QSnULKLvLf365UuqseOpdQ/H+Mv7074UM7NSCm0/rZV3JJL4fSNTCBE6zcxdhAtuEN5uy4Os00MtmUHeTgGeyB0E4eQbB+gaXh62/jUy3CYRau/AMOBgLdjLCrRfimulpir+PHkxlteaHlTv87SIJE4gxIDRyUjWBUCmVDjwDnA30By5TSvUPqnYtsFtr3RN4AnjU37Y/MAYYAIwEnvXLixtaa+56byEHDlfyxOghZKaH6EqTgTsQI8+AwU05qgmEdklrDoZG2Il7NnkBYSUQuojhGycQ2oUrwpTp1jNg4nkyXW1gJ6OBHoZhLBujoWubptxzbn+27S11vrbldWweDCUIjY0U9gwMB1ZprddorcuBicCooDqjgNf8x5OB05RSyn9+otb6sNZ6LbDKLy9uvDNzI18tK+aOkX3p1a556IquPQM1N267m62Bu9ZVAmEYxoLdAGM6+3c1szYcvKPuGbDpm2h5NgLPORpuLpZc1pCAnoEaLhteSOe8HAAqKytt60ZyHUFIeDz2DGQ4VVBK/QP4vdZ2acZh0QnYGPB6E3BMqDpa60ql1F6gjf/89KC2naKsny2tF7/CO61mMnxza5hkU3FHwH7sP70A+7dC8RKoKreuX37Q9790B0y60lnmjBdgxecN62yaVXc89U+Q07J++fYldcff/wMWvFO/fPe6uuN5b8HG6fXLyw/49dzZUM+S5XXHPz4DSz6sex14A9+1pn7bAyV1xyv/DyZts5Y5/VlYOqXu9ZZ5dccf/x6ycgP0rOnPXfWvdTjgKXobf6pftnt93fG8t2HTT/XfX+17t5G5aWZ4Mg/ttujPFXXH05+FZR/VvQ7sz93rrb8zpbv81zhoXV55uO64eEno792WuXXHXz8ILQuhdXfYvqh+vZ2r645nvgirvrSWByjg1AO+96MP7ab6nStJM8mf6jC4/nc41HtHQaejfLo7eeY6DIbipaF/mzWyNs+BUI8j7zgUti2E6hCGTbsjYecqqDzUsCyzqXV/1uo3BLYvhuqKhmU5LaFZe9ixvGFZfm84UAxlexqWdRhifT9Sab73snm2Oz1bFvq+k/u3NCxrdyTsWg0VpQ3LOg0L/Rm16Ow771ZmZi607gHbFzYsA/vP264/ATKaQH5P32cditx8yGnhu8+FoqAv7NsCh/fV3eM82oFQOY3xSqmHgMHAGK31QaXUmcB9WuvjI7qwUpcAZ2mtf+1/fQUwXGv924A6i/11Nvlfr8bnAXgA+FFr/ab//EvAp1rr9yyuMw4YB9ClS5dh69evD64SHl/eT/Wyz8xuXC07+264m2bV3QTa9IQ0C1tMpUH7I2HrAkLecAJlHiwJXaegD+zZABUWNx6AVt19N4hDFvvFAzRr69Nxn8WP0EnPvC5QXuozaoJJy4C2/ax/SNnNoVk73w3Tjcy2/X03hcCBzUnPjBzfTa04eEc8/O89E/Ztblim0qDdQL/+UZRp158tC32fY8j+7A/bFjQs8wmHDoN8+oYaENMzIb9P6IGohvxesG8rHCz2fbcAsltCiw7167Xo6BsQDxQ3lBHI/q1QtheA5dWdyW+WSZum2fZt9myou/nn96l7b1bsWOmfcSnf78FEZusevv5oIGuFr/9Umm+ADWbXWqjyf//yeze8qe/dDOV+g7FVN993pYaKUvv+3L0+9L3j8P6671ST1r7vWQ0HiuGQ3xhs0cn3+zKRWbLM9z8tE9r0CNDzEOzx30OzW/g+5xpKd/m+F+D7DTcJSKi2e+87V9UZTwVBS7PDlWmnp9N7P3wA9m3yHTdp5btuIJVldZOlrObQ0mIeWrbX990Gn1HQNL9hnQPb6+69LTpDdjPf72v0G1FdUaCUmq21LnKq5+gZ0Frfo5QaC3yrlDoMHAQaJPuFwSagMOB1ZyB41Kmps0kplQG0BHYZtq3RfzwwHqCoqCh63o3T7yft9PvdtXnlXFj/ve/4mv+Dpm2ipo4gxJVNs+DF03zH/X8Oo54JT85Ht8DsV6FZe54vfIsp87fw/mXHMbgwL3Sb1y+ANd/4jq/8sOHAGcjf+/sGyuzmcOMMM5lXf2It829H+DxhuW2sZY0/BbbM8R2P+099DxXAu7+Cxe/7ji+b6DOIa9g8G/51qu+433lwwbP1275yDqz/wXd87ReQ27qubPlnMGGM73jYVXD6/XVlX/4Fvv+77/jcx6HP2QEybe5HD+T7PBB5Xeq/1y1zYfzJvuO+58GFz9WVzXgBPrvdd3zynVB0TV3Z5GtgkX+uNuZtaDegruyJI2HvBp/HIbhfZ4yHz/4YQua1sGiy7/jSt6D9wAA958H4n/mO+5wDv3ihvtxXz4N1//W/96n1B+sVU+Ht0b7jo66EMx6o37ZkOTzjj0r3PA1Gv0YDFkyC96/zHR/7GzjxtoZ1pt4NPz7tO/75k9Dr9IZ14oijP0IpdRpwHT4joAC4WWv93yhceybQSynVXSmVhS8hcEpQnSnAVf7ji4Gv/eGKKcAY/2qD7kAvIMjvmoCkpVkfC0JjI3DWG0mMs6atUtx//gDaNs/m95PmcajcJgcgMMHKKdmqVr7D781EZq2sEOVOMgLPBcsIfG2la73+DipXNnLtrml3P6ppF/w+AmUEt7H7TtjqmGZ9reBr2L234LauPgsX/Rl8LuR3xeD3kWbTlx5gosHdwJ+11ifjG5DfUUqdGumFtdaVwE3AVGApMElrvVgp9YBS6nx/tZeANkqpVcCt+D0SWuvF+CL1S4DPgRu1bgQZRHY/aEFoTETru1zbVtGySSb/75LBrCk5yKOfL4vOtWvcrY71DGTWnHcqD1XHdkCPUdtIy+J6LQvXeFSu51auCl1mUu4k302dOGISJjg14HihUups4D3guEgvrrX+FPg06Ny9AcdlwCUh2v4V+GukOsQVJ4tTEBoLbmbnJnL8N8Pje+Zz9XHdeHXaOk7v144TelnEWp1m0VbyTT0IdjKdZLmaUYaYiYeSbzsLTgtdZjuTN/BUuPI0hDlTt/O42M3CTfQPR24kHh5TGSY6xhnX5ojWeitwWgx0SX6idQMVBK+J1o0sIExQw51n96VHQVP+OHk+ew9ZZM6HFSZwqOcqTOBgLIC129fO5e1m8ArHBW9ZZmBg2BkQrgZnm1mwnZEVaZgjHLlRCRNEyWCII2H5JrTWIdLTBVsSzBIUhLCJmmegoYs4JzOdJy4dQsn+w9z3ocXqBjf5CsaeAZMYr01sO1BGqPbRmo3ato3W4N3YPQMOn6fxZ2Fl1LnwIlnJt9IhAcYD7wMVqUSCxYgEIWxikDMQyKDOefz21F58MG8LnyzYGv61neL8bmSa5gyEEyNuNDkDNvFyuzh9ONeKhsyQck3fh8vPwrJOiGWCCTYeeK9BKmEX2xOExkTUjIGGYYIabjylB4ML87j7g4UU7yurK0j01QSh2tu6piMxBgxn67Zu9hDtbHMQohTDt11NEANPhJPcuIUJbMIcHuC9BqlE7ZdChbYWBaExEKMEwkAy0tP4++jBlFVUcft7C6jdIM2Ne9XJtW8lJ9zB3slYiEaYQKU1vHeYuOBtyyzuR0ZhguA4vYFxYaeHkxEUtvFhJdcmFOA0aTNKIDSY+EmYIIUxjV8KQqIT7QRCrI3jHgXNuOvsfny7vIS3f9rgO+l5AmE0PAMuZvdO17aLj9sO3jb6xtUzYKCHXTurtsbGlcPM36m/Uz2BUAgTpwQjQWgsmCRRmVDbNvTmoFeM6MqJvfJ56OOlrNtxMKCNgYdNheMZCCHTItnR8lrhxIid+tPGg2JvZJjE6m0GvHBzEEKtTgALL4SBHpbXM437u3h/4PxZmITITH4f4hlIYUzjl4KQ6JjMjkyoGSRsnpGSlqZ47OLBZKYrbp00j2psbuQNGhv+5mo3J7J5L06GheNqAjuXt0N/2l27XlsXA7SJe97WaHHhhQhbD1NPhJ2nxUauY386eSsMEgidvi92cuKI9xqkEhImEJKFqIcJ7B8b0r5lDg9eMJA5G/awdLv/SZQmvyO3YQI7mTFNIIwkTGA6QIfhnndjtBgPzuGGCWwMEztPhKVcO2+EoSERSraJjOC2CTAmiDEQTyRMICQLTmux3cpxerwwMGpIJ84b1IF5m/b5Tpj8jmoHGifPgIHRENMEQofM8lCbAAXLchXjNxgQ47LPgOHAHK0chcBzTgZI2AmEJgaDeAZSF2XzgxaExkS09xkwfJ7oQxcMJDPTt4u6NvIMGLj/wSyc4BTmc5JhvDzQZjbqNFMNJ8ZvZ2C42ksgMIbvxmtgo4dpXoCtB8MuDOLyuQUm5aZ1xDOQwpjGLwUh0XFK0DKWYxYmqCEvN4vjerYF4HCVQRvTPB2TREPTnICwwgSmCW9WZTaDsImb3W7AC3s1gYuEPuPkyDDem5Nct6szgsuNZv3iGRCCMY1fCkKiE61ZjYswQQ2dWzcHoKwSpq/ZaSbfeAmizS3RKeTgJMN2bbuha9qtW9tk8HaTbR92mMAkgdBtmMBmwI1lmEApwMHjZBQmMAg3xBExBuKJJBAKyULUEgidVxM0ICD567ZJ89lfZvEwo2DdHMMEUfAMOMmwCw9GLYEwePA2mJG7SiCMRgw/xKZJbuPzdnkrpsZVOPsMALWeLCfD0E6GhAlSGEkgFJIFk+VVJhjsMxCqTdMmWWzde4i/fLTEWX40PQNOM3+TOHIo2aHqGbvSw8gZsDU+wpAH9oNzg2vZ6WF4Pdt2LjwfENSfhvtY2MqIwGCII2IMxBO7L6AgNCacErRMqQ0TuDEGfG0y0zP4zck9mTx7E1MXb7OXb3pTj+k+AwayQ8m3TbIzcMFbltncj0K9F9NHIoczcDsu47NJumzQzibxMPBcOPsM+CrZ62Dy+3DSMc54ooFSqrVS6gul1Er//1YWdYYopX5USi1WSi1QSl0aUPaqUmqtUmqe/29IfN9BmJgucxKERCfaCYQucgYC3co3n9aLAR1bcNf7CynZfzi0nom2z0AD2YaDV0z2GbCZHdvpbDc424UJQl7LSg9D48MO2zCBgwHiGCYwMAaMwgTejwleaXAn8JXWuhfwlf91MKXAlVrrAcBI4B9KqbyA8j9qrYf4/+bFXuUoIGECIVmI1qymNmfAhTEQ8DvKykjjH5cO4cDhSu4IfJhRcF3TMEGIZyTUkxGLMIFTvUQJE9jpGfidsNtnIJScaIYJnOrZhglcZPlLmCBiRgGv+Y9fAy4IrqC1XqG1Xuk/3gIUAwVx0zAW2GWwCkJjJRqrCVzlDNS/Xq92zfnT2X35elkxr/+43lq+8T4DNsaAnau+ngyDm7+JLlZt3bq1TdzsljNnk7CJCy+ErVFh994MwhxOuO5PF4l9JiEhE09RAowJXhkD7bTWWwH8/9vaVVZKDQeygNUBp//qDx88oZTKjp2qUUT2GRCSkaiECcJYTRDAVcd145Q+Bfz106Us37a/oXzHGV6NEWBgDIQcAPxtw1lNUE+OXcKb0+w5jBi/bUzdMOkxWL6bWXw09hmww62nxSgE5vBZyz4DdSilvlRKLbL4G+VSTgfgDeBXWtf6Eu8C+gJHA62BO2zaj1NKzVJKzSopKQnz3UQJE1ekIDQ2IvIMhBMmaHg9pRSPXTKYFjkZ3DxhLmUVVfV1M57h2RglTrKccgoi8QzYeS7sYs9GSwGtduEz8Ki42mcgzFwM06WMdjjJDcYolu//npiECVJ9nwGt9ela64EWfx8C2/2DfM1gX2wlQynVAvgEuEdrPT1A9lbt4zDwCjDcRo/xWusirXVRQYHHUYZa616MASGJ8GhpYfAYlt8sm8cuGczy7ft55LNlQXUddDQxaJy8DI5hgkhi3IaDclg5AzYGhqucAbtr2elvM8uuJzPEo4+dCLlxUCh9DOL9TuV2+yrU6tUwvLN17yHKK10YxlHEK9/EFOAq//FVwIfBFZRSWcC/gde11u8GldUYEgpfvsGimGobLQwe1yoIjY6IjIGaMIGLNmmh25zSpy1XH9eNV6et45vlxQHu7jBjv1bXdZr5h7OaoJ4ch6Q2O7muVhPY3I9M8pvcLGM0kROzMIGNp8VOn1BtTeSYyAgyOsoqqrj65ZmMe2OW/TVjhFfGwCPAGUqplcAZ/tcopYqUUi/664wGTgKutlhC+JZSaiGwEMgHHoqv+mGSAK4gQYg6HicQBnPn2X3p2745f3x3PoeqatqYzvBMEggdYsAxSSC00S/sfQbsZusmCYRB79MuC98kgdApfh92mMAmDGJZPxr7DNisrLC6jlI88tkylm/fz1XHdQutWwzJ8OKiWuudwGkW52cBv/Yfvwm8GaL9qTFVMFYkQMaoIEQdr/YZCEFOZjpPjhnKz5/+nh/X7OHUwOs4yrQxSkzDBI7XcMA2xm01izdci99g8LabHRt4VGwTCF0M3Ha5GNHwDDjJDcbuwU+1OO0zYOAZCGj79bLtvDptHb86vhun9LHNp48Z3qcwphKSMyAkI57tMxC6Sp/2zbn7nH5s3FPmO+EYJjB4D2lOM/8w48sm9cLdsMgk5m43czZZamn1ukGYwCD3wPU+A4b3USe5tm3js8/AH99dQN/2zbljZF8zvWKAGAPxJJxlVIKQ6ERlNUEYCYQOTa48tisdWzUDYE9ZlX1lNwmE4eYERGNdvGPbMNzzVn1vsj+Dq30GDOS43mcgkrBLBG3ryTEICRl8Xw6WV/L02KHkZHrnPRZjIJ5ImEBIRqIRJnCTM2D4O1JKcUJvn8v1xzW765YbWlZ2kTPguG48VPZ4JGECA/2s2rpx81tdL+wwgYvMfzuPS7hhDqdrG+/5EKqem30GnD1Jfzl/AD3bNjfTKUaIMRBPEmBjCUGIOh49qMiEJtlZAOw+VMXDny41kBmFfQZCyQh3dl/vnEM/hZMkaFkWoWcgrH0GHJZUxmufgUBC6l2zz4CBlyiEjCXbDtQejy4qNNMnhsjoFE8kZ0BIRhIwZyC4bu8Oebz+43o+W7jVul409xlw0MX5Oi73GbBra7JPgGXOgMH+DHazf1dhAhsvhGk+hB1OT3q0I+x9Buw9A3tLK/jb/62qq5IAY4IYA/EknFmQICQ6XoUJTJr45Q/t2obBhXnc/t4CNu4qtdHD4LrhLh2M1bp4u7Ymbn67+5GrMIFdAqGBHKf3Ha99BpzamsixWZGgteaO9xZQcrDCTIc4IcZAPJF9BoRkJBr7DMQoTFAjPz09nacvGwrATW/PabjLm1HOgFOc2OH5BrHaZ8CurRs3v2Udg1CC1bXdZP7brVywDRPEwdMS7j4DNjLenLGBzxdv41fH9zDTIU6IMRBPJIFQSEbivs+Ai9tWQOy7sHUuj108iPmb9vK3z5eFkGmyz4BTnDiEjIgeVGToQbHbCKiBPu4HMtuySPcZsDJ0vNhnIBDHfQYMPtMAGUu37uPBj5fws94F/GJYFzMd4oQYA/FEcgaEZCSinIGa30Lkzyawr+urPHJgB646tisvfr+WL5dsD6gXhzBBrPYZsGsbds6Aql/H7bVcJRCq+v9DyQw3ZyCifQacVm+YGAO+OqXllfx2wlxaNsnk8dGDSUv3ZM+/kIgxEE9qk6UkZ0BIIqKxmsANbp5nYLGPwV3n9GNAxxbc9u58Nu85ZK6H03K7aDz/IJSccPcoMEncs7ofaYdseauyerP44ORCAzl2z0gAiz0UPOjPBnJMjEjfte77cDGrSw7wj0uHkN8sO7LfTQxILG2SHQkTCMlIVBIIXeDmd2QhPycznWfGHkVVtebmCXOpqKo2HBwcZstOMiJZFx/uLDjcfQaM2rsYnG33GQhTx4j2GTDMVYlGUqhKZ9LMjbw7exO/PaUnx/fMD62XhySWNslOgn34ghAVorG0MFZtQtTtlt+Uh39xJLPX7+bvX6yITnJvYw0TuNUl5LVsXOomGxxZlrnYDtlNvVgvLQxg6faD/PnDRRzfsw23nN47oG1iTQ4TK2iR7Jjs9y0IjY1orCZwQ+3vyKRu6Lj4+YM78uPqnTz37WpGZpUy2FGWy0z+Bu0jcWuH2dbEPR92zkDwtQxWDLjVw45o9GccPtNb3plPXm4mT44ZSnqawdMMPUKmqvFE9hkQkpG4hwlqYt0m8v033xC/uft+3p9+HVrw3HfrnGU5upSdwgQRJLzFe5+BmnPRcNOD2aoGt/dFL/ozDDkb9pTz9NijfHkCbmTHGTEG4kmCffiCEBWi8aAiN0Txd5STmc7zlx9FzVMLdCSGuqNLOR4Jb27CBGbx7ojam+gRLuHuyuimbRR2lfzDWf04ulvrsNrGk8TSJtmRpYVCMuJVzoCbn5HNb65rm6bccLIvlrvnkM2ucBG7lBvTdsRhLC201cvE8HAbJohgRYDx44/DW1o4e/2u2uNrTwyxuZCECUAp1Vop9YVSaqX/f6sQ9aqUUvP8f1MCzndXSs3wt39HKZUVP+0jIMGWkghCVIjIGIjxagJDjurmy/A+WF7FxJ82hCckatsRWyUQxmI1gUkCYZhJgZHUjbbMOIcJdh44zI1vza0TEaqfxTMAwJ3AV1rrXsBX/tdWHNJaD/H/nR9w/lHgCX/73cC1sVU3StitpxWExopXCYRufkZOvzm/HjkZadw7ZTELN+0NW0ZIEjWB0C5nwI5oewbc3hcjeQpk1MIE9csrq6q5eeJcdpWWRy47znhlDIwCXvMfvwZcYNpQ+R7vdCowOZz2npJgH74gRIVE3mfAWA/frbBV0ywKmmVz/Zuz2X3Q4IZuISMkkcxGvdpnwA5X+z3EYKiJxj4Djm3deQYe/XwZP6zayUOjBoanl4d4pU07rfVWAP//tiHq5SilZimlpiulagb8NsAerXWl//UmoFOoCymlxvllzCopKYmW/uEhOQNCMtLIcwZ85b6berpSPPvLoyjZf5hb3plHVXXAbDXSrWkTdZ8Bu5wBN9eyI9KQRCT1IzKuzD/TD+dt5l//XcsVI7oy+ujC8PTykJgZA0qpL5VSiyz+RrkQ00VrXQSMBf6hlOqB9S0gpH9Jaz1ea12ktS4qKChw+S6iTIJ9+IIQFeIeJojFLLNO5uDCPO47vz/frSjhiS9WuJARpQTCqIYJIlxNYIer1QSx8OZ4EHZpIMfXv4u37OWO9xZwdLdW/Pm8/tGRHWditumQ1vr0UGVKqe1KqQ5a661KqQ5AcQgZW/z/1yilvgWGAu8BeUqpDL93oDOwJepvIBbIPgNCMhJRmCCMgb32d+SijcttZ8cO78KCjXt5+ptV9O3QnPMGdYzCPgPxSHgLfiaAQQJguDkD0U4gdL3PQCT9GSXPQFo6uw+W8z9vzCavSRbP/nIYWRkR7H/gIV6FCaYAV/mPrwI+DK6glGqllMr2H+cDxwNLtG8h8DfAxXbtE5IEixEJQlTw6kFF0STot6mU4oELBjCsayv+8O58Fm22SChsKMShOJKZbAxCi5Hej1JhnwGHfq/UipsmzKF4/2Gev2IYBQWXgTcAABR/SURBVM2zbeu7kR1vvBqdHgHOUEqtBM7wv0YpVaSUetFfpx8wSyk1H9/g/4jWeom/7A7gVqXUKnw5BC/FVftwkZwBIRlJhpwBiwE4OyOd5y8fRqvcLMa9PouD5VUWDV1cI5LH5sbSAAo7Z8DFB5Bw+wxEZ+h79j9rfQmDFwxkSGGeu8YJNg548mwCrfVO4DSL87OAX/uPpwFHhmi/BhgeSx1jQoLFiAQhKiTFagJrmQXNs/nXlUVc/Pw0Plm4ldGRXCMeYQI3xHM1gaf7DESQkOnAGzM2cdWxQxhdZJAwmOCI3zqe2D0/XBAaK0m0z4AVAzu15LGLB7N17yG/qBCyIn0crq0uMQwThL3PQJTDBK73GYhDQqYDRd3zucc0YTDBEWNAEITI8OpBRdHEwWX788EdGd7Vt7/8vI17wrtGJA/WSUQa8z4DEbjo1+88WHv86MVDyUxPjmE0Od5FYyPBYkWCEBER5QyE81tQ9f5F5ToGA/CIHm0A+M+KEr5ZZrEAKmo5A9EdvJyvF499BjzMGYiicbX3UAXXvDqz9nWL3MaxE74JYgwIghAZkYQJwhnkYpJZ7yxT+evkN8/mxrfnGK4wCBQQpbXtiUJj3mcgDCqqqrnxrTls2FXqXodGgBgDXiA5A0Iy4ZWnK5o5Aya/SX+dC4Z0Iq9JJte8OpMtew6Zy4jErR3Le0Yq7jPgEq01901ZzPerdvDwhQF57Y3FcDNAjAFBEAQXNMvO4OVfHU1peRXXvDqT/WU2jz0OJEpr2xMGV0sLvdxnIPL+fOn7tbw9YwM3nNyDSwJXDohnQIiIxvJjF4REJqo5A+7W1fdt34LnLj+KVcUH+M1bc6ioqo5ezkC4+kVTdrSv5+U+AxG+lynzt/DQJ0s5e2B7/nhmn/B0aAQkzzsRBEGIIyf2KuCvFw7kvyt38OcPFoVeclhDErmUXROLFSCxkBnEtFU7uG3SPIZ3b80Tlw4hLS3IsEiiz1SMgXjS0u9eOvYmb/UQhGhw/O+iJEjBiBvNqzf1P+T0hN871+15hu9/f4ennOfmO8vse67vf5+za09denQXbjqlJxNnbmT8Mn9m+fDrrNvXzFBPuce6/IRbQ1+75t5x3G+tywddWvcegmnaFo602C7J7n40eIzvf9fjGpadeFtoPTseBV2ODV1+8p8anjviFN//gRdZt+k0zEHmXdbnT/pj6DYtOvr+H3ezdfngsVRmt2LcG7Ppnt+Uf11RRE5mwMB/2r2+/3aegd4joU3P0OUAOXkw5HL7OnFCOVqzSURRUZGeNWuW12oIgpBEaK35w7sLeG/OJh4YNYArj+3mtUpChGzcVcpFz00jPU3x/m+Oo0PLJl6rFDZKqdn+p//a4sl2xIIgCMmCUopHLzqSvYcquG/KYlo2yWTUkE5eqyWEya6D5Vz1yk+UVVQx+YbGbQi4QcIEgiAIEZKRnsbTY4cyvFtrbps0n2+XWz6VXUhw9pVVcOXLM9i0+xAvXnU0vds191qluCHGgCAIQhTIyUznX1cV0ad9c65/czaz1+/yWiXBBaXllfzqlZks37afFy4fxvDurb1WKa6IMSAIghAlWuRk8to1w+nQsgm/emWm+10KBU8oq6jiutdnMXfDbp4cM5RT+rb1WqW4I8aAIAhCFMlvls0b1w6neU4ml780gyVb9nmtkmBDzTbDP6zayWMXD+acIzt4rZIniDEgCIIQZTq3ymXiuBHkZqbzyxens3SrGASJSGVVNb97Zx5fLSvmwQsGctGwzl6r5BmeGANKqdZKqS+UUiv9/1tZ1DlFKTUv4K9MKXWBv+xVpdTagLIh8X8XgiAIoSlsncuEcSPIyUznly/OYPm2/V6rJARQUVXNLe/M45MFW/nTOX25YkRXr1XyFK88A3cCX2mtewFf+V/XQ2v9jdZ6iNZ6CHAqUAr8X0CVP9aUa63nxUVrQRAEF3Rt05S3rxtBZrpi7L+ms2K7GASJQHllNb99ey6fLNjK3ef0Y9xJPbxWyXO8MgZGAa/5j18DHLYH42LgM611qUM9QRCEhKJ7vs8gSEtTXDZ+Oou3SFKhlxyurOI3b83h88XbuPe8/lx30hFeq5QQeGUMtNNabwXw/3dK3RwDTAg691el1AKl1BNKqexQDZVS45RSs5RSs0pKSiLTWhAEIQx6FDTjnXEjyM5IY8z46bLs0CPKKqq44c05fLl0Ow+OGsA1J3T3WqWEIWbGgFLqS6XUIou/US7ldACOBKYGnL4L6AscDbQG7gjVXms9XmtdpLUuKigoCOOdCIIgRM4RBc1494bjaNM0i8tf/InvV+7wWqWUYu+hCq586Se+WV7MwxceyRWybXQ9YmYMaK1P11oPtPj7ENjuH+RrBnu77bpGA//WWtc+NFxrvVX7OAy8AgyP1fsQBEGIFp3ymjDp+mPp2iaXa16dydTF27xWKSUo3lfGpS/8yNyNu3lqzFDGHtPFa5USDq/CBFOAq/zHVwEf2tS9jKAQQYAhofDlGyyKgY6CIAhRp23zHCaOG0H/ji244c3ZvDF9vdcqJTXrdhzkouensWFXKS9ffTQ/H9zRa5USEq+MgUeAM5RSK4Ez/K9RShUppV6sqaSU6gYUAv8Jav+WUmohsBDIBx6Kg86CIAhRIS83i7evO4ZT+rTlzx8s4n8/W0p1deo8QTZezNu4h4ufn8aBskomXDeCE3tJqDgU8ghjQRAEj6isqub+jxbz5vQNnDeoA//vksHkZKZ7rVZS8PGCLdw2aT5tW2TzytXD6dm2mdcqeYI8wlgQBCHByUhP48FRAylslcv/fraMbXvLeO7yYRQ0D7lASnBAa83TX6/i8S9WUNS1FS9cMYw2zaQ/nZDtiAVBEDxEKcX//KwHT48dyqItezn/6e+Zv3GP12o1Ssoqqrh10nwe/2IFFw7txFvXHSOGgCFiDAiCICQA5w3qyOTrjyNNKS554Ufem73Ja5UaFRt2lnLRc9P499zN/OHM3vx99GCyMyTkYooYA4IgCAnCwE4t+ei3JzCsSyt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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import nengo\n", "\n", "model = nengo.Network(label='Decoding Neurons')\n", "\n", "with model:\n", " stim = nengo.Node(lambda t: np.sin(10*t))\n", " ens = nengo.Ensemble(2, dimensions=1,\n", " encoders = [[1],[-1]],\n", " intercepts = [-.5, -.5],\n", " max_rates = [100, 100])\n", " temp = nengo.Ensemble(10, dimensions=1)\n", " \n", " nengo.Connection(stim, ens)\n", " connection = nengo.Connection(ens, temp) #This is just to generate the decoders\n", " \n", " stim_p = nengo.Probe(stim)\n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.6)\n", "\n", "t = sim.trange()\n", "\n", "x = sim.data[stim_p][:,0]\n", "\n", "A = sim.data[spikes_p]\n", "\n", "gamma=np.dot(A.T,A)\n", "upsilon=np.dot(A.T,x)\n", "d = np.dot(np.linalg.pinv(gamma),upsilon)\n", "\n", "xhat = np.dot(A, d)\n", "\n", "figure(figsize=(8,4))\n", "plot(t, x, label='x')\n", "plot(t, xhat)\n", "ylabel('$x$')\n", "#ylim(-1,1)\n", "xlabel('Time');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What if we add more neurons?" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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"text": [ "//anaconda/envs/python3/lib/python3.6/site-packages/matplotlib/cbook.py:632: IgnoredKeywordWarning: \"color\" keyword argument will be ignored\n", " IgnoredKeywordWarning)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import nengo\n", "from nengo.utils.matplotlib import rasterplot\n", "from nengo.dists import Uniform\n", "\n", "model = nengo.Network(label='Decoding Neurons')\n", "\n", "N = 50 \n", "\n", "with model:\n", " stim = nengo.Node(lambda t: np.sin(10*t))\n", " ens = nengo.Ensemble(N, dimensions=1,\n", " max_rates=Uniform(100,200))\n", " temp = nengo.Ensemble(10, dimensions=1)\n", " \n", " nengo.Connection(stim, ens)\n", " connection = nengo.Connection(ens, temp) #This is just to generate the decoders\n", " \n", " stim_p = nengo.Probe(stim)\n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.6)\n", "\n", "x = sim.data[stim_p][:,0]\n", "\n", "A = sim.data[spikes_p]\n", "\n", "gamma=np.dot(A.T,A)\n", "upsilon=np.dot(A.T,x)\n", "d = np.dot(np.linalg.pinv(gamma),upsilon)\n", "\n", "xhat = np.dot(A, d)\n", "\n", "t = sim.trange()\n", "figure(figsize=(12, 6))\n", "ax = gca()\n", "plot(t, sim.data[stim_p],'b')\n", "plot(t, xhat,'g')\n", "ylabel(\"Output\")\n", "xlabel(\"Time\");\n", "rasterplot(t, sim.data[spikes_p], ax=ax.twinx(), use_eventplot=True, color='k')\n", "ylabel(\"Neuron\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What's happening here?\n", "- At a given instant in time $t$, only a very small number of neurons are firing\n", " - If no neurons are firing at that instant, $\\hat{x}=0$\n", " - There are usually only one or two neurons firing at any given time\n", " - As $dt$ gets smaller, the problem gets even worse\n", "- What can we do? " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Temporal filtering\n", "\n", "- We want a spike to contribute to other points in time\n", "- So we want to convert a train of spikes into some continuous function\n", "- Convolution:\n", " - $\\hat{x}(t)=\\sum_i{a_i(t) * h(t) d_i}$\n", " \n", "- What should we use for $h(t)$?\n", " - Maybe a gaussian?\n", " - $h(t) = e^{-t^2 / {2\\sigma^2}}$" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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"text": [ "//anaconda/envs/python3/lib/python3.6/site-packages/matplotlib/cbook.py:632: IgnoredKeywordWarning: \"color\" keyword argument will be ignored\n", " IgnoredKeywordWarning)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import nengo\n", "from nengo.utils.matplotlib import rasterplot\n", "\n", "model = nengo.Network(label='Decoding Neurons')\n", "\n", "with model:\n", " stim = nengo.Node(lambda t: np.sin(10*t))\n", " ens = nengo.Ensemble(2, dimensions=1,\n", " encoders = [[1],[-1]],\n", " intercepts = [-.5, -.5],\n", " max_rates = [100, 100])\n", " temp = nengo.Ensemble(50, dimensions=1)\n", " \n", " nengo.Connection(stim, ens)\n", " connection = nengo.Connection(ens, temp) #This is just to generate the decoders\n", " \n", " stim_p = nengo.Probe(stim)\n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(.6)\n", "\n", "t = sim.trange()\n", "x = sim.data[stim_p]\n", "d = sim.data[connection].weights.T\n", "\n", "fspikes1 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "\n", "A = np.array([fspikes1, fspikes2]).T\n", "\n", "xhat = np.dot(A, d)\n", "\n", "figure(figsize=(8, 4))\n", "ax = gca()\n", "plot(t, sim.data[stim_p],'g')\n", "ylabel(\"Output\")\n", "xlabel(\"Time\");\n", "rasterplot(t, sim.data[spikes_p], ax=ax.twinx(), use_eventplot=True, color='k')\n", "ylabel(\"Neuron\")\n", "\n", "figure(figsize=(8,4))\n", "plot(t, x, label='x')\n", "plot(t, fspikes1*d[0])\n", "plot(t, fspikes2*d[1])\n", "ylabel('$x$')\n", "xlabel('time (s)')\n", "\n", "figure(figsize=(8,4))\n", "plot(t, x, label='x')\n", "plot(t, xhat, label='x')\n", "ylabel('$x$')\n", "xlabel('time (s)');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Better, but how can we improve this?\n", " - Different shapes for $h(t)$?\n", " - Different $\\sigma$?\n", "- Is there a general solution?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Optimal filters\n", "\n", "- Let's try to find the optimal filter for a particular special case\n", " - Two neurons\n", " - Same $\\alpha$ and $J^{bias}$ but different $e$ (-1 and +1)\n", "\n", "$$\\hat{x}(t)=\\sum_i^N{a_i(t) * h(t) d_i}$$\n", "\n", "- Since there are two neurons and they are opposites of each other, we can assume that $d_1=-d_2$ (i.e. they both contribute equally, but oppositely)\n", "\n", " - $\\hat{x}(t)= \\sum_i{a_i(t) * h(t) d_i} $ \n", " - $\\hat{x}(t)= a_1(t)*h(t)d_1 + a_2(t)*h(t)d_2$\n", " - $\\hat{x}(t) = (a_1(t)-a_2(t))*h(t) d_1$\n", " - $\\hat{x}(t) = (a_1(t)-a_2(t))*h(t)$ (since we can roll the constant into $h(t)$\n", " \n", "- Let's call $a_1(t)-a_2(t)=r(t)$, for *response*\n", "- In this case, it's a difference of spike trains\n", "\n", "$\\hat{x}(t)=r(t) * h(t)$\n", "\n", "\n", "\n", " \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Random inputs\n", "\n", "- Can't just optimize for decoding a sine wave\n", " - Needs to work for any random input\n", "\n", "- What do we mean by a random input?" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(0, 0.5)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "x = np.random.uniform(-1,1,500)\n", "plot(np.arange(500)*0.001, x);\n", "xlim(0,.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Maybe that's a bit too random\n", "- Many signals don't change that quickly\n", " - How do we get a random signal that doesn't change so quickly?\n", " - I.e. a signal with a limit on its maximum frequency?" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from nengo.processes import WhiteSignal\n", "\n", "dt = 0.001\n", "max_freq = 10\n", "\n", "model = nengo.Network('White Noise')\n", "with model:\n", " sig = nengo.Node(output=WhiteSignal(period=1, high=max_freq, rms=0.5))\n", " \n", " sig_p = nengo.Probe(sig)\n", "\n", "sim = nengo.Simulator(model)\n", "sim.run(1.0)\n", "\n", "t = sim.trange()\n", "x = sim.data[sig_p]\n", "\n", "figure(figsize=(8, 4))\n", "ax = gca()\n", "plot(t, sim.data[sig_p])\n", "ylabel(\"Output\")\n", "xlabel(\"Time\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What is this doing?\n", "- Generate random Fourier coefficients and convert back to time domain\n", " - Randomly generate coefficients from a Gaussian distribution\n", " - For $\\omega$ values outside of some range, set to zero" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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Onqqxe/tMFDCUYUhGI/cwzGyTmWnVj+ReuDCet3Ua6L89SPKT+YkRehjdJanzt83wwLHqSGN84GiVnZsqy1Z6Q7qSVDIj6rcGpNZocXKx0X4dlGFIVkMDhpkVzOxXzeyfzOwR4F7gofgM7nea2SWrP0yR0YUL47lDAka40O7YVBmhJLX0ACWAi3bMcuBINdWCu+DAkSoX7pxdclvIXFI1vat1dmyKjrvvl2GEhn94HZRhSFZpMoxbgCcAVwPnuvsF7j4H/AfgNuAdZvafV3GMIpkkS1IwIMOIL7TnnjXNifn6wBXT0GmmJ49oBbho5ywnFxqpG+cA9x+tctGOroARMowUmcCJ+Trnxn9fv63Vw98dXgcFDMkqTcB4kbv/D3e/093b/9Lc/ai7f8rd/xPwidUbokg24YJ77rCAEZekzt82jTucXBjchwgrsLszjAvjC/+Bo+nKUouNJg+emOfCnZuW3F4eZeHefK1dauqXYYS/O7wOtebohzyJQIqAEZ+Ch5n9tZl9ycy+aGb/08x+pvs+InkS9kzaNluhUios2U8pqRoyjPjCm5x51EujHTC6M4zown/gyOlU4zt4bB53lmcY7ZJUih5Gtc5520KG0TvQtQNG/PfVG9qtVrIZZbfae4DPAmXgUuDvzewD7v7eVRmZyAqF0stUqcDOTZUlO7YmhbUQ4RP4sMZ36I2UC70zjPuPpMswwv0u6u5hxIFoWHO60WxxcqHBzk1TlAo2PMOIA8aimt6SUeqA4e4fSHz7OTN7L/ANQAFDcikEjEqpwPbZSt/V3u0extYZYPjivdCMXrZwr1Lk7C1TqUtSIRPpbnpXUk6rfSwunW2bLcdrQIb0MLaohyErM/J5GGb2JuCJwBZAK7slt8In9EqpwM7Nlb471oaAcV67JDUsYESP293DgChbSJthHDhaZbZSZG7z1JLb2+swhkyrDZnQttky05X+q8yPnq5FQSWeuquAIVll2Uvqc0TlqQuAvxjvcETGp51hFOMMY0jTO5Rshi3eq7d6ZxgAF+7YxIGj6XoY9x+pcuGO2WXblYRt0+tDMoywU+22mQoz5WLfdRhHqzV2zFbau+sqYEhWqQOGmd1gZk9x9/vd/UPAK4A/X72hiaxMuDCWiwV2bOqfYSzUl/Ywhpek4gyj0DvDePixxVQHKR04Wm33PZLKKUtSIRPa2i5J9QkYp2rs2FShWDCKBdMsKclslAzj74FPmNldZnYdcAOgjyqSW8mS1I5NFU4uNHqubZivNykWjNlKkdlKcWjTO3zy754lBZ0G9v1D+hitlkdrMHYuDxid8zCGlKTiwLZ1ZnBJ6li1xvZ4cV+lWFCGIZmlDhjuvs/dLwNeD3yFaMbUi1drYCIrlZwlFS6YvcpS1VqT2XIRM2PbTHl4D6PVyVy6tddiDOljPHxygVqjtWwNBiTPw0hbkiozUy70zTCOnK6xMwSMUmHo44r0k2Z7c/PEXgfufidw56D7jMrMtgEfBJ5KtPPtbxBtQfIJYA/wY+BX3P1Y1ueQM8+Spnd8wTxarXF2XHoKFupNpuOG8NbZSupZUqVCrwwj3VqMEFC612BA8jyMwZlAuyQ1U2a2UuLwycVl93F3jp1OZBilgs70lsxSbQ1iZr/TfS6GmVXM7AVmdj1w5QrH8dfAF9z9p4CnEzXV3wbc7O6XADfH34uk1t30BnquxZivNdvbi2+bKXNiyMK9UNbqlWFsny2zZao0tCTVbw0GJLYGGbLS+8R8nS1TJUrFQt+zOB5baNBoeSfDUElKViBNwLgcaAIfM7MHzey7ZvYj4AfA64B3u/t1WQdgZmcBzwU+BODuNXc/DlxBdBYH8f9flfU55MyUXIexc3N0wezV+J6vJwLGbHl4htFnpTdEJ+9duHN2aEnqwNHTFAvG+dtmlv2snHKl94lqna2z0Xbt032a3mENRtigcKpU0G61klma8zAWgPcD7zezMrALmI8v6uPweOAw8GEzezpwO/AW4Bx3PxSP4ZCZnd3rl83sKuAqgAsvTHs4oJwJkrOkQobRa/HefL3VKUnNlFM0vfvPkoIoa7jn0MmBj3HgSJXd22Z6Zilpj2g9Pl9n60wUMGYqhZ4zs0LACCWpcrFAraFZUpJNmu3NrzezCkR7Rrn7oTEGC4iC1jOBv3X3ZwCnGaH85O7XuPted987Nzc3xmHJetcpHRnb40/iR3qUpBZqTWbK0Vth62zU9B7Ukuu30ju4cMcmDh6rtjcp7KXfDKnocdMd0Xq8Gi3Ig/7Hw4aAkWx6qyQlWaUpST0A/JuZ7UneaGaXmdm1YxjDQeCgu38t/v6TRAHkYTM7L36u84BHxvBccgZZbLaolAqYGaViga0z5T4ZRrKHUaHWaLFQ739RDbOkeq30hijDqDedB4/P932MA0d6r8GATjM9TYaxbSYKBCFgdAe6MCssZFgVlaRkBdLsVvvfgLcDXzazl5nZq8zsq8CHga+udADu/hDwgJk9Ob7phcB3gX10mulXAjeu9LnkzFJrtJhKXNR39lm8V6012kekhk/sg3asrQ+YJQWdmU/9Gt8nqnVOzNf7ZhjFQrpZUo/NJ3oYlSLuLJsBFf7e0MOpFAvarVYyS7uX1K3AF4DPEH3S/xV3v3WM4/gd4KNx6euHwBuIgtkNZvZG4H7gNWN8PjkD1BpRhhFs39R7e5CFeovpxCwpiLcN37q8IQ3JklTvz1thM8EDR6o854nLfx62Drlwx/I1GBA1zstFGzhLyt05Xq23xxsypPlas/23QNSzmSoV2j+vlAqpTxUU6ZZmHcb7gJcDHwOeQpRt/K6Z7Xf30Q4w7sPdvw3s7fGjF47j8eXM1B0wdmyq8ECPT/3z9SYzlbiHEV+ABzW+OyWp3hnGeVtnKBet755SBwZMqQ1KhcLADON0rUmj5e3xzsZN+/l6k+2J+x05FS3aC/tVqYchK5Gmh3EX8FPu/jZ3v9fdfxX4N+A2M3vS6g5PJLtasytgzFZ6nrqXXIcRSjyDptaGklT3eRhBsWA8bkf/XWtDqWpgwCjawBXZ7VXeiWm1sPzUveS2IBAChmZJSTZpptV+oMdt/8vMvkW0c22PpFtk8mqN1pKy0Y7N0ZkY7t7+xO3uXeswoovroMV7ne3Ne2cYEPUx+q3FOHDkNHNbptp9k17KxcLAvaSOt/eR6jS9gWVrMY6crrXXYEC8cE9Nb8koTUmq3+KG+4A3JH5+3N11PobkRr3Zah9GBFGGUW86JxcbnDUdfTIPTeKwDiPZw+j7uAMW7gUX7dzEN37ceyebA0eqPbcESSoVbOAsqeRZGED7rIvutRjHTtfYk8hktNJbViJN0/t6ov2der07wu0OXAd8ZGwjE1mhxR49DIi2BwkBI3wiD5/QZytFykUb2Bhu9DmiNWnX5gqnFqPdcbub48erdfbsGhwwysXBmwQuCxh9SlJHuzMM9TBkBdKUpJ6/FgMRGbdeTW+INiDcQzRDqRpfYEPT2MzYOlMZ3PQesL15kOwpdAeM+XpzYDkqPHaaklRYhxGer5ooSdUaLU4tNtgxuzRgaLdaySrLiXsi60Kt2WIqETDaaywSi/dChpGcirp1ptQ+a6KX+oDtzYN2iajH/k7z9aVTX3spFwsDS1JhnUhna5DlJal2Y1wZhoyJAoZsWLXG0h5GWO2c7E+EC+xM4gK+bbYyeOFeY/A6DOhkLNVeAaPWbP+8n1LBBjanT1TrVEoFpuMtTXo1vUNZLWyLAp2m9wpOI5AzmAKGbFjds6RChnEsETBCzX8mcQHfNjN4x9pGq4VZZ0V2L/16Ct2zsvqJMozBJaltM+X2bK/kOowgLFIMZSugXaLTTCnJQgFDNqx61zqMs6bLmPUuSSUv4FuHbHFeb/rAhjf0XxdRbzrNli8JUL1EPYzBTe9ticyh1/OFwLitK8MAVJaSTBQwZMPqbnoXCsbWruwhXGCTPYVtMxUeGzJLalDDGzoBqLuH0ev5eikXCj3PHw+Oz9eWZA5TpQJmS58vrCVZEjBKChiSnQKGbFjdK70h6mMkd6xd6FGS2jpT5mQ8JbaXRsv7bjwYzPQoES15viEBo1QcvA7jeLXOWTOdQGBmy7Y4DxnG9lmVpGQ8FDBkw1rsanpD9Gk7OWW2V0kqfCLvl2X0WlvRrV8Po/18lcG/XyoWBm4+2F2SCs85v2SWVJ1KsbCkwR5eD+1YK1koYMiGVWssnVYLUUM7mWGEWUzJi2pni/PeAaPR9KElqek+W3XMp8wwygVL1fTufs7krKzj1RpbZzuNcUhmGNpPSkangCEbkrtT65EJbJ+tcOz04B7G1pnl6zWS6q1W3+NZg35bdaTtYQwqSS02mszXm8szjEpxyfMdq9aWTKmFzlTg7nMzRNJQwJANqdFy3FnWw9jaVZJaqDcxY0kmcvGuaBX4t+7vfRJxo+l9j2cN+pWkFnqUwHqJSlK9L+phXHt2LT1PY6ZcXLoOo1pf0hiHzt+pprdkoYAhG1JoWPdqep9abLQvmGFr82TZ5qKdm3jq7rP4zB0P9nzsRqvV93jWoFOSWnph7rXuo5fygM0H993xIDPlIi/4qbOX3D5TWd7D6M5CNEtKVkIBQzakcEHsbnqHEk3IMvotonvl08/njoMn+PGjyw9BqjeHz5IqFoxKqUC13lhye9oeRqnPwr16s8Xn7zrEiy49Z9l+VFHTu/M7x+drS2ZIgWZJycooYMiG1A4Yy0pSYXuQqD/Rb1+nl112PgCfvXN5ltFIMUsKokb6snUYtZQZRp8jWv/lvkc5Vq3zisvOW/azmXLn+dydY70yjDBLSgFDMlDAkA1psU/A2N61PchCvdnz4r172ww/u2c7+3qUpRqt4bOkYPk0Vxghw+hzROtn7niQs6ZL/OKT55Y/X6IkNV9vUmu02gdCBSpJyUooYMiGFEou3dNqt3dlGNUBGwG+4unn8/2HT3HvQyeX3F5vtoZuDQLLS0SQPsPoNUtqod7kS3c/zOVPPZep0vLfT06rPV5dvvEgdAKGZklJFgoYsiGFT9DdpaOtXSfqzdf6bzX+0qedR8Fg3x0/WXJ7mnUYEF3A+63DmO5xwU8q95gl9dV7H+HUYoNXPP38nr8zU+5Mqz1WXb4tCGgvKVkZBQzZkNqzpLqb3vHZEOGCujBg59hdm6d4zhN38Zk7Di3ZDrze8qGzpGD5ugiIAsZUqUBhSNO81xGt++54kF2bK/z843f2eb4C8/Um7t45YElNbxmj3AQMMyua2bfM7LPx9xeb2dfM7Adm9gkzqwx7DJGgX9N7U6VIqdA5gnXYVuOvePr53H+0yh0HT7RvazRblIdc8KF3D2Oh1rtn0q1ULMRrSaKgcWqxwc33PMJLn3Ze32A1Uy7SbDn1ZjJgKMOQ8clNwADeAtyT+P4vgXe7+yXAMeCNExmVrEv9AoaZRQckJWZJDbqAv/inz6VSLPD5uw61b1tpSWpYwxtoB6Swxfkt33uExUarbzkqPF94jpBB9Z1Wq4AhGeQiYJjZBcDLgA/G3xvwAuCT8V2uB141mdHJerTYZ+EeRI3gTg+jNXCbjq0zZfbsmuXAkWr7tnqKhXvQryTVShUwwuOHstSBI9F6kMsu2Nr3d8K6jIV6s73OZOtM76a3ptVKFrkIGMB7gD8Cwr/incBxdw+rng4CuycxMFmf+i3cg6hMk6aHEezaPMXhU4vt7xtNT1mSKvTcrXbYPlJAe+uR0Pg+fHKRs6ZLPWdHtZ8v3gF3vtbk2OkaM+XisucqFQwzZRiSzcQDhpm9HHjE3W9P3tzjrj33STCzq8xsv5ntP3z48KqMUdaffiUpiM/srtZxd6q1xtDztee2THH4ZDJgpFu4N9O1eyz0X/fRrdyVYRw+tcjclqmhzwfRVOFj1fqyKbUQleTKxUI7AxMZxcQDBvAc4JVm9mPg40SlqPcA28ws7H1wAdBzYx93v8bd97r73rm55YuZ5Mw0MMOIT92rNVu0fPiaiF2bp3g0kWGknSU1Xem9cC9dSSruYcQX9kdP1ti1eXDASPYwTszX2qsRCy/BAAARvklEQVTau00VC8owJJOJBwx3v9rdL3D3PcBrga+4++uBW4BXx3e7ErhxQkOUdajf5oMQTa09Vq2xEG8MOKxENLdlimqtyenFqEIaZRjDS1Kz5RK1RotmYouP+ZSzpMLCwLA9yCgZxkK9f4YB0WuigCFZTDxgDPBW4PfN7D6insaHJjweWUdqAwLGttkyi41Wu48x7BP/XPzJPmQZ0eaDaZre0X2Sje80PRPoZBj1RsgwUgSMcCxsrcnx6vKNBwMFDMmqNPwua8fdvwp8Nf76h8CzJjkeWb8G9jDiMyIePDEPDD8udVd8oT58cpGLdm6Kj2hNtw4DohLRpqnorVatpQ0YcQ+j1WK+1uTkYmNoSSr5fMerdbYOyjDUw5AM8pxhiGS2OKCHEUo1h44vAOkzjND4Trv5YK9jWoet+wjCLKx609uZzbAMI/l8x+cHlKSKBU2rlUwUMGRDGjytNsowHnosChhpehgQlaTcnWYrbUlq+TGt/bZT75Zch3E4ZcAIs70On1qk2XKVpGTsFDBkQ6o1W5QK1nPPprBdxoPH45LUkAv4jk0VChZlGPV4muuoJSmAZsupNdIu3OuswwiZzdywklQcMMLf1b1oLygXC9qtVjJRwJANqd5o9exfQGe7jEMnogyj++S6bsWCsWNTtHivES+kS7XSu6skFTKNYT0T6MySajS9EzCGlaTiRX3h71KGIeOmgCEbUq3ZP2AsyzBSXMB3ba5w+GStnWEMO6IVonUYwJJDjWB4RgNL12GEHsaOTYP33ywUjKlSof13dW88GEyp6S0ZKWDIhlRrtHr2LyDqWUyXC+1P4ml6CnNb4gyj2fucjV66M4zw/9G2BokyjB2bKumes1Js/13dW5sHFS3ck4wUMGRDqg0oSUFUrgkb9KX5xD+3ZYpHTy62d49Ne0QrdDKLTkkqRYbRLklFPYxh/Yvkc4a/Swv3ZNwUMGRDWhxQkoKlDeE0F/C5eAPCMB011RGtYyhJhWm1u7akOw4m+dj9mt6VkqbVSjYKGLIhDSpJwdKG8LDjUiHKMGqNFkdPR6vDU2UYld4lqZE2H2y1om1BUmYYody1ZbrUtzFfVklKMlLAkA2pPiTDCA3hNMelQmeGUugPjDJLaiFLhhEOUIpnSQ2bIRWEtRj9Gt6gld6SnQKGbEjDMozQEB62tXkQtuU4FM9ASnMeRrlYoFSwTD2MkGEcr9ZYqLeGbgsShMfuN6UWoqa31mFIFgoYsiENb3pHn8DTfNqHbBlGePz5eFfccDbGKD2M8HxpM4xQkuo3QwriabUKGJKBAoZsSIPWYUCnZDM9aobRDhjDM4zw+Jma3nFTPTxf6gwjBIw+DW/olKTce55JJtKXAoZsSGlLUmkzjG0zZUoF49CJUJJKn2G0exhhHUaqklTIMKLnS5thhL+n35RaiEpS7rSnCIukpYAhG1KadRiQPmAUCsauzVMjZxhRSaqrhzHC5oOjlqRmKsNLUuF10dRaGZUChmxIi0MzjLiHkbIkBbBrS4WH4x1u06y6hiibqCZKUqWCpfrdkGE8/NgCBRvcxF7yfOXhs6TC86uPIaNSwJANadi02lCySbNNRzC3eWqk3WoBZsoFFtrrMNLtVAuJI1qbzs7NUxRTzMqKni/FLKmSAoZko4AhG9KwpvfWmdGm1cLSslCa8zAgLkklMoy0TfZCwQgxIu2iPej8Pf1O24NOwNDUWhmVAoZsSMOb3qNNq4WlM5VSZxiJWVJpz/MOQh9jV8r+BXQa6oMyjKmQYaiHISNSwJANaVjTu1wscO5Z06mnq0JXhpF6HUZpydYgo2Q0YXHgKBnG3OYpCgbnnjXd9z4V9TAko8Enx4isQ62W02j5wIAB8Knf+oWB6xW6LS1Jpc0wCku2BhmlZxIFpWbqGVIAv3TpOdz0+7/IuVsHBAzNkpKMFDBkw6mlPLNi97aZkR53aUkqWw9jlJJUKHvt2pxuhhREpwM+YW7zkMdVhiHZTLwkZWaPM7NbzOweM7vbzN4S377DzG4ysx/E/98+6bHK+hACxtSQDGNUS0tSI6zDqDdxd+ZrzZGm8YbG+igZRhqaJSVZTTxgAA3gD9z9KcCzgTeb2aXA24Cb3f0S4Ob4e5GhwoVwWElqVEsyjJSzpKYrRdyjGUmjZhghKI3Sw0ijPUtKJSkZ0cQDhrsfcvdvxl+fBO4BdgNXANfHd7seeNVkRijrTTtgpCwbpXXWdKl9sR0lw4BohtR8bbQeRigdjT3DUElKMpp4wEgysz3AM4CvAee4+yGIggpw9uRGJuvJamUYZtb+tD9qwKjWmtG02kr6MYXG+rgDxpRKUpJRbgKGmW0GPgX8nrs/NsLvXWVm+81s/+HDh1dvgLJuhB7GuAMGdNZEpN58MHFM6+glqQLlovU9ajUr9TAkq1wEDDMrEwWLj7r7p+ObHzaz8+Kfnwc80ut33f0ad9/r7nvn5ubWZsCSa6tVkoLOOoc0p/RBZ+uR+droAaNcjDY8NEv3XGlpWq1kNfGAYdG74UPAPe7+rsSP9gFXxl9fCdy41mOT9SlseVFehQxjbstU6kV70ClJnZiv457+/A2ISlLjLkdBYlqtAoaMKA/rMJ4D/Bpwl5l9O77tj4F3ADeY2RuB+4HXTGh8ss6ET85Tq5BhvOSp5zJdHiFgxAHi6Ola9P0IGcYVP7OblInMSFSSkqwmHjDc/V+Afm+LF67lWGRjWK2mN8BznzTHc5+UvvQZAsSxahQwRtka5Mpf2DPS2NIKpTptPiijmnhJSmTcVjNgjKo7wxhlWu1q0bRayWry7yiRMVvNWVKjamcYGUpSq6VQMMpFUw9DRjb5d5TImK3mLKlRhQBxtFqPvh+hJLWaKsWCMgwZ2eTfUSJjFi6EaTcIXE2dktRi9H0OMgyIZpBpWq2MavLvKJExW63NB7MIYzhyKj89DFCGIdlM/h0lMmZ5anqbGTPlYnuWVG5KUiUFDBnd5N9RImOWp6Y3REHi2Om4h5GXDKNU0G61MrJ8vKNExihPTW+IgkQIYrkJGCpJSQb5eEeJjFGt0aJg6c/dXm3JleF5KUlNqSQlGeTjHSUyRrVmKzflKOgECbN8NOJBPQzJJh//ekXGqNZo5WJKbTBbjnbgmSkXx77zbFbloqbVyujy864SGZNas5WbT/LQ2aE2L/0LiDMMBQwZUX7eVSJjUmu0ctPwBpiJexh5WYMBanpLNvl5V4mMSa2Rsx5GHCjy0vAG9TAkm/y8q0TGJHcBI6clKW1vLqPKz7tKZEzyNksqlKLyFDCm1MOQDPLzrhIZk7zNkgqBYpTjWVdbWT0MySA/7yqRMak189b0DhlGfsZU0bRaySA//4JFxkQ9jOHU9JYs8vOuEhmTWiNn6zByOkuq0XJaLZ/0UGQdyc+7SmRM8tb0bvcwcpZhAGp8y0jy864SGZO8LdybjTOL2TxlGPHro6m1Mor8vKv6MLPLzexeM7vPzN426fFI/uWth5HHrUFCyU59DBlFft5VPZhZEXgf8BLgUuB1ZnbpZEcleVdr5nRabY4CRnh9NFNKRpGfd1VvzwLuc/cfunsN+DhwxYTHJDlXz1mGkdetQUAZhoymNOkBDLEbeCDx/UHg5/rd+fsPn+SX3vXPqz4oybeTi418BYw4UEyX8hcwrvzw13PV75F8y3vA6HV4wJJ5gGZ2FXAVwFnnP55Lztm8FuOSHHvSuVt4+dPOn/Qw2p4wt5nffN4TeN6T5yY9lLafu3gn//EZu1loNCc9FMmBL6e8n7nndx62mf088Kfu/uL4+6sB3P0vet1/7969vn///jUcoYjI+mdmt7v73mH3y3su+g3gEjO72MwqwGuBfRMek4jIGSnXJSl3b5jZbwNfBIrAte5+94SHJSJyRsp1wABw988Bn5v0OEREznR5L0mJiEhOKGCIiEgqChgiIpKKAoaIiKSigCEiIqnkeuHeqMzsMHBg0uMAdgGPTnoQOaHXokOvRYdei448vBYXufvQrQg2VMDICzPbn2bV5JlAr0WHXosOvRYd6+m1UElKRERSUcAQEZFUFDBWxzWTHkCO6LXo0GvRodeiY928FuphiIhIKsowREQkFQWMMTOzPzQzN7Nd8fdmZn9jZveZ2Z1m9sxJj3G1mdk7zex78d/7j2a2LfGzq+PX4l4ze/Ekx7lWzOzy+O+9z8zeNunxrCUze5yZ3WJm95jZ3Wb2lvj2HWZ2k5n9IP7/9kmPda2YWdHMvmVmn42/v9jMvha/Fp+Ij3LIJQWMMTKzxwG/BNyfuPklwCXxf1cBfzuBoa21m4CnuvtlwPeBqwHM7FKiM01+GrgceL+Z5efc0lUQ/33vI/p3cCnwuvh1OFM0gD9w96cAzwbeHP/9bwNudvdLgJvj788UbwHuSXz/l8C749fiGPDGiYwqBQWM8Xo38EcsPUb2CuAjHrkN2GZm501kdGvE3b/k7o3429uAC+KvrwA+7u6L7v4j4D7gWZMY4xp6FnCfu//Q3WvAx4lehzOCux9y92/GX58kulDuJnoNro/vdj3wqsmMcG2Z2QXAy4APxt8b8ALgk/Fdcv1aKGCMiZm9EviJu9/R9aPdwAOJ7w/Gt50pfgP4fPz1mfhanIl/c09mtgd4BvA14Bx3PwRRUAHOntzI1tR7iD5UtuLvdwLHEx+wcv3vI/cHKOWJmX0ZOLfHj/4E+GPgl3v9Wo/b1v3UtEGvhbvfGN/nT4hKEh8Nv9bj/uv+tRjiTPyblzGzzcCngN9z98eiD9ZnFjN7OfCIu99uZs8LN/e4a27/fShgjMDdX9TrdjN7GnAxcEf8RrgA+KaZPYvoE8PjEne/AHhwlYe66vq9FoGZXQm8HHihd+Zub8jXYogz8W9ewszKRMHio+7+6fjmh83sPHc/FJdoH5ncCNfMc4BXmtlLgWngLKKMY5uZleIsI9f/PlSSGgN3v8vdz3b3Pe6+h+gi8Ux3fwjYB/x6PFvq2cCJkIpvVGZ2OfBW4JXuXk38aB/wWjObMrOLiSYCfH0SY1xD3wAuiWfCVIia/vsmPKY1E9foPwTc4+7vSvxoH3Bl/PWVwI1rPba15u5Xu/sF8TXitcBX3P31wC3Aq+O75fq1UIax+j4HvJSowVsF3jDZ4ayJ9wJTwE1xxnWbu7/J3e82sxuA7xKVqt7s7s0JjnPVuXvDzH4b+CJQBK5197snPKy19Bzg14C7zOzb8W1/DLwDuMHM3kg0q/A1ExpfHrwV+LiZ/RnwLaIAm0ta6S0iIqmoJCUiIqkoYIiISCoKGCIikooChoiIpKKAISIiqShgiPRgZr8b77D60eH3zvT47zGz58Zff9XM9iZ+tsfMvjPgd+fM7AurMS6RQRQwRHr7LeCl8cKqNjNb8dolM9sBPNvdb83y++5+GDhkZs9Z6VhERqGFeyJdzOwDwOOBfWZ2LbAVOB/YAzxqZr9GtPDseUQLFN/n7n8Xr2r+30S7j/6IaJ+ga939k11P8WogVYZgZh8EQvaxG3ivu/934P8Crwf+NeOfKTIyBQyRLu7+pnh7k+e7+6Nm9qfAvwP+vbvPm9lVRFu8/KyZTQH/amZfItqJ9cnA04BziFa0X9vjKZ5DZzvr4KNmNh9/XSHezdTd/wuAmV1EtFr8uvg++4E/G8ffK5KWAoZIOvvcPVzQfxm4zMzC/j9bifbFei7wsXi7kwfN7Ct9Hus84HDXba939/3Q3gb8s+EHZjYN/APw2+5+IL75EaKsR2TNKGCIpHM68bUBv+PuX0zeId6FNM1eO/NEu5Wm9QHg0+7+5cRt0/HjiKwZNb1FRvdF4DfjbbsxsyeZ2SbgVqLdeIvxlt3P7/P79wBPTPNEZvZmYIu7v6PrR08C+s6kElkNChgio/sgUX/im/H0178jytb/EfgBcBfR2e3/3Of3/4moYZ7GHwJPM7Nvx/+9Kb79+fHjiKwZ7VYrskrM7Drgsz1mSWFm/wK83N2PZ3zsW4Er3P3YykYpkp4yDJHJ+APgwiy/aGZzwLsULGStKcMQEZFUlGGIiEgqChgiIpKKAoaIiKSigCEiIqkoYIiISCoKGCIiksr/B+3+95txsMVUAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "T=1.0\n", "dt=0.001\n", "signal = sim.data[sig_p][:,0]\n", "\n", "sig_freqs = np.fft.fftshift(np.fft.fft(signal))\n", "\n", "t = np.arange(int(T/dt))*dt\n", "freq = np.arange(int(T/dt))/T - (T/dt)/2\n", "\n", "figure()\n", "plot(freq, np.abs(sig_freqs))\n", "xlim(-500, 500)\n", "xlabel('freq (Hz)')\n", "ylabel('$|X(\\omega)|$')\n", "\n", "figure()\n", "plot(freq, np.abs(sig_freqs))\n", "xlim(-50, 50)\n", "xlabel('freq (Hz)')\n", "ylabel('$|X(\\omega)|$')\n", "\n", "figure()\n", "plot(t, signal)\n", "xlabel('time (s)')\n", "ylabel('$x(t)$');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Things to remember\n", " - $X(\\omega)$ values are *complex numbers*\n", " - When we plot $X(\\omega)$ we actually plot $|X(\\omega)|$\n", " - Since $x(t)$ should be real (i.e. no imaginary component), we expect $X(\\omega)$ to be constrained\n", " - This constraint is that $X(\\omega)=X(-\\omega)^*$\n", " - (i.e., the complex conjugate: the real parts are equal, and the imaginary parts switch sign)\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Finding an optimal filter\n", "\n", "- $\\hat{x}(t)=r(t) * h(t)$\n", " - $r(t)$ is the response of the two neurons combined together\n", " - $r(t)=a_1(t)-a_2(t)$\n", " - $h(t)$ is the filter we are trying to find\n", "- How do we find $h(t)$?\n", " - Convolution is annoying; let's get rid of it\n", " - One nice thing about convolution is that it turns into multiplication when you do a Fourier transform\n", " \n", "$\\hat{X}(\\omega) = R(\\omega)H(\\omega)$\n", "\n", "- We want to find $H(\\omega)$ that minimizes the error\n", " - $E = (X(\\omega)-\\hat{X}(\\omega))^2$ (added up over all time/frequency)\n", " - $E = (X(\\omega)-R(\\omega)H(\\omega))^2$ (added up over all time/frequency)\n", " \n", "- But, we know that our signal $x(t)$ can be written in the frequency domain as a sum of sine waves (that's the Fourier transform)\n", " - We've already computed those for our signal $X$; that's how we made it in the first place\n", " - So, we can write our error in terms of different frequency values $\\omega$\n", " \n", " - $E(\\omega) = (X(\\omega)-R(\\omega)H(\\omega))^2$\n", " \n", " - Now we can take the derivative and set it equal to zero to do the minimization\n", " \n", " - $H(\\omega)= {{X(\\omega)R^*(\\omega)} \\over {|R(\\omega)|^2}} $\n", " - Note the complex conjugate that appears there\n", " \n", "- So now we can find $H(\\omega)$ given the Fourier transform of our signal $X(\\omega)$ and the Fourier transform of the spiking response $R(\\omega)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Notes for comparison to the textbook\n", "\n", "- Here we're using the convention that lower-case letters are for time-domain functions and upper-case letters are used for Fourier transfomr\n", " - $x(t) \\rightarrow X(\\omega)$\n", " - $r(t) \\rightarrow R(\\omega)$\n", " - $h(t) \\rightarrow H(\\omega)$\n", "- The textbook uses $A(\\omega)$ instead of $X(\\omega)$\n", " - $A$ for amplitude\n", " - This has caused confusion with $A$ as the matrix for activities of neurons, so I've switched it here\n" ] }, { "cell_type": "code", "execution_count": 141, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import nengo\n", "from nengo.processes import WhiteSignal\n", "\n", "dt = 0.001\n", "max_freq = 10\n", "T = 1.0\n", "\n", "model = nengo.Network('White Noise')\n", "with model:\n", " in_stim = nengo.Node(output=WhiteSignal(T, high=max_freq, rms=0.5))\n", " ens = nengo.Ensemble(2, dimensions=1,\n", " encoders = [[1],[-1]],\n", " intercepts = [-.3, -.3],\n", " max_rates= [100, 100])\n", " temp = nengo.Ensemble(1, dimensions=1)\n", "\n", " nengo.Connection(in_stim, ens)\n", " connection = nengo.Connection(ens, temp) #This is just to generate the decoders\n", " \n", " stim_p = nengo.Probe(in_stim)\n", " spikes_p = nengo.Probe(ens.neurons, 'spikes')\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "\n", "r = (sim.data[spikes_p][:,0]-sim.data[spikes_p][:,1])*dt\n", "\n", "signal = sim.data[stim_p][:,0]\n", "\n", "t = sim.trange()\n", "figure(figsize=(8, 6))\n", "plot(t, sim.data[stim_p],'g', linewidth=2)\n", "plot(t, r,'r')\n", "ylabel(\"Output\")\n", "xlabel(\"Time\")\n", "axis('tight');" ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "freq = np.arange(int(T/dt)) - (T/dt)/2\n", "omega = freq*2*numpy.pi\n", "\n", "X = np.fft.fftshift(np.fft.fft(signal))\n", "R = np.fft.fftshift(np.fft.fft(r))\n", "\n", "figure()\n", "plot(omega, np.abs(X))\n", "xlabel('$\\omega$')\n", "ylabel('$|X(\\omega)|$')\n", "xlim(-200,200) \n", "\n", "figure()\n", "plot(omega, np.abs(R))\n", "xlabel('$\\omega$')\n", "ylabel('$|R(\\omega)|$');\n", "#xlim(-200,200);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Now we can find our optimal filter\n", "\n", " $H(\\omega)= {{X(\\omega)R^*(\\omega)} \\over {|R(\\omega)|^2}} $" ] }, { "cell_type": "code", "execution_count": 143, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Rmag = R*R.conjugate() #=np.abs(R)**2\n", "#Rmag[(Rmag.shape[0]-1)/2 + 1] = (Rmag.shape[0]-1)/2 #set zero DC term\n", "H = X*R.conjugate() / Rmag\n", "h = np.fft.fftshift(np.fft.ifft(np.fft.ifftshift(H))).real\n", " \n", "figure()\n", "plot(omega, np.abs(Rmag))\n", "\n", "figure()\n", "plot(omega, np.abs(H))\n", "xlabel('$\\omega$')\n", "ylabel('$|H(\\omega)|$')\n", "xlim(-200,200)\n", "\n", "figure()\n", "plot(freq*dt,h)\n", "xlabel('t')\n", "ylabel('h(t)')\n", "xlim(-.5,.5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Does this new filter work?" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "RMSE: 0.015919554341239137\n" ] } ], "source": [ "fspikes1 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "\n", "A = np.array([fspikes1, fspikes2]).T\n", "\n", "xhat = np.dot(A, [1,-1]) * dt #decoders included in h\n", "\n", "figure()\n", "plot(t, signal)\n", "plot(t, xhat)\n", "show()\n", "print('RMSE:', np.average((signal-xhat)**2))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Testing how well it generalizes\n", "\n", "- If it's a good decoder, it should work for other inputs too" ] }, { "cell_type": "code", "execution_count": 145, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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R3rC9av5+G18PDdfCwf+LWQnyll01/PrMwIoYS+lkAc+lpVM+sHLiP9wKP/oA/ObTEM2shDESVegcmZxd4+/tAaMZbGUpHUsIQbnDQve0vANYrpx/cKwLC0EoS1yaW9a4HYNQ6Ll4Kufnko3Ifz/QqihKm6IoQeB/gDuzcFydVDj3S3nrX72LX58ZwGY2cmB9gj8IIeA1nwB/Pxz/HnddWUsgHOWps7mPNPKa0TboPrr87+u5tPRiL8h0oNESWyBeDsJB+N7d8rP5zOfgqb/P6HDdY5MEI9GYpw/A4a9CgW3hBrdFKC8q5NKECYRx2SL/gQ5ZxmmrSmzFYa/eDMB0X+7LPbMh/rVAfCKxW31sLm8TQpwUQjwkhKjPwvvqaAQn4OJTsPmNRBV46uwAN20qp7DAmHj/phuhdh88/2/srnFQ4bTw5JnB5T3nfOO7b4MHXgfPfn753jMSkjnv4iT+nAwGiATghX+X836XA08njLXDmz4Pu98Dh74CnvTXHNrmVvpMjUE0BIb0zInLHRaG/EE59H6Zcv6jvRcBqGhYwISvrJkoAsNoa87PJRvin+iSq8z5/hdAo6IoO4EngW8nPJAQHxZCHBVCHB0aSm8RcnwyxL88fp5XLi2/X8eK0fkChKdh0xs41+9jwBvgtZsX8HkBGSXd8KfguYThZ/fzgO1LPN/SRyCsd/ymhaLERO3pz8i7gOXA1y9TfcWpVbpkIsApoVklF9fBTR+HaBi+/0649GJah9OGtjfPtXK+7Z/SOl5F0fL7+0wMyeqshnULiH+BlWhxPfeuvzwWfLuB+NCjDuiN30FRlBFFUbSf5uvA3kQHUhTla4qi7FMUZV95eXlaJ2MwwJeebuVw28o49a0I7Qdl3rPhWg61ycEU121wL/6aTbdBxVY49WN2jj/NneHHeXEt/Z9lEy0CvfZjIAxw5OvL874pWhnz/kfkdrkqfrQJWTa3TE013wyDp+G/bk3rcBeH/LhsBZTa1cVtbbG3JL1EQrnDwshEEMVasmw5fzHezSjFFFptC+5jKt+EafRCzs8lG+L/ErBRCNEkhDAD7wJ+Hr+DECK+DusOIGcJLWdhAW6HhY7hiVy9xeqj7SDU7QezjUMXR1hXZqOmxLr4awwGuP5PZr79Y9OPefbUxRyfaJ5y4gdyW7sXNt4Krz6U8eJmUswMMUmyzFGriPEtk3nYiCpgjkq5XX9z7LlA6saCFwcn2FARV+kzc/FLUNiQBG61yzdoLlm2yN8y1c9YQeXiO73p8/Den+b8XDIWf0VRwsBHgceRov5DRVFOCyH+jxBCdS3iY0KI00KIE8DHgA9k+r6L0eS20b5WxH9yFPpfhfU3EYkqvNg+knihNxHbfkduTVZKhJ+ecyuwYHm547kET/4dNN0EV7xR/p9ODMqB6rkm1ci/sFhu0xDelImE4aVvSM8apyp2O98Ze74rdQuDi0P+WMoH4n7+1Gr8NdzqHcSUqXjZxL8kOMCUdYmLlasx1o2fQ7JS568oyqOKomxSFKVZUZRPq499UlGUn6tf/6WiKNsURdmlKMrNiqLktIWtyW2nfWSNiH/Hs4ACTTdyuncc33Q4ZuewFEYT/GUPfECmAyL+YS6NTObuXPORQ1+ROf+7vipr7Ztuko+3/zb37+3tlRU8ttKl9wWwqD42AW/uzkmj41lZhrn/92KPOSvhr/rAUADtz6Z0uLGJICMTwdni7+2VJZ4mS1qnWKY2ek0YipZF/P3TISqUYSLOFNdockRedvg2uu0M+QL41kLtevuzYHZA7V4OXZT5/qQjfwCLYyZyKhVenmsdzsVZ5ifRKJz6MWx+Y2zR1VEOlduh7be5f39vr0x5CMHZPi/PXRgmvJhVh8kihTe4DJH/mYehwC7TYPGYbVC1A3qOpXQ4zdCtuSIzH/94yhwy8vcKh/w/CefW5LCnvx+HmKagdHUUO+al+GtNIJ1rIYod65CDPIwFvNQxxnq3nYpUh0CrDTKbC8d4Xhf/5Ok5KlM8W+6Y/Xjj9dB1RN4R5BKftDL+11+3cPsXnuU933iRu//j0OJBj8Uxy08+Z7QflCXFBQnWnmr3yLRYNHlPqYuD8k5+Q7kz9qB28UsTt11G/qPK8vj7DPfINTV7eWNO3ydZ8lL8G1XxXxN5/6lRWaoGnOz2sKu+JPVjFBRC82t5K09zrLWHaDTHopUvnPuljKQ3vn72485qWXobzPHnz9vLsCjjC09d4HeurOWzb93BqZ5xPvXw6YVfY3HmPuc/3iPLXZtuSPx8zR4I+mILwklwcciP2WSg1hV3MfH1p+zmGU+R1YTJIBgJaxYPua348Q3IMs+ymkUG7ywjeSn+60rXkviPgdVF//g0g74AO+uK0zvOjX+OMzLGbcEnONO3DDnhfKDzeVnhUzjn/9yqXoBz6RGvKCi+Pp4dMFFbYuWzb93BPfsbuP+m9fzklR5O9Ywnfl3hMjQ0dTwnt43XJ35enStBz8tJH7J10M96tx2jQW0rioRkH0EGaR8hBGUOMwNhNZWU48g/OCq7qx0VjTl9n2TJS/G3mo1UFxeujXJPVfxPdEuh2VmXRuQPsO5agnXXcr/pEV5o6V16/7VOaFqmLhqunv9cofo7yOV4wKkxRHiaUz47f/i6jTPd3B++sRmHxcR/PrNAo5mzWkbMuaTrsBwoX7k98fPuTXI9oDd58Z9f6dNPOj7+cymzW+gNqmnSHNf6K94+IhjAsUgD5jKSl+IPUF9qo3tsaqVPI7dMjcl/zkpOdnswGQTbaorSPpz55o9TLUYpOPmDLJ5kntJ3XDZ21ScQf6tLbnMZ+atljuOmct6yKxb9FlsLuGd/PY++2ie7V+firMq9+Pe/ClU7wbCAvYjBCDW7k478A+EIl0YnaU5Y45+h+DvMdE+r4p/jyN80NYjP6Fr4/2WZyVvxr3NZ6RrL8wXfS2qtdMMBTnaPs6nSubCfTzKsfw1dtq28fvT7hIPL5P9yGXKqZ5wnHntYflO3f/4OWjNVDm0UgmPdAGzYsHG2bTfwjn31RKIKvziR4A7OWS3TJZEcVcJFIzBwGqp3Lr5f1Q4YPJvUom/78ARRhTlze1Ub8hSHuMzF7bDQOaWWiuYwHaYoCrbgCFPm1NxHc0nein+9y0a/d5pgOI+nVHU+D0YzSs0eTnaPs6s+zXy/hhD07PwD6sQQ/c/8V3bOMc9oHfTxzv88xFTXcboVNz84k+Du0tUk6+8HF1l4zZC2Nmn8tXvrfPf0jZVOttUU8bPjCeY0FFUDijr+MAeMXITQpBT3xajcBqEJ8HQsechzfbI6aUt13F3tuLz4UbzEEJslKLOb6Z4wqM6eubtT806FKVU8hG3p2dbkgrwV/zqXFUWBvvE8Tv10vgC1++j0KoxPhdLP98ex7pq7OBbdiOul/wehPP6/S5PPPHoOo0Fwe8UYg4Xr+eyjZ/FMzqkPN5qgfBMMnMnZefRckmWDu7dtSfj8G3dUc7J7nAHvnLGNWpokV6mf/pNyW7VE5F+xTW4Hlr5Anuv3UWAUsaHtIMXf7Ji/2J4iZQ4Lk8EoSmFJTtN0veNTlAtPzOpiFZDH4i/Lt7pG81TAAj654Lju2rjF3gwjf6C6xMY3re/HHhhcPoOyy4S2IT+/OTfIh69rwDzWSsPmfXinwzz4UoL0TsU2mdbIEf7hLryGEgoLE3s4vW6LXFR8+twcq26tLt6bo0X9/pPSZNCd2K9+horNgEjqAnmu38uGCicFxji5Gu+WUX8aPv7xaI1eYUtxTiP/Ps8EbsYpKE6/LyHb5K3415fKP4ruFcj7TwUjuR+K3nUElAg0XsfJ7nEsJgObKp1Lvy4JLM038hxXojz7+dxWrFxm/OTlHowGwT3N0xAN4W6+kqsaXTx4NIH4V26VXvs5WETs9UzhCAwRsi0cRV5R6aSmuJDfzBN/zdwtV5H/KSi/YumxkmY7lDbBwNITq871+dhSNeezrYl/hrhV8Q8WFOU08h8eGsQsIthK0y9NzTZ5K/5VRYUYDWJZK34UReFff93Czr9/nL3/8GsefTWH7omdz8s8Zd1+TnZ72FZTNDsyyoD9TS4+G3g7YtoDL3wxK8fMB548O8C+dS7KJlT304qtvGVXDW1DE7QOzmmcqlBz8TmI/l/qGKVKjFLgWnixUwjBa7dU8Fzr8Ow5DbYyOfwkV86eE4NLD5PXqNwGg4tH/p7JIP3eaa5IJP4ZLvaCLPUEmDI6cxro+Efk+oujbHX4+kAei7/JaKC6uHBZK35+dKybLzx1gVu2VLK+3MHHfvAKx7ty9IHqfAFqriRssnGqx5uVfL/G/qYyTiuNdFTfDoe/Aj59xGP/+DTn+n3cvLlCCpbBBO5NvH6rjL6fODMnktbEP4mcdqocaR+lREzicC1eL37TpgomgxFOdMU1fBkM4KjKnfhPjyefh6/YJheIgwv/jZ7rl4u9m+MXe0NTMDmc3ASzJdDSPhMGR04j/8CY/P82OPWc/7JQ71q+Wv/pUIR/+tU5rmp08eV79/CdD+2nzGHmkw+fQsm2x0toShpjrbuW1iE/U6FI5pU+cTSW2XA7LHzP9h6IBOX81TXOwRaZPnnNFeUyT122EUxmqout7Kwrnp9bL6oBsxOGW7J+LkfaRyk2TmOwLJ7m299YihBwWB3wEzu36tUh/pXbAAWGFjb5Pad2m89K+2jrFVlI+2iRvxdHTiP/sFcNDvQF3+WhzmWla3R5Iv+Hj/cwOhHkT15/BQaDoKiwgD++ZRMnu8d5vnVk6QOkQvdRKcrrruOkGtVlM/IXQrC/ycWjPTa48r1w7Nsw1pm141+OHGkfo8xu5opKp/SkccfG8B1oLuN4l4epYFx6RQgoWy8j2yzimQxyYdCPVZmSefNFKLYVsLW6aL7456rRKxqFaW+K4s+id0fn+n24bAWUO+Nsm2fKPDNPoVjNRuxmI56oXUb+KZjNpYJhUg0OVkl3L+S9+NsY9AWYDuV+qtJ/H+5kc5WTa9bHvNV/Z08t5U4LDzyX5ZmunS8AAhqu4US3B6fFRFPZ4kKQKvsbS+nxTNG3+w/kaMI1Hv2f6Pawu74EEY3IC2FZ88xz16wvIxRReHnu3OjSZhjNrvif6vFSQBijEpYOnUtwzfoyjnWOzc77O6tjIxCzSWAcUJIXf60f4unPLCi6J7vH2V5bjIiv6slSjb9GmcPCSMQq5yEHs+94qigKlulhQgZLbKbCKiDPxV9W/PR6cpv6uTQyyakeL3fvrZMfUkUBzyUs06O8c189z7QMMTi33jqjN3xB+qZYSzjZPc6OumIMhsxK3uZyVZO8iB0etsC+++D4D7IexV4ueKdDXBzyS8fU8S5p61Aac2bct86FQTAzT2GGsmY56SuLPvGv9oxjR/08m5cWkmvWlxEIR2fn/Z3VUqiz7To62i63JQ3J7W8wQCQgq6Je/dG8p6dDEc4P+Ng1965WE/8sLPiCzPsPhtWS2RykfkYmgpQqHqYt7oxLU7NJXot/fala65/jvP9jp/v4sPEXvPfUh2CoBb52E/zbDviXDfyv/r/Fofj5eaJW+3SIhGSZ57oDBMIRzvV72ZGF+v65bK4qwllo4kj7mJz1azTDwX/O+vtcDpzsGkdRYHd9ibQqBhnVqzgLC9haU8QrXQkifyUKnuylzE71jNOs/bqXSPtALO8/68KUq0avEdl1HJ8SWxLNBG+sY95Tp3vHiUSV+Tbl3m6wV6Q9wWsuZXYL/QHV3ycHi759nmnK8RC2rp6UD+S5+GuRf67z/k+f7uGvCn6AZeBl+Oq1ckHqtn+CG/4MR/vj/GHpYX6ZrbLPvpOyfb7hAGf7fIQiyvzIKAsYDYJ961y81DEqx+/t/z04+UMYOp/191rtaE10u2aJ/2xP9p118i5s1iwELTWUxTumV3vG2VuuvodmILcIxbYCNlcVcaQjXvzVRqNsL/oOX5ApwtIU/Op//5DcJij5PK7ereyaG9xkqcZfw+0w0xPQ/H1yIP7jU5SLcYRTF/9lo7KoEJNB0JPDtM9UMIKr5+nYA9EQ3Pdc8hs+AAAgAElEQVQYXPMReN3fgtnBnpIpjnd5GPZnwSzt0gtyu+5aTmaxszcR+5vKaB30M+IPwHV/JCPNZ/5vTt5rNXO8y8N6t51ia4EU/wLbvAlSu+qK8U2H6YifHa3dHWQp7z8+GeLS6CQ7S9TPc5JTrPY3unjlkifWeFiUo0avkQsy5ZNKRF5UA1veErOFiONEl4fq4sL5k+nGOpNPLSWBdPZUzzkHkf+gL0CFGMNcnJkDabbJa/E3GgTVJYX05DDt8/KlMe4SB2MPvPUBcG+IfW9302SdRFGY322ZDp2H5EKZs4oTXeOU2c3UliRu8c+U/U0ysnypYwzsZbD3A3DqJzl1q1yNnO/3sUWzyh65KCPbOblbrdrqZHdcbt1WKhc/tXRIhpzulcfeaFMvMEmK/1VNpUwGI5zp9c5+XdYj/1ZZApsqVbvkRXV69hCh412e+YFNJCzTaKncXSxBmd3CWESb5pV98Y/0n6ZU+LFUblh652Ukr8UfoLbEmtPI/8T5Vm42HCe4/3/DJ8dg59tn7+CopHiyg5oiC0+dzbBZKhqVkf+66wA5tnFn3ZxKiCyyo7YEi8nAkXbV6vaaj0jRe/E/cvJ+q5HJYJiusUlZ4jl4Fi48DpPzS3c3VjgoLDDMpIgA+X9V2py1tM+r6nSuepMqkvbk0ghXNcrF+5c61N+jpUjevWSz4icalRe5VPL9Gpr9c1zJZ69nikujk+xvmmOB7O2GaFhaQ2SJMoeZcdT1kxxE/pYR2cdgnDvuc4VZA+Jvy6m/T6jlSQpEBPPud8jqhbnseDui7wR/UnmM5y4MZ+b5M3xeesWsO4A/EKZ1yJ/V+v65mE0GrmwoiYlGcR1seysc+9aa8fxpHfSjKLCp0gHtz8gHa/fO289kNLC9pnh25A8y7z+anVLfM31eqosLsQWGpE3DUv45KpVFhTSU2mK/RyHUiV5ZFH9vD4Sn6DLU8icPHud9/3WEr/724uLD5DU0B9C41I+2QH1g/RzxX2DNJRPcDgsTFBIVptxE/hPD8gu7O+vHzoT8F3+XlUFfICe+/oFwhIlR9Q/I1Zh4p30fgoZrubP/S5iC4zN5+rToVPP9DQc43SMrULLZ2ZuI/U1lnO4dj/0RX/tRCPrhlf/O6fuuFloGpGfPpkqn7F4FeGtit9PttcWc6/POXvQtbZYLlKHMS31bBvzyPPwDKU+wuqqxlKMdY7Fu82yLvzqM/RMHp/jN+UEGvdP882PneMsXn5vvezQXZxXY3LKYQeVQ2wguWwGb53r6aOLvym7kD4KQOTfmbkIz9yvMXaCWDnkv/nUlufP1P9/vo0jxERXGhRtbDAZ40+cxhXx81PRwZt2+lw7J9vDS9TMRZi4jf5ClglEFXr6k/lFU74KGA3D0m7KfIc9pGfBhNhlYV2aXNfuOSjDbEu67ucrJRDAy21KktAlQZH9ABkSiCheH/NLgzNeXsk3A/iYXIxNBLg7FrRdkUfzPn5YjGSsat/Hsx2/msT+6kR/eL+9Q7/364cXvvoWQqZ/+EzMPHbo4wtVNZfP7V0bbwVSY8fjGeDSLh+kcmbsVBEaZNDrlnIdVRP6Lv1rumYtF35Pd45TiQ7GWLt68UbkVsftePmB6nJbzaRp9KYqM/BsOgBCc6PZQW2LF7chOrfNC7FlXgskgONIed9Hae5+sYNHSIHnM+X4fG8odGA1iyRJDzXnybH/cwmXJOrnN0B6jc2SCYDjKxgqHNNpLUfz2zc37F6mD3LNwAfdMBnnllaNMYuUz77sVZ2EBAPubSvne717DVCjC73/v5dldxnOp2gmD5yAcpG3IT49nims3JBh5ONou77ITpVjTxGUrQAiYNDizHvlHogqFoXECBbm9Q0+HvBf/WlX8u3Ow6HuqZ5xNpn4MRUn8Id78Vwhh4Kb+b832gEkWb6/MqzYcAOSFJ1clnvHYzCa21RbzUntcA9PWO2WN+dH8H/V4YcAn8/2wpPhvqnQiRGzsIAAuTfzbMzqPmfRThV1N+6QW+a9323E7zDHxd1ZDeDor8wb+7ckLVET6EWVNWC2zo9srqpx8/u27ONk9zmd+uYi9dfVOWSY9dJbHT8vCiNduTrCgPdae1Xw/yPUal82MT9izHvmPTgQpxk/IUrr0zstM/om/rx8e+hB8YRc8cAs1vU8gRG4i/0uXOtjDOcSm25beubiO/g3v5C7xDK+enl/TvCTaLXppE2MTQVnvneOUj8b+RhfHuzwxj6SCQth1L5x7BPxZKF9dpUwFI/SOT9Nc7pARsrd3Ua96u8VEQ6mN8wNxkb+jSvrXZNjle2FAXlA2OKblEB9HahOhhBDsW1c6W/wh41r/vvEpvv/iJbZZR7GWJxblW7dV8aHrm/j2oc6FK96qd8tt73EeP93P9tqimWl8M0SjauSfvXy/RpndjEexZ334zqBvmlLhS6ohb7nJP/EvLIbuI/I20tdPwY/vY5djPOvlntOhCBtHfoOBKGz7naReU/aGP0dBYDr076m/ofahtJZyfKbjdHluJfc3lRGMRGdXsuz9gCy5O/E/WXsfRVHoHpucPxN3hegclfnxRrddLvaGJmINUguwuco5O/I3GGRDUoZpn/MDPupcVuwBtXIkyRr/ePY1uuganaJ/fDpO/DOzHfnqby8SVaKURwZiKa4EfPy2K9hSXcSfP3Qysc9V6XqwuvBffIHjXR5u357gbnr8EoSn5HzkLFPmMDMatWU97TPoC1Ai/BjtCVJYK0z+iX+BFf7oVXjnf8OdXwIUdto9WY/8z/X7uN1wGL+zGSoSD9Gei9W9jmdtt7Bj8Oepm31NqhGb1cWJLg9C5H6xV2PfOhm1zMr7l2+C2n3w6g+z8h5DvgD3fv1Frv/np7nq00/yhScvZH8OQop0DKviX2aP3XktkeLbXFVE+8jE7NSea11C75pUuDDgl70GfjVyTkP89zfF5f2LMo/8p4IRfvpyD+/eVoghPL1wxRtgMRn54j27mQyG+dMfnZhdEQVyzaz+aqbbDmM0CN62J8EdljYVrTy5v7dUKHNYGA5Z5UU+i7bOQ94ApfgwF5Vn7ZjZIv/EPx61IqLJOkm3J7u1/q0XL7BfnCO67XdSc+qr3k0BYXxjKf7RTcXE/3iXh40VDhyW5akecKk+9kc65twSN1yTlQamyWCY9zzwIq90jfEXt23mtu3V/OuTLXz38MrOEOgYkZ+ZRrdNrrdAbAbuAmyucqIocGEwPu/fmFHaJxSJ0jbsZ2OlM3YRSmMoyNbqIuxmoxR/LW2UQaPXE2f68QXC3L1evdC5Fo78ATZUOPnkm7fx7IVhvvHc/DWQQM1VuKc7eMtGC1XFhfMP0K/O+63YnPY5L4TbbqY/VJh1W+cRjwebCFBYnKfiL4S4TQhxXgjRKoT4RILnLUKIB9XnXxRCNGbjfZdE7YBcbxqmzzNNZG60kQHmll9iEArOPXen9Lr6ejl67vSFFBt/el4GWxmKtYQTXdJbfjm5qsnFsY5RwvFNalaXNJkLZXZX9elfnqVl0MfX37ePj7ymmS+8czc3bHTzucfOMzqxcimgjuEJ3A6zrF7RRHKptI86bnBW6qdknYwo08wnd45MEIoocuHZl37kbzIa2LPOJTu2CwrBWppRuedDx7qpc1nZZlN/rkUif4179tdz27YqPvf4OU71zG6I+9mQtGj+2KYEqZe+k/D0P8qvk50XkAJlDgsDoezbOk94hgAocKyuBi/IgvgLIYzAl4Hbga3APUKIrXN2+xAwpijKBuBfgeXxBraVQt1+run/HqXRUQZ92fPU3zD0BJdMjYgkUz4ajQ0yOrrQnkIkGAlJW4GNt3JpbJqxyRC765d3AWl/UxkTwQhn+uIWM21qHlNLSaXB6d5xvn/kEh+8rokbNsroyGAQ/O2btzIRDPOfB1duhkD78ISs74fY6MAlSiwbSm1YTAZaBhJV/KQX/c9qNPP1SdFO085437pSzg/4GJ8KZdTo1euZ4rnWYd62pw6D55J8MAmzNSEE//S2HZTZLfzed45yTi2LPdw2wj8eLySCkfVTr85/4cWn0jrPZClzmPEq2bd4mBpX12hs+Vntsx9oVRSlTVGUIPA/wJ1z9rkT+Lb69UPA60SuDGniEQLu+iqmyDR/Zvph1vL+yngPW0OnueC+JeXXmsukEIS7jib3gkuH4R/cMnLc/OaZgfDLtdircY2aL57lC6+J/8RQ2sf97KPnKLEW8LHXzfaE2VTp5Pbt1Tx4tGvx+vAc0jEyIfP9IBdG7eVLWioYDYKNlQ7OD8xJ+0DaqZ+WAR9CIKuO/ANpRf0aVzW5UBR4uXNM5v296S34/vSVHhQFmZsf65BpqILkDAZLbGb+6wNXEY4qvOnfn+POLz/Pex54kYpSF0rtXmh/dv6LhmUHMW/+t7TOdynK7BY8ilrSm8XIP+RX/zas+Sn+tUB8+2K3+ljCfRRFCQPjwLzlbyHEh4UQR4UQR4eG0heUWbg34N1xH28zPoP3UhollgnwvvxjACY2vCX1F5c00FVyNbdNPcLI+BJt7wC//lTs6+bXcrzLQ2GBQS7+LSMVRYVsqnTw7IXh2IM1anle22/TOua5fi/PtQ7z4RubpV3yHN55VT2eyRBPnM7QEC8NJoNhBrwBGsvUckNvX9KNVZsqnLMj/wwbvS4M+FlXasNqNspIPQPxv7LeJZv2OkbTnuWrKAoPHetmf1MpDWU2eVFLIuUTz9aaIn71hzdw37WNFJoMfODaRn78kWsx1exMbIHd+TxsfrOcKpcD3Lkyd5tQ74pt+VntkyiCn5tcT2YfFEX5mqIo+xRF2Vdenr0FEsvNf8YEhTScTKPEMhGnf8qZ6DqqN+xM6+WBq+6nWoxy6fkfLL5jJAz9cbfAZhsnujzsqC3GZFz+tfrrN5RzpGM0Vu9f0iDrs8/+Iq3jfedQJxaTgXddVb/A+7mpLi7k4eNZmoKWAp0zi71xaZ8l8v0am6qcDHgDjE+qfkjWEjA70o6yzw/45GIvyJx/ijX+8VjNRrbXFnO0Y1QuXk8Mys9ZCrx8aYz24Qnu3qtW5Ix1LlrmuRBuh4W/efNWHrz/AH/z5q2U2MwyQp6aM0h9vEfeXahutrmgzGFhXEv7ZCnyVxQFMa2Jf35G/t1A/F9vHTD3Uz6zjxDCBBQD6SeKU8RWUsGPxa2sH35a+rNkwng3xcMv80jkajZVpBd9N159J21KDeWnvrF4e/3F38ja8tq98OHfMh2KcKrXy5UNK9MwcsMmN8FwNNYoBLD1Dug5Kv9AU2B8KsRPX+7hzt01uOyJUykGg+DWrZU81zqUXld0Bmhlnk3uuLRPkuKv3ZW1xFf8FBZDIPUqkmA4SsfwhFzsjUbB359R5A+y5PNE1zghW6WsbplIrVHvoWPdWAuMvHFHtVyP8nYvWemTNFYXoMyOvjufl9t112bnPRKQC1tn71SYoqi6RpanaZ+XgI1CiCYhhBl4F/DzOfv8HHi/+vXdwG+UZS7iPlhyl7zVePE/MzvQ6Z8BcMR2E8W2+amKZDCZTDxXdjd1k2cXT5kc/668XbzvMai5khNdHoLhKPsbV+aDdHVTKWajYXbqZ4u6vJNi9P/QsW6mQhHed6Bx0f1u2VrJdCjK863Di+6XbTrV0Z8NZTbpyDk5smSZp8ZG1Q7ifH+c2FucEPAu8IqFaR+eIBxV5GLv1KhsrMtQ/K9qLCUYidIeVAfUpFDuORWM8MiJPm7fUSVLjce75AUkxbTPgmgRcnxl1PlH5XpL1Y7svEcCnBYTYaOViDBmLfIf9E3jEn5CJnvS9tvLScbir+bwPwo8DpwFfqgoymkhxP8RQtyh7vYNoEwI0Qr8CTCvHDTXFJat46DpOjj8Vfj2HbJNPB1O/5RWYzO26sy6DMO73k234ib0xKcSN5VMDMP5X8HOd858cF5sH0WI2HCO5cZmNrFnXcls8XdvgIqtcHbu9X5holGF/z7Uwd51LrbXLr5wfXVTGXazkd6jD8MDt8AP7l2WSWLdY5OU2AooKixIusFLo7bEit1snLFkAFTxTz3y19YONlbE1fhnKP5a095xj7pAm0LFz0xtf3zKB9JK+ySkWE0iaDN9p73Q8oQc9WgwZuc9EiCEoMxhYSqL5m5ad2/EsvqsHSBLdf6KojyqKMomRVGaFUX5tPrYJxVF+bn69bSiKG9XFGWDoij7FUXJznSLFKh1Wfl64Bbpi9J+EH7zj6kfxNMFPUf5aXD/fJ/xFNm/oZr/F7qbgoETcDKBRcLhr8hb6n0fnHnoxfYRNlcVpX3HkQ1u2FjO2T7v7LLZLXdIx9EkfX6euTBEx8gk7zuwtGCYTQbuqerh3rZPyKqi9oPw/XdkxR9/MbrHpmYcYWPin1zkL4RgU5VzdsVPmuJ/YcCHQcD6cntscTaDnD/Ipr2NFQ6eH1Q/RymI/0PHuqktsXKNNmFL61zOVtqnfr/0vT/3qPz+2Ddl6nPP+7Jz/EUoc5jxCUdWI/9SfHIE6iokvzt846gtsXIoFDdD02xP/SDD5wE4HN4kb8MzYGt1EU+bX0O7bQf86hOz70T8Q3Dk6zKfro7FC4ajHOsc4+qmlc0d3nyFbJx7On4e8dY7AEUavSXBdw514nZYEvu3xBOchOFWPjLxFfqipYy85ym4+5syKjz2zTR/guToHpuirkSr9NFq/JMTf9AqfuKqudJM+7QM+Gl02yksMMbEP8PIH+Rc3992KSjCmLT4z9T2762L+ex7OsFggqK5BX5pYiyATbdBy6/kQnTnIWnnUHNldo6/CGV2C16yZ+426A1QInyYdPFfWaS1s6D36r+RDyRZkzwLtZlplKKYzW+aGAyCq5sr+IvI78t+hIfUCF9R4LG/kHa7N//NzP6v9owzHYquuPhvqXZS57LOLr+s2CqNuZLI+3eOTPD0+UHuvboBs2mJj9933wZf2kvZRCufDr+bF3tDsOlWWfVx6CtZ9WCJRzOYm4n8NfFPMvIHWfEzOhFk2B+QDziq0vLPbxnwxQoLZiL/1K0d5rK/sZTxQJSwrSLpnH+stj9O6Mc6ZaommymZbXdJAT73iLzbSzLdlinZNncb9AUoE36Mq7C7F9aS+JfIP+QTde+RtrwJhnAviSr+Y4qDDRWZiT/AdRvKODJejGfLPXJ4taLA8e/DqR/DjR+f5V54uE2e71UrLP5CCG7dWsWzrcNMBMLagzL10/7MklHTdw93YhSCd1+9RDeooshh9YBSYOMZ0zUz/wfsvU86PGpVIFlmZCLIdCg6W/zNDigsSvoYMxU/2qJvSYOM/FMQlulQhI6RiVig4e+X1TAFCXxvUkT7HI0Z3UlF/vG1/TNdzyBTfVmcqgXAxlulbfNvPyuHwtuXxxfH7bAwHLaiZC3tE8Al/IhVWOYJa0j8ZyZ6eaZg3QG48ETqeeOJQaIIikrKsJkzN1W7WR1WcdZXCJGAFIfOF6Qn0Q1/Omvfp88NsqO2OOeTu5Lh1m2VBMNRDrbENeJtvUNWopz/1YKvmwpGePClLt6wvYrKoiUEbOj8zJdi3we5ssHFsU71wtJ0o7rPuXR/hEXRxjDO+Mn7elMWOE2wZ/L+mvVBCqXGbUMTRBV5FyHPoz/jfL9GbYmVKyqddASdSYn/sU61tn+u22bAm9JFMSkMRnjjv8jPwLQne4vJS1BmNzMWzd5Al5FxHw4mV2WZJ6wh8S+2FuCwmOQf9u53S7uE848mfwBFgbOP0GLcSHNldqwV6lw2tlYXcXRIvWX29cua66LqWWPqRieCvHxpbOZisdLsW+ei1G7msVNx3aE1e+Tt/5mFq34ePt6DdzrM+65J4o+5/aDc3vppuOXv2FVXwvl+n2ww0wZjZHnwhoY2b7auVIv8+1JK+QCUOy2U2Apief80xF+r9JlZX/JlXuMfz63bKjk74SCaRNrn+0cu4bCYeNPOORfBgE+uZ2SbjbfABx+HN3wGrv2D7B8/AWUOCx7sEMiOrXPAp96p6pH/yiKEoLbEKiP/phtl6uf495M/QPszMHyebwVfG+u2zAKv31rJL4YqUAwF8MP3yzuSOTndgy2DRBV43SoRf5PRwO3bq2TZ37TaxSqELMe7+JuEVS2KovCtFzrYXOWc8ZVflLaDMuK79qNgLGBnXQnhqCKN5UxmMDszMpRbDC3y11KFqXT3aggh2FQZZ/OQpvibDCLOXyjL4r+1ioGoC0NgXC6uL8D4ZIhfnuzjjt012OfaiOdK/AEaroYD/zv7dxYLUOYwM67YEVmydY74dfFfNdS6rNLczWCEXe+SToHJttwf+hIRq5ufhq7JSr5f49ZtlbRE63hqzxfllCKY18n45JlB3A4LO5aoiV9O3ra3julQlF+9Ghf9b3mLTF+1PD5v/+dahznX7+OD1zexpKdfJAwdz8H6m2Ye0ozsTqrGdthcsRkHWUar8XcWFkA0onbVpp7X3lTpoGXAJ4fSWF3ygpWS+PtZX26XC+PRaMambnPZXlvEtFUNKBZJ/fzseA+BcJR79ydYpwl4cyf+y4xbq/aBjFM/U8EIlqD2WdWrfVac2hLrzC09u++VnYknH1z6hYPn4MITdKy/lwCyRjpbbK0uYnOVky921MPHjsPfDsP1fzzz/PhUiF+fHeBNO6pi5XWrgCvrS1jvtvPQse7Yg/VXy/WKBFU/DzzbTrnTwp27k4ig+07IW++mmPhXFRVS7rTERkm6GuXv7rG/yvAnmc+sGv+JIbmWkWLkD3LR1zcdpt87Le+MShpSjvxn7jKnRuWA8yzl/EHenWzZdAUAw30dCfeJRBW+faiDHbXF8xvygpMQCYJleSLzXDPb1nl88Z2XYNA3TYlQ7x70nP/KU+uy4p0Oy1RFWTM0HJCpn6XK757+Ryiwc7BYNixnM/IXQvD2ffWc6B6nZdAv65zj+NWrfQTDUd6aaKzdCiKE4J1X1XOkYzQ2lMNghLqrYva7Kmf7vBxsGeL9B9ZhMSVREtj+W7mNE38hBLvqijmhzi+mSjXVO/zlDH+S+SSs8U9D/LVc/fn4ip8kxX8yGKZrbHJ+mWcWI3+A6/dIy4SXXj2T8PnHTvXTNjTB/TclGM4+rnZaJ+HjfzlQajcziVpQkeGAokFfQA5uBz3yXw1oOdyZYe6774XhFuhexFv/0osykr3uDzk1VkB1caFMB2SRu3bXUGAUfPuFjlmPa3nyTZUOdtatnpSPxrv2N2A3G/n6s3EN27bSeWW0n3/iPM5CE+9JZqEXZL6/Yhs4Zpf4ba8tpm1YnY+7/ubYE5FQuj/CPObV+KfY3RuPJv4X4hd9PZeSqvVvHfSjKHBFlRpo5Ej8q+uaAGi50DLPPC8SVfjiby6wvtyeuCEv29YOK0xhgRFRoF70Q5mNfR30BnCh/t71nP/KM1PuqQ112XoXmKxw/HuJXxCagl98TOZ7r/0oFwb9WY36NcocFt6+r54fHu2KpaWAJ88Ocq7fx/03Ni+dJ18Biq0F3LO/gUdO9tE2FPdBnxqdEbiXOkZ58uwg/+umZmnZuxS/+bSs9NHKOePYXFWEoqhVMBtvgZv/Wj4xcCpbP1LiGn9IqbtXw2U3U+60zC73TLLWX6sSmkn7+HMj/liKiJhs2INDfPOF2X5X33uxk3P9Pv74lk0YE6UcZ6wdGrN7TiuIxaqmfTKO/KcpEX4UkzW9htJlYE2Jf61rTuRfWARb74RTP0n8yz76TVlLfueXiZpstOZI/AE+evMGjAbBJ378KpGowvhUiH945AyNZTbuSCZPvkLcf1Mz1gIj//DIGbmwaSuTeeCAj0A4wl/95FWqiwu577rGpQ8WnIRnPie/jlvs1dhSLYVQG/3HznfK7WJ3bikyr8ZfW7xOs9HoijQrfloGfJhNBtaVar0G2uD2LIu/EBiLqtlVPMkXnrwwk8I72e3hs4+e44aNbt48t7xTY6xDBk+O1VGFlg2sdvVim2nk7wvgNvhWbcoH1pj4u+0WzCbD7HGOu++Vi4unfyorO+IZbZNVGhteR+/4FFOhiHRXzAE1JVb+/o5tPNc6zD1fO8zdX32BvvEpPnf3LgpWYHBLspQ7LfzRLRt5+vwQ/324Eyq3AaC0P8OnHj7NhUE/n/mdHck1xfUci32dYHBHvcuGzWzkXHwO3erKauQ/r8a/9ddya0jvd7Cx0sGFAT/RqJKy+DeXO2JDe3z90vAsC9298yiqYXfJNC6bmXu/fpg/efA493ztMKV2M//vHbsXvuv0dEpDt1V4V5ouNrsa3GUh7VNhmkTYVqejJ6wx8TcYZK1/tydO/JtulN40Bz8H/9wEv/jDWE52YlBWrwAXBrXb8NxE/gDv2FfPP9y5jR7PFELA19+3L7ma+BXmg9c18drNFXzq56f5Unst4cJSXnn0Af7npS4+evOG5JvTLh2W29s/l7C222CQtfPn+lTxF0L+7gYSL1amw6wa/4Cayjrw0bSPd0Wlk6lQRB43FfHv9832j/KlV26aFI4KCqaG+OH9B9izzsXBliGu3+jmR//rAOXORTrKxzryKuUDYHeoa2tZSPu4Df5VHfln7lFwmVFbYp0d+QshOwh/9hH5/bFvQXBC9gFcOgxl0lWzVc3BbijPnfgLIXjvgUbeu8SAk9WGwSD48r17+LOHTvAvT7VRbNrD3cZn+IvX/j3335LC3IOuw9LB8er7F9xlS7WTx071yxF5mvif+B95wc5CBDqrxn9EFekMhoho1gznB3w0bKlIqtbfOx2id3x6tnOsrx+cmRu6JcRSBAEfDWU2vnXf/uReoyg5H624EhQ55f95NDCRUWQ85AvgEj6wbs3OieWANRX5g1brP+eqvv3u2NfNr5UpoO++TQ5U2fkOAC4M+nA7LAuOHFzrWM1GvnzvHh792A1svOU+rCLIR6paku9NiEag6wg0XLPobpurihibDDHoU90yK7bIbszx7Ax4Sejjn8Eiq9YT0jLgS7rW/2yvXNPYWh1397wXn74AAB9oSURBVOPrS2vROSksjthdTrJMDEPQL91c84hipxOPYic4lGCIfAoMeKdxRr2rttIH1mDkX+eyMuwPMB2KSI90kHYBt38OfvVxeOsDgAKDZ8G9aSbaujDoz2pzV76ytaYIqt4IrzTAy9+GnW9P7oUDp2QlTMOBRXfThuic6/dJczh1jYGBM1mpN+8em4rd3c2UV6afbnEWFlBbYp296LuE+J9SxX9brSr+kbAU/+IseebPxeyU3eWRMBiTlIRRtbw3z8S/zFnIq9Emrhp4Ne1jBMNRxicDWAtXd9pnzUX+jepA7o6RidlPXH0/fHJUTt2xu6HphhnhVxSF1gF/TvP9eYXBAPt/Fzqehf4k/4jan5XbphsW3W1zlRTEc31qxU/5ZrkdzDzvr9X412Yx8gfN5iH5Wv/TveNUOC1UONXFXX+/7EbP1sCUuWj2DKn42eSr+DvMDFECE2lYvqsM+QMU40egrNruXliD4t+kin/70MT8JxcYSDHoC+ALhPXIPxX2vA8KbHLoSjJ0PAtlG5Zspiq2FVDutNCqLsBjLZEmfVkQ/9G5Nf6+fvkzZGhfsKnSycVBP+FINKla/9M9XrbVxL3nTJdxrsRf/VynkvoZawdhyJvuXo0yuwWP4sAYSN/bZ9A7veq7e2ENi3/bcALxXwCtQ7NZF//ksbpgz/vlfOKB04vve/YRaHkMGheP+jWay+20DsUJVfkVslM7Q7T+jxk3T1+fjPozXEjeVOkkGInSMTK5ZMXPdChC65B/to/OuOqflKu0jxadTg4n/5rRNiiukynTPKLMYcajOCgI+9PuHB/0BSiZ6e7VSz1XDXaLicoiC+0piL/WVJTp3N41x00fl1Hzwc8tvE/ADw++W369RMpHY0OFQ7U/UFMnZRtg5GLKIxLnMlPmGR/5Z6G8cou6cHu6dzw26Hy0PeG+5/p9RKLKApF/jhZ8i1XfKE8Ki+ajbXmX8gFw2cx4UIO8NOdFzIr89bTP6mK92xGzI0iCc/0+yp2WVTFF67LCVioXcEcXqZzoeDb2dZKR/4ZyB77pMEPafNyyDbLyxD+w+AuXQCsBnjF10yL/DNlU6cBaYOSVSx45nhBiOfM5aB2222riIn9vDxTYZZNXLtDuRlKpmBptj/0seYTRIAiZ1f/ndMXfF2C7oQNFGFZ1H8SaFP+mcntKkf/ZPu9MlYlOitjLZFngQmhjHxsOJG0TsEHtsp7J+5c1y+1Ia7pnCci0j8NioshqkncRWYr8TUYDO2qLOd7lkc1r9vJFxb/YWhBbdwAp/kU1ueuktbrkxSXZyH9qTPo35WHkD8QmxaU5LGjQG2BnQQ+ibOOqLvVck+K/3m1nbDLE2ERwyX1DkSgXBvyza651ksdeLj3xE6VkolHpnbP1LvjgY0kfUvNXujgj/hvkNkPx12r8hRByUTY0mTUjtd0NJZzp9RIMR6G0eUHxP9o5xt51rtmWCuM9ucv3g9p/UJ985K+lrPJU/IW2SJvmsKBB3zRu44SsGlzFrE3xL1crfuaWeyagbWiCYCQ6k7fVSZHyzXIYyrFvzX7cNwBnfirLGK+4PaVDVhZZcFhMsci/uA6MlqxE/rHF3sxr/OPZXV9CMBLlbJ9X3qmMzE+FjU4EaR30s3fdnEVCb2/uKn00iuuTHzQzlt/ib3Jq4p9+2scl/LE7iFXKmhT/JreMHNsSlXvOQVvs3Vytp33SYsc7ZNf0L/8UfvQBePUheRfw+U3w0AdBGGHD61M6pBBidsWPwSjz1i98cb45XwrkosZfY3e9zCO/fGkMSpvkRS84+/N3rFOKzVWNcamCSFjum2vxT2XKmHbXsorz2ZlgLVIj9nTTPr4ARYpvVad8YI2Kf53Liskgklr0PdPnxWw00JxDT5+8xmCAt38bdt8jbTMO/rOcnayx8fVyXSBFmtWKnxlG1OlhZ36W1ml6p0P4psM5i/xrSqzUl1p54eKITPvAvNTP0Y5RzEbD7ME9WoNXLtM+INM+0x45kH0pRtvl/4vZlttzWiEczhJCipFwGo1e4UiUYf80toh3VVf6wBoV/wJVzGfG6y3C2T4fGyocq9pWedVTWAR3fhmu+j1pBhY/d3frnWkdckOFgwFvAO+0Wot948flNs3OzJ55ZZ6af372zNSu3+Dm8MURwiVqumRO6udIxyjba4titiMg8/2wPGkfSG7Rd7QtLyt9NMqchXiwE/Cm/lkamQhiVQKYlJCe9lmtbKl2yvzrIiiKwpler57yyRbOKjnoZfg83P1f0k9JG8iSItqd2Myi781/JQeLeDrTOl7P3CEuvn7Zo2DJ3h3f9RvK8QXCvDqt3unERf5jE0FOdHm4fuOcoTFetcFrOdI+kNyi79B5KE/BrfUyo7LIgkdxEvSn0PSmIsc3at29euS/KtlaU0Tv+PSiFT89nimG/YGZfK1OhjTfLC2A3/UD2P426ae0gKXGUsxU/GjrNkLIHLQ2WjBFtCEu87p7s8i1zWUIAc90TEvbiLhZxwdbhogq8Lq5sw+0nyfXNgozkf8Sef+JYVkF474it+ezglQ4CxnDgZLGXaQ2vhHI77SPEKJUCPFrIcQFdZvwPkcIERFCHFf//TyT98wWWvXOYtH/8S7p73Fl/eq+fbtsqN0L9z0Km9+Y8aHWldooMIrZeX9X44Kds0vR45nCYjLgdqh2Bb7+rIu/y25mV10JT5zph8JimB6fee7XZwdwOyzsiLd1ADkk3V6e1TuQhDgqwWheWvyHzsltnkf+44oDplL39xn0BWLin+eR/yeApxRF2Qg8pX6fiClFUXar/+7I8D2zgib+ZxYT/0seLCaDnvZZhZiMBhrL7LPFv7RJRspp2DxoZZ4z9fW+vpxMzrpjVw2ne70ETI4Z8R+fDPHkmQFu3141f/7Bck3LMhhkyeyS4n9ebjU31TykzGHBg4OCYBri7w3gYg1E/sCdwLfVr78N3JXh8ZYNt8NChdOyqPi/0uVhe22xvti7Smkun2PT4WqC0IRsKkuRnrGp2GLvTHdvloelA3fsrsFoEAyFCmUjGfDwiR4C4SjvvKp+/gvGOqBkXdbPIyGl6xe34gAp/mZH7tcgVhCjQTBdUExhKHXxH/BNU2tRh0Xl+YJvpaIofQDqdqH+/EIhxFEhxGEhxKq5QGyvLeZk93jC50KRKKd6xrlSz/evWjZUOOgcnZRdsxCLkNPI+/d44iZ4TY3JhekcRP5uh4U37qim3WckNOFhOhThPw+2sau+ZLaTJ8ga//Hu5aund2+SFUjR6ML7DJ8H98a8GtqeiGhhCQVKMOVZvoPeQP6IvxDiSSHEqQT/UqnRa1AUZR9wL/BvQojmBd7rw+pF4ujQUOrRW6rsXeeiddDPaIJF35PdHgLh6PxuS51VQ3OFnUhUoVPr1C7VTNNSy/tPBSMM+4OzF3shJ5E/wB/dspFepZSpwTZ+/7vH6PFM8Re3JVhA9XaDElk+8S/bIC0tvD0L7zPUkteLvTPM2Fyn1ug15JumwjQpp6OtcrvrJcVfUZRbFEXZnuDfw8CAEKIaQN0OLnCMXnXbBvwWuHKB/b6mKMo+RVH2lZeXJ9olq+xvkr/glzrm/4KfvTCMEHCgefUOY1jrzJR7DsVNyUKkHPnP+PjP6+7NfuQP8ry37r6GIsXLmQut/PUbt3BtcwIfGO3nWLbIf6Pcag1zc4mEwdebt5298Rgd6fn79I1PU26aXNU+/hqZpn1+Drxf/fr9wMNzdxBCuIQQFvVrN3AdkPnYpSyws64Ys8nAS+3zf8HPXRhmZ20xJbbVffVey8TEX438TRaZix5LLfKPDXFRa/w1//wcRf4AO3bLQfVPvqeC37txAY+cGfFfppy/W63gGV7AI0mrTlrl6YxsYHHIi3F4InnxD4ajDPkvD18fyFz8/wl4vRDiAvB69XuEEPuEEA+o+2wBjv7/9u49OK67OuD492hXD0srr2Rp9bBlSbZkOX7m5YSEQAIkkJAwhEII0KFAoU2BAqW0aeljBqblD6alZaYdOmlaQqFteKUDuMVMKCUkxCSOU8dv147sWA9LtqzHrmQ9LenXP353tXqspJVXe6+u9nxmPLvaves915KPfvu7v985InIEeAb4sjFmRST//GCAPXWlPHtm5hRTdGiMw21R7mhc2VX5sl1RfpDqcEFioxdc01r/Obt7YxcAgeIMNU8BqNgOQKh/nlE22PPICbp3cTVUaacr5hv5x1tPrln918EKS+zMw0Bv6j0iugZGMAZb12eFr/QBCKbzYmNMD3B3ksdfBn7Luf8rYFc675NJ9+6o4gt7T9DcNTBVJ37fsYuMTxru35WZj/1q+TREQjNbOq6rh1d/tqS/40J0iGCOUFnsNOvpb7e9BTI5ZxuKQGH5wr2Hu1+1K3CucSPckolAeaN932TiyT9TTWVWkOJSu3blSvQyqY7hO2MjABSOx6BwS4YiWz5Zv4bx3h32o/2+YxenHvvh4Qs0RIpmttJTK1JjRYiz01s6ltY7FTOHUv472vuGqQoXEIwv6Y1dcGe0XbENuk7N//zl04mpGLeUN83fDzle4rggnPz5VaS03NZ0GomlXuIhnvzzx6IrunF7XNYn/6pwAa9vKOPfD7QwOj7B0fYoL73Wy0M3b5zZUEOtSA2RIgbHJrjU77R0jBccS7U8MdDaO0TtumkVKvsz3DwlLp78ky2tHB+ztX8iLq+sqdxpzz9Z97X4L6qypIv1VpVIaQnDJo+rS6jv0xkdJsg4gbGYJn+/+N03N3Kpf5Q/euooj37/KOuK8viN2126yKbS0uDU+Jna6RuvgbOU5N8zRF2Zk/yNcUb+NcsZZnJVu2zv4WQbq3rP2WWebi+rXH+Dve04PPe59oP23zfFdpt+Vh7Ko48Qk0tY6tkZG2FDvh39a/L3iTsay/mduzbzo8MdtPYO8dX33UAoP63LIcoljXOWezq/tFOs7nlldJyewTE2xkf+I1G7S9iNkX/Nrfa27cDc57rjZRRcnvapvt7edr4y83FjoO0g1NzibjweCQZy6JcwgeHUi7tdjI3QFHI+gfog+WuGc/zJ27fx3ptrKCnMozyU73U4KkWR4nyK84OJ5B+qgGBByit+WnvstYG6dba1p2v188HOrxeEoe0luPGDM5/rOgUIlLl84bAgbJvNHHsKdrw7McXTfcau8a9/o7vxeGgot5Tw6FJG/sPcWjgCg6z4/r2gI/8ZGiuKNfH7jIjM7OolsqSWhK29NvlPzfnHd7eGk9TZWW45OXYk3X5w7nMdh+0vh0xX80xmw822euff3wQTTrOcZqf7WsNb3I/HI2P56yi8mnof387YCHUFTmkHH4z8Nfkr32uIhBIjf4C16+HUXrg6suhr22Yn/5jTPMWNaR+w/Q26TiY2lsV1vALrk26Ez7xN00b33/swfOMB2x6zrNG9DWcrgCksJzwZS6wkW0B8g1d1rrPhUJO/UpnXUFHEpf5RBuItHTuP2tsjTy762pbeQcJrcgkX5toH+i/YjVXL2L5xQdc9YG//78eJx/o77XJVr5J/3R2J+6d/DC3P2+sSW9Pvw+AngeIKCmWU/ljy4o/TxTd4VQTitfw1+SuVcY2zyzy8x9lcnsJKjdbe4ZnLPGPttqaPWxurIlvtvP7JaZVROg7ZW6+Sf1kDfPx5+PMu+PB/Jh6ffV1ilSsosQOArksLFLpzxNf4l8oA5IchkJvR2JaDJn/le/HlnlNlHhrvtiP3FGr8tPYMUhtf5jkxDke/a3v3uun698H5X9qpHoDz+yGQD9W73Y1juqpdtlZS/BdQab37ew48Flpnd/j3dS2e/Duc+lDhydiK7+AVp8lf+V6t09Jxxrz/us2LlnaemDS0900b+be+YG+7TmQo0nnc+oi9PfO0vT33C6i9DXLXuBtHMvnF8NGfwsf3ex2J60oiNvkP9HYuemx81VjhRNQXK31Ak79aBXIDOdTNbulYumnR5N8RHWZ80sy92Pveb87/okwoCNsqkIOXbTOVrhPQeI+7MSyk9nXerDryWEmZTf4jsaSV6mdo7R2iojifwHCvL+b7QZO/WiUaIkVzR/4DHQt2Ynqt214j2FTurPGPtgACW9+ewUjnURSxyf+Vf7Mx7HyP+zGoGXKK7U7mif7Ukn/tukJ7nalQR/5KuaaxIkRLzxBXJ5w6OfGuXgts9or3/433BSDaai/2Bj3Y61FUAS0vwIv/ADve5d5SUzW/vCJGJR+GFq/v0943TG3pGlsTSef8lXJPQyTE+KShxZl7TbR0PDfva85eHqS4IEh5yCnd3NeSqA3ktjd81tb5CVXC277kTQxqjsFgKcGRhUs8jI1P0hEbZnOJwMSob6Z9tLyDWhW2OL0YzlwaoLEiZKd9YMHkf677Cg2RUKJ6a7QF6l6f6VCT2/JWePQsBPIgoP8tV4qrBesoivYxNDZOYV7y78uF6DDGQEORU9dHL/gq5Z4tlSECOcKpzn77wJpS23RkgYu+Z7sG2Rxx5vsnrtoNXiUe7mDNK9TEv9IUllMm/Zzvnr8/RLxESN0a5xifjPw1+atVoSA3QEOkKJH8wVnumXzkf2V0nIv9I4n5/lgbmMmsKl+gFpcXriYiUVp6Buc9Jp78q4Ka/JXyxLbqtZzsmJX859no9ZqzG7ghPvKPNy0va8xkiMpnisprKCfG+cvzl3ho7RkkP5hDyaizGUyTv1Lu2la9lo7YCNGhMfvAuk12Bc/42Jxj48tCN8dH/j3x5L/ye68q9+SVbiAghp4FSjw0d11hcyRETvN/22qwpfXuBZgGTf5q1dhebcsynIxP/azbbKdyYm1zjj11sZ+8QE5ijX/Pq/YagU+W6SmXFNuNXoPdc3+G4l7tumIXGQx0QsV29+pCpUmTv1o1tjnJ/1TngH0g3s83yUXfU50DbKkMkRtv2t7TDOVbbD8ApeKKqwAYi3YkfXp4bIIL0WFbXPDKZQhF3IwuLZr81aoRKc6nPJSfuOi7wHLPkx39U78sAFtWQef71WzOyH/NSFeiZPg0Zy9fwRhojBTaHdpF/ulvrMlfrSo71q/l+AXn4lyoAnKL5lz07RoYofvK6NQ0EWODdplnvGWhUnFFEYzkUCF9nL44MOfp+LWj68JXwUy41wdiGWjyV6vKjbUlnL40YEdpIvai76yRf3xaaGrk33PW3urFXjVbIMhkYQWVRBPXkqY52dlPbkCozYv3kNZpH6U8cXNdKcbA4baofSBp8rf/iadG/vFPBvFpIqWmyQlXUxOMzlxG7DjWHmNb9VpyR5z6Pzrto5Q3bthYgggcanGSf+kmW9xtcmLqmGPtMTaUrEm0bhx2mnT7ZH22cpcUV1OTG5u5gRCYnDQca4+xuyZsL/aCnWr0CU3+alUpLshla2Uxh1qdhF7WABNj8MR9ABhjeLmllz31pYkXjTjXCArCLkerfKG4iojp5dTFAUbHE4OI8z2DDIyOs3tDCVy5ZB/U5K+Ud26sLeVQax8TkwbW1tgH21+yN33DXOofZU/dtOQ/HLVN2/OKPIhWrXjF1RSOx2B8NPGJEnil1d7fvTEMg122KF9BiVdRLpkmf7Xq3N5QxsDIOEfao7DpzsQT46O83GKbut9cN20z10jMjvp1jb9KZo0dKJTIEC+cTdT239/cTVlRHk0VxXClyzbk8dHPkCZ/teq8sbGcHIFnT1+GYB489A37RNdJnn+1h/CaXLZWFSde0H/BVxfqlMvy7cKAm6qC7D9ra/tPTBp+2dzN6xvLyckR6O+Y2hPgF2klfxF5r4icEJFJEdmzwHH3ichpEWkWkc+n855KLaa0KI/rN5bwi9NO+73q6wGY7DjKM6e7eNPWCIEcZ4RmDFw4NHWMUnPk24HCXXUFHGrto71viF+d7ebywCj37bA7gBnohLVZlPyB48C7gefmO0BEAsDXgLcD24EPiMj2NN9XqQW9dXslR9pjnO8etCt+8orpbj5I7+AYd2+bthGn95ydr619nXfBqpXNaV5/T0MhAI8/d47Hnj1LSWEud29zPjH2d0Lxeq8ivCZpJX9jzCljzOlFDrsVaDbGnDPGjAHfAR5M532VWsy7b6whR+Cp/22HnByo2slw22Hygjnc1TRtI8755+1t3Ru8CVStfM7IP5I7xoduq+NbL7Swv7mHz721iYLcAIwOwNiA70b+brQN2gBML4nXDiQdZonII8AjALW1HvVSVatCVbiAu5oifPulVj7+pgYCkd1UtjzBu3aWE16TmziwZb+d7y/X3b1qHs6cPyNR/vSBe9lQuobwmlwe3rPRPt7faW/XbvAmvmu06MhfRH4mIseT/El19J7s8rdJdqAx5nFjzB5jzJ5IxD/bpNXK9Hv3NNEzOMaj3z/CP7dWUSBX+cy2K4kDJifh3LNQf4evVmkol63dAAhEW8kPBnjkzgbed0ttovfzgFPx02cXfBcd+Rtj7knzPdqBjdO+rgGS10dVahndsLGEP3xbE1/56RkOUM2nC6Bm4DDwZntA24tw5SJc9w5P41QrXG4BrF0/fz/oqZG/v+b83Zj2OQhsEZFNwAXg/cCvu/C+SvGpt2zh/l3V5IjAd/4WTvzANtxouhcOfh3yQtB0n9dhqpUuXiYkmQEn+fts5J/uUs9fE5F24HbgxyLytPP4ehHZB2CMGQc+BTwNnAK+Z4w5kV7YSqVucyREfXkRNLwFOo/Akw/D3s/A8f+APR+dWs2h1LzW1c/bD5pYm90IllfoakjpSmvkb4z5AfCDJI93APdP+3ofsC+d91Iqbde9Aw48Zu8f+qZd23/XH3sbk/KH0npbv2dscG4ZkL4WKKnzJKx0uDHto9TKUHt74v4nD9gSzsE87+JR/hFvCdrXApWztilFW6Byp/sxpUmTv8oegSB8ZB8UrIWK67yORvlJvMtb95mZyX9yEqKtcN0D3sSVBq3to7JL/R1QtcvrKJTfRLaBBODisZmPD3TakuE+nPbR5K+UUovJLYDI1rnJ/+dfsrelmvyVUmp1qtoFF4/OfOzIk/ZWR/5KKbVKVe220zzxlo1XRxLPldZ7ElI6NPkrpVQqNtxsb1t/ZW+7z9jbh74Bgdzkr1nBNPkrpVQqam6B/DC8+lP79aXj9rbCnxXqNfkrpVQqAkFbFuTEj2CoF9peshU/y5u8juyaaPJXSqlUveGztnb/z75ok3/NLbZfhA/5M2qllPJC5Q7b+Of0T6DrBNT7twmQJn+llFqKklrb+hNgx7u8jSUNmvyVUmopQk7f3k132vpQPqW1fZRSail2P2yre77xc15HkhZN/koptRSVO+CBr3gdRdp02kcppbKQJn+llMpCmvyVUioLafJXSqkspMlfKaWykCZ/pZTKQpr8lVIqC2nyV0qpLCTGGK9jSEpELgMt1/jycqB7GcPxAz3n7KDnnB3SOec6Y0xksYNWbPJPh4i8bIzZ43UcbtJzzg56ztnBjXPWaR+llMpCmvyVUioLrdbk/7jXAXhAzzk76Dlnh4yf86qc81dKKbWw1TryV0optQBfJ38RuU9ETotIs4h8Psnz+SLyXef5AyJS736UyyuFc/6ciJwUkaMi8j8iUudFnMtpsXOedtxDImJExPcrQ1I5ZxF52PlenxCRJ92Ocbml8LNdKyLPiMgrzs/3/V7EuVxE5AkR6RKR4/M8LyLyd86/x1ERuWlZAzDG+PIPEADOApuBPOAIsH3WMZ8EHnPuvx/4rtdxu3DObwYKnfufyIZzdo4rBp4DXgT2eB23C9/nLcArQKnzdYXXcbtwzo8Dn3DubwfOex13mud8J3ATcHye5+8HfgIIcBtwYDnf388j/1uBZmPMOWPMGPAd4MFZxzwIfNO5/xRwt4iIizEut0XP2RjzjDFmyPnyRaDG5RiXWyrfZ4C/BP4KGHEzuAxJ5Zx/G/iaMaYPwBjT5XKMyy2VczbAWud+GOhwMb5lZ4x5Duhd4JAHgW8Z60WgRESql+v9/Zz8NwBt075udx5LeowxZhyIAWWuRJcZqZzzdB/Djhz8bNFzFpEbgY3GmP9yM7AMSuX73AQ0ich+EXlRRO5zLbrMSOWcvwh8UETagX3Ap90JzTNL/f++JH7u4ZtsBD976VIqx/hJyucjIh8E9gB3ZTSizFvwnEUkB/gq8BG3AnJBKt/nIHbq503YT3e/FJGdxphohmPLlFTO+QPAvxhj/kZEbgf+1TnnycyH54mM5i8/j/zbgY3Tvq5h7sfAqWNEJIj9qLjQx6yVLpVzRkTuAf4MeKcxZtSl2DJlsXMuBnYCvxCR89i50b0+v+ib6s/2j4wxV40xrwGnsb8M/CqVc/4Y8D0AY8wLQAG2Bs5qldL/92vl5+R/ENgiIptEJA97QXfvrGP2Ah927j8E/Nw4V1J8atFzdqZA/hGb+P0+DwyLnLMxJmaMKTfG1Btj6rHXOd5pjHnZm3CXRSo/2z/EXtxHRMqx00DnXI1yeaVyzq3A3QAisg2b/C+7GqW79gIfclb93AbEjDGdy/WX+3baxxgzLiKfAp7GrhR4whhzQkT+AnjZGLMX+Dr2o2EzdsT/fu8iTl+K5/zXQAj4vnNtu9UY807Pgk5Tiue8qqR4zk8DbxORk8AE8Kgxpse7qNOT4jn/AfBPIvL72OmPj/h5MCci38ZO25U71zG+AOQCGGMew17XuB9oBoaA31zW9/fxv51SSqlr5OdpH6WUUtdIk79SSmUhTf5KKZWFNPkrpVQW0uSvlFJZSJO/UkplIU3+SimVhTT5K6VUFvp/VNWuCb9UyTYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "RMSE: 0.06143048984848833\n" ] } ], "source": [ "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig = sim.data[stim_p][:,0]\n", "\n", "fspikes1 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "\n", "A = np.array([fspikes1, fspikes2]).T\n", "\n", "xhat = np.dot(A, [1,-1]) * dt #decoders included in h\n", "\n", "t = sim.trange()\n", "figure()\n", "plot(t, sig)\n", "plot(t, xhat)\n", "show()\n", "print ('RMSE:', np.average((sig-xhat)**2))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- It's a few times worse on a different signal\n", "- Not bad, but could use some improvement" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Improving the optimal decoder\n", "\n", "- We're only training on a pretty small set of data\n", " - So let's increase $T$\n", " - This helps, but can get computationally expensive to generate more and more data\n", "- There's also a bit of a shortcut\n", " - We've already created a pretty long signal ($T=1.0$ seconds)\n", " - We know the filter should probably decay towards zero\n", " - A spike shouldn't affect values far away from when it happens\n", " - So let's take our one existing signal and chop it up into lots of little signals\n", " " ] }, { "cell_type": "code", "execution_count": 147, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sig2 = np.zeros_like(sig)\n", "r2 = np.zeros_like(r)\n", "\n", "sig2[400:600] = sig[100:300]\n", "r2[400:600] = r[100:300]\n", "\n", "figure()\n", "plot(t, sig)\n", "plot(t, r)\n", "vlines(0.1, -1, 1, linewidth=3)\n", "vlines(0.3, -1, 1, linewidth=3)\n", "\n", "figure()\n", "plot(t, sig2)\n", "plot(t, r2);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Add up a whole bunch of these with different slices\n", "- But, this introduces some weird edge effects at the beginning and ending of the window\n", "- So we can do some sort of smoothing of the data (as described in Appendix B.3)\n", " - We use a Gaussian because its Fourier transform is local in frequency (unlike a square)" ] }, { "cell_type": "code", "execution_count": 148, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sigma = 0.06 #This should be ~3x longer than the neuron memory\n", "window = np.exp(-(t-0.5)**2/(sigma**2))\n", "\n", "sig2w = np.roll(sig, 300)*window\n", "r2w = np.roll(r, 300)*window\n", "\n", "figure()\n", "plot(t, sig)\n", "plot(t, r)\n", "vlines(0.1, -1, 1, linewidth=3)\n", "vlines(0.3, -1, 1, linewidth=3)\n", "\n", "figure()\n", "plot(t, sig2w)\n", "plot(t, r2w)\n", "show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The last graph can be thought of as one trial, which we perform at every $\\Delta t$ and then average over\n", "- So we're going to take our original data ($x(t)$ and $r(t)$) and multiply it by another function (the Gaussian) in the time domain\n", "- Consequently, in the frequency domain, this multiplication becomes a...\n", "\n", "$$H(\\omega)= {{(X(\\omega)R^*(\\omega)) * W(\\omega)} \\over {|R(\\omega)|^2*W(\\omega)}} $$\n", "\n", "- So we're windowing and averaging in time because convolution in frequency (it's kind of unusual to see convolution in frequency), which gives an efficient method for estimation." ] }, { "cell_type": "code", "execution_count": 149, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# original code ignoring DC\n", "H = (X*R.conjugate()) / (R*R.conjugate())\n", "\n", "# new code \n", "sigma_t = 0.025\n", "W2 = np.exp(-omega**2*sigma_t**2)\n", "H = (np.convolve(X*R.conjugate(),W2, 'same')) / (np.convolve(R*R.conjugate(),W2, 'same'))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "How well does this work?" ] }, { "cell_type": "code", "execution_count": 150, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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It can be enabled with `nengo.rc.set('progress', 'progress_bar', 'nengo.utils.progress.TerminalProgressBar')`." ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " (function () {\n", " var root = document.getElementById('06363727-7677-418a-917e-ddb3a0646791');\n", " var text = root.getElementsByClassName('pb-text')[0];\n", " var fill = root.getElementsByClassName('pb-fill')[0];\n", "\n", " text.innerHTML = 'Simulation finished in 0:00:01.';\n", " \n", " if (100.0 > 0.) {\n", " fill.style.transition = 'width 0.1s linear';\n", " } else {\n", " fill.style.transition = 'none';\n", " }\n", "\n", " fill.style.width = '100.0%';\n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none'\n", " \n", " \n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none';\n", " \n", " })();\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "in_stim.output = WhiteSignal(T, high=20, rms=0.5)\n", "\n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig1 = sim.data[stim_p][:,0]\n", "\n", "r = (sim.data[spikes_p][:,0]-sim.data[spikes_p][:,1])*dt\n", "\n", "X = np.fft.fftshift(np.fft.fft(sig1))\n", "R = np.fft.fftshift(np.fft.fft(r))\n", "\n", "sigma_t = 0.06\n", "W2 = np.exp(-omega**2*sigma_t**2)\n", "Rmag = R*R.conjugate()\n", "Rmag[int(floor((Rmag.shape[0]-1)/2) + 1)] = .1 #remove zero DC term\n", "H = (np.convolve(X*R.conjugate(),W2, 'same')) / (np.convolve(Rmag,W2, 'same'))\n", "h = np.fft.fftshift(np.fft.ifft(np.fft.ifftshift(H))).real" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What does this new filter look like?\n", "- How does it compare without windowing?" ] }, { "cell_type": "code", "execution_count": 151, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(-0.2, 0.2)" ] }, "execution_count": 151, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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It can be enabled with `nengo.rc.set('progress', 'progress_bar', 'nengo.utils.progress.TerminalProgressBar')`." ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " (function () {\n", " var root = document.getElementById('51fce8f7-cc54-405c-8edd-0816f4563d1f');\n", " var text = root.getElementsByClassName('pb-text')[0];\n", " var fill = root.getElementsByClassName('pb-fill')[0];\n", "\n", " text.innerHTML = 'Simulation finished in 0:00:01.';\n", " \n", " if (100.0 > 0.) {\n", " fill.style.transition = 'width 0.1s linear';\n", " } else {\n", " fill.style.transition = 'none';\n", " }\n", "\n", " fill.style.width = '100.0%';\n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none'\n", " \n", " \n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none';\n", " \n", " })();\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig1 = sim.data[stim_p][:,0]\n", "\n", "fspikes1_1 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2_1 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "spikes_1 = (sim.data[spikes_p][:,0]-sim.data[spikes_p][:,1])*sim.dt\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig2 = sim.data[stim_p][:,0]\n", "\n", "fspikes1_2 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2_2 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "spikes_2 = (sim.data[spikes_p][:,0]-sim.data[spikes_p][:,1])*sim.dt\n", "\n", "A1 = numpy.array([fspikes1_1, fspikes2_1]).T\n", "A2 = numpy.array([fspikes1_2, fspikes2_2]).T\n", "\n", "x1hat = np.dot(A1, [1,-1]) * dt\n", "x2hat = np.dot(A2, [1,-1]) * dt\n", "\n", "t = sim.trange()\n", "figure()\n", "plot(t, sig1)\n", "plot(t, x1hat)\n", "plot(t, spikes_1, 'k.')\n", "ylim(-1.5,1.5)\n", "show()\n", "print ('RMSE:', np.average((sig1-x1hat)**2))\n", "\n", "figure()\n", "plot(t, sig2)\n", "plot(t, x2hat)\n", "plot(t, spikes_2, 'k.')\n", "ylim(-1.5,1.5)\n", "print ('RMSE:', np.average((sig2-x2hat)**2))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- It's a bit better on the original signal\n", "- And is 'less worse' when tested on a different signal\n", "- What about higher frequency inputs? Or lower frequency?" ] }, { "cell_type": "code", "execution_count": 153, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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It can be enabled with `nengo.rc.set('progress', 'progress_bar', 'nengo.utils.progress.TerminalProgressBar')`." ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " (function () {\n", " var root = document.getElementById('637bfc64-c0b7-46dc-9d6d-7eb4d0558c94');\n", " var text = root.getElementsByClassName('pb-text')[0];\n", " var fill = root.getElementsByClassName('pb-fill')[0];\n", "\n", " text.innerHTML = 'Simulation finished in 0:00:01.';\n", " \n", " if (100.0 > 0.) {\n", " fill.style.transition = 'width 0.1s linear';\n", " } else {\n", " fill.style.transition = 'none';\n", " }\n", "\n", " fill.style.width = '100.0%';\n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none'\n", " \n", " \n", " fill.style.animation = 'none';\n", " fill.style.backgroundImage = 'none';\n", " \n", " })();\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "RMSE: 0.01290509683207852\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "in_stim.output = WhiteSignal(T, high=5, rms=0.5)\n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig3 = sim.data[stim_p][:,0]\n", "\n", "fspikes1_3 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2_3 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "spikes_3 = (sim.data[spikes_p][:,0]-sim.data[spikes_p][:,1])*sim.dt\n", "\n", "A3 = np.array([fspikes1_3, fspikes2_3]).T\n", "\n", "x3hat = np.dot(A3, [1,-1]) * dt\n", "\n", "t = sim.trange()\n", "figure()\n", "plot(t, sig3)\n", "plot(t, x3hat)\n", "plot(t, spikes_3, 'k.')\n", "ylim(-1.5,1.5)\n", "print ('RMSE:', np.average((sig3-x3hat)**2))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The decoder works better if it is made for the right range of frequencies\n", "- What does this tell us about rate vs timing codes?\n", " - Doesn't make much sense without thinking about the signal properties\n", " - These methods can account for both kinds of codes and smoothly vary between" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Optimal filters reconsidered\n", "\n", "- So we have now found the optimal filter to apply to the spike data to decode out information\n", "- Note a limitation: we've only done this for the case of 2 neurons!\n", " - But we could use the same filter for many more neurons\n", "- Recall what this windowed filter looks like" ] }, { "cell_type": "code", "execution_count": 154, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(-0.2, 0.2)" ] }, "execution_count": 154, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure()\n", "plot(t-T/2, h)\n", "xlabel('t')\n", "ylabel('h(t)')\n", "xlim(-0.2, 0.2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What is this saying?\n", "- Every time a spike occurs, when we interpret the data we should replace the spike with this shape\n", "- What does this mean?\n" ] }, { "cell_type": "code", "execution_count": 158, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(8,4))\n", "vlines(dt*np.where(spikes1>0)[0], -1, 1)\n", "plot(t, fspikes1_1*dt, label='filtered spikes')\n", "ylabel('$x$')\n", "ylim(-1,1)\n", "xlim(0.2, 0.4)\n", "xlabel('time (s)')\n", "legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- If we're analyzing the data after the fact, this is fine\n", "- But what if we're just sitting here observing the neural activity and wanting to know what's being represented right now?\n", " - Notice that the blue line (the filtered value we're using for decoding) starts going up *before* the spike happens\n", " - The filtered value is using information *from the future*.\n", "- This means that when we look at $\\hat{x}$ this way, we're getting a better estimate of $x$ than it is possible for other neurons to get\n", " - (assuming neurons aren't psychic)\n", "- What could we do instead?\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Biologically plausible filter\n", "\n", "- We're looking for something that takes a spike and turns it into some smooth signal\n", "- Instead of coming up with the optimal filter, is there anything from neuroscience we could use instead?\n", "- What actually happens when a spike occurs?\n", " - What is the input to the next neuron that occurs when a spike happens?\n", "\n", "\n", "\n", "- A spike causes a vesicle to release neurotransmitter\n", "- The amount of neurotransmitter causes current to flow into the next neuron\n", "- The neurotransmitter is slowly reabsorbed\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What is the current that goes into the next neuron thanks to a single spike?\n", "\n", "\n", "\n", "(image stolen from [here](http://www.zoo.utoronto.ca/berry/zoo252/l9/lect9.htm))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- So other neurons don't get spikes as inputs\n", " - They get these post-synaptic currents\n", " \n", "$$\n", "h(t) = \\begin{cases}\n", " e^{-t/\\tau} &\\mbox{if } t > 0 \\\\ \n", " 0 &\\mbox{otherwise} \n", " \\end{cases}\n", "$$\n", "\n", "- This is the standard simple model\n", " - $\\tau$ is different for different neurotransmitters and different neurotransmitter receptors\n", " - GABA-A-R: $\\tau=10.41 \\pm 6.16$ ms\n", " - AMPA-type GluR: $\\tau=2.2 \\pm 0.2$ ms\n", " - NMDA-type GluR: $\\tau=146 \\pm 9.1$ ms\n", " \n", "- For more complex models, some people use \n", "\n", "$$\n", "h(t) = \\begin{cases}\n", " t^n e^{-t/\\tau} &\\mbox{if } t > 0 \\\\ \n", " 0 &\\mbox{otherwise} \n", " \\end{cases}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Pw1hm9XkeRdJDfSkrch7QEhHrIuIwsBJYWlJnKXBXsnwfcJEkRcS+iHiUQtAUf98MYHxE/DIiAvgWcFmZtu4qKjfLlb5O8k8ZW8u4uhoHjGVWX+ZgRgKjgSnJYaeuH/vxwMweNp1F4dBal1bg/O7qRES7pN1APbCthzZbS9qclSxPi4gtSVtbJE3taVxmeSeJExt8JpllV68BA/wRcC2FMHmCNwPmDQqHwLpT7u+v0tNd+lLneOq/vQHpagqH2Jg7d25/NjUbFG/+QPc2zV84TLZ6w840u2N2zPoyB/N3ETEf+FxEnBgR85PXWRFxSw+btgJzij7PBjZ3V0dSDTAB2NFLm7O7aXNrcgit61Da692M5/bkJIVFDQ0NPXyVWfbNnzKWzbsPcPBIR6W7YvY2vQaMpPcBRMT/6mb9eElnlFm1GmiUNF9SLbAMaCqp0wQsT5YvBx5O5lbKSg6B7ZH07uTssU8C95dpa3lRudmQNb9hDBHwqm8ZYxnUl0NkH5H0FeBHFA6RdV0HswD4beAE4M9LN0rmVK4BHgCqgTsjYo2kG4DmiGgC7gDultRCYc9lWdf2kjZQmOeplXQZcElEvAD8MfDPwCjgh8kL4Ebg3uSU6deAK/rx38EsM7r+xuptkh8K18IArGvbyynTx6XZLbN+6zVgIuLPksn9yyn80p4OHABeBP4hIn7ew7argFUlZdcXLR+kmyCIiHndlDcDb9tjiojtwEW9DMdsSDmxoRAwa1/fy6UV7otZqb7swRAROyV9C9gPzCva7iKg24Axs/47erv+PtQdXVvDnMmjeHnrnjS7ZHZM+hQwifuBXcCTlFyfYmaVc/LUcazd6qv5LXv6EzCzI2Jx79XMbDA1ThvHT9e2caSjkxHVvgetZUd/fhp/IekdqfXEzAqOXsnfl4NkcPK0sRzpCF7d7gsuLVv6ciX/cxR+5GuAP5C0DjhE4RBxRMSZ6XbRzHpy8rTC2WMvb93Lgqk+k8yyoy+HyH439V6Y2VHRv5tTcFLDWCR4eesePvSOGSn1yqz/+nKa8quD0REze6u+HSCDUbXVzJ082hP9ljmeETQbAhqnjvOpypY5DhizjOnr7fqLnTxtLOu37eNwe2c6nTI7Bg4YsyHglOnjaO8M37rfMsUBY5Yx3d/utXunzRgPwAtbdg9wb8yOnQPGLKPU52n+wk0v62qqWLPpjRR7ZNY/DhizIaCmuopTp4/jhS0OGMsOB4xZxhy92WU/JvkBFs4cz5rNb9DDI5XMBpUDxmyIWDhzArsPHGHzbt+L1rLBAWOWMce6B7Iwmehfs8kT/ZYNqQaMpMWSXpLUImlFmfV1ku5J1j8maV7RuuuS8pckfTApO0XS00WvNyRdm6z7gqRNRes+lObYzLLmtBnjkPA8jGVGf27X3y+SqoFbgYuBVmC1pKbkscddrgJ2RsQCScuAm4CPSVpI4fHJpwMzgQclnRwRLwFnF7W/CfheUXs3R8TfpDUmsywbXVvD/CljWLPZAWPZkOYezHlAS0Ssi4jDwEpgaUmdpcBdyfJ9wEUq3KN8KbAyIg5FxHqgJWmv2EXAK75Xmg01xzrJD3D6zAm84ICxjEgzYGYBG4s+tyZlZetERDuwG6jv47bLgG+XlF0j6VlJd0qadHzdN8uf02eOZ9OuA2zfe6jSXTFLNWDK/f1VOnvZXZ0et5VUCywBvlO0/jbgJAqH0LYAXy3bKelqSc2Smtva2rrvvVmFHM9ZxmfNngjAs62e6LfKSzNgWoE5RZ9nA5u7qyOpBpgA7OjDtpcCT0bE1q6CiNgaER0R0Ql8g7cfUuuqd3tELIqIRQ0NDcc0MLPB0J8r+bucOXsCVYKnNu5KoUdm/ZNmwKwGGiXNT/Y4lgFNJXWagOXJ8uXAw1E4R7MJWJacZTYfaAQeL9ruSkoOj0kqftLSh4HnB2wkZjkxpq6Gk6eN42kHjGVAameRRUS7pGuAB4Bq4M6IWCPpBqA5IpqAO4C7JbVQ2HNZlmy7RtK9wAtAO/DpiOgAkDSawplpf1TylV+RdDaFQ2kbyqw3y4njuxL/7DkT+eHzvyEi0LGcKWA2QFILGICIWAWsKim7vmj5IHBFN9t+CfhSmfL9FE4EKC3/xPH21yxLjjUbzpozkZWrN7Jh+37mTxkzsJ0y6wdfyW82xJw9pzDR//TGnRXuiQ13DhizjDmWJ1oWO3naOEbXVvP0a56HscpywJgNMdVV4oxZEzzRbxXngDHLmIG42f6iEyaxZvMb7D/cPgCtmR0bB4xZRh3LdTBdzps/mfbO4CkfJrMKcsCYDUHnnjCJKsFj63dUuis2jDlgzDLmeCf5AcaNHMHCmeNZ7YCxCnLAmA1R75o3mSdf28nh9s5Kd8WGKQeMWcbEgEzzw/nzJ3OovZPnNnkexirDAWOWUcd7k5d3zZsMwOPrfcGlVYYDxmyIqh9bx4KpY/nluu2V7ooNUw4Ys4wZiEn+Lu9bMIXH12/n4JGO42/MrJ8cMGZD2AWNUzh4pJMnX/VhMht8DhizjBmYKf6C80+sp6ZK/HTttgFs1axvHDBmmXX8x8jG1tVwzgmT+NlaPx7cBp8DxmyI+63GKazZ/Abb9x6qdFdsmEk1YCQtlvSSpBZJK8qsr5N0T7L+MUnzitZdl5S/JOmDReUbJD0n6WlJzUXlkyX9WNLa5H1SmmMzS0vEQB4kg/c1NgDwaIsPk9ngSi1gJFUDtwKXAguBKyUtLKl2FbAzIhYANwM3JdsupPD45NOBxcDXk/a6/HZEnB0Ri4rKVgAPRUQj8FDy2Sy3Buppx++YNYFJo0fwk5d8mMwGV5p7MOcBLRGxLiIOAyuBpSV1lgJ3Jcv3ARep8BDxpcDKiDgUEeuBlqS9nhS3dRdw2QCMwSz3qqvEhadO4+Ffv86RDt82xgZPmgEzC9hY9Lk1KStbJyLagd1AfS/bBvBvkp6QdHVRnWkRsSVpawswdYDGYVYRA7QDA8DFC6ey+8ARmjf4dGUbPGkGTLl/H6UHl7ur09O2742Icygcevu0pN/qV6ekqyU1S2pua/MhAxseLmhsoLamigdf3FrprtgwkmbAtAJzij7PBjZ3V0dSDTAB2NHTthHR9f468D3ePHS2VdKMpK0ZwOvlOhURt0fEoohY1NDQcMyDM0vLAM/xAzCmrob3nlTPj1/YOuAnEZh1J82AWQ00SpovqZbCpH1TSZ0mYHmyfDnwcBR++puAZclZZvOBRuBxSWMkjQOQNAa4BHi+TFvLgftTGpfZoNBAzfInLl44ndd27OflrXsHtF2z7qQWMMmcyjXAA8CLwL0RsUbSDZKWJNXuAOoltQCfJTnzKyLWAPcCLwA/Aj4dER3ANOBRSc8AjwM/iIgfJW3dCFwsaS1wcfLZLHcG6nb9pT5w2lQkWPXcllTaNytVk2bjEbEKWFVSdn3R8kHgim62/RLwpZKydcBZ3dTfDlx0nF02y4yB3X+BqeNH8u759Xz/2c1c+4HGAd9DMivlK/nNhpHfO2sm69r28cKWNyrdFRsGHDBmGZPmHPylZ0ynpko0PVN6vo3ZwHPAmGVUGkewJo2p5YLGKfzrM1t8NpmlzgFjljFp/95fcvZMNu06wOPrd6T7RTbsOWDMMkoDPs1fsPj0GYyrq+Ge5o29VzY7Dg4Ys2FmVG01S86eyarntrD7wJFKd8eGMAeMWcYMxszIsnfN5eCRTk/2W6ocMGYZleZlKmfMGs9pM8az8vHXPNlvqXHAmGXMYPzCl8TvnzeHNZvf4MnXdqX+fTY8OWDMhqn/dM5sxo+s4c5H11e6KzZEOWDMhqkxdTVced5cfvj8Flp37q90d2wIcsCYZcxgzoh88j3zkMS3fvnqIH6rDRcOGLOMGox7Uc6aOIpLz5jOvzz2Grv2H07/C21YccCYZc0gn9T1Xy9sZO+hdu7wXIwNMAeM2TB3yvRx/M47ZvBPP9/gvRgbUA4Ys4wazOe1fOYi78XYwEs1YCQtlvSSpBZJK8qsr5N0T7L+MUnzitZdl5S/JOmDSdkcSY9IelHSGkl/WlT/C5I2SXo6eX0ozbGZpSWtJ1r2pGsv5s5H1/P6noOD/v02NKUWMJKqgVuBS4GFwJWSFpZUuwrYGRELgJuBm5JtFwLLgNOBxcDXk/bagT+PiNOAdwOfLmnz5og4O3m95UmaZnkz2M+b/NwHT+FwRyd/88BLg/zNNlSluQdzHtASEesi4jCwElhaUmcpcFeyfB9wkQrHBZYCKyPiUESsB1qA8yJiS0Q8CRARe4AXgVkpjsFs0FXqzi3zp4zhD947n+880crzm3ZXphM2pKQZMLOA4vuBt/L2MDhaJyLagd1AfV+2TQ6nvRN4rKj4GknPSrpT0qTjH4LZ8HLNhQuYPLqWv/r+Gt+jzI5bmgFTbg+/9Ce2uzo9bitpLPB/gWsjouvh4rcBJwFnA1uAr5btlHS1pGZJzW1tbT2PwKyCBnGO/6jxI0fw3xefwuoNO/n2435ejB2fNAOmFZhT9Hk2UHpv8KN1JNUAE4AdPW0raQSFcPk/EfHdrgoRsTUiOiKiE/gGhUN0bxMRt0fEoohY1NDQcBzDM0tHpfcbPrpoDu85qZ4vr3qRTbsOVLg3lmdpBsxqoFHSfEm1FCbtm0rqNAHLk+XLgYejsF/eBCxLzjKbDzQCjyfzM3cAL0bE3xY3JGlG0ccPA88P+IjMBlFaT7Ts9XslbvrImXR0Btd99zkfKrNjllrAJHMq1wAPUJiMvzci1ki6QdKSpNodQL2kFuCzwIpk2zXAvcALwI+AT0dEB/Be4BPAhWVOR/6KpOckPQv8NvBnaY3NLE1Z+H0+Z/JoVlx6Kj99uY1//sWGSnfHcqomzcaTU4VXlZRdX7R8ELiim22/BHyppOxRujl7MyI+cbz9NbM3feLdJ/DTl9v48qoXOXvORN451+fNWP/4Sn6zjKrEJH+xqirx1Y+exdRxI7nmX55i5z7fRsb6xwFjljGVuJK/OxNH1/L1j59D295DXH13MwePdFS6S5YjDhizjKrwDsxRZ82ZyN9+9CxWb9jJn3/nGTo7sxOAlm2pzsGY2dDwu2fOZPOuA3x51a+ZPLqWG5aePqg347R8csCYZUwWziIr579ccCLb9x3mH/99HUFww5IzqKpyyFj3HDBmWZWx392SWLH4VIT4h39/hYNHOvnyh99BbY2PtFt5DhizjMnoDgxQCJm/WHwKI0dU8bUH17J51wFu+/i5TBg9otJdswzynx5m1i+SuPYDJ/PVK85i9YYdfPi2n/Pr37zR+4Y27DhgzDKqUreK6auPnDub/33V+ew52M6SW37O3b/c4NvK2Fs4YMyyJke/pM8/sZ4f/ukFvOekej5//xo+eefjbNi2r9LdsoxwwJhlVF7OAp4yto47l7+Lv1pyOk+9totLvvZTvvbgy+w71F7prlmFOWDMMiY/+y9vqqoSy98zjwc/+34uPm0aX3twLe//60f4p5+v51C7r/4frhwwZjZgpk8Yya0fP4fv/sl7aJw6jr/6/gu898ZHuPnHL/P6noOV7p4NMp+mbJZROTlCVtY5cyfx7avfzS9e2cY3f7aev3toLbf95BU+eMZ0Ljt7Jr91cgMjqv337VDngDHLmBzN8ffqPSdN4T0nTWH9tn3c9YsN3P/0Jr7/zGYmjR7BB0+fzn88ZSrva5zC2Dr/KhqK/H/VLKOG0r2+5k8ZwxeWnM5f/s5p/GxtG//vqc384NktrFy9kRHV4twTJvGueZM554RJnDNnki/cHCJSDRhJi4G/A6qBb0bEjSXr64BvAecC24GPRcSGZN11wFVAB/CZiHigpzaTRyuvBCYDTwKfiAg/wMJyZyhfSzKiuooLT53GhadO40hHJ0++upNHXmrj0ZY2vv6TV+hI7tR8YsMYTps+npOnjeOU6YXX7EmjfFgtZ1ILGEnVwK3AxUArsFpSU0S8UFTtKmBnRCyQtAy4CfiYpIXAMuB0YCbwoKSTk226a/Mm4OaIWCnpH5K2b0trfGZ2fEZUV3H+ifWcf2I9cCov6t3BAAAHYElEQVT7DrXzTOsunnptF09v3MXzm3ez6vktRw8ZVgmmjx/J7MmjmT1pFHMmjWbq+DqmjO161TJlbB2ja6uH1N5fnqW5B3Me0BIR6wAkrQSWAsUBsxT4QrJ8H3CLCj8ZS4GVEXEIWC+pJWmPcm1KehG4EPj9pM5dSbsOGMut4fYrckxdzdE5my77D7fT8vpeXt66l9d27Kd1535adxzgl69s53tvbCo7XzVqRDUTRo1g7Mgaxo2sYWxd4X1cXaFsbF0NI0dUU1dTRd2IKupqqhmZvNfVVCXl1dRWV1FTLaqrRE1V13sV1cnyW8sL7w62t0ozYGYBG4s+twLnd1cnItol7Qbqk/JflWw7K1ku12Y9sCsi2svUH3D3rt7IN362Lq3mbZjbuf9IpbuQGaNrazhz9kTOnD3xbesOt3eyfd8htu89TNvewvu2vYfYtucQbxw8wt5D7ew5WHht3nWAvYfa2XuwnX2H07sup7pKVKkwfyYKF8sKJe9JeXfLbyt7c9uqJLikN8uLFedaacQVh17xumsvPpklZ80csLGXk2bAlIvy0r83uqvTXXm5A7A91X97p6SrgasB5s6dW65KryaOHkHjtLHHtK1ZX8ycMIqJnujuUW1NFTMmjGLGhFH92q6zMzjc0cnBIx0cau/k0JFODrUXlo+WtXdw6EgnHRF0dBZe7cXvHZ20dwad0fX5zfUdEUQU5tKC5D1IlguPxH7r+qKy4vol5Z3JQukvtuI5u7evo9t1kwbh5yvNgGkF5hR9ng1s7qZOq6QaYAKwo5dty5VvAyZKqkn2Ysp9FwARcTtwO8CiRYuOaTb1ktOnc8np049lUzOrsKoqMbKqmpEjqivdlSEvzVMyVgONkuZLqqUwad9UUqcJWJ4sXw48HIU4bgKWSapLzg5rBB7vrs1km0eSNkjavD/FsZmZWS9S24NJ5lSuAR6gcErxnRGxRtINQHNENAF3AHcnk/g7KAQGSb17KZwQ0A58OiI6AMq1mXzlXwArJX0ReCpp28zMKkRD+Zz73ixatCiam5sr3Q0zs1yR9ERELOqtnq9aMjOzVDhgzMwsFQ4YMzNLhQPGzMxS4YAxM7NUDOuzyCS1Aa9Wuh/HYAqFi0uHE495eBhuY87reE+IiIbeKg3rgMkrSc19OUVwKPGYh4fhNuahPl4fIjMzs1Q4YMzMLBUOmHy6vdIdqACPeXgYbmMe0uP1HIyZmaXCezBmZpYKB0wOSJos6ceS1ibvk3qoO17SJkm3DGYfB1pfxizpbEm/lLRG0rOSPlaJvh4PSYslvSSpRdKKMuvrJN2TrH9M0rzB7+XA6sOYPyvpheT/6UOSTqhEPwdSb2Muqne5pJA0JM4sc8DkwwrgoYhoBB5KPnfnfwL/Pii9Sldfxrwf+GREnA4sBr4m6e3P1s0oSdXArcClwELgSkkLS6pdBeyMiAXAzcBNg9vLgdXHMT8FLIqIM4H7gK8Mbi8HVh/HjKRxwGeAxwa3h+lxwOTDUuCuZPku4LJylSSdC0wD/m2Q+pWmXsccES9HxNpkeTPwOtDrxV8Zch7QEhHrIuIwsJLCuIsV/3e4D7hIxQ9Zz59exxwRj0TE/uTjryg8oTbP+vL/GQp/HH4FODiYnUuTAyYfpkXEFoDkfWppBUlVwFeB/zbIfUtLr2MuJuk8oBZ4ZRD6NlBmARuLPrcmZWXrJI8D3w3UD0rv0tGXMRe7Cvhhqj1KX69jlvROYE5E/OtgdixtqT3R0vpH0oPA9DKr/rKPTfwJsCoiNublD9wBGHNXOzOAu4HlEdE5EH0bJOX+R5We1tmXOnnS5/FI+s/AIuD9qfYofT2OOfnj8GbgU4PVocHigMmIiPhAd+skbZU0IyK2JL9MXy9T7T8AF0j6E2AsUCtpb0T0NF9TUQMwZiSNB34A/I+I+FVKXU1LKzCn6PNsYHM3dVol1QATKDxePK/6MmYkfYDCHxrvj4hDg9S3tPQ25nHAGcBPkj8OpwNNkpZERK4fuetDZPnQBCxPlpcD95dWiIiPR8TciJgHfA74VpbDpQ96HbOkWuB7FMb6nUHs20BZDTRKmp+MZRmFcRcr/u9wOfBw5PvitV7HnBwu+kdgSUSU/cMiZ3occ0TsjogpETEv+ff7Kwpjz3W4gAMmL24ELpa0Frg4+YykRZK+WdGepacvY/4o8FvApyQ9nbzOrkx3+y+ZU7kGeAB4Ebg3ItZIukHSkqTaHUC9pBbgs/R8BmHm9XHMf01hL/w7yf/T0tDNlT6OeUjylfxmZpYK78GYmVkqHDBmZpYKB4yZmaXCAWNmZqlwwJiZWSocMGYZI2licsGsWa45YMyyZyKFW/+Y5ZoDxix7bgROSi4y/OtKd8bsWPlCS7OMSR4q9q8RcUaFu2J2XLwHY2ZmqXDAmJlZKhwwZtmzh8It3M1yzQFjljERsR34uaTnPclveeZJfjMzS4X3YMzMLBUOGDMzS4UDxszMUuGAMTOzVDhgzMwsFQ4YMzNLhQPGzMxS4YAxM7NU/H8SZYTTOR5GrAAAAABJRU5ErkJggg==\n", 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"text": [ "//anaconda/envs/python3/lib/python3.6/site-packages/matplotlib/cbook.py:632: IgnoredKeywordWarning: \"color\" keyword argument will be ignored\n", " IgnoredKeywordWarning)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "in_stim.output = WhiteSignal(T, high=10, rms=0.5)\n", "\n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig = sim.data[stim_p][:,0]\n", "\n", "fspikes1 = np.convolve(sim.data[spikes_p][:,0], h, mode='same')\n", "fspikes2 = np.convolve(sim.data[spikes_p][:,1], h, mode='same')\n", "\n", "A = np.array([fspikes1, fspikes2]).T\n", "\n", "d = sim.data[connection].weights.T \n", "\n", "xhat = np.dot(A, d)\n", "\n", "t = sim.trange()\n", "\n", "from nengo.utils.matplotlib import rasterplot\n", "figure(figsize=(8, 4))\n", "ax = gca()\n", "plot(t, sig,'g')\n", "ylabel(\"Output\")\n", "xlabel(\"Time\");\n", "rasterplot(t, sim.data[spikes_p], ax=ax.twinx(), use_eventplot=True, color='k')\n", "ylabel(\"Neuron\")\n", "\n", "figure(figsize=(8,4))\n", "plot(t, sig, label='x')\n", "plot(t, fspikes1*d[0])\n", "plot(t, fspikes2*d[1])\n", "ylabel('$x$')\n", "ylim(-1,1)\n", "xlabel('time (s)')\n", "\n", "figure(figsize=(8,4))\n", "plot(t, sig, label='x')\n", "plot(t, xhat, label='x')\n", "ylabel('$x$')\n", "ylim(-1,1)\n", "xlabel('time (s)');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What about with more neurons?" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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DZILCw4YmyaUVVQHwm0sG8eilQ/Byd1XKcnUV54hI3DqlP5GBXny0/ThjnlrNvzeo1owNTaZz5j2H5v30Dpz6m+uPMfvF9RRX1fPvW8dz9biz3liiJ4CpoUWj/t6ZA7h/pmoN+eCcRGYM7seK5Hykbv+o0dhHbbmqUbdXB0M7dc1ZaKfeHuXH1T+bQZG6lJJVyQXEh/gS6O1++kSLstyZIjS+nm68fMPp/fD3tmTy7PeHSHx8OVvSii3fLGOD2jawYPumo8U8t/wwOWU1AG2Xz0VNUMfsXYBaQXjokkF8eOdkbpgYw5yhYZworSG1oMqyPRqNpm0qzIradjv1GOXU9YO1xox26u1hYJLclrRi4h/7nn0nypg7LOzMk/2GgYtbm8pykxP68snPp/DKDWMwSVr2vdceKWz/ZlIqpx4/vV3BnN1ZJ7nlne0tX989PQE/zzbSKwIilL50q45tLi6CaYkhCCGYPbQfQsAnO45b+O41Gk27tDj1NhtbdkxgFDScUqW3Gg06Ua59msvZQh0vZ3tvayYA4/sH8fv5Z83n5qnu0U4b1qkD+gIwLTGEDalFPPl1MidKa9q/WXGq6irXztJ7eU0DH21XClZf/vICxsb0wcXFglpe9HjI2dXmqbAAL64YFcni3dk8eeUwtQ+v0Wisp8KsR+HI8juoaN0n2BibNN0aHam3R+Ehsz67Y5ndJpNky7ESbpoUw5e/vKBtBxoxGvKSLC6hhfh5cvW4aK4eF8XqQwUUVtS2PbBlP/3c+vSM4moWvLapRdhmXGwHDh0geqISx6hqe3VgUnwwVXWN5Ldnj0ajaZ+KXECAX7h91+tadc1ZaKfeHgZlvqcXV1NZ28hYS1ru4aOUhnNlfofzLRgTSZNJ8vzKIy3qbrUNTZias+Mz1itN6KC4M647WV3PzP9bR1aJKqsbGhFgXWR91r762Qzq56fsem0zuzJLO55Po9GcpiIH/PqpVqr2EGjueq2dusaMdupt0dSglrEdXHqva2xizkvrARgb06f9ge0ky7XFoDClOrV4dzbPLT9ETlkNFz2/lvs+3qMy9jM2QsLp/fT6RhNSSjYcVW1UY4N9ePyyoXx812TrvomI0SBcz9hXb82EuGDGxfahqLKOa9/cys7M0tMPGBqNxjIVuY51gPQJAVcPKD9hnE2abo3eU2+LkjRoqocwO9XczBxtlRU+INSv/YFhStyFvP0waJ7FOf293Pn5RfG8vTGD97dlkZRdTlFlHcsP5pORso342rKWpffGJhMXv7CWAC93mqQk1N+Ttb+bgWtHS+6t8fBRyXx5+9o87eoieP/Oyaw8mM8flx7kuje3Mr5/EIvvmar32DWajqjIdawZi4sL+IerPhUaDTpSb5sCs+a6g5nvqQVKJ/2nF8RZ3rv2CoC+iZCz26p5H798GJt+PxOBEoK5bKTaj8vdu1INMPdDTyuqIq+8liMFlaQVVvHS9aNtc+jNRI6G3H3t7vn7ebpxzfhonlqoHoJ2Z53kUJ7WiNdoOsTRSB3AP+J0Fr2m12OIUxdCzBdCHBFCpAkhHm3j/E+FEEVCiH3mj7tanbtdCHHU/HG7EfY4TGGKWnIOHWz3FFV1jfxnYwZBPu48frkVe/PREyF7h9X1ptFBPrxxy3iuGRfNw/OG0M/fk6CCbRAyiM+PNHLNG1v4ypwQFxPszeUjI7goMdS+byZiDNSUdrjEd92EGDY+MhNQjWs0Go0F6iqhrtwApx5uVT6Opnfg8PK7EMIVeB24BMgGdgohlkkpU84a+pmU8v6zrg0GngQmABLYbb62a4suC1IgJNH2PuStWLYvl5S8Cl68bjTurlY8O8VMhKSPoTTd6uW4ecPDW6RbB4d6EZebRHHMtTzypdqb352lfowbHp7p2FJ4c1OYvKQOG0/0C1A/s8LKOvvvp9H0BipUB0S7a9Sb8Y+AtB8dt0fTIzAiUp8EpEkp06WU9cCnwEIrr50HrJZSlpod+WpgvgE2OUZhskNL77UNTfx7wzFC/T25epyV/7DRk9SxnSzzjljYrxAfavjLQaUMFx7gBcB9Mwc4vrcdPkKtXOS2va/eGk83V/r4uFNYqUvcNBqLOFqj3ox/BNRXqshf0+sxIlEuCmi9LpsNtJVafY0QYjqQCvxGSnminWsdfGx1kLpKVZc97ja7p1ifWkRWySmeXjjceofabyh4+Ksl+NE32HzPK/xTAdjYMAQfD1fW/m4GVXWNhPrbv9rQgru3qgRoJ1nubPr5e1JYoSN1jcYijkrENuMfoY6VBbb3ZNf0OIxw6m15rbM3hr8BPpFS1gkh7gHeA2ZZea26iRB3A3cDxMba0XvYWlrkYe3LfDeZJK+sOUo/f09unGSDnS6uEDUOTuyw675eJzZB+EjenHsJbi4Cbw9X+1q2tkfkGEhdqfb8O3hQierjza6sk1TXNeLblvysRqOBSrNTb3bK9uJvFq6pzIOQgY7Npen2GLH8ng3EtPo6GjgjFVNKWSKlbA7d3gbGW3ttqzneklJOkFJOCA21M+HLGpoz38PsW37fkVnKobwKfj9/iHV76a2JnqjuX19t23UNNephIP5ipiT0ZUKcE+QiI0bDqWKrsmxvntyf0up6Jv/tB3LLLEjaajS9mcoC8ApUK2GO0BKp62Q5jTFOfSeQKISIF0J4ADcCy1oPEEK0fhRdAJjDYVYCc4UQQUKIIGCu+bWuozAFPPyUKpsdpORWADBjsB0PHjGTQTa1K/TSLpmboKkOEmbafk9raUmW63gJ/pJhYVwzLpqqOpWFX1Hb4Dy7NJruSlWB/fKwrWkdqWt6PQ47dSllI3A/yhkfAj6XUiYLIZ4SQiwwD3tACJEshEgCHgB+ar62FHga9WCwE3jK/FrXUZCi9rdd7PvRZJZU4+/lRrCvHbKPsVNUQlqzfru1HF0F7j4QN832e1pL+AgQLioD3gqeXjScZxaNIK+8lo+26S5uGs05VBWAf1jH4zrC0x/cfXWkrgEMUpSTUn4PfH/Wa0+0+vwx4LF2rn0XeNcIOxxGSpX5PnRBx2PbIaO4mri+vvZlnHsFqH11W5y6lGqvO/5icPey/Z7W4uELIYOsyoAH8PFw45Yp/VlxMJ//bs7g7ukJ9gnfaDQ9lcp8iJnk+DxCmGvVtQCNRivKnUllvupLbKc8bFFlHRuPFjMiyoHObvEXQ84eqK2wbnzxUSjLgsRL7L+ntUSMsToDvpnrJkRTWFnHwZxyJxml0XRDpDQvvxsQqYPKoNeRugbt1M+k0H552Jr6Jua+rJq3TIp3IFEtfrraV8/aYt34o+YUhMS59t/TWiLHqDciG948Lhig6ubf2pDObz9Pokk3e9FooLYcGmtP74c7in+43lPXANqpn0n+QXW0I1JflpTDyVMNPL1oBAtGO1BqHzNZ7Y+nrbZu/JHl6iGkT0zHYx0lYrQ6WrkEDxDq70lUH2++O5DHl3uyyTmps+E1mpYGLEYkysFpqVgrZaY1PRft1FvTLIPqY3uk/eWeHAaF+XHL5FjH9o7dvWDALDj8fcf/oBW5KqIftsj++9lC+ChA2LwEPzIqsOXzrFIby/U0mp5Is1M3IlEOVFlbYy3U6p4LvR3t1FuTl3Q6GrUBk0mSnFPOBQNCjGk3OuRylfSSu9fyuOSlgIQRVzt+T2vw9FOa+FZmwDdz/6yBhPipaoAj+VrKUmMgOXtg44uw7xOoP9XV1lhPpRMiddD76hrt1FuoLYfSY6frsW3geOkpquubGBbhQIJcawbNV+Vjh7+zPO7glxA+UjnaziJiTMcPG2cxIiqQnY/PYURUAJ/ttNzpTaOxCpMJVj4Ob8+EH56CpffAf2ZDeU5XW2YdVWbna2SkDiQfOUJtQ5Mxc2q6JdqpN5N/QB3tcOopeSpTfahRTt0nGBJmQNKnYGrnHzT/AOTsglG268Q7RORYlZBjY0QghGDesHCOFlZRqcVoNI6y4QXY+hpMuBN+nwk3fw5lJ+CzW6CxG/QdqMwHNy/wNOg9wxypv7t8K/9ad8yYOTXdEu3Um2leUrZj+X3t4UJcXQSJYX7G2TPudqjIhrQf2j6/4y1w84YxPzHuntYQaX7osSFZrpkR5r31A9m6vE3jADl7YN2z6oH28hfBOwgGzYNF/4LcPbD9311tYcc0l7MZsV0HLZF6mCjlv5sydJVJL0Y79WZy96m+xn62ybseyC7ni93ZXD8hGi93AxuoDLkcfPvBrjZ0eapLYP8XMOo6u5L6HMLOZDmACXFBuLkI1h8tMt4uTe/A1ATfPQR+/eCyF850isMWqNLODS+o7bTzmcp848rZgMomN8qlD2HiJJV1jWxPLzFsbk33Qjv1ZuxMknv1h6ME+bjzh8uGGmuPqztM+BmkLoec3Wee2/C80nqfer+x97QGTz8IHWzzvjqAv5c7Y2L6sCvzpBMM0/QKDi5Rf3tzn1HNUM5m5h+grgL2vN/5ttmCgcIzOzJKGfnnVRTKIGZHqwh9V9ZJnvj6ILNfXKeFn3oZ2qmD6qFenGqXU0/KLmP20DD8vdyNt2vqfeATAt8+dHqfMGsr7HhbLc+HDjb+ntZgR7JcM6Oi+5CcW059o8lgozQ9HpNJZbqHDoER17Y9JnIs9L9Q/Y+czzXbVQWGROq1DU38canKByqUfQjhJJPignl7Yzrvb83iWFE1V/1rM8VV3SDPQGMI2qkDZO8CpM06zFV1jRRV1hEf4uscu7wC4MpX1VL3x9fDltfg4xtULf0lTznnntYQOVa9KVXYrmA1a0g/ahtMjH96Ne9uynCCcZoeS+oKKDoE0x6y3HBp7C1KOtnWboedRUON2h4wIFJ/a0M6qQVVvHXreMYOH4JXbRHPXDWC2oYm3F0FD88bTEOTZGWyLnXrLWinDqoXOQKiJth0WWqBqrlOcJZTBxh6BSx4Tdm46nEIjofbvlYOv6uIHKuOdkTr0xJDWDA6ksq6Rp76NgV5PkdTmvOLnf9ReS8jrrE8bsgVKrP8wBedY5ettAjPOB6pr04pYFJ8MHOHh+MTHAmVBQzq58dfrxrJI/OGcO+MAUQGerE5rdjhe2m6B9qpA5zYpqRhbXSUKw7m4+4qmDqgr5MMMzPuVngkAx48AHevg6D+zr1fR4SPVHX0di7Bv3zDGP5+zUgAPtiWZaRlmp7KySw49iOMvRVcO2gu6RWgtB4OLoGmxs6xzxZahGccj9RLquqICfIxzxeucm1qy7h+Qgw/n56AEIKJ8cHszjqpH6B7Cdqpm5rU8ruNS++7s0p5a0M60xND6eNjR+90W3H3UsvuRpXAOIKHj9rXtCMDHsDVRXDd+BhmDg7lmW8PkVZYZbCBmh7H3g/Ucewt1o0fthBOFasSt/ONZuEZB526lJKS6nr6mtUaT6vKFZwxbnz/IAoq6sgp030XegPaqRcdVtmyMVNsuuyRxfsJ8HLjnhkDnGTYeU7kWBWp2/n07+IieO6aUdQ3mZjz0npKq+sNNlDTY2hqhL0fqvbC1jYuSpihVpPS1jjTMvuoNGb5/VR9E3WNJoJ9zU69+SGh6sz983GxQQDsztJVJ70BQ5y6EGK+EOKIECJNCPFoG+cfEkKkCCH2CyF+EEL0b3WuSQixz/yxzAh7bOLEdnW0IVLPLavhWFE1v54ziIlxnVwnfr4QORaqi6DCflnOsACvls9nv7iOhiadEa9pg8yNSsXQFqEln2CVI3M+OvWqAhCuqrLFDkwmyec7T5CUrZq3tDj1diL1IeH+eLu7svZwId8k5epl+B6Ow05dCOEKvA5cCgwDbhJCnN2QfC8wQUo5ClgMPN/qXI2Ucoz5Y4Gj9tjMiR1K5CUozupLUnKVLOyYmD5OMqobEGG/slxrPr5rMgAnTzXw6pqjjlql6YkkLwEPP6UaZwsD5yj1uerzTIilKl+J51jK4LfAnuMneeTL/dz8tgpIBoX5qxPtROpuri4Mjwxg6b5cfvXJXpK0omOPxohIfRKQJqVMl1LWA58CC1sPkFKulVI2t1DaBkQbcF9jmHS3kpq0Ya/6eKn6VuL6+jjLqvMarlsOAAAgAElEQVSf8BEq2rAzWa6ZCwaGsPWxWUyKC2btkUKDjNP0GJoa4NA3MPgycPe27doBswAJmRucYprdVDomPNNcc+7v5cbfrxl5Orjw9Ad3n3MidYAHZidyUaJaGXhjXZrd99ZYyeZXYd/HXXJrI5x6FNC69Va2+bX2uBNY3uprLyHELiHENiFEu43BhRB3m8ftKioyUGY0apySl7SB46Wn8PN0O73s1Rtx94Z+wxx26gARgd7EhfhQUqX31TVnkb4Oak7a1144YrTqj3B8u+FmOUSVYxKxJeb8k9W/uZgbJsaePiGEelioOrcmffqgUD64czI3TYphQ2qxXoJ3JqYm2PQyZGzsktsb4dTbCnHb/IsRQtwCTABeaPVyrJRyAnAz8IoQos3MMynlW1LKCVLKCaGhtumzG4nJJFmdUsDomEBjeqd3ZyLHqAx4A94gQvw8Kamu0282mjM5+CV4Bpqjbhtx84DoCXB8q/F2OYKDkfpJs1Pv49OGiqV/RJuRejNxfX2paWiiqu48LPXrKeTsVg+iiXO65PZGOPVsoHVKajSQe/YgIcQc4HFggZSyRbNQSplrPqYD64CxBtjkNHLLa8gpq+HSERFdbUrXEzkWTpXAyUyHp+rr50lDk6SiVr/ZaMw01sHh75QAk5unfXPEToH8/UoK+nygqVElmDrg1EurG/D1cG27gZR/25F6M6H+6udYVKllY53G0VWq8sKeB1EDMMKp7wQShRDxQggP4EbgjCx2IcRY4N8oh17Y6vUgIYSn+fMQ4EIgxQCbnEZGcTUAA/sZ2Ga1u9JcMWCAHGeIudb2f5szHZ5L00PI2KjKTYct7Hhse8ROAWkyS0GfB1QXAVI5XzspqKxtcc7n4BduMVLv568qTrRTPwspoTQD8g9Ao4PbgEdXQcxk1RK4C3DYqUspG4H7gZXAIeBzKWWyEOIpIUTzZvULgB/wxVmla0OBXUKIJGAt8JyU8rx16tknT/HQ56rvulOlYbsL/YaprOQTju9ZzhrSD4CX16S2VBdoejmpy1XiV/x0++eIngQIsxT0eUCzRKyf/XvqxwqrSAhtJ6jwD4P6SqivbvN0dJBKNtx9XNest1ByDN6ZC/8YA29Og5eGKElie7YCy7NVx8/ES4y300o60Fu0Dinl98D3Z732RKvP29xckFJuAUYaYYOzkVLy5NfJFFXW8cDsRPq1qrHutbi4qj1LA94w/b3cuXNaPO9syuDBz/ay6jcXG2CgptsiJRxZAQkzbc96b41XAIQk2q1+aDhVjknEnqpvJL2ouiWT/RyaHxYq86HvuelJ/fv64OXuwvMrjjConz9zhhnT/rXbUnIM/mN2T/OeVaWGe96H736rOmJe9aZqg20tBxar4/CrjLfVSrSinJUcKajkh8OF/PaSQTx0yaCuNuf8IWYyFByEOselXh+6ZBCLxkSSWlDVkgyk6aUUHISKbBg83/G5IsY4rKdgGC3NXOxzph9tO059k4m5w9uJ9JvnrWp7CV4IwRu3jAfg4x3H7bKhx9BYD5/doqoG7loDU++FkdfCrUth1p/g4GL48k7b+gcc+AKiJ0JwgvPs7gDt1K3kq71KOe3q8edPif15QcwktWeZs9vhqXw93bhpkirRGfv0apYfsL21q6aHcGSFOibaKDjTFpFjoDIXqs4DHYRmZ+vbz+ZL6xtNLN2Xw9CIgPaVLFtH6u0wc3A/bp3Sn23pJdQ39mIVxy2vQmEKLHrjzFUNFxeY/juY9zdI+Rq+e8i6pfiCZPUwOvI659lsBdqpW0GTSfLh1iwuGRZGVB8HlgJ7IlETMHLPcnQrlb5Pdp6wMFLToznyPUSNdyihrAWD1A8NoaoQvAJVgyYb+fuKwyTnVnDPxRaiwOb693Yi9WYuSgzhVH0Te3rr3npNGWz+Jwy+vH2lwqn3wUW/hT3vwbrnOp5z+5tKF2HEtcbaaiPaqVvBsaIqquubmNfekldvxrsP9BtqSLIcgJe7Ky9cO4qoPt5sSC1ib2990+nNVOar7mqDLzVmvohRgEDm7mX5gTxqG5qMmdceqgrt2k83mSRf78vh8pERLBxjQdvLOwhcPSxG6gCjotXDc6/tkLjtDagrhxnntCo5k1l/gjG3wPrnYNe77Y+ryIWkz2D0jeDr5FbcHaCduhUcLVB/+MMibOu33muIngjZO8BkzFLedRNieGD2QACu+tcW7v1oN+9sytDCNL2F1JXqOMggp+7pj+w7kNK0Hfzyoz08/tVBY+a1BzudenF1HcVV9UyK76CBVIuqnOVIPdTfE1cXQX55rc22dHsa62Dn20p6OGKU5bFCwJWvqm2g734Lh75te9yPzwASpj1ouLm2op26FeSVqz7Eeum9HWKnQG05FB0ybMorR0fywKyBXDMumu8P5PP0tynk9cY3oN5I6goIjIGw4YZNua0mhroTqrf6sqScrovWqwpUhrWNVNQ0AO2oyJ2NX1iHkbqriyDM37N3/k8d/laJZk2807rxrm5w3X8hchws/pnKim/NoW9h30cw5V6bGoM5C+3UrSC3rBYfD1cCvA2pAOx5xE1TxwzjGmf4eLjx0NzB/N91p5+k8yt64RtQb6OhBo6thUHzbWqyZIm6xibWlEcQKUqZHStoaJIczq9kxcF8bvnPdk6Unup4EqOwM1IvNzv1QG8rnLp/eIeROkB4oFfnfu/nC7vfg8BYSLBB8c3DF27+HPrEwodXw5Z/QlEq7HxHOfqIMTDzD86z2Qa0U++A/dllvLs5g4hAL6313h59YiEo3lCn3owQgm9/pR4aCrVT7/mkr4fGGmNK2cx8vS+Xw1JVVTw1VUmrLnp9M/d8uJtNacW8+kMntfytr1bCMHZE6jY5dSsidYDx/YPYkVlKWuF5IqHbGZTnQMZ6GHuL7a1vffvC7d9A7FRY9Ud4faLKjI+eCLd+Zb+UscFop94Bv/hAlWrdMDGmg5G9nPjpkLnJtppOKwkPVJnCOzJO0tDUi0twegOpy5VKYdxFDk2zP7uMhz7bx9rDhTyyeD+NfYcAEF6bfsY4TzcXVh7M75zSruaSus6I1GtKO5Q7vX5CDH6ebjz42XlQFdBZpHytjiOuse/6gAi4dQn8YiMsehPuWAE//RZ8Osh16ES0U7dARW0DeeW1PDBrIHdPb7N5nKaZ+OlKpzs/yfCpg308mBgXxLubM/jJ29upqe/C7GWN8zCZVJLcgFkORz2vrjnKkr053PE/1Zfg4nHDwTsY16JDvHP7BC4fGcFbt47ntZvHUVnXyI6MUiO+A8u0OHXbIvWskmp+85n6v7I6UocOl+ATw/x5YPZADuZUtPRo7/GkLIWwERAy0LF5IkbBmJug/1TDtomMQjt1CxwvUftNQ3XWe8c063M7YQnexUXw2d1Tef6aUezMKmXa339kqVkMSNODyNsHlXkOlbJV1jbw+c4TrEstYsHoSOYOC+OJK4bx8+kDVK+CwkPMHhrG6z8Zx9zh4UwbqORWb3lnO0P+tNy5JZR2SsR+u1+JMCWE+NLHx6PjC6ysVQcYERkIwMrkjpfruz0Vuar0dtiirrbEqWinboGtx0oAGKA7snWMXz8IHQrp65wyvYuL4PqJMXx81xRC/T158LN9HMrTjV96FKkrAAGJc+2e4vdf7ueRL/fj4+HKQ5cM4q3bJvCzafG4u7ooPYXCQ2eog3l7uPLwvMEA1DaYeHb5YUe/i/axU01uy7FihoT78+PvZuDqYkVU2PzQYMW++uiYPvh7ufWO7ojNpZJDr+haO5yMdurtcKL0FC+uPsK0gSEkaqduHYlzIHMz1DrP2U4d0JffzVVvwu9tyXTafTRdwJHlSnbYt51mJR0gpeSHQ4UMCfdnw8MziTu7k2LYMJWoVp59xsv3zRzI7j/OYcHoSPZkneRUvfF5IYBafhcuNn1/tQ1N7Mo8yYUDbfiZtETqHTt1X0837pwWT1pRlfO+7/OFtDWqVDJ0SFdb4lS0U2+Dk9X1TH9hLbUNJv5w2VCd9W4tgy8DUwMc+8Gpt5kzLIy4vj6UnWpw6n00nUh5NuTvd2jpvaiqjrpGEzdPjiXIt41l6n7D1LHwXD2Fvn6eLBgdSaNJkuys1r9VBeATorobWkl6UTV1jSbGtJJP7hDfUPXwYKGvemtGRQciJew7UWb9PbobjfVqFXHgHKfvgb++No1r39hCQRdV62infha7s04y7pnVSAlPLRzOsEi9n2410ZOUTGVzMw4nEhXkTVFvSe7pDaSa/2YGX2bX5TX1TS011zFBPm0Pao7QClPaPD06pg9CwJNfJzsncc6OGvWMYtUXPSHUt4ORrXBxVY7dikgdYHJ8X9xdBetTi2yyrVtxYhvUVzm9z/n29BJeWHmEXVknWbw7u+MLnIAhTl0IMV8IcUQIkSaEOEdMVwjhKYT4zHx+uxAirtW5x8yvHxFCGNCSyTGueWMLUqqGB7dNjetqc7oXrm5qP/ToKqeUtrUm1M+Tokrt1HsMR1YorYMQ29saf77zBEOfWMHX+3IBGBTu3/ZA7z4QENWuUw/19+TphSNIL67ihre2crTA4PptO9TkMoqVRHX82VsJHeEXZnWk7uvpxpDwAJJzenCOytHV4OJ+OqHXYE5W17NkTzZ/+SaFqD7eDArzY3dW1/StcFgiTQjhCrwOXAJkAzuFEMuklK3/c+4ETkopBwohbgT+DtwghBgG3AgMByKBNUKIQVLKLqlZat3cwNvd+iUyTSsGXwr7P1Na8P0vcNptwgO9OV6aS0VtAwFeVpT5aM5f6qqUIMjEn9u1NPrMd+qt5v2tWYyKDrQs5xw6GIqOtHv6lin9mTE4lGl/X8uqlAISw9p5QLCHqkKb93PTi6qJCPTCx8PGt2r/cKsjdYDB4f6sO3IetKZ1Fmk/qPIzTwN/n8CB7HLe25rJnqyTpJtXVe6dMYA7Loynb1tbQJ2AEZH6JCBNSpkupawHPgUWnjVmIfCe+fPFwGyhNqoXAp9KKeuklBlAmnm+TiOzuJo9x0+yLCmXOS+tb3n9kfk9O5nCaQycA25ecHCJU28za4iKeO401yFrujHpa6Gp3i4VucLKWipqT68K3Tkt3vIFIYOgJM1if+zoIB+CfNxbej4YgpR2RerpxdW2R+lgU6QOMCTcn+KqeuPr1Q8shk9/Amv+DKc6QQugLapLoDAZ4i82bMrsk6c4Vd/Iqz8cZfHu7BaHDmobJ9TfExdrKhWcgBFi5lFA68bX2cDk9sZIKRuFEOVAX/Pr28661kJfQeP5xw9KpKI1980cwECd8W4fnv5Ktzt5Ccx/FlydE0VPjAtiakJfdmSWcrK6vu3EKE334Mhy1WM8dqrNl772Y1rL517uLh23R+47UO2tVuZBQGS7w8ICvMgvN9DB1ZxUSaQ27KlLKUkvqmLBmPbtbBf/cKguBFOTVYl5g81bFkfyKwkZaJDc6bq/w7q/qS2PI9+r3/NPv7O7usFujpsbsDT3qLATKSWPLTnA/uxyUlqV0wZ6u7co/gFMie/a1qtGOPW2HkfOfgxub4w116oJhLgbuBsgNjbWFvss8vPpCS3/NIPC/An29cDDVecPOsSoG5Ry07G1MMj+mmNLCCF4csEw5r+ykbFPryY6yJslv7yAfgFeTrmfxkmYmlT98MBLbH4AzC2r4f2tWQR4ubHp0VlIE3h1tG0WkqiOxakWnboQgjWHCiisrKWfvwF/U9XmJDQbIvXS6noqahuJD7EjwPALA2lS9/Xv4EEHGB4ZiKuLYMmeHNvK59rj+DZY9yyMuhEW/QuytsCH18A3v4YbPuxcFbaszWr1MHKs3VMcya/k7Y3p5yS/ebi68N0D03h3Uyb1TU0E+3gQaE0nPSdihPfKBloLo0cDue2NEUK4AYFAqZXXAiClfEtKOUFKOSE0NNQAsxVDIwKYMbgfMwb3I7KPN17url22bNJjGDgHvINh7wdOvc2Q8ACuHqsWdrJP1rCrixJTNA6QsxtOFdtVyvbx9uMALL3vQgK83K17M21OxCu23MRlqDly/eGQQfvMdqjJNS/pJtiz/N7syK0QoAEI9vXgjgvi+GpvtuPbDlLCysdVhH75i2qlIP4imPmYanua5tyS13PI2qyartgpPSylZN4rG1i8O5tQfzWHu6tg+x9ms/bhGUQH+fDElcN4ZtFIHjJraHQlRjj1nUCiECJeCOGBSnxbdtaYZcDt5s+vBX6UUkrz6zeas+PjgURghwE2aboSNw/VBenwd6orkhN57ppR3DRJPRcezu9F3aZ6Cke+Bxc39SBoA3WNTXyy4ziXDAsjIdSGSNY/QjWMKUmzOOz/rhuNh5sLa1IKSC+qsjjWKuxo5rLvuKobHxJhR3KXn/VSsc0sHBOFSUKSo/XqmZsgZxdc9BvwbPW7mXKfanm69q8WcxoMpbYc8g9A/wvtnmLP8dM/jzdvGce2x2az8ZFZhAV4WU7K7CIcdupSykbgfmAlcAj4XEqZLIR4SgixwDzsHaCvECINeAh41HxtMvA5kAKsAO7rqsx3jcFMvFMt/+3+r1Nv4+HmwrNXjyIh1Jcj+T24JKencvh7tZfubYO4CvBtUh4l1fXcNrW/bfcTQu2rF6daHObiIogJ8uaHw4Vc/cYWTCYHnVBLpG7d8vvxklP89ftDxIf4EhFoh+Pwt14qtpnmWvgv9zj4IL7nfZUjMeaWM19381COPncPnOik2O34dvU+5EAlzvrUIlwEHPzLPMb3DyY80Kulc+T5iCGbx1LK76WUg6SUA6SUfzW/9oSUcpn581op5XVSyoFSyklSyvRW1/7VfN1gKeVyI+zRnAcExSkhkZ3/capsbDODw/xJLTAgotJ0HoWHofgIDDu7WMYyB3PK+de6NAb282tpyGITIYlQbDlSB/jNJWqpvuxUA98dyLP9Pq2pKgBXT+XsrOD9rZm4uQieu3qkffezslNba3w9VYrV6pQC+yVj66vVCt2wReDehuMbeT14+MOud+2b31ayNqn69OiJdk+RkltBQqgffp5GpKA5H50RpnEeFz+ssn63veH0Ww2LCCCjuJpjRiyVajqHlKWAgKFXWn1JbUMTt7+7g/zyWh6ZN9g+Cee+iVB+HOpPWRx2xahI1v5uBgBvrDtm+31a06wmZ6W9KXkVDI8KZHKCnZnUbp5K3dGGSB3gsUtVKW9euZ0Sp4e/h4ZqlSzbFp5+MPoGSP6qc0rcsrZA1DjwaEdlsA2q6xoZ//RqVibnk1pQyfb0EsbaItPbxWinrnEekWNh8OWw9TWbambtYfZQFZnMeWk95VoTvnuQ8rVaerciO7uZrekllFTXt7ROtYvmDPjSjh11fIgvl4+KIN9RHe+qAvCzPsH3cH4lQxwVvvELtylSBxgZrVYSCux16ilLVYKcpfLEcbdDU535oc6J1FdD7l6b99PXHCqgpLqeX3ywm7kvb6C+ycSttm7zdCHaqWucyyVPQWMdrPi9U28zLDKAh+cNRkr4YveJji/QdC1FqUqudbhtva13Z57E1UUwMS7Y/nu3lLVZzoBvZlRUIKXV9Y49LNqg+15Z20Bpdf25XeZsxT/M5kg93FwSmmuPU29qgPT1Sl/dxYJrCR+pVkucLFDFiR1garTJqZtMkudXnFYcdHURrHhwOqOidaSu0ShCBsL0h9Vy2/7PnXqr+2YOZGxsHz7ZcRzZWdm11iKlStpZ/7yq1V3xGOz5wOkrGOctKV+r49AFlse1orahia/25jAxLqhl/9cuggcAwmqn3qzollFS3cFIC9igJneiVJWUxQQ7mFltR6Qe2cebAC83FtvzYJy9U7W2HTDb8jghYMTVqtTMmX//WZtVt7rYs7XQ2udgbjk5ZTXEBHtz8aBQNv9+ln2Kfl2Iduoa5zPtQfW0vOxXqi7Zidw0MZZjRdVd1kyhTYqOwDtz4d25sPZvKpFo9/9g2f3w0hD46Drl8HsTKUshZgoERFg1vLqukT8vSyanrIb7ZyY6dm8PH9VXu8Q6p96cFd7cXMVmmhqhutjqSD3dfJ92u81Zi3+Ycuo2POB6ubty29Q4tqWXsivTxj3vtDUgXCHBCjnW4VerrPRDZ1c/G0jWFogYbZPe+5pDhbgIWHbfNN772aTzOsu9PbRT1zgfV3e47j0Vqbx/lVMd2OWjIvD1cOWTHefJEnzqSvj3xVCaroQ4Hs2Ch9PgsRz45VaY9pB60Hl3LnxwFeQldbXFzqc4DQoO2rT0/oevDvDpzhPccWEc0xINUDwLGWh1pB4T7IOLgIwiOyP1U8WAtDpSX7Yvl1B/T4ZGONj22S9caerX2PaAO3OI2vt/6tu2u9m1y7EfVZa5NRn+/YaoFZNUJ7VpbqiF7F02Lb3XNjSxKjmf8f2DurXstHbqms7BL1TpPvsEw/8uh62vg8lk+G18Pd1YMCaKL/dkc9HzP1Jd59wWsBZJXwef3aI6g/1yM0y86/QbnosLhA2D2X+CBw+o3IPcveoBYMkvoOx419ntbPZ/qpZFrSxle3HVEb7el8vNk2N58srhxtgQnAClGVZFsZ5urkQH+ZzRtMMmbFSTS86t4MIBffFwc/Dt2Y5adYDx/YO5KDGE3DIblOXqqiBvv1KOs5ZB8yFjg7rWaHJ2q2Q8K5z65rRiLnzuR4b8aQWH8ytbkm67K9qpazqPPrHw8x9Vz/WVf4B3LlFP0wbTLEhyorQLpWPLc2Dxz1Q0cutXljO8PXzhwl/DA/vUMfkr+OcEWPUnm6Os8x6TCZI+g4QZFrXXm9lz/CSvrU1jakJf7ps50Dg7ggdAXbnVZVWRfbz4dn+efclyNqjJnapvJKeshgG2qOS1R4uqnG1OHWD+iHCKq+rZcqzYugtydoFsgtgp1t9k0Dy1kpCxvuOxtpK1GRCq3WoH/PLD3eS0eoC5amyn9hQzHO3UNZ2LTzDc+BEsehPKT8B/ZsPSe1V7RIMYGhFA8l/m4enmwrJ9bbYScC5SwtJfqiXAGz5Q37M1ePeBS/4Cv9oNI66BLf+EV8fAltdUBUFPIGuzqhEffbNVw/9v5RH8PN34x01jjZXkDE5Qx9J0y+PMjIsNAmDa33/kaVuXpW1Qk0s3L/EPMKJLZIv+u+3JaNeMi8bfy41vkqz8/zm+HRC2ibzETgXPALVFZTRZmyFsuKrVt0DrhNol917AD7+9mLBu3hRKO3VN5yMEjLlJOa8LH4T9n8FrE2D/F4bdwtfTjavGRrH8YJ7jEp+2cmCxij7mPn26fMoW+sTAVW/APRshajysevz0z8cJWxadStInSlFsyOUdDj2SX8mWYyUsHBPZ0kjDMGx06r+ek8hFiSFU1jXyzqYMGpts+D00O3Xfjp16s3iSMZF6s6qc7ZG6l7srk+KC2ZFhZbLc8a3KiVqpmAco2dgBsyB1JU1NJooqDXpwbWpQ5WxWLL0v3ZdDRW0jL143mnGxQcb83LsY7dQ1XYenv4pM79mk9LiX3AXLf2+Y4xob24dT9U1klVpWDjOUhhpY9UclvDP+p47NFT4Sbl2ilu+9AtXP59XRsO45OJlphLWdS321KmUbvqhDha/6RhOPLdkPwKwh1rcrtZqg/oCw2ql7urnyzu0TW5ZmK2ptyNWoKlIRqRWqZscKq3AR0L+vg5nvoNTbPPzsLhsbHO5PVsmpjh9gTE1qGy3G+tKxFgbNh6p8fvuP95n41zXGOPbcfdBwyiq99/9tziQ6yJvLR1lXhdEd0E5d0/X0Gwp3LIcp98L2N1XpmwGOfXikihpWp9geqdjNrv+qyGjuX1XLSSMYMAvu3gDX/Q/6DlBO/dXR8MaF8MPTkL27zZ/XN0m53P3+LmrqT/dIklKyPb2EBvMbddmpemobOqmH0sElUF8FYywvvR8vOcX8Vzaw53gZz149kllDnJC45OapytqsUJVrxsPNhYvMmfflNTbsrdtQo749o5Qh4QEd94W3Fv9wuyJ1gLi+vjSaJEcLO0hkK05V9ekxk2y+x3e1wzFJQWzxRgCW7s3h3+uP0WSS1DY00WTPKlvWJnVsJ1Lfd6KMJXtUX/S88louHBBi3M/7PKB7KNRrej6ubjD/WRXRrH9OJVHNetyhKZtLgv72/WGGRgRwUaL1Mp120VADm1+BuIsgzv5Wj23i4gLDr1IfZcchZRkcWQ6bXoaN/0etZ188h85HDJoHCTNp8vDnV5/sBeC7A3lcOTqCn7+/mw2pRQD89II4Zg7pxz0f7GbR2EievXqUsfaejZSw4y0IHWpZQhT41Sd7SC+uZnR0IDdNinWeTX0TrI7Umwn0Vj3bbXPq1qnJ5ZapxM57Lk6wySaL+IXbHakP6Kfq83/3RRLfPWAhqz13nzpGjLH5Hh/uP0WkHMAM1338o+lq/vr9IQDSCqv4YrdyvEvuvaAlp8EqsrZAyKA2ZXmllCx6fTMAV46OpKiqrlvWoltCR+qa84sZj6pe7BueV07LAVxdBM9fq5zVw1/sd35EuucDFZVd7FxJXPrEkjX4Dky3f0vjb4/yGA+w8tRgTu3/Gj6/DdPzCZS/dQVXumzBgwZ+90USV/5zU4tDB/jflkxuf3cHNQ1NfLLjBMsP5PHBtixeXXOUI87oS5+9E/L3w6Sft9vUpK6xiQ+2ZpKUXQ7AUwtHGG9Ha4I7y6lbF6n/5ZtkBHDjRAMfZPzD7I7Ux8UGMW1gCMm5FSx8bVP7Ko15+8Dd16r8kbTCKq55YwvLknJJya1gW0YJ5dEzGOtyjEemh7Y8iDc7dIA/LT2IlJJ8a6RrmxohayvETWvz9HtbMls+/3THcaSECO3UNRonIgRc/pLaT172gMOdnK6fEMPHd00mv6KWL3Y5UZDGZFJbB9ETbavVtZKK2gYe/iKJpBNlvLn+GBe/sI4nlyWzOdfEJ7VT+HXD/Yw69QbX1T3BW/Xzqc49wj89XmOP7wM86LaY/AIVrT1+2VC+uf/0G95L148G4Jcf7eFPSw/y8ppU5r2ygbxyG+A5FW4AACAASURBVGqUrWHH22oVpr3uXcAji/fzp6+TAfj07imMdnZnrOAEVTJow99Ys1NP62hJujVVBVYlye07UcYVoyKICTZgP70ZByJ1IQSv/2QcAEnZ5axv9VB4Brn71P+rhe2musYmCipq+dn/drI76yQPfLKXy/6xESkhdvIiBJJ7ozNZ/uuLuH/mQEZHBzJjsIq0k3MruP7fW5ny7A/szy6zbHRektoKaMepv7n+9EPcn75Opo+POxcNcvIKXifjkFMXQgQLIVYLIY6aj+eskQghxgghtgohkoUQ+4UQN7Q69z8hRIYQYp/5w/b1G03Pw80TFv4Lakph9RMOTzd1QF9GRAWwZG+OAca1Q8Z6tT878eeGT51ZXM2jX+7ni93ZLHx9M88tPwzAJzuO85dvkokI9OLTu6fw/HXjiBk7m+cab2J6/cs8EfA03gMu5EG3JWz0/DX3ui7lrqmRjIgKYHJ8MD+9II6rx0UzPPK0ctlgc2ewrcdKGP/0auIe/Y5VyfmkFVbZX0VQdhySl8CYn6jkrTbIKqnma3P54XNXj2SKvS1HbaElAz7D6ktign0I9ffkq73ZHQ8GlRxYV9FhJ7qa+iYKKuqMz772D1OtUOvsW30J9HYn9ZlLCQvw5KPtbQgimZrUCkyk5bfuPy9LYfLffuB46SnumzmAQWF+eLi58Js5g0gYeSH4hsLRVQD8bt5gvr5/Gv+7YxJPL1KrNTszlV7DxqMd1M1nqr154s59sC6qrCO/opZrx0e3vPbg7ERjSyXPAxzdU38U+EFK+ZwQ4lHz12evPZ4CbpNSHhVCRAK7hRArpZTNj1wPSykXO2iHpqcRMQom36OU5ybfA+H2L8UKIZgc35d3NmWQWVztePerttj1DngHW62SZtWUmaWYJFz/761nvD4yKpAFoyP56/eHSC+q5vNfTGVSvKqFv3pcFE8tHMFP393BrFmTcR38AOTtx3P1MzyS/jm8uReufIXPfnE6knnzlvF8uD2L+cPDGRXdh2l//5E/Lj3IKXOC3d0fKL3+uL4+fPaLqfh5upFRXM2IKCvLlzb/AxBwwf1nvHwkv5J5r2zg6/suZKF5n/MvC4Zzw8QYe35cttO6rC16vFWXeLm7snB0JP/ZlEFDkwl31w7iomY1N3/L2dWZ5mYxsUZkvbfGr1Wtug0a6K3xcHNhSkJfdrZV3lZ8VGWad7CfvuJgHgCh/p7cO2MgD88bcuaAgZdA6nL1kNAq4p8ztB9/WgrTB4VSWl3H4t3Z3D09of2fe+ZGCBl8znaHlJI/Lj2AECqf5ObJsWw9VsJPpnSflqrW4ujy+0LgPfPn7wHniDlLKVOllEfNn+cChUDPWu/QOIfpv1OlXGuedHiq5sjv9bVpDs91DhV5cPh7lQvgbsz+3H83Z3Dtm1vPcOiT4oO5bnw0/7xpLJeZS3Amxwe3OHRQDzB+nm4s/uUFzBhsfmOLGIXXbZ/DT75UCl7/u1yVDpoFbWKCfXjs0qGMjQ3C1UVwx4VxLQ7979eMbJk7s+QU93y4m6nP/sAV/9xkXY5CZQHseV/pEgRGn3Hqw21ZAC0OPSHUl5smxSLa2XM3nKA4dbRxX72/+aHwlx/u6Xhwi1O3HKkfzq8AYEi4g3rvZ+Nvf616awaH+5NbXktF7Vm5BHnmJDkLkXpaYSW1DSYm9A9izW8ubrvDXuIctRVyVsOniEBvNj4yk9dvHsuDsweRUVzNy6tT297fb2qA49va3P7KLa9lZXIBv5o5kBFRgYyLDeK+mQM7fijrhjgaqYdJKfMApJR5QgiLG0dCiEmAB9C6juSvQogngB+AR6WUPUQ6S+Mw3kGqw9uaP6t9uw6W+CwxZ2g/Qvw8+GJ3NjdNjrUtm7YjDnyhJDLH3W7IdAdzyltUy+YPD+ePVwwlItAbKSVurd6Evr7vQtv2XxPnwL3b1M9z+5sqS7i5TK4Vi8ZEsfxgPleMiuSGibFE9fEhPtSXf68/xvtbs1rG5ZbVkNDGcnFtQxNJJ8qYnNBXZeebGpTIUCuklGxNP60iOCTcn+W/vqjzHDqAuzcERNvs1GeY92DXHCrgx8MFlkvuKlWE2lGknpxTgaebCwNCDV5FaonUHXTq5m2ZowWVjO/fSiExdx+4+6hs8zZoMknu/3gvvp5uvHLjGAJ93Nu+wYBZqh/A0VXnlMY1/43PHtqPRWMi+de6YySE+nHt+GhMJomLi/lvJi9JlUy2sZ++9rCS6p3hDM2D84wOH1OEEGuEEAfb+LBpnVEIEQF8ANwhpWwuqn0MGAJMBII5d+m+9fV3CyF2CSF2FRW1k7Ch6XlM+JlSINvyD4emEUK09EV+/KuDRlh2mgOfQ+Q41fnLAQora8kvr2V1ikpsSnpiLm/eOp7oIB9cXcQZDh1gdEwfgm3tJuXhA5c9Dzd+omR635oBqavOGNIvwIuv7r2QO6fFAzAtMYSoPt7cc/EAglq9KeeU1bAsKZfXfjzK3e/vasmuv+u9Xdzw1jaOHdoLO9+Gcbed8+Dwr3XHSCus4rKR4fzi4gQ+umty5zr0ZoLjbXbqMcE+JD0xF4BdmR1o81sZqSfnVjAk3P+c37HDtETqjvUtH2R26kfyz0oQzD8AYSPOSZJraDKx4mA+H+84zuH8Sv68YBjRllrJegcp8Zqjq9odIoTgpevHMDIqkN99kUTco9+R8IfviXv0Oxa8tonao+vUwP7TKDtV36KG9//t3Xl8lOXV8PHfSUISAlnIBoGwJYRA2BQD4gayKYt1xa11qRWp+jx9tVqrVqu279MW24+vbZWnFq0Way1a1IIrlsW6sQjIvu+EnQBhh5Bc7x/XPSGESWYy90wyMznfzyefyczcc+fiJpkz13bOhNnrefJf9m++e7BHQsKQz566MWZYbc+JyG4RyXF66TnYoXVvx6UAHwJPGmPmVju38zGWkyLyGvCTOtoxEZgIUFxc3MB5P1WjSUyF4rtgzosw5Of2TThAv7/lfL778lw27TtCRaUhNiYIQWTPavvGNmK8u9McOkH/X8+sut+1dcvaezXB0G0UtPkcJn8X3rwJhj1ji8nUEVjbpjXn26euoOTAMS59djZTF+9gSrWtR/M376dLVsuqIjob33yI/ObNYfATrN19mOnLd9E9J4X731zEqdOVDOvemgnf7ds4wdwjPQ9Wf1Dvl6UmNaNjRhJbfWUrPLwT4prXmT61stKwcuchRvWqO/AHJDENYhNc99TbpTWnVVIz3pi7hVmr9zCwayZ3DOgIe1Z4XUfywsx1/HGWnerq3zmd0b38yNhWMBxm/tK2tZYPQTExwiNXFnLHq/PPenxpSRkbjn5M++R8Xv56Py/Mss9PvP0Cfjd9DQBX9mhN8/joSTJTG7cfC6cBnjHHO4GpNQ8QkXjgPeB1Y8w/azyX49wKdj4+yF0oFRUG3AcSa7dFudAurTkPX1HIifJK/jjTv1raPi1727at5w0Bn+KnU5acFdABrigKwRt8TWkd4AfTbdrWGU/DO2PhlO+Uum1T7WphT0DPc0ZADh4rrwrow2MWMDx2EbvP+y9u/vsGrnj+c57791rGvr6AU6ftQN2VPVo3bkAHG9SPlcJxH1ulvOiQnlS1wK1WngBVx79zSclByo6Xn7U2ImhEnL3q7nrqMTHCLf07sHLnIWas2s1TU1ewbM0aOw+efW453A+W2f5aq6RmvHjr+f79PxfY0Q/Wz6jzsMsKMnnuxj5Mf3AgC58cxgNDC0jkJF2OLeGfB7rywqwz62bG/W0h8XEx/PvHA3nxu339/wdHMLdBfTwwXETWAcOd+4hIsYi84hxzEzAQ+L6XrWt/F5FlwDIgE/gfl+1R0Silre1ZLvmH62plV/XKoV+nVvx93hb3hV6MsalP8wb5nQb07Jcb9h05ydsLbHC85ry2bPz1KKb+1yU8MCyAQjCBiG8BY16DoU/B8nfgtRE+a7nHxAiZLW2BldsGdGDmw4OY9IMz86CfjCtiQvIkVlR25NLPi5i3aT8JNWqDX9+3HdeGQ4lLzwr4A/5va/PonpPC2t1Hqj6keHV4V53z6RWVht98tJoW8bEMKQxRHe+WbVz31AHuurgTxR1bcaOzJWzrKqdscnZ3dhw8zsa9RzDGMHXxdjbuPcrPRnVj3s+Gke1v1bPWPe21qmMIHuww/A0X5FLYJpmMlgn8eHhX3r7yNAlSzmeVfeiTm8rzN/exf0dDC5h0V38KWidH5aI4b1wtlDPGlAJDvTy+ABjrfP8G8EYtrx/i5uerJqTvHbYYyOoPoef1AZ8mJka4pV8HHv7nEt5ZVMKNxS62T+1bZ4NBja1a/jDGcOdr31TNQ19WkMkTo7sTEyOhT7pSkwhc9jBkF8G74+DPg+CGV6DLOX/aVd7/0SUcPVlBF6dE6GVdMnn+5j7075hKuw9ux5w+zE/Kf0I5cfzymh7cPqAjnR//CLBrBUI6tVAfnrn+/RttEZ566NUulVOnK+n5zHSWP3Ml8XFegsbhnZDTp9ZzfL52L/M37+e3N/QO3TVJbm1/V13KTklkyn22SMqnK3cTs9cu5lwf05Fh42cRFyMML2rNx8vtB4ir+7Tzfk1qI2KH4Ff8y65kj/X/evQ+/g2Vcc1plnspL914ATnOaFKD/y2Fgabx0UVFvrzBtgDHotddn+rCPDvM+ciUpazYURb4idZ+Ym8LrqzXyw6dKOeWiXPPStv63I19yE5u5HSVhSPhntl2uPiNG+CzZ+2+YS9yUptXBXSwH5auO68d7b5+GjbORkb/P956+h42jx/NHRd1QkR4fGQ3bi5uHz4BHQLe1gYw2FlJfep0JbNWe1lOZIzPnvqMVbtJio/l6vPa1vvn+y1IPfXqOqQnEV+6hv0x6Qz70zIATleaqoD+2xt6B5ZTveAKm6xn23zfx3oYA+s+JabzQF4de1lVQG+qNKiryBATC+ffDhtnw0F36V5zWyVVZZXaUuqiLOu6T+2QYZp/vf3J87fy1NTl9H7mU+bVSOTh9xBlqGV2gbEzoPdN8Nmv4S/DYc8q36+rKIcPfmyT8FzyAPS9nZTEs4P3Dwfl8+yYEBeOqa/4FjboltY/qLdMiGP+E0Npk5LI72esPfeAk4dtNrdaFn0ZY5i1eg+XFYS4SlhyazhxEMr9yJ3up6KcFLKPr2d5uZ1CefmOYt4ca0uvZiUncFOgCYQ6D4KYZrDmI/9fU7rBliIuGB7Yz4wyGtRV5Oh9o71d+S/Xp/r56CLA7rUOyPGDdp+3Z3GPD8YYHnt32Vn7vJc8dQVtUxN55jtFgbUhVOJbwHV/hjGv2jfLly6F9x+EA1u8H79zKbw2Cha+ZvejD/tFgzbXtQAKu3hkJydyXd92bNh75Ny64z6yye09fJKdZSe4KNQpcT171V0ulqtuVM9sCmQ7e5Py+fTHAxle1Jp+ndO5OD+jqohSQBJT7LTPivf8L7+81in8pEEd0NKrKpKk59l5z+XvwMU/cnWqlOZxJMXHMnfjfgbkZfif8tRjwyybcKbrCL8O33P4zAK/5s1i+c9PLyc1qRlfP177vHWjErEr+jsPgs9+Awsn2aDd4SLoMMDm6j5+ADZ/BVu/tvuMb/gL9BrT2C2vv/TO5+zVr4/OGS0orzDsOHji7DSvVYlnvPfUN+2zK+c7Bzvfe03J1YJ6q+CkRR2UeQSknEsvGUhrZw97s9gY3rxngPuT9xxjp7a2zvGvhPGK9+y6Bc9UShOnPXUVWXpcDzu+Dbhn5SEi9GibwoxVu7nqhS/ZvM/H1qSa1k63ud5zi/06/JvNdrh9SLdspj84sPHnz/3VIhNGPwcPLIYhT9oCJV+/ANN/Bl88Z4d1Bz8J/+fbyAzoYD8sHt0DJw4F9PKOTiDfVHN7Wx099RPlFSxxKo51zghBLYLqPLXcgzmvvsdW02udX7/FhX4pHGmz1C33oyTIgS02tWyP64LfjgilQV1FFs8f7/J3XZ/qexd2xJN/5sNlO+s+uLrKClj/bzvcV0e5SY+Dx07x20/WkJfVgom3XxD8oh0NITUXBj4C934BT+yCx7ba2/vnwKBHbE89UqVXWwEfAE+mwnM+GFb11M/eqnb05Gm6/fwTfv3Rarq1SSa3VYgXdiUHf/jdrrMQyOrm89B6S2hpA7tnFXxdVrxnbzWoV9GgriJLWnvI7X/mj9mFa89vx8bfjOaivAx+N30Ny7f7uRJ++0KbsMTP+fQJs9ezdf8xfn5VUfDTgDaG2GY2Q1pcQmO3JDiqtrVtqPu4WmQlJ5AUH8vT01bw4ORvKTngLL48vMumOK5RHc1TvCUhLobX7+5/Jnd5qCRl2gRJweyp715hRzjiQ/QBtffNtvTyqvdrP6ay0u6GaX+hDr1XEwXvMKrJ6Xk97F4elL23AD8cZBOQXPXCl96rP9W0drp9k6xjH3d1X60v5cLO6QwujP5iEhHJk4AmgBXwYKdyera1azL+tXgHv3jf7t/m8E6v8+krd9igPusnlzfMNExMjE2O5LJS21n2rITs7sE7X01dhtlAPe+l2o/ZONt+EOs3NnTtiEAa1FXk6XaVvV39YVBOd1H+mdXHG/b6Mbe+drpdLFbHkHNFpWHc6wsY8txnrNx5iBE9GyDtqwqMZ1tbgD11gD/d1rfqw+HW0mPsOXzCaw7zikrDe99up2NGEm0D2ccdqJatbRncYCg/bqcqWp+bHjZoYmLhwnth2zwoWej9mPkT7SiEl9zzTZkGdRV50tpDm16w5uOgnC4hLpY5jw8hPi6G177ykS60bDvsXgZd60448/6SHXy6cjcbnQ8Jt/bvEJS2qhBJz7f7nQOU0TKBx0d25/q+7Viz+zD9fzWT4/tLzgnqk7/ZyqKtB/nhwPyGzXuf3CZ4PfW9a8BU2gyEoXTe9+xi1Fm/tAlmqitZaFfI9x8XPdNAQaJBXUWmwtH2U/yR4JThzUltzsCCzHOSwpzDk5faSxa5/UdPMe71BWwpPcpfv95MYetkXrmjmFfuKA5tchHlXkaeq566R1ZLT4AxxBzZDcltWLB5P1tLj1F2vJwXZ62nb4c0bu3vIj1xIJJz4NCO4JxrjzO9EMqeOtg964N+Chs/s9tYPSrK4aOH7bbKi+4PbRsikO5TV5GpcCT8Zzysmw7n3xaUU/Zql8bM1Xt47atN9GqXSnEnL1Wz1k6HtI6QVXjOUxNmr+fTlbspr6hk8baDPDC0gGFFISrSoYIrPf9MtbbmgecLr3R6lOkcJkHKWVzWkjEvzTnrmCdHFzV8dbrUXPvvO3XUTje4sWelLefaKvAyyH7rd4/d6fL+A3Z7ZfsLbebCHd/CTX87ZxGi0p66ilQ5fSAlF1bXI52kD2OKc0lOiOMX769kzEtzKK+ZIaz8OGz6jx169/KmPN/p5c9es5fYGOGGvrlBa5sKsQx329o87hmYx5Oju/PFvV0A+PPic6sKDsgLQYlVX9KcpDNlJe7PtXul/VAb2wB9wtg4uGmSrdT4+jUwvqOt1nj5z6Do6tD//AikQV1FJhHbW98wywbbIGiX1pw3nPzVABM/r/EGv/lLKD/mdT697Fg5y3eUcXlhFpkt43loeNfI3I/eVLncq+6RnZzI2MvyaHHcLkorqUznxgtymXLvRYCtxpfRshHmgD31CVzWTQCcle8NmNo4pS3cMwtGjIf+98D3P4TLH224nx9hdPhdRa7CkfDNy3bOrXBkUE7ZOzeNzeNHc93/fsU7C0sY2j2bU6cr2bTvKCO2fEx8sySk46WArc61pOQgfTu0Yt6mUoyB+wblU9wpnVBvPVZBlu4MJbtYLHeWQ9sB2EkGv788n/yslnzx08FktIwPzvnrK9UJ6mVb3Z3n2H67Va91A9crSEiGAfc17M+MUK6CuoikA28BnYDNwE3GmANejqsAljl3txpjrnYe7wxMBtKBRcDtxphTbtqkmpBOl0FCit3aFqSg7jHusjwefGsxI37/hfOI4cuEqVRk96djM7sV6bF3l/Luou1c3actKc3jSGwWw3kd0ojViB55mjW30zlBWCwHQFkJJjaB39w2hHwnt3v79EYcuUluAzFx7nvqnop92SFeJKcC5ran/hgw0xgzXkQec+57Gxc5bow5z8vjzwLPG2Mmi8hLwN3An1y2STUVcfE2Acza6Ta7VEzwZpNG9sqhd/s03pi7hWmLd5BUto5c2cev93ejx+LtzNlQyruLbG9s2hK7qnhwYRYJcbrKPWJl5AWvp15WgqS0ZXiPMMlPEBMLKe2gzG1Qd1a+hzLxjHLF7bvgNcAk5/tJwLX+vlDs8s8hgCdrf71erxQAhaNsMY4d3wb91O3SmvPoiG589dgQXrzAzpFOPdqTByYvZvI39s1x4u0X0DIhjnZpzXn2hjCrFa7qJz0/eD31Q9vtivNwktYBDrocft+zChJS7Ty3Cktug3prY8xOAOe2tjyYiSKyQETmiogncGcAB40xp537JUA7l+1RTU2XYTZl65rgrYL3pvDQHMrSitiNXbmcl9mCrOQELi3I5MtHBzPz4UFkp0RI5TXlXUa+LSd7zEeuAn+UhWFQT20fhOH3lXY+vaG35Cm/+Rx+F5EZgLcxpCfq8XM6GGN2iEgeMEtElgHe6hzWmnhbRMYB4wA6dNDsXMqRlA4dL7bZ5Yb+PDQ/49h+2DaXlEsf5rUR/eiek0Kb1ESMMYgISY209kkFWfUV8Ekutp1VVtjFZClh1kdJa2/bdfqUnbqqL2NsUO95Q/DbpoLGZ0/dGDPMGNPTy9dUYLeI5AA4t3tqOccO53Yj8BlwPrAPSBMRzweLXKDWlEfGmInGmGJjTHFWVlY9/okq6hWOtPWdD2wOzfk3zAJTiRSOYHC3bNo4ObsbPIGICi3PXnW38+qHd4GpgNQwC+qp7QFTtTK/3g7tgBNlDbudTdWb2+H3acCdzvd3AlNrHiAirUQkwfk+E7gEWGlsOazZwJi6Xq+UT11H2Ns1n4Tm/Gs/sYUj2vYNzflVeGjVCSTG/by6J8FLSpgNv6c5I5yBLparWvmuQT2cuQ3q44HhIrIOGO7cR0SKReQV55juwAIRWYIN4uONMc4SSh4FHhKR9dg59r+4bI9qijLyIbMwNPPqFadh/QxbOz2Iq+tVGIpLsPPgbnvqh5ygHm5z6m4T0OxZYW915XtYc7WlzRhTCpxTVNoYswAY63z/NdCrltdvBPq7aYNSgB2Cn/OiHR5MTA3eeUu+sYunfFRlU1EiGCvgy5zh7XAbfk/JBQQObgns9XtW2cIwbtYbqJDTroeKDoWjoNLpVQfT2k9s0o78wcE9rwpPGflQuvHcUp/1cWg7xCcH98NlMMTF23n1/T7KC9dmz0rtpUcADeoqOuQW23nvINVYr7LmY+h0afi9QavQSM+Hk2W2olmgDmw5M38dbtI7BzYSUVlh66jrfHrY06CuokNMrB0iX/eprbccDKUbYN8aOwqgmoZgrIA/sNkuugtHGfmBFa3ZvwlOn9CgHgE0qKvoUTjSzqlvneP7WH94Ft4FOa+8CmOZBfZ239rAXm+MnbMO16CenhdYgh1dJBcxNKir6JE3GGITgjcEv/ojaN0rfIdSVfCldYS4RNi7OrDXH91ry/O26hjcdgVLoCVmdy2zmRs1qIc9DeoqeiS0hLxBNqi7WegEcLQUts2Fbjr03qTExEJGQeA99QPOyvJw7alnBBjUdy6BrEJbzU6FNQ3qKroUjoQDm+yiHjfWTQdTqUPvTVFWYeA9dU9Ww7Qw7amndQSk/msGdi6FnD4haZIKLg3qKrp4ssutet/deVZOs7m7c7xVDFZRLavQVjM7dbT+r60K6mE6ZdMs0dnWVo+gfng3HNkFbbQKYSTQoK6iS0pb6HARLJ8S+BD8sf12v3uP67QaVVOUVWhv962r/2sPboaWbSA+KahNCqrMLvX7t+1aam+1px4RNKir6NNrjB0+3b0isNev/gAqy7UaVVOV6QT1QKZwDmwJ30VyHtlF9u+jssK/43cutrdtvCYGVWFGg7qKPkXX2Sxwy/4Z2OuXTYFWnaHt+cFtl4oM6Xn29yeQefXSDfZ3J5xld7d7zv2tarhzib0miSkhbZYKDg3qKvq0yID8IbD8HaisrN9rD++GzV/Y3r4OvTdNcfE2iNV3BfzJI3B4x5m97uHKsy1tz8q6j/PQRXIRRYO6ik69b7YlJjd9Vr/XLXnTrnrvdWNImqUiRFbhmVKj/ipdb2/DPahndbO3/vz7jpbaZDoa1COGBnUVnbp/x+aC/6Ye1XwrK2HR69Dh4jOLpVTTlN3D7uWuzwp4T1DPCPOgHt/C7qP3p6deMt/etr8wpE1SwaNBXUWnuAToe4dN9VpW4t9rNn9u38gv+H5Im6YiQE5vwNRvseW+dYDYoftwl13kX09923y7vkDXl0QMDeoqehXfZbe1LXjVv+PnTICkDCi6OrTtUuHPs9Lbs53LH6Xr7P70ZomhaVMwte5p1wycPFL3cdvm2/3pmkkuYrgK6iKSLiL/FpF1zm0rL8cMFpHF1b5OiMi1znN/FZFN1Z7TTB8qeNI6QLfRMP8VOH6w7mN3LbcV3gbcp29gyiZoSUyzOc/9tW9t+M+ne+T2s2tHdnxb+zEV5bB9oQ69Rxi3PfXHgJnGmAJgpnP/LMaY2caY84wx5wFDgGPAp9UOecTzvDFmscv2KHW2yx+z9bHnTKj7uP+Mh/iW0G9sw7RLhTcR21vf6WdPvbLSbmcL9/l0j9xie+uZM/dm51I4fRza92uYNqmgcBvUrwEmOd9PAq71cfwY4GNjzDGXP1cp/7TpBUXX2qBe277cDbNsWtlLHoTm5ww2qaaqTW+7mKzitO9jD26x1dkiZYFlUjpkdIGSBbUfs3GWve00sGHapILCbVBvbYzZCeDcZvs4/hbgHzUe+5WILBWR50UkobYXisg4EVkgIgv27t3rrtWqabnif0BiYNqPzt23fuIQfPiwTRhy8Y8aV5F4ggAACUlJREFUp30qPOX0tklaPKva6+IZps+JoPzouf3snHlt6ZTXz7Jb2VpmNWy7lCs+g7qIzBCR5V6+rqnPDxKRHKAXML3aw48D3YB+QDrwaG2vN8ZMNMYUG2OKs7L0l0zVQ1p7uPJXsOlz+OSxM4G9/DhMucum9rzmxchY4KQaTtViOT/m1Xctsx8cs4tC26Zgyu0Hx/Z5L8N6ogy2zYP8oQ3fLuVKnK8DjDHDantORHaLSI4xZqcTtPfUcaqbgPeMMeXVzr3T+fakiLwG/MTPditVP33vsLm8506wi4M6XmxzvJdugO/8ATpd2tgtVOEmsyvEJcKORdDbRzKiXcvs8ZG0yDLvcnu7fuaZOusemz4HUwFdNKhHGrfD79OAO53v7wSm1nHsrdQYenc+CCAigp2PX+6yPUp5J2J761e/CEf3wld/sEk4bpsCF9zp+/Wq6YltBu0usD1WX3Yti7yCJxn5kJ4P66af+9zKqXb1f27/hm+XcsVnT92H8cDbInI3sBW4EUBEioF7jTFjnfudgPbAf2q8/u8ikgUIsBi412V7lKqdCPS93X4Zo7ndlW/tL4Sv/winjtVeTvXYfjhUEnlBHaDrCPjmFTh+4Mwi0ZNHYPWHNtVyXHzjtk/Vm6ueujGm1Bgz1BhT4Nzudx5f4Anozv3Nxph2xpjKGq8fYozpZYzpaYy5zRjjIxOCUkGiAV35o8MAqDxt92vXJpJLk/a5BSpOwtK3zzy2dLJdyd/nlsZrlwqYZpRTSqnatHeGn7fNrf2YrfPsIrl2xQ3TpmDK6Q1t+8Lc/4XyE3bx6Jd/sIvoNOlMRNKgrpRStWneyq5o3/xV7cdsnQOte0RuvfGhT9kcDh//FKb+N5RthSFP6mhWhNKgrpRSdckfAlu+8p4nveK0TeDSfkDDtytY8gfDgPth0SRYPgUu/9mZlfEq4rhdKKeUUtGt65Uw50XY+Bl0v+rs57bNg/Kjkb8lcsRvoM+ttiJb6wjaa6/OoT11pZSqS4eLICEV1n587nPrpttAmD+44dsVbDm9NaBHAQ3qSilVl9hmNgnL2um2cpmHMbDmExv0E1Mbr31KVaNBXSmlfOl9s01atKZab337Qti3Bnpe33jtUqoGDepKKeVLwXBbY33OhDMFUOa/DM2SoOeYxm2bUtVoUFdKKV9iYuGyh+x+9SWTbXWzpW9B8Q8idyubikq6+l0ppfzR905Y8hZMvR9imkFqLgyqtbCkUo1Cg7pSSvkjJha+9zZ8+Xs4eRgueUB76SrsaFBXSil/JabCsKcbuxVK1Urn1JVSSqkooUFdKaWUihIa1JVSSqko4Sqoi8iNIrJCRCpFpNa6gyIyQkTWiMh6EXms2uOdRWSeiKwTkbdEJN5Ne5RSSqmmzG1PfTlwPfB5bQeISCwwARgJFAG3iognwfCzwPPGmALgAHC3y/YopZRSTZaroG6MWWWMWePjsP7AemPMRmPMKWAycI2ICDAEmOIcNwm41k17lFJKqaasIebU2wHbqt0vcR7LAA4aY07XeNwrERknIgtEZMHevXtD1lillFIqUvncpy4iM4A2Xp56whgz1Y+fIV4eM3U87pUxZiIwEaC4uLjW45RSSqmmymdQN8YMc/kzSoD21e7nAjuAfUCaiMQ5vXXP4z4tXLhwn4hscdmu6jKd9qjA6TV0T6+he3oNg0Ovo3vBvoYd/TmoITLKfQMUiEhnYDtwC/BdY4wRkdnAGOw8+52APz1/jDFZwWygiCwwxtS6el/5ptfQPb2G7uk1DA69ju411jV0u6XtOhEpAS4CPhSR6c7jbUXkIwCnF/7fwHRgFfC2MWaFc4pHgYdEZD12jv0vbtqjlFJKNWWueurGmPeA97w8vgMYVe3+R8BHXo7biF0dr5RSSimXNKOcNbGxGxAF9Bq6p9fQPb2GwaHX0b1GuYZijC4kV0oppaKB9tSVUkqpKNFkgnpt+eerPZ/g5J9f7+Sj79TwrQx/flzHh0RkpYgsFZGZIuLXNoymxNc1rHbcGBExddVVaKr8uYYicpPzu7hCRN5s6DaGOz/+ljuIyGwR+db5ex7l7TxNmYi8KiJ7RGR5Lc+LiPzRucZLRaRvyBtljIn6LyAW2ADkAfHAEqCoxjH3Ay85398CvNXY7Q63Lz+v42Agyfn+Pr2O9b+GznHJ2JoKc4Hixm53OH35+XtYAHwLtHLuZzd2u8Ppy89rOBG4z/m+CNjc2O0Oty9gINAXWF7L86OAj7HJ1gYA80LdpqbSU/eaf77GMddg88+DzUc/1MlPr87weR2NMbONMcecu3OxSYXUGf78LgL8X+C3wImGbFyE8Oca3gNMMMYcADDG7GngNoY7f66hAVKc71PxMzlYU2KM+RzYX8ch1wCvG2suNuFaTijb1FSCem35570eY+ze+jLs3nl1hj/Xsbq7sZ9S1Rk+r6GInA+0N8Z80JANiyD+/B52BbqKyFciMldERjRY6yKDP9fwGeA2JxfJR8CPGqZpUaW+75muNURGuXDgT575euWib6L8vkYichtQDAwKaYsiT53XUERigOeB7zdUgyKQP7+Hcdgh+Muxo0VfiEhPY8zBELctUvhzDW8F/mqMeU5ELgL+5lzDytA3L2o0eFxpKj312vLPez1GROKww011Das0Rf5cR0RkGPAEcLUx5mQDtS1S+LqGyUBP4DMR2Yydh5umi+XO4u/f81RjTLkxZhOwBhvkleXPNbwbeBvAGDMHSMTmM1f+8+s9M5iaSlCvyj8vIvHYhXDTahwzDZt/Hmw++lnGWemgqvi8js7Q8Z+xAV3nMc9V5zU0xpQZYzKNMZ2MMZ2w6xKuNsYsaJzmhiV//p7/hV20iYhkYofjNzZoK8ObP9dwKzAUQES6Y4O61r2un2nAHc4q+AFAmTFmZyh/YJMYfjfGnBYRT/75WOBVY8wKEfklsMAYMw2bd/5vTh76/dhfclWNn9fxd0BL4J/OOsOtxpirG63RYcbPa6jq4Oc1nA5cISIrgQrgEWNMaeO1Orz4eQ0fBl4WkR9jh4y/rx2ds4nIP7BTPJnO2oOngWYAxpiXsGsRRgHrgWPAXSFvk/4fKaWUUtGhqQy/K6WUUlFPg7pSSikVJTSoK6WUUlFCg7pSSikVJTSoK6WUUlFCg7pSSikVJTSoK6WUUlFCg7pSSikVJf4/3FlJ8yZRC08AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from nengo.dists import Uniform\n", "\n", "with model:\n", " ens = nengo.Ensemble(40, dimensions=1, max_rates=Uniform(100,200))\n", "\n", " nengo.Connection(in_stim, ens)\n", "\n", " dec_p = nengo.Probe(ens, synapse = 0.05)\n", " \n", "sim = nengo.Simulator(model)\n", "sim.run(T)\n", "sig = sim.data[stim_p][:,0]\n", "\n", "t = sim.trange()\n", "figure(figsize=(8,4))\n", "plot(t,sim.data[dec_p])\n", "plot(t,sig);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- What about different neurotransmitter time constants $\\tau$? " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## A detail\n", "\n", "- Notice that we find our decoders in two different ways\n", " - [Here](#decoders) we found them using activities directly\n", " - With Nengo, we just computed decoders using the non-spiking version of the neurons\n", " - Then run the model with spikes, filter the data with $h(t)$ and decode\n", " - You could filter all the spikes first and then invert the resulting A matrix" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Why does this work?\n", "- Consider a single neuron with a constant $x$\n", " - When we found decoders using a rate mode, the firing rate was $a$\n", " - When we use spikes, we get $a(t)$, which is a sequence of $0$s and $1$s\n", " - If the rate neuron is a good model of the spiking neuron, then the firing rate (the sum of $a(t)$ divided by the total time) should approach $a$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- But what about $h(t)$?\n", " - It should just blur $a(t)$, pushing it towards this average\n", " - But this will only happen if $\\int_{-\\infty}^{\\infty} h(t)dt=1$ \n", " - Otherwise $h(t)$ will scale the value as well\n", "- So this trick only works if we normalize $h(t)$\n", "- It acts like an infinite amount of training with constant inputs\n", " - With more complex neuron models, there may be \"memory\" effects where the past history of the neuron doesn't end up averaging out like this\n", " - For those neuron models, there is no rate approximation anyway\n", " \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The filtered spiking neuron model gives some sort of variability around the ideal $a$ value\n", " - This can be treated as noise\n", " - We can find the variance of this noise (see Appendix C.1)\n", " - But we're already making sure decoders are robust to noise\n", " - So we don't have to do anything (except maybe slightly increase the amount of noise the decoders are supposed to be robust to)" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" }, "livereveal": { "scroll": true, "start_slideshow_at": "selected" } }, "nbformat": 4, "nbformat_minor": 1 }