{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## SYDE 556/750: Simulating Neurobiological Systems\n", "\n", "Accompanying Readings: Chapter 2" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## NEF Principle 1 - Representation\n", "\n", "- Activity of neurons change over time\n", "\n", "\n", "\n", "- This probably means something\n", "- Sometimes it seems pretty clear what it means" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/jpeg": 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UiLXENGLbE2R9RD1pojhtiJckLUjOrFWJsWpCtBpw7FYbeRWiOHYrCwBHYE2F\nkcOxACFGIVhZExBYrJGArC0KACsLImArC0SFgACQIAJAAAkAACQLWFJx1XCvc1ZAEj0v1/dCACQA\nAJAAAkAACQAAJAAAkLCwAkrWyo4riZgQyHqDUxARVrYayQIYdrsn/cNXoQEVamCku6b+GSBLFrEd\ntu/w6HDEUb1Jy9EAuSGDUw1CAiep3ywsQEminFr7k782CklK628GYBgw9QWIBJ2O0SBLDsQASAAB\nIAAEgAASAABIGrlgdsPE/wDsX/gyAku8P/pl/wDL/YTceyf9yQJG9PZP+44pvdVt5aJAkaruIAJP\n/9k=\n", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('KE952yueVLA', width=720, height=400, loop=1, autoplay=0)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/jpeg": 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ERZZYy/Vu7lUOcAFbyglhtvsqOU2NjvCqw9ZOaeYEajiFYsnMjjbQWuqVxurCiuL34BFW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\niZrh6w14INCNozX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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('lfNVv0A8QvI', width=720, height=400, loop=1, autoplay=0) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Some sort of mapping between neural activity and a state in the world\n", " - my location\n", " - head tilt\n", " - image\n", " - remembered location\n", " \n", "- Intuitively, we call this \"representation\"\n", " - In neuroscience, people talk about the 'neural code'\n", " - To formalize this notion, the NEF uses information theory (or coding theory)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Representation formalism\n", "\n", "- Value being represented: $x$\n", "- Neural activity: $a$\n", "- Neuron index: $i$\n", "\n", "### Encoding and decoding\n", "\n", "- Have to define both to define a code\n", "- Lossless code (e.g. Morse Code):\n", " - encoding: $a = f(x)$\n", " - decodng: $x = f^{-1}(a)$\n", "- Lossy code:\n", " - encoding: $a = f(x)$\n", " - decoding: $\\hat{x} = g(a) \\approx x$\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Distributed representation\n", "\n", "- Not just one neuron per $x$ value (or per $x$)\n", " - Many different $a$ values for a single $x$\n", "- Encoding: $a_i = f_i(x)$\n", "- Decoding: $\\hat{x} = g(a_0, a_1, a_2, a_3, ...)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "## Example: binary representation\n", "\n", "Encoding (nonlinear):\n", "$$\n", "a_i = \\begin{cases}\n", " 1 &\\mbox{if } x \\mod {2^{i}} > 2^{i-1} \\\\ \n", " 0 &\\mbox{otherwise} \n", " \\end{cases}\n", "$$\n", "\n", "Decoding (linear):\n", "$$\n", "\\hat{x} = \\sum_i a_i 2^{i-1}\n", "$$\n", "\n", "--------------------\n", "\n", "Suppose: $x = 13$\n", "\n", "Encoding: \n", "$a_1 = 1$, $a_2 = 0$, $a_3 = 1$, $a_4 = 1$\n", "\n", "Decoding:\n", "$\\hat{x} = 1*1+0*2+1*4+1*8 = 13$\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Linear decoding\n", "\n", "- Write decoder as $\\hat{x} = \\sum_ia_i d_i$\n", "\n", "- Linear decoding is nice and simple\n", " - and it's something we're pretty sure neurons can do\n", " \n", "- What about the encoding?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Neuron encoding\n", "\n", "$a_i = f_i(x)$ \n", "\n", "- What do we know about neurons?\n", "\n", "\n", "\n", "- Firing rate goes up as total input current goes up\n", " - $a_i = G_i(J)$\n", " \n", "- What is $G_i$?\n", " - depends on how detailed a neuron model we want.\n", " \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/jpeg": 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3HJx56St+5J+3l9yZ2Lu+jacSrRtbWgqdOppqao5b8LsVcRsKdbjVC3oQVKnc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\nkvSiksxXx0/wFdTi8qb4nw6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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('hxdPdKbqm_I', width=720, height=400, loop=1, autoplay=0) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Rectified Linear Neuron" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rectified linear neuron\n", "%pylab inline\n", "import numpy\n", "import nengo\n", "\n", "n = nengo.neurons.RectifiedLinear()\n", "\n", "J = numpy.linspace(-1,10,100)\n", "\n", "plot(J, n.rates(J, gain=30, bias=-45))\n", "xlabel('J (current)')\n", "ylabel('$a$ (Hz)');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Leaky integrate-and-fire neuron\n", "\n", "$ a = {1 \\over {\\tau_{ref}-\\tau_{RC}ln(1-{1 \\over J})}}$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Leaky integrate and fire\n", "import numpy\n", "import nengo\n", "\n", "n = nengo.neurons.LIFRate(tau_rc=0.02, tau_ref=0.002) #n is a Nengo LIF neuron, these are defaults\n", "\n", "J = numpy.linspace(-1,10,100)\n", "\n", "plot(J, n.rates(J, gain=1, bias=-2)) \n", "xlabel('J (current)')\n", "ylabel('$a$ (Hz)'); " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Response functions\n", "- These are called \"response functions\"\n", " - How much neural firing changes with change in current\n", " - Similar for many classes of cells (e.g. pyramidal cells - most of cortex)\n", " - This is the $G_i$ function in the NEF: it can be pretty much anything" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Tuning Curves\n", "- Neurons seem to be sensitive to particular values of $x$\n", " - How are neurons 'tuned' to a representation? or...\n", " \n", "- What's the mapping between $x$ and $a$?\n", " - Recall 'place cells', and 'edge detectors'\n", "\n", "- Sometimes they are fairly straight forward:\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- But not often:\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "- Is there a general form?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Tuning curves (cont.)\n", "- The NEF suggests that there is...\n", " - Something generic and simple\n", " - That covers all the above cases (and more)\n", "- Let's start with the simpler case:\n", "\n", "\n", "\n", "- Note that the experimenters are graphing $a$, as a function of $x$\n", " - $x$ is much easier to measure than $J$\n", " - So, there are two mappings of interest:\n", " 1. $x$->$J$\n", " 2. $J$->$a$ (response function)\n", " - Together these give the tuning curve\n", " \n", "- $x$ is the volume of the sound in this case\n", "\n", "- Any ideas?" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#assume this has been run\n", "#%pylab inline \n", "import numpy\n", "import nengo\n", "\n", "n = nengo.neurons.LIFRate() #n is a Nengo LIF neuron\n", "\n", "x = numpy.linspace(-100,0,100)\n", "\n", "plot(x, n.rates(x, gain=1, bias=50), 'b') # x*1+50\n", "plot(x, n.rates(x, gain=0.1, bias=10), 'r') # x*0.1+10\n", "plot(x, n.rates(x, gain=0.5, bias=5), 'g') # x*0.05+5\n", "plot(x, n.rates(x, gain=0.1, bias=4), 'c') #x*0.1+4))\n", "\n", "xlabel('x')\n", "ylabel('a');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "For mapping #1, the NEF uses a linear map:\n", "$ J = \\alpha x + J^{bias} $\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- But what about type (c) in this graph?\n", "\n", "\n", "\n", "- Easy enough:\n", "\n", "$ J = - \\alpha x + J^{bias} $\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- But what about type(b)? Or these ones?\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- There's usually some $x$ which gives a maximum firing rate\n", " - ...and thus a maximum $J$\n", "- Firing rate (and $J$) decrease as you get farther from the preferred $x$ value\n", " - So something like $J = \\alpha [sim(x, x_{pref})] + J^{bias}$\n", "- What sort of similarity measure? \n", "- Let's think about $x$ for a moment\n", " - $x$ can be anything... scalar, vector, etc.\n", " - Does thinking of it as a vector help?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Encoding Equation (i.e. Tuning Curves)\n", "\n", "- Here is the general form we use for everything (it has both 'mappings' in it)\n", "- $a_i = G_i[\\alpha_i x \\cdot e_i + J_i^{bias}] $\n", " - $\\alpha$ is a gain term (constrained to always be positive)\n", " - $J^{bias}$ is a constant bias term\n", " - $e$ is the *encoder*, or the *preferred direction vector*\n", " - $G$ is the neuron model\n", " - $i$ indexes the neuron\n", "- To simplify life, we always assume $e$ is of unit length\n", " - Otherwise we could combine $\\alpha$ and $e$\n", "- In the 1D case, $e$ is either +1 or -1\n", "- In higher dimensions, what happens?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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yKFpaWlpuxxZCkE6ny24MedopiyeFEHmCobMEQ6dpqzqDbd5HFw/ieB9Q1DtR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\nIB8fHxo3bhxFRERQcXEx95yRkREFBgZSYGAgPfHEE4Y8xQGDQqGg1NRUe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#assume this has been run\n", "#%pylab inline \n", "\n", "import numpy\n", "import nengo\n", "\n", "n = nengo.neurons.LIFRate()\n", "\n", "e = numpy.array([1.0, 1.0]) \n", "e = e/numpy.linalg.norm(e)\n", "\n", "a = numpy.linspace(-1,1,50)\n", "b = numpy.linspace(-1,1,50)\n", "\n", "X,Y = numpy.meshgrid(a, b)\n", "\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "fig = figure()\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "p = ax.plot_surface(X, Y, n.rates((X*e[0]+Y*e[1]), gain=1, bias=1.5), \n", " linewidth=0, cstride=1, rstride=1, cmap=pylab.cm.jet)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- But that's not how people normally plot it\n", "- It might not make sense to sample *every possible* x\n", "- Instead they might do some subset\n", " - For example, what if we just plot the points around the unit circle?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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GbHB771Lj1Ab8DcjroY6lxphcY0xucrL2RHUnLiKEScPjWF9wwupSlBpQH+2v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\n9bkZTM+I11aEm7rmDlbtOM5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import nengo\n", "import numpy\n", "\n", "n = nengo.neurons.LIFRate()\n", "\n", "theta = numpy.linspace(0, 2*numpy.pi, 100)\n", "x = numpy.array([numpy.cos(theta), numpy.sin(theta)])\n", "plot(x[0],x[1])\n", "axis('equal')\n", "\n", "e = numpy.array([-1.0, 1.0])\n", "e = e/numpy.linalg.norm(e)\n", "\n", "plot([0,e[0]], [0,e[1]],'r')\n", "\n", "gain = 1\n", "bias = 0.2\n", "\n", "figure()\n", "plot(theta, n.rates(numpy.dot(x.T, e), gain=gain, bias=bias))\n", "plot([numpy.arctan2(e[1],e[0])],0,'rv')\n", "xlabel('angle')\n", "ylabel('firing rate')\n", "xlim(0, 2*numpy.pi);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- That starts looking a lot more like the real data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Notation\n", "\n", "- Encoding\n", " - $a_i = G_i[\\alpha_i x \\cdot e_i + J^{bias}_i]$\n", " \n", "- Decoding\n", " - $\\hat{x} = \\sum_i a_i d_i$\n", " \n", "- The textbook uses $\\phi$ for $d$ and $\\tilde \\phi$ for $e$\n", " - We're switching to $d$ (for decoder) and $e$ (for encoder)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Decoder\n", "\n", "- But where do we get $d_i$ from?\n", " - $\\hat{x}=\\sum a_i d_i$\n", " \n", "- Find the optimal $d_i$\n", " - How?\n", " - Math" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Solving for $d$\n", "\n", "- Minimize the average error over all $x$, i.e.,\n", "\n", "$ E = \\frac{1}{2}\\int_{-1}^1 (x-\\hat{x})^2 \\; dx $\n", "\n", "- Substitute for $\\hat{x}$:\n", "\n", "$ \n", "\\begin{align}\n", "E = \\frac{1}{2}\\int_{-1}^1 \\left(x-\\sum_i^N a_i d_i \\right)^2 \\; dx \n", "\\end{align}\n", "$\n", "\n", "- Take the derivative with respect to $d_i$:\n", "\n", "$\n", "\\begin{align}\n", "{{\\partial E} \\over {\\partial d_i}} &= {1 \\over 2} \\int_{-1}^1 2 \\left[ x-\\sum_j a_j d_j \\right] (-a_i) \\; dx \\\\\n", "{{\\partial E} \\over {\\partial d_i}} &= - \\int_{-1}^1 a_i x \\; dx + \\int_{-1}^1 \\sum_j a_j d_j a_i \\; dx \n", "\\end{align}\n", "$\n", "\n", "- At the minimum (i.e. smallest error), $ {{\\partial E} \\over {\\partial d_i}} = 0$\n", "\n", "$\n", "\\begin{align}\n", "\\int_{-1}^1 a_i x \\; dx &= \\int_{-1}^1 \\sum_j(a_j d_j a_i) \\; dx \\\\\n", "\\int_{-1}^1 a_i x \\; dx &= \\sum_j \\left(\\int_{-1}^1 a_i a_j \\; dx\\right)d_j \n", "\\end{align}\n", "$\n", "\n", "- That's a system of $N$ equations and $N$ unknowns\n", "- In fact, we can rewrite this in matrix form\n", " \n", "$ \\Upsilon = \\Gamma d $\n", "\n", "where\n", "\n", "$ \n", "\\begin{align}\n", "\\Upsilon_i &= {1 \\over 2} \\int_{-1}^1 a_i x \\;dx\\\\\n", "\\Gamma_{ij} &= {1 \\over 2} \\int_{-1}^1 a_i a_j \\;dx \n", "\\end{align}\n", "$\n", "\n", "- Do we have to do the integral over all $x$?\n", " - Approximate the integral by sampling over $x$\n", " - $S$ is the number of $x$ values to use ($S$ for samples) \n", "\n", "$ \n", "\\begin{align}\n", "\\sum_x a_i x / S &= \\sum_j \\left(\\sum_x a_i a_j /S \\right)d_j \\\\\n", "\\Upsilon &= \\Gamma d \n", "\\end{align}\n", "$\n", "\n", "where\n", "\n", "$\n", "\\begin{align}\n", "\\Upsilon_i &= \\sum_x a_i x / S \\\\\n", "\\Gamma_{ij} &= \\sum_x a_i a_j / S \n", "\\end{align}\n", "$\n", "\n", "- Notice that if $A$ is the matrix of activities (the firing rate for each neuron for each $x$ value), then $\\Gamma=A^T A / S$ and $\\Upsilon=A^T x / S$\n", "\n", "So given \n", "\n", "$ \\Upsilon = \\Gamma d $\n", "\n", "then\n", "\n", "$ d = \\Gamma^{-1} \\Upsilon $\n", "\n", "or, equivalently\n", "\n", "$ d_i = \\sum_j \\Gamma^{-1}_{ij} \\Upsilon_j $\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Building finished in 0:00:01. \n", "RMSE 9.06692e-06\n" ] }, { "data": { "image/png": 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Hwyl84LqUAN0aunT5FqXCgfz8FRSXbMVmM+HmFomfahQ+LoNxCWta7FIWiNtE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r6OfSv/SUXuDeKHjGD4kqeQKZy4XFjHB98fJ1unwCjIcFFImRLkRXCmHlcPBVNfTMHFo+MkUV5e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\n/qOvPG/NWohdATd2gr4ePLtC73eh9XDIvwrHvzSa6BkajI1sw741SlUb/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PuHsq4Z5OVt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\n4sO9OJFVC5bR6nBTW9WC46WXUD4f2V/7Wrf6rmNNSLKVQLOHzIe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LiZv95Vvs+kMKKZvfIavxtdS9K5su510ZdiwRSWAJ8xQc0MTd1we3NwBFveFL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\nqwLvUPB89puHLSvNY1noY+0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy\n", "import nengo\n", "from nengo.utils.ensemble import tuning_curves\n", "from nengo.dists import Uniform\n", "\n", "N = 50\n", "\n", "model = nengo.Network(label='Neurons', seed=1)\n", "with model:\n", " neurons = nengo.Ensemble(N, dimensions=1, \n", " max_rates=Uniform(100,200)) #Defaults to LIF neurons, \n", " #with random gains and biases for\n", " #neurons between 100-200hz over -1,1\n", " \n", "sim = nengo.Simulator(model)\n", "\n", "x, A = tuning_curves(neurons, sim)\n", "\n", "d = np.dot(np.linalg.pinv(np.dot(A.T, A)), np.dot(A.T, x))\n", "\n", "xhat = numpy.dot(A, d)\n", "\n", "pyplot.plot(x, A)\n", "xlabel('x')\n", "ylabel('firing rate (Hz)')\n", "\n", "figure()\n", "plot(x, x)\n", "plot(x, xhat)\n", "xlabel('$x$')\n", "ylabel('$\\hat{x}$')\n", "ylim(-1, 1)\n", "xlim(-1, 1)\n", "\n", "figure()\n", "plot(x, xhat-x)\n", "xlabel('$x$')\n", "ylabel('$\\hat{x}-x$')\n", "xlim(-1, 1)\n", "\n", "print('RMSE %g' % np.sqrt(np.average((x-xhat)**2)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- What happens to the error with more neurons?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Noise\n", "\n", "- Neurons aren't perfect\n", " - Axonal jitter\n", " - Neurotransmitter vesicle release failure (~80%)\n", " - Amount of neurotransmitter per vesicle\n", " - Thermal noise\n", " - Ion channel noise (# of channels open and closed)\n", " - Network effects\n", " - More information: http://icwww.epfl.ch/~gerstner/SPNM/node33.html\n", "- How do we include this noise as well?\n", " - Make the neuron model more complicated\n", " - Simple approach: add gaussian random noise to $a_i$\n", " - Set noise standard deviation $\\sigma$ to 20% of maximum firing rate\n", " - Each $a_i$ value for each $x$ value gets a different noise value added to it\n", "- What effect does this have on decoding? " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RMSE 8.36241\n" ] }, { "data": { "image/png": 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MA07TyZ49e+rHOhwOIpHIqhbIwvARBCADEUx8mGUn0uFhq37uIlXFfIFb47eS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Irp0AL3hHxDpxZxqCsJPnzLMJTnILMdfePvQdjk2mOkgi064jiW6nCXMcO/22FxZfU8bzEShNwI\nM8Fllq5/O45Q8MpzaLmdGL29xLM5muYFZL3IVML3KnPRfXhuDS2moigKM6kOaRljSfMJCO9pnERt\n5bmzWORMUqU9EiMVTJEOzWMK/xzeTJAzX38MtRPB0n2lPLM3zgsdi6M5P0owYMHXz1n89B3jHHJ3\noVoR1AmBlB3MqsGLQZ+qXySucEf5FLO5YayQSc3zF4DytiHMiILmQPTKQ+gjt7LpeGieR4/2eiju\nYE+ISwW/74kiWyAEC9NXkYEgQ/19CCGoh1aw5SCCNtdbLd5o+UFJ9C/8oO0Nv7MfoWiBOGN7R/HC\n49xuRZjZbNBq6FgBnbHVfrasZ+gEomzaSTyg3fBdxYrr0jJtwpEOlqLTY5XZldmG0Co8I/ZxuTZO\nYziHQPKTC1c5NbkbazNPW0vQL4rUN5aoSpO3rzzKxMwlolfrSOnSIzSWy20eiPvNYk6VfwxDePRv\nnidgBFnv7SferPN3dz9AdO9+PKVFQS+zkOpFJkfI1HWkolIt2cQ7Aa719oAQkA4SbhqUggN0FBj1\nFDYTKlMjY8T37GRg3WfSf6aUoGO72Gs+AivWchBAbss46zPTSM/jqcw7eDlVdq1TQkqLoUkf6eKs\nNvGEhqZFyccjpItFWpEIyd4Yv/6O3Rz+6Vv4YCPER9nk4OZVPrkR4cp6jcbYKMLzyMWC1PM2lhpi\nNGRx5vBjuKpgtBBiWBWsZXI4BR+2enBnFqXpcPiJJ+gPBain+jg/Cm3VwL30XdREAGm69AY08EII\nBNu7PS6iuolyZJ7i8iJz839MeL7b33p0NzHTJrqwQlv3+3hPVsYpaNN4lqCQ3IqWy+Hk83hVm9sf\n/ldsT95Exy5yYixDIx7D1VysqF/ZL3tSSLPB8tv8wreVxhpSwKOxOxFGAiXeQyxfIqj6739k3Ubo\nYcLhUUKTWdZn/POsXr2EM6Rhzz5F2lPZHzCI3jaICGkIGcLTPOyVFZyNDcI33shibRGkZMK2WZm7\ninntVaaB6OwV9kerqKLKpuKHLEX/FEeWMhS0CtFGg2Ys/srx5589jhkAu9rAxOJUl6lfFR5eFEQr\nzgn9HAHP4B3eCGEBxaRJOjPChF4Az4FYP2LjDCLWYrwzQkaoaFunKSSmmNwywvkXj9J4eoOHPd+K\nvxZcZDosCKHh5C+jJEeRpkfP1gbxPU+SGZnjakJHGFH01AR2bQNnZ5hWa4ET1gYmNhfUO0jYNSZb\n8wDcUWzgKoJnnQ49wR7eWrmTewYXqckQdSvN1Sd8iv6W1YUW5ywWKjGeSDhkOi5PfOGr9EUUfvFN\n23ArJrgSxnzDr9MM8mjRQgkM0w7ZPLL5BLVQFHcwTi7p59/6t5yiGVbRa31kOk3svhsoKxop6byC\nUHQbTebf/xOk1+eZs3wv27Q3iSZ7WF73YfZbxsYASCkmy9pWDOUy1rVXQ89vlPygENZnhBB7/hu/\nRYQQHxJCfOCNu7UfnUSSAR748E5uP/oxhtaeJ6Np6FN1apFBMpUA2YrGYmAQqanUQyFKyiqxqE5J\ntQBBPJrCRSFrFei00gTDs1y1tzOV3I47FOFO9SKH9Qi//JFf5Tmp0fR6GBBFtOYGSvs4oeI8By+/\nSO+qhXTzRDsargfDSpyezNs5fLHOTRmJrJXQ3SiNWAxT1/nsO9/HsWaTSuoqHgqNzF5+T0mSbPsT\nP9jMEKmB5nkEtm1DWWmj1gw2Az65YzQYIJ/QqMQSbGayhC0bOjYp1eRX/vYkzcVFKskk4boFIoCq\nB+g06uC52EOjKPo2hKKyXpnFqn2R6uxpVM3Ebem0h3ahIJhNhkkXfM/p/QcsfvKWMUJtf+HpSSr8\nyvTfE8Xl5//6NMVgiGi9wcLVWTarHdbtICmrxPPbdhExLfrKBr3CYC2Twy365xzdkkQqUDobx6iX\naAZ7CJmStex2nJUX0Uf8IZ+TCn7lB/QX/Yn6yNAFPA0e+9Rvsrz0t3jzvsVdvcmHcXoLs1Si8POT\n/w59XSBcH1J6uBJHy2aRpgl2i+ef+Gtsz+LO2JuwVYVn1Bnyq3Hich1PsVBSfu3HWsHPGfXvfBdT\n23uIhX3YqRwchcoSEcfXys4maNkdCKGgb42TX/DrVlauXiYw2Yu9dBTXc7ip7FvF7WoVIULIgEar\nm/8IHzrEdGUahKAkgtTWZ7G6C4gwDBLlTXaGN5gZCaMOn0DiUS43qV1ME23aaK5LoctnVlxeZOH8\nGexkkExF8tzSMxyr9TEaaBIwDMyQoJ5XqKh17q3eiFIdJShhPWVyw84xKHRrezq+Um72qUx0hhmp\nDZPYWqFWX+Td73+E93zoPcS2HSHSHAJcClqeF5ZPEa9WcPJXEEKhMbVEYOQongv9k4ss9ZiovXsR\nQkE2S6w9cIWLl36JTqnMsj7LycQAO4uLOPjPsrsYJWl5HF5eoSfQw24vxeT2r7MkcsQVl0TUjyA0\nmv5iHhlR+eD2lzjXl+D2gsv1c8d57/RneerPfpeV5a6Hm/OfK2R6/NHUb3JZbsfVwjxceBbds8in\nhvjGu7bRn5hii3EZM6ASruwkKQvUQltphGNktVdVszk1Rfv0aayjR4kkfM+l5W4Sy2VoCRVhmfQP\n+SHVAcfjTKhBVPt70tk/+2HU3T9KflAI64+B/1MIcVkI8RUhxJ8IIT4rhHgWOArEgK/+Yy7ePd+m\nEOLCa/alhBBPCCGmu397uvtFN/9yTQhxrlvU+IaJs7mJ4jnEBiKIoILouJhGGrwyimexaPSTHYxR\nCieoihaZwShFz3cZw1oaTTok7QozS5uMGVfpuBEubT8AChzyvs2fbvVDAFeFRt0K0SdKBK0VYu3T\nqIEQQ4V5hNvBta6ScHwFt3J1lFMv5qh1HN66I4VQkrjVIM1YmG/edi+dQJDrlq4h1TqR2gS31xT6\nRmIkW35xWcjuJVB2CFoOgclJvI6D29BZC/SjKS61tE4z2aW7qHcIHzjAQGGTXqXOYxc2ePSZ00hF\nIVJpI0SIWj7/SqX67qyKbjjowR62bH8fQsI3P/276EYJR+3B3ucjS2aTvSQrFYTnMd9FeJWWu/xc\naZ10WOPX7AvM5BtMr+VJOC7p9hFm5RwlL4QQDi8duJEb566hSmhemKUeiVIu+F5gRxF42RBHPRuj\nWsFUYoTdEJnEKHgOztyzAKRcEFoVkMTKENVMssEWnf0dCovLrL+UQd/s4EVS5IM2jVAYmg06QYX7\n5d0IBLluP4vTTY1LBb+40OtUWa/M8cTYLnoswW3Ty8SCEWa+O8LC5QHsxCZq2J/spVmfI2rwrv+N\nypYJtoW7KLxML15tDWGZMHILZllH6d+DrbSpUcRzHXq3TlBeXSa6Zxc4Ju3yNQY3Orh1i9p8t21t\nLErzxAnUdJpv/c1nWG/4SjBvxFCqS3Smr3H4LT/G+ZsPoXkuofSzzI+F0fNb8BQbLv8YWwqCkYIf\ni1/xXJ+l4dvfRNV1wrF++iqSvzv7ReoyxP6pZ6hVOkhFcNZqgoDba/vRiy73lFs4miS99Ds4X/kF\n/10d+X2kEWezVxL2Quxe34ZqSHYlbC4VL/H1hT9nZ2aDaGEEwTIJNUdeyZOpV3FLs4DLxsnvgmIz\n89goirQoxquoA/vx2mUcpnEDJrXaGdLGKqX4UZYiKpObsMJBmvSjenFuy7s8VTeJ6nF6szMIFKCX\nrXINOeLX3bSEb6A4ss655C6amsZteZf2+LuZPHQTK1cu0mk3aDl1jjzmp4iVistQYYlL7TSOahIQ\nbW61jrOqjVGcf5Etu05id/y5aTS3YaoelRY0IjH6gq+CRDpzfm1H/dwphlI+lNDFITkMTjiG1qwR\nSfj5jkHb4lxolpZzL6vpO384ZfePkB8UwjojpXwvcAh/MXkWvy/5v5FS7pdSfkpKaf63/v0PKZ8H\nHvy+fR8DnpRSbgOe7H4HeAi/D/o24GeAP/1HXvsHir3uW3/b946Tb1hEciZa+1US4pI+wMHdOcqR\nOE1LZ+LOBB381yGaUXQ8BFC7fJSbhR9Xb4WCDBbX+Yp8NxG7TbxRZ8qIYDoKOQqsV1ZwRIA7fuY/\noEiPkj6H686S9HzFMj8/zMqLs+RiAd503RhqYA+aG8FTFC5O7iRXKbF37jINPUmkleWvUjo/Vc3T\n07XwVbKEq4KQ7RDYvo2WoYMUrBpxjGCFtbTOnh4HxXU51zKJ3HoLW+bn0IXHVq3AyqYfJjLqNogg\njZKvtMtanO0J/H4XhBDBLUT020BKMOdoh3LU0+O4isdCeBTNdQk16hQXfPe7tFRFt+qEM3HURJLr\nK/P83B0jKFaTaT1L3tlkRm1hWioIgbQ63H76GKosESz4z7bQ9GPUhZaJ2heiiqS+2EIKFSu9m1x8\nCK1/N/XHH0V6DlHLQwn4z6NUVHJBPz8Qjq6R2lFh40wPWnUZOzdEfnGOYn+aoClJhTLYVyvUtBrR\nlg+/3GedZfppn3fL8Up88FN/zLNWirIsEbJdbrxzktT2CpcvhqjYNXRGQKg0V+e5LuSRn/11pIRc\ndzbWIxlAYlY0uOHDtIoGRu8upqOXWJv1rffrH3q7P06dNDIQxVl5CcWD5gtrdOb88aakc7ROvIjY\nMcnxlZeQAnoaAcrBEBl3g/rVaZbuVei53e9OGL2kUv52L6H6FpqGw4S+i7ipsGXJV3IFXWd9ZZlL\nR55i5233YGgj5KpwqnKBXtbpL6xh7tiDJ+Fk1CXrCnRq3GL+F36xVkJIyTmtDM0Sngv1WY+N8xlm\nVB8yPtrqRWvAZF+bx2YfI1Q9jJQQbozQkCXuv+4BGoEGIddCSBcvWEBZiZMMvo/mepiVuWF0IdBy\nu3HWzyDtSwhPgIR0/wXycR+Fd3utlxfsn+WF8m8CcEfeoYbG9HyRdv8L6IVdDNq7yYoqjXoaW3YQ\nIV9xS1y+k7sFVbpMFC0eGhnjLb/wH/nw7/6/DEe2I5Iama092C2VjVac762Ps7Xt64VGROO+wvOY\nSoyvet/FQ2C2fCCH3txCUYtS2VinGY4xFO1CzDtVat/8fV9/XD7PYNwPjyHByOZB1VBtk0DEz9sM\ndNp0HEnbu43zC/143qsNpt4I+e/CeKWUDSnl01LKv5FSPiqlvPpPdXEp5RHg+7Fm7wBezrF8AXjn\na/Z/UfpyHEgKIfr/qe7l+8Ve8621g4d2oAjIZJv00b2ciJIiya5clHI4Big0OIIa8a3Q5qJNstc/\nVixf4DZnFaFVUMtVko0y82Ir//7cZxlfWWQ26Fcm640aNctmJnErI6N7QERpM0OwL07CAAWPktuD\nV6/xzgODJLK9qMZuEt0EZT7cwx0zZ5GqTu9lv+jsfVdbnOuYBFRByGzTCqVINDWCQsEYHqYZ0Gmo\nYaqajohcYzmj0Tl9hLGNVc5Jhcgtt5Db8Nu+JmSHbEojXG9QlSonEnv4h6YPIvhW78P0BVzwWrhu\nkEYLVARSVXGay7haiKIdoRFpsBDYiq2oKJ02Tgtc16W81iTc2kBNJlETCdxajfft8fMnLwSG2VCT\nLISGyFR9KzDTrHL9S8ewrVlSbf/9LXb8SVrIN9nVLrK1vsHcigKepJTZg5IcRt9yAGdzE2fzHIGW\ngxrYRHMEXlunx2jjSEGmVWX4thqhaA+yscFKrIdGqcjRrRYCyOoZ2lNl1vWTeGZ3+oQqHE/7DnEg\nCZsdQcN0QJYRRgRUh+G715jc2cfs/DWs6Cq1DwRI3fw8H8x0KBQex7Lyfm91wAv4Y6dd1jkT2I4n\nRhBGihXjLNOXXyIQDBH6/JdQNY3yYhsvmkQpzcGWGI0X1vDWfA9EC8Vw1tfJa7CZ9MNld5/OsKYY\nDIoCHfsaDwb/lgsDO5ACIqc88qtjBNQwid39RAiTDY8yvg62qtEKhzn++GEcy+TAHQ+hBgbRXAg0\nXHKBF5DBDPbufUybCgUDDlVD5JTDCCS/JsdJVwOcGNqKOn4DDN1EY/RzdMI/x8XaOSxho8bGGNrs\nkE1ZrKx9hevCLspSBE+maOcy7E7vxpMeqwEfpFISzxNoDjAQ96v5y952DjR3oI4jq7QAACAASURB\nVKgB3I3TiMYmkfIQsUIf6cw1ZiJjhB2Tva0g7c0zzJS+A1GNmwsOqvT41vo0rtHge22JI30gyKAr\naLkN9JCDtPy59r3UzfSUS9QiOvF8Bykl9mzVp2zZOUYkI7BqBluiZYpWhHe2fdRNPRLi4LVFIrLO\n09p+ji4/hBE0wQOjlWO17bG+uYEZCDEQDUN9Az73Fsz1bi6jWCMbriE9SLRURHjeH36aihAC27JY\nqR8iWx/AVlxuHr0ORXljKzX+OdaB9L6mD/o60O0PyiCw9JrjlnkD+5I4XQ8kOz7KdYMKsbUEASVC\nQ0uh6luYdDR2xILdBQRmZ55DT80hPI36UoC+8W14Roh0ZZotRg41MotSFlwe2s4d4gUOes8yml9n\nNZom4HZo5AXpgMvVyA4uHltHMbaRLM+iDI5gp2okpEdVTRBxGrxzfz9LFysIJYJkFUcKblydItuo\nUo+Oo9gN4ipkija6ENTjGgGrQS2WJGSpRKIx1GSSZkBnLdhdFMPnKUcUYsszjK4tcTEUYykYJBgI\nEGk16VUbFDUNo9biN657C8fjEyStMi4KVT1Jo23j2A0gTKNioygd3GAUs+Nb+dWCw3qsTFlP8isf\n+STTvf0gFFaXl6iULCKtddRkAjUex61WKRb8SVPzAny9/+1YaoAcVVxFZZfZBOmgBJ9jfPRRABa7\nXlqhZnLjxZf41xceoyZ11JUWluhDjeRwKlUcRWDnL+JVTEKREgOFCCAIBzwqVojxtkPf2AfYOXo/\nqudRafj5hmNjdSTglttgebi1kxxub8MTsOfff5ClLXeDUAGb2Sv+vYfaBUQki17Modseux5IE3nw\nOyzc8nEaN9awljWetHezdct/wHUbeB0bB8gpIxBQaFZC/NrTF1B7/XDndvs4q9OXSKLQOXqUTG8/\n+bl1nGQU0cij7gzg1W2ULpGeW/BrWv7CHuSlwV6ww8SaGgtXkmi4VD7g0BRR/kj5JVqBIM1Ng2zQ\nz89kbhxDBFQyqW0Mli02I0k0XWf68kVG9x0gEc6hdEkO+yuSmUgJffJ62kE4WteIO5Jds2H2Oudo\ne7dgmEP0F4NctDZpFKZob2Tw2mG07E4WKgus6wVcdZChjSbSgx/vsehIg5vm/RxEcu8EIXcXWElO\nj/hQ8oLhh0DVSoAvDv0EV8IRbq7vw3FN3MIUSsUjvHk72soD5Mw6JxJ72VuboW2WqDcuUrNWaEQF\nEaXE/kaJZ5QwaivN18QMG9120MNCUm8XMYI2tdUgBTJcC24hkq+x49AAbtXCLXXoTPl5D2NLAtNa\nxazraHGVlqPTP3cS00tQj4TISAuj9QIvylv4XnAfImQSMFWE1FhcX2ex69X3OVX47ANQmsExxgBQ\nOjYpu4BjGaTzLdBW0Y0W0VCQWq3G5z73WRa9SS70XKSes3BWmv8IDfjDyT/HBeQV6bbT/f9VBS+E\n+BkhxEtCiJfy+fz/8LXttXWUaBQ1GuW20TKDG2E6Ojw++V6cyN0Meip9FYdK2Hc1a80ijlZE8wxM\nZyu5LeOEMzlUs8Pf7f4YIpoHRyVYrvNvOYq1xWMCD9PTuKX8Aq4Lt+U2aClw5YV1rN6daK6DIwWL\nwaskbKjqCVQ8hkMOF59bRaod/spMUpZhgsLBKLaZaRoIoZDVFZodwaFQkPm0inBKVOJJBAIZC6DG\n4zQDBqvBIVQpEaFZhFenFYywwzGpR6L8+de/QWNsjJHNTXJKE8fQEabkw5ce599snGRHawaBBCG4\nUuhgd5oIEcZzJdJo44Yj2NJEeh1cGy7GfBN759YRZkb9RlInn30OswPh1vqrHki1ytnpBRwpuCX/\nPE01gio9Au4axUiMgUaZYixEdu8yI5OPEZZNLg5qmJtFyo7LlsXLHNq4zI7SIvq1Kprtx4e9whwd\nXcMuzuJWTLRAnm3LvqLITgxTNkOM2Q6R7NtJbfoWuyn8e043feSZW1zGxcJpmvRm3oN26y+y5btJ\n/sRLEH37HwMHGP/mAgdQ0TfXUCI5gsXtKK5grv1VRDREz4X3kvvGhzG/piMie0kkfbiy1Dp4WoeI\nDKKlPGqVEJPTV9Byu5HeEreZq8SqeaIrvnGTiyXZnJ3BSgbB6eCc/X0EDQKmyuPYfOexp6kYEZ7p\nnUAJL+JYfXRuG4BSiKPxPrxhly/xr2mIGBuZJMGWy3CiDxQwBmOoO2Js1SdJtC0KoRjxcIiOonHo\nbe/CKXdQIr4Hur/p8b1IGOPAnSx31jnfUXlLo8VWt4SBTd15hHG7n6G6gSsEpxQTh0FaT/8mbm2V\nNaVEJdjArhioto6xqaAICNdzCNeH3Q7cspevnVwnOXsTuusrBSs+iRLRqE43qOoJ1gyLmxr72Gws\nIV0Xt6oQzd9Ap9WHWgpxOTrO1lqRC9Xj2N185UpzA8WocluxxbLSy1LxJqQQXIqVcb0gMRml7pZQ\nwx523eCs7Xua1yun6N/jP785V8Xssh+rGR1PVKCpkk/7i3G5VCfEAI2IQkCzENVv46CyGQtghz2C\n7QhSelRbJaZX/LBo35P/uw8y+F++iVczcbuIrFh+g1YnTKbo338quYIWifPpT3+aQqHI+/gGi+kZ\nju2+SvoDO/+H9d8PKz/0AiKECP/3j/onkY2XQ1Pdv92qC1aA4dccN9Td9zqRUn5aSnmDlPKGbDb7\n/T//UOI4dTZiz+Pt88MoB3JXmWgJpvsNHnnrHqSmE/IEkcU6jqphC2i34lhWiKjQcJQsgfAIo5Ea\nBTPCp5XtmDkfybPzpVOEywZuDibSAfo2l9lTv8RgTjAc3uCAo+E2HdgzRjMYobK+xqVKL0nXpqrF\nkcDG7AqLl4o8n3JY0LOsJdM0pEE+L8jXTbKjW8ipPm34bXWFixkNvA3qkQQSqIRd1ESCRsBgNThA\nSpgI4fH/cffeUbKnVb335/nlyqmrq/PpPqFPTnMmc2aGYWZghhmCoIARARWVa7iiXrPiq75iVtQr\nYuCiggIKAwxhIpPPhDMn59C5u7q6K6dffu4fvwZ83+V1zevLLFzutWqd7jpVXb96fs+zw3fv/d2q\nt0x5cIwhZyOpffBazhkGwzOzX1+bWyYKvPnK4ySlipQhCpK01+JsdQN/UaJt4pk9glhkXGWwuHED\nLaSAYaFibRuEwOfKpQjTT/RWkYkkSiZN2Gpx7soCfgCbuzP8kP4VDvV7zE9MUk1kUJoN1pIx0mMO\n6eQ15N0W1aLKsyfvZlvsUSYXr+IOxHnn2S+CK2nWooRk26ugAKK5grvWItOrUqwrxFWXJbGbeXcX\nw6FH2+4RK0fBbmM4pBn3eMtLX+NB8Sj3T2Dod7A5tR/iOep6HWswjjfzVWaXo5kdh02DYL0C8QK1\nzV/AjQmebGvcL/YTzm1DM3eQ6HgMJ4ZJzZwHCb7RRAk3PNm8h6iH3HruGGphG4ITBMA1uWWSnY3+\nIBQC36eTidY5d/YzGOopwnATfyQrTC5doDo8yuTgnyGEh1e7gYmd22lMNOjuCvFWYzzFbYgwoBrT\nUCTklSH0koHQFDpbJLHQJO76dHUNZ3WF0EowsnM3Qd1GxAtIYHs7ZEnTWD4wzYOrl5DA97Qb7M+t\ncCLYjCOn2STHuVu5ByNUORKz8N01pL1KZ+1R6noLW7WRTkgzfgvbZtuMDb+Lfecu0/B3YCs9Qsvg\nS6fKbFtMM70oqaag2gRzSxYxH0HH+VZALkixRhmkAF9BtFo0kme44kXKdLRRphKuIjdog2arCxjx\ngFvLUdT2lBpFe9WhBq7chUCjI6soRogeaByV11MKy9w79hmCTBMlrmFfqOOvRgrd06sIIYn1fc4P\nRrT7NTeO2bPoJXxM2qh+hUL9HO3ENpZiRbROBkXrIQlpWxt9LH4L3vVlGL8Opd6gmoyqr8xylaaT\nIdkNCPwkudwSs2E0l+c9b72LnVxlxMhxRr2EVoi9bJ33H5WXMxP9ZiHEWeD8xu/7hRB//gpe0+eA\nd278/E7g/n/1/PdtVGPdCDT/FdT1TZXVlsOPd9/AY1ujDSArNeJScLmkMW+7rCpRgtw+XUeVkr6i\n0WkXcJwkRRIoBCxdhEnnBIFUMJtV3IEDYHj0HY3eYtSQNj7mcsfZB+lrcTaNDrLmbeaArVFICQbp\ncXlqJ9rSLOUgTsbv46omtmJy4dlLnNR9nvVUblp/kWf2H+CL+n5eym8j1moztnkPBU0AIWMrDqtp\nhYBFAs2gZyW4qjZRMlnWEhmqeoYRPcKUE/0lKqNT5Dt1lCBAmZjiuh94D4X1KkoYYDgO88vLqIED\nfKNKZMhZ5WJHRQLaxrhOGVcINg6DJMLk+24K4gqr1T6vypl0NJ2u6yKlQ7xX5q/+6R+ZqayBlCh2\nk5TbZjTe4vunHuB1nsKVTTtxTQvX82gPW+hJm6q+iexqn6XuTuxGnm83/gJ+pE5lT4optc2Oxizr\nax7rSsilpODkgYMIGeIvz7L/koEVKJSsDqfO3coF/0dpBaMEly+itFZwYhafPdzkmTuGOb3rHkSi\nBJpJuXyWnDZBzVnm8av/i98ufQUjH8NdPU758hOsEnJASKQMaNx5kdrUF2F1Hw+0UxxdO4a5zSFl\nFOjHRhjRB3jw72oEnSJebA3PSuLTIZdtI0LY3o0jVJ20/jx1kuzOVLC3JtDHx8k2ovsWWJECXW8W\n+NtgGMkAn3KfIN+tc7G4zGq+h7l6ANndxlADcocrqFrI1SeGSfS67D/2HC1dBQSmMowxEUVsy6UG\nXWcZRUoMpUuwvgJCML9wluZilZ4SIPN5xmogkDzcfJ6nmg57NZ8JPyCtO3ymfR1h0WK/ejPT+k3s\nDlIciVk0Hn6Oudf8JC/uuh4AYUclyHbqdobdPuOX+xScDl6wBQY0Hjq7StvxuSdxjOklKOcEX+R5\nzC1ZLDtkE4JrOiV8QsKhbySOX3QewzYucTqxHUO6jHAc122xGpukr1gs1BfQMyaTzSRj3jonc1HD\nsDJdxAk35tSrUbHHM9bNnNN3sZ+XiJk23d4FzKkM/dPrX8dJemHkeKRdjwtj16FqGjVtnH41QKoS\n1Wyjh4LQ+SwIwf3KW1Hbw2gJiZXz6CSikvuht38EBncQtNsorkstESMUoK60WHfyUYFOY4Rcvkw+\nEeMHf/AHKSUjIzhqFViuXYTZp/+DGvDly8uJQP6QaIhUFUBKeQL4ptSHCSE+ATwLbBdCLAoh3gP8\nNnCXEOIScOfG7wBfBK4Cl4GPAD/6zbiGf0sKqRzzrTHmrHw0Ee9yHilCLqXgVM/mqhJ520tLXXJS\n0DEs+v0Uvm9gSpWSZjNzsklKRFjt4NoKmu+jxc6yHBujOuNBCOvly5S6qxwdeRV9b5xHmj+OHvM4\nrGrUzsHFyV0Ygcebxz9ENlp+mlqGIxdWeTjucf1IjNFkCxSFTXmLufQQo70WuZFtqEKg6n28Ky16\nsTaE0SFopbJUpM+Z+nmW4oNIIZiK+yihSk6WWR4YwfddJlcWOVFrM3377RgDA0zNzzA+v0AiH23e\nrzXJ2lpAPL1KR4nR1pIII/LUnaQKqgqGReCsEwofugZGLOBypc3riiUW8iVC0yL0L2EFHZyWR931\nsE0TSwlQ2nX2ZMqsJx0Uo8f86BRWPYIl1ZHICP/RuS8xoTjULZPLD/8sL5x5B9KSqG9bYObmAX7w\n5OcJfMnfyx6VsRHWBiNMPazPMV0tQijImBD6cSQWX6z/POLyHEF7hbVBmBt4D6dHf5KzpR3owwfQ\nBnczMnOWAaNExV6gZ6mcPfd6Ls430AeKFN0OlwgY9QXtNwa09pzDamxh88n/xq8e+BXswMaZjhav\nP7SDxNGrzPX30arspJ9cJggka7HLWLlo7+iDuwkCFz++gBckMNSAgW1dglYLMbfAptEUr0o8htDg\n9PpWPk3U/Z+zoz364ME+r55J4SopAhlHrV9lfyqgMBNg1w3ue+ifuPnEV/GKcfRiEUWxMMYzhKHP\n1doznAs2ZpHoCoZss5LOc9usS3l2jq5qY20aJVmRTGkhHz3zv2iFgtfpkXff9ExCpYjpg0ChT40t\nosNlw2BJGsx4E1RE5LmnwywQIo19SAmxo3/OmsxjqnnS08N85tgSg0nJVPcshi+oJIucGa4yY0bO\nybUi4MbuLo5rNYrbvoH9b7UuUHCaHMnsZ9q7iGaVCX2bC/Ep1owBAq9CzeohUDi85jEXGyUUFqVs\nhr4WQVSGGeWSnlN34yom+8UxEIJO5wLG5kxkPASgC2rrZza+j6Rb2EZueJSaKFFbi1RtL6mQJY3q\nn+dA96s8xp2suQfwUjaJ4TadRBpdemQLER+Wtxz5yD1TxzE1lLJPLRgmBFbLI2i6x/7pLcTjcdhA\nDkYTQyx1lpAP/dL/J733H5GXBWFJKRf+X099U6aVSCm/U0o5LKXUpZRjUsq/llJWpZR3SCm3SSnv\nlFLWNl4rpZTvk1JukVLulVK++M24hn9LDBmQU5uskMS2l2kt7CY94eI7AZdDn1kt8nDWvZABQ6eZ\nSEWd3QB9m82GCjLkgvNWfFVjsFbmTldBi1/CxuJSQ9J4LsP5p5ZYjI1wtTjN/Pp++mGGwW1RYnCH\nIqnkh3B0jdKqSUqJDMhqrMS/xIYpJkz++B37Obc1Crnv3BYlw9UwRE1GP0ujTbNsc22jjupHid12\nIgPS4u+e+UuWrWGElOTCFEl3gAGjSdewWNR0pudnOOEGfHa1ztnt27n2yFGuPXqU7fsiD00zIpdr\ntehyaeIlAMrmEEKJA5LeRlTjxROEXoWuVBCuJKetcna5ysKSwkwx2n6eehW0GO9wD2M0cjSzEXRo\n+A7T6TWaaYOZUYVA1RhcjCjBlYyJGyqseILNVg9fU1FSKokzt2F9OIIuq9ttikGVHe0FHgh9Mvuu\npReP45sxgsYspjAAgaZFSnfE/grtYJBLx0cJ2stcLHh4sUPc2nuM985+GHVoL9r4fsiMowiVbmuW\nQAM9tPmJZp366DgDTosrMiDhq3TvUtGbo4SKiy4Nbm7tR1M0jprLSEIK5jALj58hlAqG2InQ+6A1\naMRr6IkATAttcDc1b4HjySkQHrNugt3uLGGrQbBymXuyz0QRW3IEo+tQQQJt+soBWnHwrDhve6SP\nuzGfYjlxiYonGJzrsnmTw0R5hoTbY3gqQB2ZBEAfS3D27Ps5OfNRlp2oRSue2YyMw8rgIL7QMb00\nQXyZhnUCmoI9iQA39CioIfdWopLqGWeAA2GMoO5wrnEEiyyvKkeTIJ6/bpzAh64RXddgvYMMJaxK\nVvopBCFne9FwJzkxwOMX17hl4irGmoqCZE7ZixKq/PbFP2CJkGBzDtsY4ahpYwzOff0sF2sL5J0u\nJ1PbuaZ7HqeugxBcSEzSiBVJeVUudSKn5JY1j1CoeNZe8rToOSahDMjkor3czo1hhC47OY3uBnSq\nL2BORXtVSeqoKZNm7TwygHZqlKJpkh8Zo9ZVqPRLECq0ExolGTUxfr//MBL4p8Gb6BhzxAbTNIYm\nSIcNfD8yBt5yhNL3dY2uqaOtCjxtlGPsob90HTJUcZSP43kN2JiOOaLG6Qj4rLj+/6TivmnycgzI\nghDiZkAKIXQhxE8D517h6/qWSthqMaQ2KbtJli5fxu8NsPNQmlwvwNUVatH9pxXAYMKgni18/b3S\nazNizrDVeoor/qtZzw1SWlvmTcks14d97q48iNGtMHtyBNVy+WrhFjpxk66T5frkJ0iHURXGuOhj\nuh1mxodx5kySQZQ4fSp3E45Q+et3XcvwYIHLE1Ey+pbtw+TtFlUrgeNF3rlnVdAswQ3HTFQ/+rv9\neJqkHePChSusmEMMBgFaK0MsKBL4q7xl9SGObt/G0R17aAqFHzk3z5c2R/hxIAS/mBwiEAJFjTxk\nNyYQVhlNeqyYJbwgDQg8PwZI/FgKcKkSKYpx3caTkief/Ci2sgBS4ug9PCNOVzgo5Khlo9LcLZkG\nQQxcQ+XscArTCxhvVFA8l0CPs2pHI1orVyOvrzXQQQlDzoy+EylBS63xxHX7eN+Ln6YvFI6a2yPP\ncbBEWJ+llouMoK1sJlBsJlZf4obk39JoJRFenyulIULF4vDCEWKqglrYinfdHkRxmlCGpBajfovd\nmVN0kfx0ai9tVG4/cA6BQvrpMVq+ybq1gBJvsfbgMrfKe3ikdoaWVmZcFGl2myjheQ6//t5ojTOz\nIFYJhUJQ2ouSLOEFLpfSOygqDU4HKVK6R/xgj7HrVzBll88u7EEkx8l0GyRlD0kXJb6DyxMGP63f\nwWrMQdEjL3qVBA8006yHKntyZZ7bchPPDV3PNr1COLAV6dtUqp9ltfIFPGs7mtsC1WQou49mPUFj\nIIsiJZlAZ2znAQxzEKWtsF8LEEgOJ31yG9VfaAZTbIGUyunGkyxkH2a6/UbSnsaxqY1xyOY6icDC\nuvIEQlGRDcn51iCuMOm3oxktD1dbBKHkQPYz6CuR79pMj5Ot3MrJ/lkeSTb4x61J3ndtjFP5DE3x\nElJEaRClBquxQQKhcrCySmMmDYkhHNVk156dqIQ8s5FJ3eGUSQqPwcE3kg7mcfsZun6TXCYqETdS\nCa6rn8bExfAEneoL6EMJzM0ZlISOmtDpda7idnTOlnZTNDXyo2M06i2qQQ6jV6CT0LiWqDFzu17l\njuBhvjCSYtasYvUsukaMdNChVn8mOl8bSXXbUGmZBtoaxI0ijwWvxmptYfXYOxCx0zz3/H00OhHp\n6Ugzilq+rGx7eQrv/4e8HAPyw8D7iEpml4ADvILw0X8G0QYG2DQ1QKWf5crxVRAh04e2cSiMoAcr\nbxHTBD6QVzXWst9I1nt2i6T2AAeyjxEGCtX8MKPleeb/5hfYf6TDqL3IvDXGvrEeY29Zpq7ncRIG\nPTPgYOKzBO1I+WeCNFb395kdSxM4KmZvnVTQJhQqd7WOsHssy1zfoZmKPKDtxSR762WupgZp1iIP\n0Nb6bLrRJFGPcWDhJgwvpJvIovkKY0sFymaJicAj2TZIKCkqnQU+dP43uNt/nkwvggF+cWqIPwn+\nBgAnqfNQbhd/9J3vJgzrSCSXS02ECMn5ZVasIQxdIJGEgUYjlvx6It0Ooklu33/z7eSmf52DrSKT\njVVU3ySIJbiSEVSygpyeplwcQPgeB8zTdPJ5QiQnB0tsXXERw9tR/S59N8OlDa44vR193zOFkKmZ\nz2HHt2M0EuTNJgu7DjLeq3CwdpEHlyS32YdwkoOE7RU0J0BVJWvhLuqpBQ584UsMqU8z7Uf8R0ri\nRkzXYf+FC2SCiErkJeMSWn6aprNKsRp5rtfM5fjunslioPMzd/8ctvHPAGRf2ouMr5Pv+ujjLgnb\n58DVw5yrnWchvkAyMY6i5PHtpzD9EsKL0c9cYbI5y7o2hBy7DgBVM0nZE2iEhFoBx1cYn25iFTxe\nLHwHK3YCmRogbbfZ7C/yJfNphKqze3CC29zjLBXgtrWoFqVxsUjbK7Bgxhh1V3lm7GbODt7IhL2C\nTGwmaMwz/8gHyWQO0VXyjFcV/Hia8eQ2cn6XftNhwJGoCFKj41iXImU41FT5HyWHN0kfBQglTMUc\nitYY9WwViaQzeYq48hz7e3uZSS/TjZ3hsrlOKSjgXzmOkvIRisaKfSMfKd9KShshiEs+eabMdBG2\nNeKw0Xuz1Siy0LyDhDPAkeGoU7ulw/Gtg9SFhR9XCTUVv6NyNLMbRQYUl9ZwWwbtWFSLc9P1EWX+\nlXpEaqMqNjdZFVaVzXyguo//cdNBfuSmAd634xf4MT7MvJXklsvHEC5Iq0BP6SLLxyn+0D6EEChJ\nHc9fha7C08mdDBo6+dHxaBa852N0SnQSKm8Y2sFbtr0FT+nyXZ1Po0r4+MBueu0kPcMi6TnUqhFj\nQn92lkBALObRMQxEIBhca0BnJ0iBHtxL5YVfRlF0jnY+ysxEjMH5aAjc4NgrX/f0cgzIdinld0sp\nS1LKQSnl9wCvfH3Yt1gmCmkaTpalcxrxgVkyhRJ3W9ENyQ/GSW0gVrGuTy2WRPgbNOfeAjHlWfI7\nbqC5KcalTduQik66uJOB772Dj+3Zz0ODr8HyBqn3o2SltFTW0ga+EOhOhLuqqAw5GdZiXyJQQ0LP\n5sb+Cd7a+wrTrQhWeKIehazxfhfRrTPda9PXLc6tRklVV/joRZvO0DLXL95NphvSSkdtNbF+kkDR\nKCg+Wgg5A9zQo6yp3Hb1KX7nX/4WNQxJVU5g+vNQEiSyPX5i7u/4wi13shau0Y75rOaicteMOkPV\nKOC4aSCC+BqxJNIwkcJE9VdIapLumWfxFY+PZZ+hU4+jeXlCK8FCPMFX25KckaSRzaB7Npu0OsHw\nLmbYQsuIsXU5oKpliZlNer0MJ/uRQb8mGeVd1ugwufBV4spF1qsHyZoeE+EAD193mPec+ByODw9h\nMZ65FpDk1xpkTZeWN8VqagFV1eiqA2wNPwfA5vJBDs3X6R96Oxb7CZw2R18MycbHaLdnMYIQBRPF\nXWNcKHyvYaFpLQ6fPA04FPYovO7YDDefa5JZ/wD/974zBEaVlJ3ndHoRxUySSd6N57b5lz/6dagN\nYWeukPMv0OvHCTMlOl6DzOAXObgSRZqmPcBSNoYCXJxI0NnxCIVr6/ipqBx5SDzLuc5XkYFLMnUz\n8fVnGDzU5e1jLWJqj9aVPIWOwtV4nljoMuI0uH0szoDbQldGCBqz6DMhu+0DlFdPUCw7tA0VXYlR\njE2x9+oxfunq/8QQZxGqi1yP0O3Y2ii/+dRvop+P46PRECmSsosXOpycfwyAIgp5/Q/Y1Z2ibTT5\nSCrOjLHGgBLtSWM4clp2J2/ArtnkzBJyKM2JxSZ32C7DT7/j6+fz3nt3E6DhrNzGpZyNIiWvv3AE\nV1P4fX6RfsoiEApeV+NIZj9T7SXWVl1AsqpFnvnWrWOEQgWnTQBovsKrxeOkVMGMO0jbNDF8mzF/\nhb3Bad7+4Oe55+jjqG2Bo1hIRdB9+teAaBaQktDB7KD3JM+ndjJoaORH77Z6GwAAIABJREFUItoa\nxbGx2jkcS2VSUfmVG3+VnmYz2m3y1kWPh+PbuWRtomdaxD2Fau1JpJTY8/PYusaA1aNrRcbavLCC\n1R/CiS8ztr1Ac2GM6w7dzxBbuDqZwBmrk1FDCtn/HH0gH3qZz/2Xkh1Zk0wA/VqW4pbIe3tNPgmh\nJJk2GFAjC2KVbRxFBddGF7A1cwGQOMW38fgui0tb9tC58WeIF+7jupteh5qYwVbjXAmHWZn7DuBr\nBkRjRs0w4A1TTUT450RwL53c61ko9ukrkM+8yGFxgrrl8vjVR/n43Hk0r0Nq/S/5wyc+yLhno4QB\nZ1fXEYaClYzR7XY4vfNBPNUj2wup54rEB4qUNxoI41akhMcTUY5lTtfJa12UbJrN1QqFi59HKhrV\n99g8+SaF98/+Fddc+h3soEwn7jO8HlVdxfSrhEJlBRVhRtBQfKNHpJ8skvTKDIUhp9dOAFBOXeSA\n1UH3UkhNw03qtHSXNg5uPEHWryEEdPJZTqq3IWTI1hUPVTRIZdeRUqW+QcfeY5ic4+EhEUj25f+e\nfmMSVYWdrsdnbn8dW5plXhOGfBqXtVzUf5putcgbINFYjM/gBi6ONoba9OibCq1EjtsvxbGmvg3d\nuIYlLMLETjRFw25ERITqINisMnNtwM+/ews/ofwDhvDpyQZ9dxeVoomvClZSO/nn4Rs5O9plb/0w\nR60o15W3hrnujd9J6PuojQmc5AJZvUa15ZHWC6z7sxSUh+mvLtNSsiRWKszss3jcGsL7izSN+SHa\nuyp86tp/AUDjLDddieFXL6Gmd+Npgrv0LmFBMmTXaBTT5NdtLmai+//9Ez5/fPcAntyEioarzJC+\nlEL7/O8yfcwh0XFQShaCDgP5a/iutS/xtrVPMmj+LOYjbyYzGUV/3nqJnN9jj73Ip/xbsa3NqDRZ\nCc9Rno1KtdPzywhs1moRu66SuIzU61hhHjWbxbn4LAgoJCbJ6EXSeoGTqx0U4K6+iSM+Gb1PD9mV\nfoJ9OWj0rqGrbUV3yzztvsDWmZPMsJnf+s734QuVrmNxNL2L/c2LrHdAM0zWyaEJiXCfQksYFN11\nyngYTobJ7uf5gZN/wp8/+Ev83XM2v/Psg/xS+4P86Nqf8cOf+TjGUhfaKn4YwXSdtWeRCy8Qdjxc\nrY1mBVihSUNPUzJ0ciPRXlPcPqlOVFZ7vn6etzz7VXxNoPkW77zqosmQL2++CVfTMbshjrNCr3cF\nf2WFvqExYPbomlHlo+xvByRW4gSplCAMJW7fZJd3iF0Xe3RTGj9TcjC9l/6D2u/ly7/HxnuTEOL9\nQFEI8VP/6vFrgPp/et9/Cale4b6n38Vb/SgZN7ozMhaxjMVkNyQd18lp0XP6fHSA/F4Ha32RXZl5\nbG6g0styInIKKc7XWF/scOUTDncvRQVsTyu3c3ExqggyVZ/1tMrDyWGyQYp6Nooght2QTvYdFNLD\nxFyVF4p1fuWaGp+5bZn3PfmTHO+C5ryEDM/y6faDzI202VGf56zrocR1SnHJtqsfZcY+SWvkU2S6\nIdV0ks3+KZbNYXJ+H1UzkcDBWETsd0GLkdYdenGTbTOXObT4IN2hTbjjBl8c2cQ7hodZME6R7pmU\n6nEG65EyMPTIyC5rIaQiA3LNlojld6k4Qs6rM+F0OJ+bZzA2SChDssEUqhdBXEE8yWrlLBecc6Co\njHdXkJrJmljklHItO8M2cVcyYZTJD0eflbGjXElTlQz3q9hmjFoqjWWvUq3MEIYK46LGlbFNlPe/\nih9SM3hIPhTrImIFNvlpYlr0NyrJOSq9CueTKk5LozMY59OHU6jdgPInVtAUnU53liE14swSrQiS\nKw5nyXSaPBZz0IpFDqbPEwKPk8FRJrmwNYlrqjy75Teiz4mrbF+/jrPaHEEYMihs9t91B7e9/kcx\n3UNYboCmhBj5d6MrBtrmNcQVjZcqX8YJJ7GSdfqK4AtNlZ/7do1fV+r85brF/cmAQMDuSoKd5Ra2\ndhK9n6OSHmWg7rH5D0OG1+osaQMUlutcSUUwzltGPGRjFjeMvHKXWeRMg4XzJd775ahcPXNuFn/l\nONvVEQ6a81SZoO79KLJXZ/BAG6GGZC8v8mPaZwD4E//NHOENACjFWQA03cCaXeSSc4AHGEa6ecYy\nxxGKT69uEL/uOvovPo8+kgQhuKX0VgC+0u1xXUahecvPYqydAiR6RoNjH+O+XQNIoUad2v4srjNC\nsr7OL678Mc9NH+RDb3snZ0e34ioGe9fP4AYKqcIYTUWS0zosLPwV6aJg0FnnnPRRnCJIl8HiOYLZ\naF/n4/O4wkNpScwtm3EaOpqXQ6g2oNHJJpEP/y6EkpYfORVWbGMyo6FhWDG0eAIzDEg6EdxsByuk\nm5Fyl0GBAVdyy8pprhajaEVtd/F9jWrtScK1NWxdp2B1cVWFRn4cz9hCN7FAQS1j2VG+o9twEP0m\nQ6sO6tES7cBgwH4OKb91XFgGkAQ0Iubdrz1awLe/olf1rZbcFAxMs90X+LEqA6MbNzZjcrARcAKf\n3GjU46CvRAakJwQ77RNYwsZOvpUXejYIQd53SHV7aNKmtWZTVHTi0mPO6FEzWyiElNwW62mVi0a0\n8RpuGTvoMuJu5EM0E4nkTbUDfEfsMLccL3Afb0eqSXzzeqYrbyPRV/nq3jMcrFxkVrNomIJrvOcY\naT1Gk4BS7BTZvk3f0Gjm97FiDTHq9VFdnW5KZU/HIRGGdMaz1HM6c90at80/zYi9yvmswml2cqVd\nZk1R+b2FBlog0Ylzj/96/lv5O3GsPtmww7IW0k9Fm/a23bsQoc6lQrR+o502l8Usb9z6RibTkwSt\nAfqqje66hIk0O9UlZjeM9nCzjhw5wLqzxmW/yPXJqHJhzFojXawBIaOtjYFVapOtvQs0ExkuTpS4\n33kNteRmjr74BqrKMkYQ0N/+GkY8myl3jRMyQTebJ9ZpEtMPI7U2m2oHeeCBh/hCag6npdEayLFu\nSV73nt3s3ZJGhj4t95/ZTYymu45iRN7B2EiEozudDsuqjmkGOEJlRoKuGNDPoSkJ5jpRInbRKhD3\nV1BClXogyQufT37g5/nTlx5heH0z8V6UJB7MbyeUkhNXruX80vU0dUnrahNnOuArtThf2a6Q7kle\n/5zB9f138Z4T72IlUeTQgoPWCOltlG17F++m6ykM7mkz1F1nURbJrHnMJyJIbCio0Fs6gyenaWmS\nTtlFBgJ7NU0jFkEm6btuQWkfIaaVCZUh/rn8QWbC13Lh2Wm6zjaMZEBqbYF3aF9loVEgU+vxc42d\nPBfuYCgVRbYxRUUPQ34q/AFqikQISSUWNZg2uznihw7iLS6iFRQQENOi9T2Cz+E9p1DUALnR7Cfi\naWjMs8mqIXVBaFp49g68+g30vDjvvXo/3/+VT/Hlm1/N737Pe6O9txxBbbnBKVqKpGDWabdPMbJ1\nM4Z0mQldkAkUL0FBXcEPN4yAehZHU1DaCvm33YcMBQlvA3JTR+mOTBLMRJByqxcVVfilaE8MGhsT\nBWMJNN/FSE2guSpCa7E9iPI2ij2OL3wOzJ5CC6LS67hrEwQ7qVUeh2aLvqFSyMRACK5sfjN6aNOL\nL5EPGzR+7/cB6FT70JhHyID7W7fygH0zj3pR3u6VlH+PjfdxKeUHgBullB/4V48/kFJeekWv6lst\nioJ7+++z7m1jxDhGIhGNx1RTBvsbAW1NsDqdxkrqxHqRsuzFEhzML2PHRghKr+JF6SGAa7xZ3j34\nLt5S+AX2v2YMbjmOnz7FgqLTlQZpvU/J67GaBcOL8h9L9Su0wjpb3Mg7H9BbCARG2eYnbv0Ftiwn\nqTrR//m6RabT5dCFHJX4GmEuOigv4DPZPcYRM6onz/bfSSMWhcBPiTdhqxaHFBi0A8SAQX7NY3Po\nM9wQnMllMPU2N3knaCkxPpG9iY8tr5CySvzcYx6721C0xnjdyHdzG9PcW7+FwDIYCGssqyF1K8oH\nBQ0IZYyriXFCBFl7jZiTZl9hJ6+bfB1qK0FXXyVfq+EmUhirl7A3eghy1Rqd/CgX2UmAYPdABAVY\nyQ6KIlH9PoVeFhEK1vUKU/05qpkc5VwatzBM3OmChCP1GG84cYRRL0d/9QR/oYxyvUxwKqkge+uM\nsgU72eWpa9/JJ/sms9gEtoqdibNZajw8cz8fThzDq17gaGaSaTXOmj2PuP5VxG54H6PePkAwXFni\n/pVFYkGA6yqM1SMFfvbiGwiTBRadaE0WrCGGEi8x3NpKPYCEmaS9VmVtcDuql0RvR9/fq6sEEjzb\n5+j4f0dPvJ6uW6K/U/KCrZLzx/nlfwz5nsf67Bi/i5ZUmU8OklmJDFVCCVHVGp1wC8tXUsQLHq9K\nncFVDMxumqY5QVNLQXOB+swDOOE0ZzIai1OR5y3qbfp6tF9KP/2T5Pa/iKo/wZo3hYdFu9dmyQnQ\nRqbQkyGrzQE+5L+ZX469mw8MxBhG4Qfc97PeinB4vdniT3Lfy2klx5uybdC/MXu+4g0RH4heF3aW\nEVJQdVfohC7dwGE69o/kF33smg4IfM+EWI4L504RJiMlrVZAFZJmv0AQmHzf/f/C659+lMXSMION\nKvWNkcgJM0VTkQylXYTQ2DJ8e3R+3ahKUbQmsE4pBBu5QkMp41kCPUii56MIItmNkAOvG6Oj2YSx\nyBi3nYhndqkYjS4YNDSklDiKStjtoJQ2Ifpp/JjHUHgVNZAYzl48zSfwdfYuRbBmyu4jwwO0Zp5H\nSEloCURhHEUbp5ncweTqYwg1INXqoNeiSLj8mS9DfQaJ4CF5LX9614f4n3d//N9Rct8ceTnmqSeE\n+F0hxBeFEI9+7fGKX9m3WObKA4DCq7UHSFQjegk1Y3BgY2jPqZLBwFgSw4/gmlgxwXCsg7Pnu9AG\n4rxoRcOK9teOI5MlivoMnPs8O/wiSvIqfcViJUyT1SUDjkvP0ikF44DDQv8Si8oK43a0YZ2Ng9xr\nNuh22ggkFzPDbPIiZTGoCaaW40wqkzx57Rxpt8eRXoWEu85zGwnKQSdNIvAglDyBwRCCe7QAq29S\nSLbI15tMoTL3yCiPX7qWz9/2bbz33v+LHYcf4FPeQRy/y2LquzhauJN+8MO8Zvi7UYTOS71o3G1e\nHyQja/QUmFOipPbS6TaVVBG/r1Azsij+Ctn+IJneM7x24rVk+kVcpUKhWkVqBlIoEEuQ6PfR+gEP\nVDo8xh0AfKzWRRASJvoEror0uySUHH9/+bdYUUCWbWKegzMySVGus/fgAFuKj7Jp+DTFTo37jed5\nbkiiawY3S5Wj2ejQB415umNjBKrGcm6YG1YizzOR7nNzKsGfqyaf2rKb8/YzVKxDWEKjEy4y+G23\nYg9tRZmFpJFluHyRJ5eOEe8HuG2N3VeixHG5ciMXjF2UN7zLrhZnOLvERGMnjcBDKBqx4f2UlKig\nwuh52MoAwo6hqja3PvWrZCuPoBjTnNx5B5eEQlcGuOn7cE0dlZDvPfpepNVhMRUpNmEkGT2wBTN4\nnkRiK96pJF4o2F2MiCF9L0+glaioGR5/Ls/FS/vx5QRn0wrnX/3Gr5PP9c0QEVPQRrZyMrUZQ3uS\ndjgdrVu3wWo2j57V0HMWRs/mL+z7qA/exERuN3+UThCXDj9SfRMdLcXxxDR/L2/lkK3ylkNnKMU3\nOFKloBLkkeXHUbNZ3JmogqhojnJJ+NzonEFTmuQvdKK6XCBotJD73s7JVZd4JnpOKdsk9S4NL8FR\n7wBaJstPffyvef3Tj3LrqSOsd6PoxbVD+grs2byfHTt+k7y3CRAknEgR+7VJ1BMaemyAfthnvZNA\nxsBSYshGC0UPsSo6oSdwew6Ou4q7K2ID7odLSFdwLrkHUxGkNZVOp4On6oS+Rz87RMsbpJNQCbU5\nYr0AU+4n1HrYmNzVKvOxPVOUQg/bHkasR+dIxCQLXQ0tdgtGUGPk0pfRPA99pY8l+ghCai+eoXW2\nRlOkmRodppB45WlM4OUZkH8gojGZAj4AzAIvvILX9J9Crp5Yw9ZdPK2J/uVfBt9FTRuM9iUFJ+Ql\nQzK0OY0qQfMlhbyDE6jEb/kRvLzJ+VS0tPvqxxF2i7Yyzvjqh5luxVDjkafRwyBr6OQ3jFLW2IGv\nXOVLe1b4fOkZ4l6MlCcp61FkgoAjX/otlGScK4UpxpuR1zSSSaEIlfft+EmaKY9ieIEjHR9fGFzU\nokgl3TWZ6DuoV9s0wpD3Y5FUM0hUtlf+HgVJthkZLG9Z5aXBnQz56+xvnSPTeYyUnuUtra28Mfdd\nmNphzjee4yvlR7nYPgrAlDtGwtwgqHNCkIKZl6osZfMoLY/VVJowKDPpjXO8/DS9qytoUicUaxTW\nqwjAGckiEgly3Q6Bq/DF0jW8yA0AXOza6EoTma3jujp9vYmvKsSDOK9d2s1qVeU1548iFIVX2U9w\nxisTNPOMbznGPeG1ZNUSV5J9Pm0+yxa6PDFwCAksV2Z4cgOOrGdy3FaOigJGjC6vDRRaRgqpxPjD\nG2oUxEZFTbbDQ48/zkl9ES3QiCdSDK2tkOicRfcl/rrGYPtFumHIdlR+dfEeVpVvYNFS7TLW2EFj\ng/bCKuxgVyOg47dIdQLaakTYF7bW6GULSPcZtN7fkCk9x/NtEzMwaBnX0B3ZCQjCU1VaGqynIqWs\nFrZhFlIozil0NYaW3UpPVylsjBtoaoPEvRRPr/4Upys3sda+D1BZT3S4Oj4dsQ4LQHUx0xI0g/nE\nJjLhCl0/oveoi5CnR/cyVynjmXH0MGDMrvBjm4cJqjbb793JR5N/jqMYfK54H18Yv4tdQZd7lTZa\n+gXunozGAClBDFeonLlao3zzFH8qP4cfRtHaktfktptriB74z5vfWL9+n2DqjZwMJtEzAq3vINyQ\nnNVAIjgSvobVkc2oYciP/+PfctOJp77+3vV+ZHCmx6cZGf52wmUbU8ti9aM+q3LtAL9++88QN3K0\nRI9LnYjMMWXahAvzWDkP78oSgZ0hCKJil34yito8s4NiG6wGUf5DCMH6+jrhBr1P0+1yWZ1AUQST\npiR0NRQvh8o6IBjIZHltMUOpVKLRUNAaEYStxgMuNrajaEMMOg+ihj6pdht1xiW1PUs8a+EXx1h5\nNsVsI88t24pceK7M2aeX/y3V9k2Vl2NAClLKvwa8DVjr3cCNr/B1fUvFtX0WztXo5tb5Nf+dKOuX\n4MifoZgaiqlyoC94odtnYCzCaTfVevQMnaPyZvT0AKeTglCJNuq+9kXw+6yXvoOMnGVs+QQpr0ac\nqPw1oUp6/ehGd/VBVs0LhApcTEfPber4LBoRq2dqxGHl7Cpru3bhqzrJ9SiBdviGGzl035u5Zfow\nO5cmWJ24QE1anB39dgo7xsgbebQgYMtaB+1qm+GUyk3omCJKIB8IH6Nt5uhWosRqutviw8s/yD8c\n/1mGa1eQ9lm+d+H7eP9x6IV9PqI8zTHnGULFwHe6NFSPKXsUxfDQga4jUKSG0wtYzKQRdkA5nwDp\nkPW28Yt8kE/Mboz/DJYobIyjvbzvEK6ikXcaVGWWh9L3AKDV3WhUV24JEethxFzKyeg9ddHhTu9G\nRoOAscY6A+k1bFvjxLkXSfYHEAoUjHWC/H7ucw7hSY9ZYwFpZmknMnjdWU5nVW5cjyKEZG0IVJ28\n95uMPDKHo0eVXjMjm7hG7dD26vhJlWq1ynl1iYCQdGyAmBuyd4PGwl3VseJd+nqDvaHKmVaW5RiU\nNijn14wME66g310i7NdJ2YJd602a3hqZXoATXEOoOGj5OJnaKtV4nAn/EvrQcU7agi3r+/mhB/uc\nHX89rp4gPVBlScaxv2ZABrajdK9AXCOUAergbrx8npQW5euuFrbznoda9JxRbsn8BXk1ijmUVJOr\nWhTtKhKGmj5GrAe+Q9Zv4wqNrow+oyPgxsUXEO0VFqMAnZTdY9dSHzVjENszwM6izkfM36MTy7Ap\nAXe2C0xuXcK253jtpjsBiPWjqOnXY9fyvv2neHKsT8ONiiQ6wRqbSo+SOAu9pSgHoA1GPVfzy1Ah\nh5vSGahGcGEyFjkwVbmVR8ciIzyzZQvrhkncMFAErDiRUh7LxZBeiLvUIWPGMZxV6oQEnRFe3H0N\nCSOPplagHn25BFVkt00s7+JcmcHUxlCsNoGr4DSiJlktZWP6Bmuu//X8x/r6OqEZRQNL9RVeNCN+\nPVUJqftJgpaH6kWRYSwWva5UKlGprBPvRtGwEQ9pdF4FQQWTKEJLtTqYLYfUlCCZs2B4AKFK5NMh\nh8finH1qmfPPviJUgf8PeTkGxNv4d0UIca8Q4iARE+5/WfHdkD23jiJLZ3kwuJ7m+EH46gehPkds\n7wA3FFLM2y4yF3mVm6stKhN3cu0vfQqAl9QApKQQ2Ay50ebSJ/ZR9SaIdx9le02npEbeoBX2mYu9\niAhd5k2TsjkLQMPoEBKyu91l2Roink2Qmmhg10wqI3nUwEf0OqTtPgdvvJnbvufdxFMGr56/GyUZ\npaieTLyWBg02ZTbR9Tp8IdARqmBoPIo0YlIjqXRJKG3Ugc2YSz5rpehAr3ZSVHtxROs8ApdrG5t5\nQfRJf+an0KvnmS1M8sgNh1ADWNA9Ntuj9KwaaV3gdzW0UMdVoSKig1QdiHpo6p6GRGEljBSV5q5i\nui4iniBXdpEI5mI5tL7HTfLxqBChv8GcMxLRmOjSZz0R9cDMBfM0NJd+rsil4iiNfAI5eh2WnmLT\nRoVXO36FA/UAyxXEW23mlXWuC7tczG4i3Z5DBAE/fHwD3mlXcTMFsvrfcG76LKGa3dgVu9kfxlmz\nF5hrB2SzWUIhaYguY0Re+dcStd/347/H3NQoXvYyBaFyY1ahk1CZVqK1WLCGGDHO4PcuEdRnqC88\nzMmFT9I0KsQIkfYBnOQigi6eruELwUC6wzFVxQV+3H2cKyMhtjLGszd8gJO8hQWZxctOol7zHeib\nXoVSO4Fnbabdv4I6vJtqEMfyQ4bcOosDB0CCtuMj7It9hU3mKv1QMoZH4sL5iLEYiPcFRtKD6mUO\nNk9xPLONnhEpaQeVlhGQtfvkZKSUB/o2ykKH5M0jCFWBwZ3coFzgwXek+JWih4lg8roEYegyuTFH\nxzer6BLa3iTvX4ef+6RO3YmiAVNZQMo2pZodWTQpSd0dRS7Hzi0iBbTjSTZVr3L7+BOUBqKIwPQt\nvpyYgkwGAh8/9BlZWGWLbbPiR0p6LBfDXe5AICmZDZAdWkGfTGiiByFJJcGgf44E0T4zvQ6KqGPk\nBdLzyChjGCmP/loBr90mUF2MlEeq02LVtin9KwOiWTHMeIJLa4uc1ncTbjgSC0EJQolLZAA1LVrH\nUqmE4zhotSyOpiKNTfheBiN4gr6mIoWg0GwiFUE8v04io9PrhQzf1MJse4z+1R/Sqdsks9+I2l4p\neTkG5DeEEBng/cBPA38F/PdX9Kq+xRJPG1z/phzpgYga4MjkHSAU+OLPkH/rNg4fiGrozxz5fXTR\nJ18zWFFKGFa0OZ93bIwQ9nXnEEq0KXLJNs933oGp1NgdmIyIKGmoui3+N3PvHS3Lddf5fnalzrn7\n9Mnp5hx0g3KyjCUj28iysXHGAwaeecCMGeAx41mERzLDGAMLbOAZBxjjLEfZVrKVrqR7dZNuOuGe\nnDrnUNVVtd8f1RgGWDMiaMFvrVqdu3dV71/6/tJq4hpJs8piSGFT95jHFZIVY4udjS5lI0500E90\n3EshbRY7jGwuUwmEGeq2v79uoQiy8QP84IUGim+dh4th1hprDPkGeEQ1uKQohMbC1CM62pDnVm8L\nzSMEPF/QMSyL9h4X4XdpboRYTgcoiRV8jDIkDWIpE8WxCTcqhA2TM3un+dZdD1CVNSbMIRr+InrQ\nR9nVEaqftbSGbHj2hxar4ygaVZ+HRZdFEiMoyfar++ODGaJd75rk/HH8PYuEW0UX8I7tntXrT6/g\ndEOoLYWwEscvdWaDOR4xzhN2fVwbnmAlMIR54o3EhqfImAMI26DpFNnRksxWn0XLLwGwX6xxJjlN\nuN3gVWeeIXLhk0RbTfRajpmxKBHtIS60X+wPiQLbOEREhih0V6nrEdLpdP88miSNNI4iUYs9XAQL\n4XHmxifRkudQhOC1IgqawtJ6nUjPZck3xpD/HBYlurVlmlaRmlWgp53HkjsQbphm5jyd00/h/oBn\nqcsxmzNNjYwIc7NdRM2c5vM32SSqs5yVb2FNDjCIQnD81QhDRzSWyFWbsHUVLTrB6oqnCLdrbRqY\nfPyeCMW4B4FGVZ2q45KZi3DD1Zf4u4mfRsSmeOVbZK0SS4k0XeF5ztVoBFcInlicQml4gupwp0IH\nibk36X143IMf089/ma2LHUZ8l0hu98YarFW8eiBTb5B1BApjvLu+ghmKMNe8yFPNK8jmLKIrGNKB\nfvt18+o1RDTKxY06SlRHCoWMkucde77AYMDbP46qkZc+Gj4/luvFESJSsOPaOjk3jC4gE/ZhLXtG\n3JjwvGG3U2UIjZEtE4FAreZwop535us5+KwnMBIe34TWvVu7EcdpWJj6FoomSZgt8u0mGcPj+2Kx\nSDqTITk8SmFrlZZM0Gl52YPzvSFMBZqKx8NW2+GZL85jVTzl42zZdHSNttiNoroEtGt0XY1OJEyi\nWKA0GEPtbhIiT8uOERnsUDy+jebDDxN/6VuE+mt9Jel/q0CEECqwQ0pZk1JeklLeJaW8QUr51Vd8\nZf/G1GrNkQl63sO1loC7fhnmvg1Xv8YBzSbgWpyx/SQHNBJ1lWLTpPz5WWxXcrrWoqfAwepFcPup\neZRYU26lag6xS7MYVytsE5skbQ//39bqsBhWWDcadEP34KgZLgWuMtFyqRtBQhkdf9zClzRILufZ\nUb3GZjzDoNWh0rNZaHsB9VjMz1sv2gQCs1xa75Jr1gh003zOn+YGVIZCNjm/wsWRIK6UjGtVXBHg\nyfY4rhAks1cpJbq01oOsjSksROsMCy9TpeqUsDQV6UpkyODWC9cUT53rAAAgAElEQVS5vOso5wci\nGBj4DAcRrACCtdgASwM6St0iLEwiao5myE8l4jFHRYkRSrXYoQzS1UGG+5lbCN5a+oZ33TnAsWiQ\n5y7mQEri8RXahZ20chGGeyMk3TAWKiY97rYP8fp8l4XAGJsDJe7b9i26kRRKaZTAxhG6TotT6Qym\nb4khO0Lb1+Ba0oPsfvDpJ+jED7Ijt0S6WuF6xvNcFqSnsAebTcxQkK4Cm9YKkzclabU8YVVQ6mxq\nF+iEoVX1s+VL0lN0CqkUuuJ1im30M/W2Ci1CXZN5Yxsj2iU2x4+w4hZx+yJ7s5in6xxF4lIbeRLp\n62LddAIhXTa2w5ylMtGaRAAnqpe4TTzJkbk/YXf+a56XIj12Nl2XT+Z+gycqR1nUvaA38r0A7BVz\ntJ0W2fICM24VV4ZwGcIVy7QX/ByeXWQlm6LUr2EyIg7N+SdoK37sWAvb6bfxV3SiPcGiCFM4+j7K\nvgiTzQrfoMdfXehj79N3UZkPsvI/vs342c+yJztDsJ8+vFb12ulFjAgpYbJsCXpGnEI0yFVF42y8\nQa9uYVwQyHoHXNCGhmifPo2ezXKlJRgY8RY5HvA8v3jbxNAU8kJwWNjUNZWGBq7h4+J4lvq+fVRU\nlVSvizRNrOU6Tvk09jMe71iiSxbB5Ib3uFuykH1v3bBcNF8TLWAifEHcxz1Dz+rafCw5xOWk50UY\nI3dSFj4GXG9/FItF0uk0scE0bnGT/dUq3doI0lVYM7NsBBQqPm+/Va/4Of/ICi9+yfsuc6VI19Ao\nOYdJjjYxjC4dx6AWChNuNJgdHkdIh3D5WSwZwnL9+H7gOME77mJ69otEiq98suz/VoFIKR3g9a/4\nKv4dUqs9T9rvWWhrFRNO/iRkD8DDv4j+V2/kSP0KL0zeT3rXJPGWS1W4tF/McTlfp+1KpBAcql/4\n/veJxiaZ8QhnK68na6v4hMMh9Vn8wmG0tp29BZfNgMKMP0Ej9W6s8H0sBK4y2NHo+AIE4p4lpO47\nwfjGAoeNM+SSGVLNEr9+fYN7X5yh5TgM+a6R8pvcs3QdULBb23nu2iQOgv9MgB3dCkW/wufLdVqu\nS0DEqCg76JRdmoMxRsMKV9Jtel2d804AqcAx6VmNW70yxbAXcF72DXPj1QXuWv0Wp0Y92GvESaHq\nXh+op0IDbE740RsmKdGiwyaFZIhyzGP6qhFCDc6zXcnSCMCLLa+QsSl9TDhFmoEgS8okNycilEpN\nBpxNgnqVVn4P7XKA6e4oUelZWE7jIvFqlR9a97PqG0QtfwHpaHSb46w8McygsZO5+jmWhyOsRtuk\nGy49xSUWd+gpKmNFi1ByP9uLXiHYTFJiS8FmH5NO5JtIRXAh3GE9kOe78jkqFS8NNa/UaEw20KMq\n5UaIBb+H7m5mMujWBhKbVsBjsxFVodfqsRIYIq5VqBw7wJruWZ+p0GFqdT81+yRtpYDjrxF4703k\n11cZScPzfm/eSqo0QlWG2GvN8fMrn6Cb0mm1PKw72/O+q2u7NOwUfj1ASfgxpUNYeF7cjvBLlAIx\nTl46y5y0sFwvRT3lexSkRFN38dzecdp9PaFmg2Ry53g0dRMD/hyO5UGRvq7K84dvw2/1eGrrm2yG\nUiRFnbltYT793BLdnkPlO8+zdSaOrQVI1OYZCZTR9SSaFmOj4cGRt47eSlCtYAMXRt5GEyjoGe7d\n73l+RiVNdcHbc4kf+REAlFCIa2qMYCYAUjIVXqHXVklVKzhBlS1cbg2WaQYD1P06djiOJRTsN7+b\nmiJJN8osv+tdVL/4UdpP/hnhsIVmRKn3KmgIjvaTWtqL62i7h5GuH0WCooJdaRMY9aPmq+CqRGNj\n/OXwEE9MeJ5O5/DPADAw/00sy6JWq5FKaRTkCwRbLXYWN6leew2582+h44ZYCwpKvhS6amCXgpx4\n3RRv/oWTBI0w/naDeiiLSYrSShhHidJSQjQiYXymyemsZxyEal5j8pabYnJ0iMB//CBdfwr9sx/x\n+nC9gvRyIKxnhRB/JIS4TQhx9G+OV3RV/w6o1Zoj4AuSDlps1FSkIuB1vw+NTdi8wInRaS45PiJD\nQXQH6LnYAp6Z/9sxugeaXgsHND80NsiMhLjm3k1XeJbvUt9quaF6mD1dTwhfD3sCSGqTzAdWSZsG\nXX8ANWwDgsWpI2iOzQA5uj4/A41Vns8VqdsuX8/XyDpPYEQl735qjrhT5PjlQWbzQe5pLTKKwqG2\nF3y2ui62LNBzp3kodAOZUo7UeJkbN7YoJD2YYmMtxHjT5XDdh41DoVfn8Ru8FtHTc1eQ0ToPDH6R\npRA4uEx1R2gb6wR0m0rDZcGQuG1JVKtRlgVWsynKMQ/6qQVUROAaoVaHZgCu9i5gS4WiGyLvm+Di\n9t24QuHmWJh8tcvengcntvO7KZo60+YoYU3lQvICan2WlfIjpKwAN5QDhKwZQmfexndXvsqEfhRX\n9Fi0z5DKzdL0GzjNAnE3yF6tyEJ0CBcVNS6IN72AqeWaFIROIeTBPoWcJ1BOh9rEIyYv5lfodr1r\nVBdtEnuOEEw1sF2VGcf7/85G92K0bYRvg1bYY7PbAwUaXUE+4E2WjIoVepoCKKjho8R8CoJpLN0z\nXMojVZbmZvCPVTnd0khYaXQ3ySWxnUPODBG7xTPTN7DR9zwm+tk+wmjytuH/wvHyBzlx5rfoxc8R\n1xXqQiWqb+EKhZGlWWw3xFnDK3rLaKcImdfYGrqZs3uO4rege0DihgOE7CbnB24D3cS2vaJWzTL4\n7tGb2btRJO8LshVMEmyXePtd2yg2LZ78zT9m61d+lUpiB6dO/DdcoVF5roQQglBwmq2mV0R49/jd\nGIbHBx8vHUYAN2xcxyh4IIcaGKSx3lfk73on7cFdbGhhGnqQtg8Qgli4TqfkRy2oWCGNTWnTc3Ns\n+kNIIXCCUVzDhx7MUFckk/EO5uwc1rVHCB/czeQbg4RSYzQ7SwCckCoWNrJdRYxE8AeyNGV/0mZL\nQ5eruJuL6O4A7XR/EmHEg8Oqkb0ADCw9Sunq0xhGG8TvsdZvepopb9Ar76A6fzf0NNYCUJBBVDOC\no3bYc0BncCrGZDaB5tjU4t73Cb1LqzdFRwtTj0RRpKQuvdTvcH/UQ9NJkkmlqbcczu17B8oHfhmh\n/BsVEv4duhnYB/wa8Hv947+/kov6tya7UKB0+qv4rTQjcYV8O0G3uwmjx+DBP4d3fYXj04dxJBQT\nHtY5UHOp6YLnKi2CiiDhmIx0cziuQlc7APVNknGJVAy2jANI0SEf9oJ+t1nbmK5Z4FpUfZ4AsnzD\nXPc1sHFIOTptw8HQB3g0Mohj+KhteBtysjXDUn+a7KeWN4h3vouIThFwHF7TOc/hyjwnzWvcVPMs\n/DHTw5KDDZeQegmXFM+4XpbX1NgSu9YqnKRBK9DDnwtyzHAYrvaoiBZSwNLQIC6QrhYYOfg8CSpM\nWLOshlymzBFsTWfUraBXTZR6fyiS36sufzVnaYUihDsdbE3Qi9WwSmuYIQNTzfGUm+C8PcxMcJrz\nO/diSAfjUpUOCnu4TF3GsBqDLPsVprojlAJ55mPztPyCRf9FulqZ9y5YbDYHOPvSFSQwFdlPY+gU\n1miA8ZV5kAHK5gZ7nVHQBTPjE0Sbq7xUCRGsWvRUFUdLsaJrVHxJkC7RhmCo43IxppIKa4zSFwZu\nBEs41LtBQgkP7nyqWyK19n+xJso07AQiXKQSUtFtyeEXvozs9rA0lXXfEMcq53CERKhJimicGBxE\nCIW2LKN2EszOfhOzkKMwWiFvK0zVxqmFJ1n17yZPku/6T/Lc9A1s+b2Yw7Do4/PVIvFUFqOh4MQk\njYEWYRlgWTtO0gpyOxqH9CP8VP5NBM0foKjlaZk90te/jisUUtYR0raKTBlIx6SuBqnZu3BtH1Iq\nOKqnPKUawidUtJ5CLpREKeYZadn82vxpxj7zxxRSB1ga/QGOtP4SRdg0L65hl0oEg9PkOkV0Refm\n4ZuxfVsEXTi7biKBe/KX6I2uoCgurVwVu62iDQywudzhud0/wxllxBvtjERIF3+gRacUJL8WR/pV\n8kDT7VLTVXTbwYeC1H103TAdBXYEFhn6jY8RuPlnyd6s0MvsYrll07Q94287Kl2zhppI4ARt/FqS\nhtlvP6+FsRP7kY4k3GzjBFYYafUYdLdoyjDF+V/mQfkZYokay9/9EAcPfQcpK+QmvFoRGqXvy5mA\nCesBi1LLQXSDNCPX+cRvvED58hKhlqeY2pFdxIwVoqOn6XTHcIwAjajnxQ+4Ck/mJ3lsK4JZ+wse\nWorzkd/8BF/50E9S632VF5566J8rAl82/R8VSD/u8fePu1/phQkhloQQLwkhzgshzvSfSwohHhFC\nzPVvE6/Ebxfw8esr7+HC8h7GkyGKnTTttpelw4E3weQtHIsGEcDloActZasO+ayfs7qDLgQHzHUg\nwGJ3kOeHluiV10kYfVxUxvHrJp1+WuWSZTPaFRi9LWzD8056WoieFmfev8JEy6WmQt44yIYjCe45\niLmsgZREjQaOopDNr/Nix2bRF8UO3YSlKgyUvHqTY+UXUUzPQhrshBDSRfXVyehPMB9W0EoV3HCA\ncEqg25J7MNlImQyWfRwYs4l3BJV+0D9VK2EaLr6hFtmR6+QvJJk+d5UrUT/buqNMWgUGRBPXhiPL\nHiQkwosICZP9gPTEmmd9DtZ7OKUCom+daYFnaEg/M5Ehzu/cy/5WnSf++hlAsle7whW5F4mgqWcI\nu0GWAl6MYTUD3UyPWvB77Gq4BF+8n67TYufUG1EwKE98h3gqhNGzmF6P0e2WyDKIKgXWSBSf3cVs\n10nm6qwPDCKMEc7GozhaAs3qctRV2V91uJ6KsR4c4pZ+tsxCH3v/2OKn+eOAxNJcfDUbRfgIlz7K\n7468AWugwHoqT4Yc2R95gcOhiwA8lr6VO+oX6Sk2Qs1Az8+wNozldJjZmMFojhMI58hNVngxKNEl\nbGulOdeIMq/u5o95F89aN7A4MkoumMTvWHQMz1PKmzbtlTZqTaU3Jvnz+CQAicZ/Zaj9O/wmQXaP\n3sGN9QM0lBKfSn+Tc/UJhsvrKOYlDi8Kyvt3Y6yC1mzwcPp2ptstnH5nBEfz9kK46zI/OEG4CZvB\nFEJKZv7Tr3H80mdZSO8lYFe5sfoXHNv1CIntTZCS/O9/hGBwmorVIR7axrfLNpvb9qNsj5I/OMa3\nXvt2fuEDv8Dvxz5AKBaEOc8rDJ44wdaCZ3BdUVPohqQrBDEqqIqDVd+P0l4k2S3jCoHrBjBkk0yj\nTdjsIg0/W23PeJqyr+LUA+ijB9Dqz/DQSohgc5GO3cDul1Hq1Q2Ct9+MZZVwy4JexTv3uZEdfCnj\nQUftZYukWmR89inGuwtsiBHqrUV+iC/RHt6idWAOXe8ysfomntUHkYpCt1v/vpwJmYKC2kYiiTg2\nlq9Mzye5+sQC7ZUVbNWP459gOHqJ6PgLuIRxDR8dv2coTFgNTpdGMdUQQs2QCvg5dtfNTB55A3rw\n1dzy1re/LHn3L6FX1r/5l9NdUsrDUspj/ce/BDwmpdwBPNZ//K9OkZDJfGOaa7lhJjMpKmacSmPx\nf3lPTNfYHfLzQruDHtLIVm2+F1Yo+hQatsvB6kVMN0Ap4GKPSZr1CgGzgGp3aPZM0noaR5iApEwH\nXagMtpex9XEiPW+T2fo41wKLTLZcaorkMh7ccPDEjSgdyUBxk2Lcq1O487lvobo2fzX0Blr+O1hO\nxcB12H//HUQHtwgcvM7m/j+lc/BP+XPeyQNHf4arx1d4cedTTG3MkplyCYQmWHc+zHjvTeSSXXw9\nlWA5jt/1sdUfVTuytUbXsJm4pUzHDJA/n2b77DWuhwVpO4GrBskoXvB5vpJAaFVa8SYJO8nXfT8E\nwHh/EJNl22hVExuB3Z6kl5wjS5kLgSzzoxPsntmiar7EQKBIUqtwRTlAVxeE+h7TjOEN21kZEGRi\nu7CcQ2z5Bbs7O9CEj6xM0XKL2FqeaLhJMT2Ez1aRviiXE34mnQxOJMxWPEIndorxrQ3WMsN0QoOc\n0SK4ahzHktzbqrKn0qEWjnJe38eA7WHyp9IvANA1TV5Dl6y/Qbo1xk3hV3N7uMttyc+zMPYZ1sMW\nabeCYwXYr3vY/6PxI2QamzhuD0VNY0iNGkcxrQUKjQJmMYU/bJPeU+BsW2OqFuNW9zIJK4fTqgMC\nxzUIBE22QknCVptT/XqireQYzZkyblXlzNE9fCWxlw9Pb1LUv01c/z1+gio/mG3z6+EneGxgnkcS\nL1DtbMffs5lNPYfqwmz8HqKdBrpr89DA3ewSF3FN77wNT5YS7thcmt5JyxckF/RsubH1JwjceRdS\nNlG7JbZu92pxBg42QNepPfQQAX2MqiPIRd7C/311hSvZ4xS3h+kMRSkMjFNJRXhB3Exp/0liOW/f\nBY8do7jipdReD6VI654SG2OZoi34aqJKedDg2Kz3nyTaPqR0Gai38TdaiFCE1ZJnsA0B7YsVjN0+\nFLfD3JKN4VpIJKX+oDS1scmLlTEatU1WVmIshbxsuEFjnGSxiGUY5PJZVOGyv3yeAfJsMcRnaj/P\nHy19EGv+3SyfOsbMM3ey8LHHWbdd1HQW2f3bFuv+nkodDz6YvPJtEOCoHa4u1LE21ikndoNQGctu\nEMjMYfhVXMOPKlyUYJCh1hYg6Jz4YdTIaxiNT3LbAw+QGL4V4jv5SPlTL0Pa/cvo37sC+fv0BuCT\n/fufBH7olfiRgC/MlFvkeiXDVMYrXFrM/8OinOOxEGfqLUJ+hWzV4Qnd2wyugIOVc1wrnMSOeVZh\nVYRwtxYIN1boul3SzWEemg/hdx2U/udizUUcfZgfLHptMEKBXVwNLDLRcmkKweV8iCmnyrETNyKB\n3csvcSGzDcOxOB7UuKd4is8N3kdDBFhOxxnZXUcb+SjT964RvzlPO3kN1Ypyyrmbc/U7sVWFw+k/\n4+gPXya7bxafMoTs7WCjeoiNdB+mmO9nzaS8gKXPbBOM9Aimmpxd2Ytr+wl22zQsT2lEzSFiRhlD\n7WHaEtW/ToEC8U6cXjSBkC5j6152yOruB3Ashabtw64fpBKwGDEucyUyhlQU9s/N03Aq7Ep677/C\nPqohyDpZXFzmfJskrQCNoGCH+R6S3SE+M6ExoCTYn30VcUdl3uwQajn44musD3v1r1f23MhLCZUj\nzjQoCuf378W/XGOksEUlNsxCeCfPNk/gKAmGmgUOKAYTOc/bmTN241SmAclYcwwpHcbNLD9pN5j2\nNRjW13hT+BO8Kd7Ej8UjjR2U7QmGVgbplifZZfTPxb+N70ovxiLUNFEFfG6CUztz6IqfhRlP0CgJ\naLuCnN+irbY5pq3iT2S/vwf3NpZYj2TItstccL102i3VR8sepRBN8t+P/RyhbpVv+z+EW/w0YfUJ\n2oE8TrPD47e8jc/seAAzcIQBT04TGsxwZcyg3ZsmMu3SUKJcCh5ifHoZp+tBJ0p/GE6222Qzm6We\nTVP3x3CBrViIpZDOdGmF/3HwQZ7OBXjb/t/hDyffQeO+m6DXw/r401Qdjao6zuuTUYbOfoO3fmEB\n/xNb/Gz5Cr+q/RIJp8aZ+CiG7dJTBP59+8iv1HGRrAQjhKIqSEmi8Ti/u+VnLj7DM8frJBVv36rN\nCgJIN9oEa2W6UvDCkgdRRZ37QHH4XP45rjeS+Bs1kvv34ag+6v3MO6tdJrd3HNXokKrkGTa94kY9\nu5/jZ88RzGSIr3neyoRcwhcw6ZoRLqp+Dq4s8PyGy0d3/ShfO3AP86/z4obhYhmtHztDrePv+cCu\ng5SceP97ECg4apuimifUalNIH0BiEk+oCCGJxk1cw0dYMTEmJwk0vTU9V/GhaCZNJwm+KM2qSUP3\nBr690vTvWYFI4DtCiBeFEO/rP5eVUv6NJN8Csv/4R/9lpKoB9js95kgylvQCeMvFyj9438lYiKbj\nggrJpstGWsfXT3o41Jwhlb+I3Z92u8EYMr+Ir7eOcFWq5WG+UfotImYIoXkKRNp1EBoHOxuMdHMY\noT3MBJcYb7vMsovvhQ/xwObDBMNhqvEM25eucS08zY7WEnfdNMU7c1+jrIf4VqKMHZSkj+dwK9u5\n8pU9XPz4TpKP/EfGzv5nTrk/xtPuHcxX3stXr9xPczOEHm1TbnyX9cMf4VTqGXo+SS3Uwy1PAnDi\ncAYcB1fA2Egbq51gppJCKJ477ct712fKHCU0eZqA4VnDin8DS1qkuimK0SSpdoNos4bqOuRyGyAF\nG8ExhJXmfeku7731S+zZdR1dmoy8/q957Vsf5wfVb7NxIcsmI1TCDmO9DAWtTFcxuaHlZYg9lPpD\nPnTkMqfTLbpOm12BA9Rdm4eIEm838UU3CSlThA6YnNt9mDXFJS5DJC2DenaY7esLqFKyJMPU59po\nehmhxtnT3kANponnZlFch44vTqeRAQS7q7sRErItQbDrosYEE7et0+uG+QV+n4dzB/larURdV5nq\nNbGaWQZDq2A5dByFT2pe4oSiphnQPVb8S99jXJ1sUM3VaRT8vGiqRG2JpgV5llupC4X4gTtpGwEU\nHIYqOUq+GJONLVY0z0NYlS610B5+9cd/lq7qZ//ilxDSxNj0IMRtxhbDmwU+/AcfItyTtGNvwt26\niB1N8xOlt3Bup4EmekSG2zySvIMDjTms3hq0PHaTsX7hYLdFbihDY3AURw9z/tZfpnrPnby4dp2Z\nW4/z4vh+ntDv5PHUjXxu6F5eOrwbNI3WFx6mJKZwhMGzz65hdlKkTU9BX23OE1XivHnz2zw/uIOt\neIxGKACjUzRKJmVFYikKVsKPape5Wr3AoGpwZP0BSnYONeldA7O1RFALISQE222ErmN2LqNKSVAe\nYUE+Q2PrAo9s7iA9OgYjKVqRFB3Ti1HMBgMk7/K8xcjsNdrbpvhe+0HOmzsI3XgSu9EgfckL/icm\n2ggBh/PD1AJhLu04woOf+zzrySwvpbbz9LYpBqwmqUIJ3TJxpY2ub+K3Q8RbFUKBIKn7X4dqB1C1\nAmZgi0QPSql9uHoes7eN/IUHSdQbSM1ACA1jagq3U8NF8HxJIRwwabkp8EVolDt03Bx79fF/hvT7\np9H/UYEIId74jxyvEkIMvMJru1VKeRS4D3i/EOL2v/uilFLCP1SxQoj3CSHOCCHOFAqFv//yy6b9\nMYW2auA63k+sVkyklLx49m3Mzf0m4HkgAPl+37JUzSalq0R7JuPdTboLNu6Ad4nbfh9muYAMaiSK\nR+n0dBTh4LMiuMLE7VZo6l6gLjfZZNQp09YGKWlV9F6Zp8Ud7Ggt8zMLH4fNC6yObiNZLLCkTLLX\nmiOz+mVuLV8k3bH5yrhG5lAFEbSZmnk7ZusQrqUyU/NamE37LTb8ab48djfRlxo0Th1GCIhbt/Hd\ntI/8eJmbGtsh1iTUG8JRO3RWnsHoeIG9UKrLWmGSBA3oB26HN1tUdMlUdwQruk4oPMMIBUJ+z0pK\nmSly/jDT7Q0UJUmk3WS9bzGvySz3T36XvQGX+U6Ic+5RdtXmiF6Kslw+xOqpIXJnPE2cj7pMWFl6\nwlO6+1/yFNXF0CLXo4PEKi1m++d5zalzMazhdGMIxWFPe53qnSdZTSeIrW6CdDnkjiJ1g/ntXvLC\nVT2LMxwk4qtiq1FGLc/azrdXGe/WiCRDNGTfqwz4vdxON4K/7dDeoxFIWqydvoV1McY9ZgjXdwsA\nGUulU26jG120XpOmnmOk6UcRGogwA5rAIc8H9/8XZsdbWJrLxeczXOmo7C9GeX3z9Qjg1MjDfKb2\nAp+66TU8sesoFSuCKxSmqxts9dpcxeYpevzF8Vu4vG0X79/8GMJZI+DqaGteDc5OZZWtUIrDV8+x\nZ3EOV82QzbX4zo4yL93wCHHVJjZwHk2x+Muhu9mzPEfHLuH2u9BafgNNtUl0TTaTGbbUBEFhYNgm\n+54+w46uy0KjzIPrX2A2680ZuR4cZXRhF9HXvR5pmmzf9IaaNjZa/Nwdd6I7C0TtBovtCDvGfpo3\nX/8Wtqrx0O2vojM2Qinn1WZUHC9DbTEbQrNmuCMseAeHGGzfzYRzhIDQSFlFtF6Jjt3BiUfJlDxv\npKFHiPaqPFv4HJOxx9hplum4Ovf+9M9TrTWpJdI4Tc8+PZUYYLPpyQ+1IXhmsMF3OEmpCJH77mPV\nF8TouLh2grTXnYRDW0k0oGX1mDt0FEd4e+fp5AluqzxL/sbbEEhcigih4LdDJNpNAkNDNCpdFNtP\n099DKi5OJ4qtR+gGqpSrAYqz92KsXAIhMM0wxtQUHceioUVwFI1kqEvTSYERolntstIMcuXjLTwx\n+crRy/FA/gNe9fnb+8efAf8JeEYI8c5XamFSyvX+bR74MnACyAkhhgD6t/l/5HN/KqU8JqU8lslk\n/v7LL5sODnnu+tJKDr/mslHXaDQuUa0+z+raJ2i3lxjzG2RVlStZjzGzVQepCvY313DsGD2h4Po8\nYaOE6jxfPUkh7AmUg3tDDKQ7yN4AFib0ytQDAyAdLKEz7hQpumGk0PnMyCoNEeHDs7+DX1rIhe9x\nedsBmqEoLRFh0FjGyJ3FHL2V7GqVpeERlEOC0MIO/PUpIr4h8PlYac3TtutMUGDNn+VS3SJezZNO\ne4owtPFWfl/5AF+I/DcuTvw0vqEhYlqGlr6FazxLoOd5GXFrF8u9FhNODdcI0Ysk8NsBrodUps0x\nljo+fiX6KE/5fo69zJHypQjYQXKanwPdK2iRYcL1Miv9mgmR6XHv8CWumDE+U4tR1jPsP71C8hvD\nfPPyOJVginx8kHS5QDPoMminsIXn6g3PLmDYkrxmoEmDcHWG2foZnuYCLwQqyLBOoelZzonAKi+0\nb0G4kpvPn0G21hjQU7iuS3lolHwowNC+Nez9UerBLgiFrIji2h0qVpEDmkMt6sPEBsfmgQlPQLgY\ndGQAZbhKaSlGZ1lBdV02fVluKO8HYLwTptevOI4oszjaAJyMZCsAACAASURBVPs6aTQtQaBXJqUJ\nTHOFxK//Ob/zyF6WhpuE1sNEGwZZ9yYa1QaxkJ9ad4rrgTBGr8vswDif3v5a79zMB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BVe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XJHjtDQ2YKQgsjgzfyfo28nmFSBwa16K5OZcf64s0BRFNn1pltIzJzhRy9/jaNP/4rp8VGy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\nD5y3vRRI33FLS3n9DuHSw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yNqBht6ufIg07qr7Bc9Xc0srUZxawcWsja7Y0c+NZE/jzxYchRtYYtI8BZURC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\n36SptZWrPrI3n//QaOr9aXQyHPdLcOCCsxYhYTJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Have to run previous python cell first\n", "A_noisy = A + numpy.random.normal(scale=0.2*numpy.max(A), size=A.shape)\n", "\n", "xhat = numpy.dot(A_noisy, d)\n", "\n", "pyplot.plot(x, A_noisy)\n", "xlabel('x')\n", "ylabel('firing rate (Hz)')\n", "\n", "figure()\n", "plot(x, x)\n", "plot(x, xhat)\n", "xlabel('$x$')\n", "ylabel('$\\hat{x}$')\n", "ylim(-1, 1)\n", "xlim(-1, 1)\n", "\n", "print('RMSE %g' % np.sqrt(np.average((x-xhat)**2)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What if we just increase the number of neurons? Will it help?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Taking noise into account\n", "\n", "- Include noise while solving for decoders\n", "\n", " - Introduce noise term $\\eta$\n", "\n", "$ \n", "\\begin{align}\n", "\\hat{x} &= \\sum_i(a_i+\\eta)d_i \\\\\n", "E &= {1 \\over 2} \\int_{-1}^1 (x-\\hat{x})^2 \\;dx d\\eta\\\\\n", " &= {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i(a_i+\\eta)d_i\\right)^2 \\;dx d\\eta\\\\\n", " &= {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i - \\sum \\eta d_i \\right)^2 \\;dx d\\eta\n", "\\end{align}\n", "$\n", "- Assume noise is gaussian, independent, mean zero, and has the same variance for each neuron\n", " - $\\eta = \\mathcal{N}(0, \\sigma)$\n", " - All the noise cross-terms disappear (independent)\n", "\n", "$ \n", "\\begin{align}\n", "E &= {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i \\right)^2 \\;dx + \\sum_{i,j} d_i d_j <\\eta_i \\eta_j>_\\eta \\\\\n", " &= {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i \\right)^2 \\;dx + \\sum_{i} d_i d_i <\\eta_i \\eta_i>_\\eta \n", "\\end{align}\n", "$\n", "\n", "- Since the average of $\\eta_i \\eta_i$ noise is its variance (since the mean is zero), $\\sigma^2$, we get\n", " \n", "$ \n", "\\begin{align}\n", "E = {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i \\right)^2 \\;dx + \\sigma^2 \\sum_i d_i^2 \n", "\\end{align}\n", "$\n", "\n", "- The practical result is that, when computing the decoder, we get\n", "\n", "$ \n", "\\begin{align}\n", "\\Gamma_{ij} = \\sum_x a_i a_j / S + \\sigma^2 \\delta_{ij}\n", "\\end{align}\n", "$\n", "\n", "\n", "- Where $\\delta_{ij}$ is the Kronecker delta: http://en.wikipedia.org/wiki/Kronecker_delta\n", " \n", "- To simplfy computing this using matrices, this can be written as $\\Gamma=A^T A /S + \\sigma^2 I$\n", "\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Building finished in 0:00:01. \n", "RMSE 0.0873624\n" ] }, { "data": { "image/png": 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FeN9yCefAAADZLVtYH0nREEhRLbvYNmaIw5GFI6TTaSLlE/T29rJx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GRs/cTuMqfix8pjN9PTdYU+/U65l1o6BukHwGDv9zabktw0pAQT0vT0zqmrhVDwioBhxy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\nVxEpJyKLRSTK/uyfTb0MEdl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy\n", "import nengo\n", "from nengo.utils.ensemble import tuning_curves\n", "from nengo.dists import Uniform\n", "\n", "model = nengo.Network(label='Neurons', seed=1)\n", "with model:\n", " neurons = nengo.Ensemble(N, dimensions=1, \n", " max_rates=Uniform(100,200)) #Defaults to LIF neurons, \n", " #with random gains and biases for\n", " #neurons between 100-200hz over -1,1\n", "\n", " connection = nengo.Connection(neurons, neurons, #This is just to generate the decoders\n", " solver=nengo.solvers.LstsqNoise(noise=0.2)) #Add noise\n", " \n", "sim = nengo.Simulator(model)\n", "\n", "d = sim.data[connection].weights.T\n", "\n", "x, A = tuning_curves(neurons, sim)\n", "\n", "A_noisy = A + numpy.random.normal(scale=0.2*numpy.max(A), size=A.shape)\n", "\n", "xhat = numpy.dot(A_noisy, d)\n", "\n", "pyplot.plot(x, A_noisy)\n", "xlabel('x')\n", "ylabel('firing rate (Hz)')\n", "\n", "figure()\n", "plot(x, x)\n", "plot(x, xhat)\n", "xlabel('$x$')\n", "ylabel('$\\hat{x}$')\n", "ylim(-1, 1)\n", "xlim(-1, 1)\n", "\n", "print('RMSE %g' % np.sqrt(np.average((x-xhat)**2)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Number of neurons\n", "\n", "- What happens to the error with more neurons?\n", " - Note that the error has two parts:\n", " \n", "$ \n", "\\begin{align}\n", "E = {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i \\right)^2 \\;dx + \\sigma^2 \\sum_i d_i^2 \n", "\\end{align}\n", "$ \n", "\n", "- Error due to static distortion (i.e. the error introduced by the decoders themselves)\n", " - This is present regardless of noise\n", " \n", "$ \n", "\\begin{align}\n", "E_{distortion} = {1 \\over 2} \\int_{-1}^1 \\left(x-\\sum_i a_i d_i \\right)^2 dx \n", "\\end{align}\n", "$ \n", "\n", "\n", "- Error due to noise\n", " \n", "$\n", "\\begin{align}\n", "E_{noise} = \\sigma^2 \\sum_i d_i^2 \n", "\\end{align}\n", "$ \n", " \n", "- What do these look like as number of neurons $N$ increases? " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "- Noise error is proportional to $1/N$\n", "- Distortion error is proportional to $1/N^2$\n", "- Remember this error $E$ is defined as\n", "\n", "$ E = {1 \\over 2} \\int_{-1}^1 (x-\\hat{x})^2 dx $\n", "\n", "- So that's actually a squared error term\n", "\n", "- Also, as number of neurons is greater than 100 or so, the error is dominated by the noise term ($1/N$)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Examples\n", "\n", "- Methodology for building models with the Neural Engineering Framework (outlined in Chapter 1)\n", " 1. System Description: Describe the system of interest in terms of the neural data, architecture, computations, representations, etc. (e.g. response functions, tuning curves, etc.)\n", " 2. Design Specification: Add additional performance constraints (e.g. bandwidth, noise, SNR, dynamic range, stability, etc.)\n", " 3. Implement the model: Employ the NEF principles given the System Description and Design Specification" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Example 1: Horizontal Eye Control (1D)\n", "\n", "From http://www.nature.com/nrn/journal/v3/n12/full/nrn986.html\n", "\n", "\n", "\n", "There are also neurons whose response goes the other way. All of the neurons are directly connected to the muscle controlling the horizontal direction of the eye, and that's the only thing that muscle does, so we're pretty sure this is what's being repreesnted.\n", "\n", "- System Description\n", "\n", " - We've only done the first NEF principle, so that's all we'll worry about\n", " - What is being represented?\n", " - $x$ is the horizontal position\n", " - Tuning curves: extremely linear (high $\\tau_{RC}$, low $\\tau_{ref}$)\n", " - some have $e=1$, some have $e=-1$\n", " - these are often called \"on\" and \"off\" neurons, respectively\n", " - Firing rates of up to 300Hz\n", " \n", "- Design Specification\n", " - Range of values for $x$: -60 degrees to +60 degrees\n", " - Normal levels of noise: $\\sigma$ is 20% of maximum firing rate\n", " - the book goes a bit higher, with $\\sigma^2=0.1$, meaning that $\\sigma = \\sqrt{0.1} \\approx 0.32$ times the maximum firing rate\n", "\n", "- Implementation\n", " - Examine the tuning curves\n", " - Then use principle 1" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r", "Building finished in 0:00:01. \r\n" ] }, { "data": { "image/png": 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0/+w9QWpxGD7uTenatUut3suNpgSIKgryDKKBRQM2Xih7Smo7b0cmdW/Msr+j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#%pylab inline\n", "import numpy\n", "import nengo\n", "from nengo.utils.ensemble import tuning_curves\n", "from nengo.dists import Uniform\n", "\n", "N = 10\n", "tau_rc = 20\n", "tau_ref = .001\n", "lif_model = nengo.LIFRate(tau_rc=tau_rc, tau_ref=tau_ref)\n", "\n", "model = nengo.Network(label='Neurons')\n", "with model:\n", " neurons = nengo.Ensemble(N, dimensions=1, \n", " max_rates = Uniform(250,300),\n", " neuron_type = lif_model)\n", "sim = nengo.Simulator(model)\n", "\n", "x, A = tuning_curves(neurons, sim)\n", "\n", "plot(x, A)\n", "xlabel('x')\n", "ylabel('firing rate (Hz)');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- How good is the representation?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Building finished in 0:00:01. \n", "RMSE with 10 neurons is 0.19812\n" ] }, { "data": { "image/png": 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HkwLQBiBWKRWllPIDJgFnZbMppXoB/8EEn8M2x4OVUv6W96HAIGzmjoQQmPkb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\nThfxzOytTJq+llINX97dn1ev7i7BRwh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Have to run previous code cell first\n", "noise = 0.2\n", "\n", "with model:\n", " connection = nengo.Connection(neurons, neurons, #This is just to generate the decoders\n", " solver=nengo.solvers.LstsqNoise(noise=0.2)) #Add noise ###NEW\n", " \n", "sim = nengo.Simulator(model)\n", "\n", "d = sim.data[connection].weights.T\n", "x, A = tuning_curves(neurons, sim)\n", "A_noisy = A + numpy.random.normal(scale=noise*numpy.max(A), size=A.shape)\n", "xhat = numpy.dot(A_noisy, d)\n", "\n", "print('RMSE with %d neurons is %g'%(N, np.sqrt(np.average((x-xhat)**2))))\n", "\n", "figure()\n", "plot(x, x)\n", "plot(x, xhat)\n", "xlabel('$x$')\n", "ylabel('$\\hat{x}$')\n", "ylim(-1, 1)\n", "xlim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Possible questions\n", " - How many neurons do we need for a particular level of accuracy?\n", " - What happens with different firing rates?\n", " - What happens with different distributions of x-intercepts?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 2: Arm Movements (2D)\n", "\n", "- [Georgopoulos et al., 1982. \"On the relations between the direction of two-dimensional arm movements and cell discharge in primate motor cortex.\"](http://www.ncbi.nlm.nih.gov/pubmed/7143039)\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- System Description\n", "\n", " - What is being represented?\n", " - $x$ is the hand position\n", " - Note that this is *different* from what Georgopoulos talks about in this initial paper\n", " - Initial paper only looks at those 8 positions, so it only talks about direction of movement (angle but not magnitude)\n", " - More recent work in the same area shows the cells do respond to both (Fu et al, 1993; Messier and Kalaska, 2000)\n", " - Bell-shaped tuning curves\n", " - Encoders: randomly distributed around the unit circle\n", " - Firing rates of up to 60Hz\n", " \n", "- Design Specification\n", " - Range of values for $x$: Anywhere within a unit circle (or perhaps some other radius)\n", " - Normal levels of noise: $\\sigma$ is 20% of maximum firing rate\n", " - the book goes a bit higher, with $\\sigma^2=0.1$, meaning that $\\sigma = \\sqrt{0.1} \\approx 0.32$ times the maximum \n", "- Implementation\n", " - Examine the tuning curves" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy\n", "import nengo\n", "\n", "n = nengo.neurons.LIFRate() \n", "\n", "theta = numpy.linspace(-numpy.pi, numpy.pi, 100)\n", "x = numpy.array([numpy.sin(theta), numpy.cos(theta)])\n", "\n", "e = numpy.array([1.0, 0]) \n", "\n", "plot(theta*180/numpy.pi, n.rates(numpy.dot(x.T, e), bias=1, gain=0.2)) #bias 1->1.5\n", "xlabel('angle')\n", "ylabel('firing rate')\n", "xlim(-180, 180)\n", "show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Does it match empirical data?\n", " - When tuning curves are plotted just considering $\\theta$, they are fit by $a_i=b_0+b_1cos(\\theta-\\theta_e)$ \n", " - Where $\\theta_e$ is the angle for the encoder $e_i$ and $b_0$ and $b_1$ are constants\n", " \n", "- Interestingly, Georgopoulos suggests doing linear decoding:\n", " - $\\hat{x}=\\sum_i a_i e_i$\n", " - This gives a somewhat decent estimate of the direction of movement (but a terrible estimate of magnitude)\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Higher-dimensional Tuning\n", "- Note that there can be different ways of organizing the representation of a higher dimensional space\n", "\n", "\n", "\n", "- Here, the neurons respond to angular velocity. This is a 3D vector. \n", "- But, instead of randomly distributing encoders around the 3D space, they are aligned with a major axis\n", " - encoders are chosen from [1,0,0], [-1,0,0], [0,1,0], [0,-1,0], [0,0,1], [0,0,-1]\n", "- This can affect on the representation\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Administrative Notes\n", "\n", "- Assignment 1 has been posted \n", " - [HTML](http://nbviewer.ipython.org/github/tcstewar/syde556-1/blob/master/Assignment%201.ipynb)\n", "- Due: January 22rd at midnight\n", "- Total marks: 20 (20% of final grade)\n", "- Late penalty: 1 mark per day\n", "- It is recommended that you use a language with a matrix library and graphing capabilities. Two main suggestions are Python and MATLAB.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "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": "3.6.1" }, "livereveal": { "scroll": true, "start_slideshow_at": "selected" } }, "nbformat": 4, "nbformat_minor": 1 }