{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SYDE 556/750: Simulating Neurobiological Systems\n",
"\n",
"Terry Stewart\n",
"\n",
"Accompanying Readings: Chapter 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Representation\n",
"\n",
"- Activity of neurons change over time\n",
"\n",
"\n",
"\n",
"- This probably means something\n",
"- Sometimes it's pretty clear what it means\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"- Some sort of mapping between activity and some value\n",
" - my location\n",
" - head tilt\n",
" - image\n",
" - remembered location\n",
" \n",
"- Let's call this \"representation\"\n",
" - And let's assume this is true for *every* neuron in the brain\n",
" - There's always some value that its activity relates to"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Representation formalism\n",
"\n",
"- value being represented: $x$\n",
"- neural activity: $a$\n",
"\n",
"### Encoding and decoding\n",
"\n",
"- Lossless 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",
"## Distributed representation\n",
"\n",
"- not just one neuron per $x$ value\n",
" - many different $a$ values for a single $x$\n",
"- encoding: $a_i = f_i(x)$\n",
"- decoding: $\\hat{x} = g(a_0, a_1, a_2, a_3, ...)$\n",
"\n",
"## Example: binary representation\n",
"\n",
"$$\n",
"a_i = \\begin{cases}\n",
" 1 &\\mbox{if } x \\mod {2^{i+1}} \\ge 2^{i} \\\\ \n",
" 0 &\\mbox{otherwise} \n",
" \\end{cases}\n",
"$$\n",
"\n",
"$$\n",
"\\hat{x} = a_0*1 + a_1*2+ a_2*4 + a_3*8\n",
"$$\n",
"\n",
"--------------------\n",
"\n",
"$x = 13$\n",
"\n",
"$a_0 = 1$\n",
"\n",
"$a_1 = 0$\n",
"\n",
"$a_2 = 1$\n",
"\n",
"$a_3 = 1$\n",
"\n",
"$\\hat{x} = 1*1+0*2+1*4+1*8 = 13$\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Linear decoding\n",
"\n",
"- Special case\n",
"- write decoder as $\\hat{x} = \\sum_i(a_i d_i)$\n",
"\n",
"- linear decoding is nice and simple\n",
" - works fine with non-linear encoding (!)\n",
" \n",
"- We'll use linear decoding, but what about the encoding?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"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",
"collapsed": false,
"input": [
"# Rectified linear neuron\n",
"\n",
"import numpy\n",
"def rectified_linear(J, gain=100):\n",
" return numpy.maximum(J*gain,0)\n",
"\n",
"J = numpy.linspace(-1,1,100)\n",
"\n",
"import pylab\n",
"pylab.plot(J, rectified_linear(J))\n",
"pylab.xlabel('J (current)')\n",
"pylab.ylabel('$a$ (Hz)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEPCAYAAABRHfM8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noWEAAEyhYQAATKFhAABMoWEAAEz5PxIfdPeg77iCAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Leaky integrate-and-fire neuron\n",
"\n",
"$ a = {1 \\over {\\tau_{ref}-\\tau_{RC}ln(1-{1 \\over J})}}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Leaky integrate and fire\n",
"\n",
"import numpy\n",
"import syde556\n",
"\n",
"J = numpy.linspace(-1,10,100)\n",
"\n",
"import pylab\n",
"pylab.plot(J, syde556.lif(J, tau_ref=0.002, tau_rc=0.02))\n",
"pylab.xlabel('J (current)')\n",
"pylab.ylabel('$a$ (Hz)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEPCAYAAACzwehFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnRQWIiJSJ4WFiIjU6f8BtqTsvwgbEzUAAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- These are called \"tuning curves\"\n",
"\n",
"- Neurons seem to be sensitive to particular values of $x$\n",
"\n",
"- What's the mapping between $x$ and $J$?\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"- Sometimes it's nice and simple:\n",
"\n",
"\n",
"\n",
"- But not often:\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"- Is there a general form?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Neural encoding\n",
"\n",
"- We think there is\n",
" - Something generic and simple\n",
" - that covers all the above cases (and more)\n",
"- Let's start with the simplest\n",
"\n",
"\n",
"\n",
"- Note that they're graphing $a$, not $J$\n",
" - $a$ is much easier to measure\n",
" \n",
"- $x$ is the volume of the sound in this case\n",
"\n",
"- Any ideas?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"x = numpy.linspace(-100,0,100)\n",
"import pylab\n",
"pylab.plot(x, syde556.lif(x*1+50))\n",
"pylab.plot(x, syde556.lif(x*0.1+10))\n",
"pylab.plot(x, syde556.lif(x*0.05+5))\n",
"pylab.plot(x, syde556.lif(x*0.1+4))\n",
"pylab.xlabel('x')\n",
"pylab.ylabel('a')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAUhCEEIIcZkkBCGEEAD8fxJMepJG6DPLAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$ J = \\alpha x + J^{bias} $\n",
"\n",
"- but what about type (c) in this graph?\n",
"\n",
"\n",
"\n",
"- easy enough:\n",
"\n",
"$ J = - \\alpha x + J^{bias} $\n",
"\n",
"- but what about type(b)? Or these ones?\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"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?\n",
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The Encoding Equation\n",
"\n",
"- Here is the general form we use for everything\n",
"- $J = \\alpha x \\cdot e + J^{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",
"- 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",
"collapsed": false,
"input": [
"import numpy\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 = meshgrid(a, b)\n",
"\n",
"import pylab\n",
"from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
"fig = pylab.figure()\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"p = ax.plot_surface(X, Y, syde556.lif((X*e[0]+Y*e[1])+1.5), linewidth=0, cstride=1, rstride=1, cmap=pylab.cm.jet)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1AAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 42
},
{
"cell_type": "markdown",
"metadata": {},
"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",
"collapsed": false,
"input": [
"theta, x = syde556.sample_around_unit_circle(100)\n",
"\n",
"e = numpy.array([1.0, 0.0])\n",
"alpha = 1\n",
"bias = 1.5\n",
"\n",
"J = alpha*numpy.dot(x.T, e)+bias\n",
"\n",
"pylab.plot(theta, syde556.lif(J))\n",
"pylab.xlabel('angle')\n",
"pylab.ylabel('firing rate')\n",
"pylab.xlim(-numpy.pi, numpy.pi)\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEPCAYAAACjjWTcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlclWX+//HXwVzLXTvkFm2EqAFmafshA/vmaJqGZQuV\nNZP9atKa1Hb7NhWaY2HWNJMbTY3mpGPk15xEO5XllpqWS5SKK5KGhKKGwP3741JGFATh3NxneT8f\nj/MYxHPu+30G+3Cd677uz+WyLMtCRESCWpjTAURExH4q9iIiIUDFXkQkBKjYi4iEABV7EZEQoGIv\nIhICbC32qampdOnShc6dO5OamgpAbm4uCQkJREZGkpiYSF5enp0RREQEG4v9999/z6RJk1ixYgVr\n1qxh7ty5bNq0iZSUFBISEsjMzKRnz56kpKTYFUFERI6yrdhv3LiR7t2706BBA+rUqcN1113HrFmz\nSE9PJzk5GYDk5GTmzJljVwQRETnKtmLfuXNnvvzyS3Jzczl48CDz5s1jx44d5OTk4Ha7AXC73eTk\n5NgVQUREjjrDrgNHRUUxcuRIEhMTOfPMM4mNjaVOnTplnuNyuXC5XHZFEBGRY6xa8tRTT1lvvfWW\ndfHFF1vZ2dmWZVnWrl27rIsvvrjc58fExFiAHnrooYcep/GIiYkpt6bauhrn559/BmDbtm3Mnj2b\nwYMH07dvX9LS0gBIS0ujX79+5b52zZo1WJZV7uP555+v8O8C+RGM70vvKTAewfiegvV9Vfae1qxZ\nU25NtW0aB2DgwIH88ssv1K1bl7feeoumTZsyatQokpKSmDx5MhEREcycOdPOCCIigs3F/osvvjjp\ney1atCAjI8PO04qIyAkC8g5aj8fjdARbBOP70nsKDMH4niA431d135PLsizLt1F8w+Vy4afRRET8\nVkW1MyBH9iIicnpU7EVEQoCKvYhICFCxFxEJASr2IiIhQMVeRCQEqNiLiIQAFXsRkRCgYi8iEgJU\n7EVEQoCKvYhICFCxFxEJASr2IiIhwNZ+9iIiAPv3w9q18P33sHs37NkDe/fCb79B/frmceaZcO65\ncP755tGpEzRo4HTy4GFri+NXXnmF9957j7CwMLp06cLUqVMpKChg0KBBbN26tXSnqmbNmp0cTC2O\nRQLW/v2QkQHz5oHXC7t2QXQ0XHIJtGsHrVqZR/36puAXFprXbN0KmzfDTz/Bpk0QGwtXXw033AAe\nD5yh4WmlKqqdthX7rKwsrr/+ejZs2ED9+vUZNGgQN910E+vWraNVq1aMGDGCMWPGsG/fPlJSUqoc\nWET805Ej8PHHMGkSfPklXHEF3HSTKdRRUadfqA8cgGXLzLHmzYOsLBg4EG67Da65BlwuW95GwKv1\nfvZNmjShbt26HDx4kKKiIg4ePEibNm1IT08nOTkZgOTkZObMmWNXBBGpBbt3w5NPQvv2kJoKgwdD\ndjZ8+ikMGwadO1dvRH7WWdCzJ4weDcuXw9Kl5hxDh0JMDEybZj4VSNXYVuxbtGjB448/TocOHWjT\npg3NmjUjISGBnJwc3G43AG63m5ycHLsiiIiNsrNh+HAzPVNQAJ9/bh533mkKta+df775pfL99zBu\nHMyYAeedB+PHq+hXhW0zYJs2beL1118nKyuLpk2bcuutt/Lee++VeY7L5cJ1is9io0ePLv3a4/EE\n5X6SIoGmoABeegnefhuSk2HdOjjnnNo7v8sFiYnm8d138PTT8MYb8PLLMGgQhIXYGkOv14vX6630\nebbN2X/wwQcsWLCASZMmAfCPf/yDpUuXsmjRIj777DPCw8PJzs4mPj6ejRs3nhxMc/YifsWyYPZs\nM5q/5hoYOxbatnU6leH1whNPQJ068M470KWL04mcU+tz9lFRUSxdupRDhw5hWRYZGRlER0fTp08f\n0tLSAEhLS6Nfv352RRARH9m1C3r3hueeg3ffhfff959CD2alzrJlMGQIXH+9mecvLHQ6lX+xdenl\n2LFjSUtLIywsjK5duzJp0iT2799PUlIS27Zt09JLkQAwe7a5KDp0qJkyqVvX6USntmOHyZqVZX4p\nXXKJ04lqV60vvawpFXsRZxUUwCOPwBdfwHvvQY8eTieqOsuCf/wDHn8cUlLgvvtCZ6lmrU/jiEjg\n2rzZrJMvKoJvvw2sQg+msN99t1kdNH68uZBcUOB0Kmep2ItIGRkZcOWV8MADkJZmzzLK2hIdbdbo\nu1zmPW3f7nQi56jYi0ipCRPgrrvMGvZHHgmOqY8zzzQ3YN19t/m08s03TidyhubsRQTLMjcsffQR\nfPIJREQ4ncgec+aYTyx//zv07+90GntUVDvVVkgkxB05Ygrgxo2mD02rVk4nsk+/fqYR2803Q26u\nWaoZKlTsRULY4cOmuZhlwcKFZsoj2HXrZm7CuuEG02zt0UedTlQ7VOxFQtThw2ak27SpWVrp7+vn\nfemii8yS0p49zSqdp55yOpH9VOxFQtDxhf7990OzT/y555ppqxtuMEtMn3vO6UT2CsEfsUhoU6H/\nr3POgUWL4NprzRTW4487ncg+IfxjFgk9RUVw++3QuLEK/TFut7m34NprzT0Ff/iD04nsoR+1SIiw\nLNMz5sABmDtXhf547dubgn/ddWaEf+edTifyPf24RULEs8+a1geLFpm9X6WsCy4wu2tdfz2Eh5u5\n/GCiO2hFQsDEifCvf5m9XBs3djqN/4qONv8/DR4Ma9c6nca3VOxFgty8eWYXp//8B1q3djqN/7vm\nGtM24ne/M+2Sg4WmcUSC2Pffwz33mDYIwdoCwQ633QZbt5oNWxYvDo5PQ+qNIxKkfv4ZuneHP/8Z\n7rjD6TSBx7Lg97+HX36BDz8MnL1tHeln/8MPPxAXF1f6aNq0KRMmTCA3N5eEhAQiIyNJTEwkLy/P\nzhgiIee330yjrzvvVKGvLpfLXOvYvRtefNHpNDVXayP7kpIS2rZty/Lly3njjTdo1aoVI0aMYMyY\nMezbt4+UlJSywTSyF6m2oUMhJyewRqT+KjsbLr8c3njD3Izm7xzfqSojI4MLL7yQ9u3bk56eTnJy\nMgDJycnMmTOntmKIBL1p08zyymnTVOh94ZxzYNYs0xl03Tqn01Rfrf1TmDFjBrfffjsAOTk5uN1u\nANxuNzk5ObUVQySorV4NTzxhNglv0sTpNMHj8sth7FjTIfTAAafTVE+tTOMUFhbStm1b1q9fT+vW\nrWnevDn79u0r/fsWLVqQm5tbNpjLxfPPP1/6Z4/Hg8fjsTuqSMDatw8uvdQss7ztNqfTBKd77zUt\nJ95913928fJ6vXi93tI/v/DCC+VO49RKsf/oo4/461//yvz58wGIiorC6/USHh5OdnY28fHxbNy4\nsWwwzdmLVJllmQuy554LqalOpwleBw+aUf6wYXD//U6nKZ+jc/bTp08vncIB6Nu3L2lpaQCkpaXR\nLxCueoj4sbfeMptpjx3rdJLg1qiRucP2yScD7w5b20f2BQUFnHvuuWzZsoXGR+9MyM3NJSkpiW3b\nthEREcHMmTNp1qxZ2WAa2YtUyZo1po/L11+bTTnEfu+9Z5Zjrlrlf7t7VVQ7dVOVSAArKDDb7D31\nFNx1l9NpQsvdd0PDhvC3vzmdpCwVe5Eg9Pvfm81I3n3X6SShJz8fYmLg9dfNBub+oqLaqd44IgHq\n449ND/Y1a5xOEpqaNDHTOQMGmLYU4eFOJzo1jexFAtCePWZU+cEHpkujOOfZZ+Gbb0x3UX9Yjun4\nHbQi4hvHdpy64w4Ven/w3HOmWdrbbzud5NQ0shcJMO+/D6+8YkaTDRo4nUYANmwwe9iuWOF8K2ld\noBUJAjt3QlwczJ8PXbs6nUaON3as2SBmwQJnexJpGkckwFkWPPggPPSQCr0/euwx0zfH35ZiHqOR\nvUiAmDEDXnoJVq6EevWcTiPl2bDBXEdZsQLOO8+ZDJrGEQlge/dC586Qnm56s4j/GjsWPv3UTOc4\nsTpH0zgiAezRR83qGxV6//fYY5Cba9bg+xON7EX83P/9H/zxj6bxlr/1YZHyffMN/O53ZsP3Vq1q\n99yaxhEJQAUFEB0NkyebZmcSOB57zKy/P9rgt9ao2IsEoJEjzXJLf5sSkModOGCus0yaVLu/qFXs\nRQLMd9/B9debqYCju3hKgJk3z0zBffed6ZBZG3SBViSAlJSYlggvvqhCH8huugliY/1jUxmN7EX8\n0OTJ8M47ZkMSJ+/GlJrbvt3c9bx8OZx/vv3nc2xkn5eXx8CBA+nYsSPR0dEsW7aM3NxcEhISiIyM\nJDExkby8PLtjiASMX34xm5G8/bYKfTBo3x6eeMJM5zg5frX9n9Kjjz7KTTfdxIYNG1i7di1RUVGk\npKSQkJBAZmYmPXv2JCUlxe4YIgHjmWcgKcl8/JfgMHw4/PST2YPAKbZO4/z666/ExcWxefPmMt+P\niori888/x+12s3v3bjweDxs3biwbTNM4EoJWr4Ybb4SNG6F5c6fTiC9lZMADD8C6dWbjcrs4Mo2z\nZcsWWrduzb333kvXrl154IEHKCgoICcnB/fRq05ut5ucnBw7Y4gEBMsyH/VffFGFPhjdcANcdhmM\nGePM+W3dlrCoqIhVq1YxceJELrvsMoYNG3bSlI3L5cJVQQOJ0aNHl37t8XjweDw2phVx1j//CQcP\nwpAhTicRu4wbZy7WDhkCHTr45pherxev11vp82ydxtm9ezdXXHEFW7ZsAWDx4sW88sorbN68mc8+\n+4zw8HCys7OJj4/XNI6EtP37oWNHmDkTrrzS6TRip+efh8xMmD7dnuM7Mo0THh5O+/btyczMBCAj\nI4NOnTrRp08f0o7eQ5yWlka/fv3sjCHi91JSID5ehT4UjBgBixebR22yfZ39mjVruP/++yksLOSC\nCy5g6tSpFBcXk5SUxLZt24iIiGDmzJk0a9asbDCN7CVEbN1qNiNZswbatXM6jdSGf/4Txo83a+99\nvbxW7RJE/NTgwRAZCcddopIgZ1lw1VVmdc699/r22Cr2In5o6VIYOBB++EHti0PNihVw881m/v6s\ns3x3XPXGEfEzlmVutnnpJRX6UHTZZeY6zbhxtXM+jexFHPLBB6ZB1ooVaosQqrKy4NJLTWfTc87x\nzTE1jSPiR377DaKiYOpU0O0joW3ECNi3zzS+8wUVexE/8tprsGiRs71SxD/k5ZkL9IsWmc1OakrF\nXsRP+Po/bgl8qanwn/+YzU5qShdoRfzEmDFmM2oVejlm6FCzKmfRIvvOoZG9SC3auRMuuUQ3UMnJ\nZswwN1otWwYVtAurkhqP7A8ePFj9s4sIYPqiPPCACr2cLCkJjhyBf//bnuNXWuy//vproqOjufji\niwH49ttveeihh+xJIxLENmyA9HQYNcrpJOKPwsLglVfg6aehqMiG41f2hGHDhjF//nxatWoFQGxs\nLJ9//rnvk4gEuWefhT/9CU5oAyVSqlcvCA+Ho30ifapK0zgdTmi8fMYZtrbBFwk6K1eazcMfftjp\nJOLPXC4zuh89Gg4d8u2xKy32HTp04KuvvgKgsLCQcePG0bFjR9+mEAlyzzxjHnZuRyfBoUcP00rh\nrbd8e9xKV+Ps2bOHRx99lIyMDCzLIjExkQkTJtCyZUvfJjkxmFbjSJD44gtITjbNzurVczqNBIJ1\n6+D6680m5Y0bn95rq31T1VdffcVVV11V6fd8TcVegoFlwbXXmhU4d9/tdBoJJHfcAdHR5oLt6ah2\nsY+Li2P16tWVfq8iERERNGnShDp16lC3bl2WL19Obm4ugwYNYuvWrdq8RILaJ5/A44/Dd99BnTpO\np5FAkplpet7/+OPpXdSvqHZWeKV1yZIlfP311+zZs4fx48eXvnj//v2UlJSc1om9Xi8tWrQo/V5K\nSgoJCQmMGDGCMWPGkJKSctJG5CKBzrLguefghRdU6OX0RUZC377mRqv//d+aH6/CC7SFhYXs37+f\n4uJi9u/fz4EDBzhw4ABNmjThww8/PK2TnPhbJj09neTkZACSk5OZM2dONaKL+Le5c6GwEAYMcDqJ\nBKpnn4U334S9e2t+rEqncbKysoiIiKj2Cc4//3yaNm1KnTp1+MMf/sADDzxA8+bN2bdvH2B+EbRo\n0aL0z6XBNI0jAcyyzL6yzz0H/fs7nUYC2UMPmZ2sxo6t2vNPexrnmEaNGvGnP/2J9evXc+jowk+X\ny8WiKnbs+eqrrzjnnHPYs2cPCQkJREVFnRTMVZNGECJ+aM4cs2a6Xz+nk0ige/pp6NLFXPtxu6t/\nnEqL/R133MGgQYOYO3cuf/vb35g2bRqtW7eu8gnOObr9SuvWrenfvz/Lly/H7Xaze/duwsPDyc7O\n5uyzzy73taOP24HZ4/Hg0S4PEgBKSsxNMS++WLOGViIAbdualTnjxsGrr578916vF6/XW+lxKp3G\n6dq1K6tWreKSSy5h7dq1AHTr1o1vvvmm0oMfPHiQ4uJiGjduTEFBAYmJiTz//PNkZGTQsmVLRo4c\nSUpKCnl5eSddoNU0jgSqDz+ElBSz3aCKvfjCzp1mdL9xI1QwNi5V7WmcekfvAgkPD2fu3Lm0adPm\npPn1iuTk5ND/6IRlUVERd9xxB4mJiXTr1o2kpCQmT55cuvRSJBiUlJjVNykpKvTiO23bwuDBZnRf\n1bn7E1U6sp87dy5XX30127dv55FHHiE/P5/Ro0fTt2/f6p2xqsE0spcANGuWKfTLl6vYi2/t2GH2\nQqhsdF+tm6qKi4tJTU3lscce80nY06FiL4HGsiAuzqyJtnksJCHq//0/szJnzJiKn1OtzUvq1KnD\n9OnTaxxQJBQc2zy8Tx9nc0jwGjUKJk2CPXtO/7WVTuMMHz6cI0eOMGjQIM4880wsy8LlctG1a9fq\n5q1aMI3sJYBYFlx+OTz5JNxyi9NpJJg99JBpn/Dyy+X/fbV743g8nnLXwX/22WfVS1pFKvYSSD75\nBEaMMHvLhlV5s0+R05eVBZdeajpiNm9+8t9Xu9g7RcVeAoVlwZVXwrBhMGiQ02kkFNx7L5x/vmmn\ncCIVexGbLFxoLpytW6eGZ1I7MjPh6qth06aT+91X6wKtiFTu5ZfhqadU6KX2REZCz57w9ttVf41G\n9iI1sHQp3Hab6Tlet67TaSSUfPcdJCbC5s3QsOF/v1/taZxZs2addIG2adOmdOnSpcKeNr6gYi+B\n4OaboVcvs0JCpLb162dG+I888t/vVbvY9+7dmyVLlhAfHw+Ypjtdu3Zly5YtPPfcc9xt015rKvbi\n7yoaWYnUlhUrYOBAszLn2CfLas/ZHzlyhA0bNjBr1ixmzZrF+vXrcblcLFu2jDGnuo1LJMilpMDw\n4Sr04pzLLoOLLoKq3PtaabHfvn077uOaKJ999tls376dli1bljZJEwk1mzbBp5/Cgw86nURC3ahR\nZuBR2W6xlXa9jI+Pp3fv3iQlJWFZFrNmzcLj8VBQUHDSJuEioWLsWFPomzRxOomEup49oVEj067j\n5psrfl6lc/YlJSXMnj2bxYsX43K5uOqqqxgwYIDtu0tpzl781e7dEB0NP/wAp7GPj4htPvzQtD9e\nsgTCwnRTlYhPPPUU5OfDxIlOJxExiovNAOTvfwePp5oXaGfNmsVFF11EkyZNaNy4MY0bN6aJPrtK\niMrPN/9BOdD1W6RCdeqY3kwnbPhXRqXFfsSIEaSnp5Ofn8/+/fvZv38/+fn5VQ5RXFxMXFwcfY72\nfc3NzSUhIYHIyEgSExPJy8ur8rFEnPbOO5CQYPqSiPiTO++EvXsr/vtKi314eDgdO3asdoDU1FSi\no6NL5/hTUlJISEggMzOTnj17nrT37PEqu7osUpsKC+G118wISsTf1K9vdkirSKXFvlu3bgwaNIjp\n06eXrrWfPXt2lU6+Y8cO5s2bx/333186h5Senk5ycjIAycnJzJkzp8LXf/JJlU4jUivef9/Mi8bF\nOZ1EpHynWjdT6dLLX3/9lYYNG/Lpp5+W+f4tVdihYfjw4bz66qtlpn1ycnJK1+273W5ycnIqfP2r\nr0Lv3pWeRsR2JSXm3+MbbzidRKR6Ki3206ZNq9aB586dy9lnn01cXBxer7fc57hcrlMu4dyyxdwO\nfNll1Yog4jPz5kGDBnD99U4nEameCov9mDFjGDlyJI8c32HnKJfLxYQJE0554K+//pr09HTmzZvH\n4cOHyc/P56677sLtdrN7927Cw8PJzs4+ZTO1jh1Hc889cOutZscsj8dT5Tcm4kt/+Qs8/vipPyaL\nOMHr9VY4oD5ehevsP/74Y/r06UNaWlqZ7x/bg/bYvHtVfP7554wbN46PP/6YESNG0LJlS0aOHElK\nSgp5eXnlXqR1uVzk51ucd5656KDVD+KUVavMnYmbN6uNsfi/iu5RqnBk36dPH4qLi1m7di1/+ctf\nfBIAYNSoUSQlJTF58mQiIiKYOXNmha9p3BgeeADGj9cNLOKcv/wFHn1UhV4CW6V30Pbo0YMlS5bY\n3h7hRMd+O+3aBZ06mVFVeZvrithp+3aIjTX//po2dTqNSOWq3c/+wQcfZNeuXdx66600atSo9GBV\nWY1TE8cHvvtuU/BHjrT1lCIneeIJcyv6+PFOJxGpmmoX+3vuuaf0AMebOnWq79KV4/jAq1dDnz5m\ndY4+Skttyc+H884zc/bnnut0GpGqqXaxd8qJgePjzfz94MEOhpKQ8tprsGwZzJjhdBKRqjvtYl/T\npZc1dWLgjz+GF14w6+61/E3sVlwMF15oCn337k6nEam6016NEx0dDcCll15aZgrn2NLL2ta7t1nn\nvHgxXHNNrZ9eQkx6OoSHq9BL8Kiw2M+cOZM+ffqQl5fHsGHDajNTucLCYNgwc6FMxV7slppq/r2J\nBIsKp3Gio6PJyMjgxhtvLPfurBYtWtgbrJyPIgUF5kKZbrISO61eDX376iYqCUynPWc/YcIE/vrX\nv7J582batGlz0sE2b95sT9LjzlFetBEjzHyqD+7zEinXPfdAx45a6iuBqUbr7N9++23bglWkosBZ\nWXDppbB1K5x1Vq3HkiC3e7cp9Js2gc0fXkVsEfBLL493yy1mt6ChQ2s5lAS90aNNwXdgfCPiE0FV\n7L1eU+jXr9cyTPGdwkJzTWjhQrNJiUggqqh2VrpTlT+67jpz4Swjw+kkEkw+/NC05VChl2AUkMXe\n5YI//hFsvq9LQszEifDww06nELFHQE7jABw8aD5yL10KF1xQi8EkKK1caa4FbdoEZ1S6f5uI/wqq\naRyARo3gvvvgzTedTiLB4M03zXUgFXoJVgE7sgfTBfOyy2DbNlP8Rapj71646CLIzITWrZ1OI1Iz\ntT6yP3z4MN27dyc2Npbo6GiefPJJAHJzc0lISCAyMpLExETy8vKqfY7zzoMePeCDD3yVWkLR5Mlm\n20EVeglmto7sDx48SKNGjSgqKuLqq69m3LhxpKen06pVK0aMGMGYMWPYt29fhXvQViXavHnw/POm\nG6bI6SouNq03Zs82N+uJBDpH5uyP7WxVWFhIcXExzZs3Jz09vXSz8uTkZObMmVOjc/TqZT6Gq9hL\ndcybZ7pbqtBLsLO12JeUlBAbG4vb7SY+Pp5OnTqRk5OD2+0GwO12k5OTU6Nz1KkDDz4Ib73li8QS\nat5+W3diS2iwde1BWFgY3377Lb/++iu9evXis88+K/P3LpfrlL3xR48eXfq1x+PB4/GU+7z77jMX\n2MaNg5YtfZFcQsHWrWbp7r/+5XQSkerzer3ldiY+Ua2txnnxxRdp2LAhkyZNwuv1Eh4eTnZ2NvHx\n8WzcuPHkYFWcsz/mrrsgNtZscCJSFc88A/v3m971IsGi1ufs9+7dW7rS5tChQyxYsIC4uDj69u1L\nWloaAGlpafTr188n53voIfOR3D8Xkoq/OXIEpkyBP/zB6SQitcO2aZzs7GySk5MpKSmhpKSEu+66\ni549exIXF0dSUhKTJ08mIiKCmTNn+uR8PXpA/fqmSVp8vE8OKUEsPd3sMas+OBIqAvqmqhOlpsKy\nZfDPf9oUSoJGYqLZpGTwYKeTiPhWULU4rkhurlkzvWmTLtRKxX76Ca68ErZvN58GRYJJ0PXGKU+L\nFtC7N7z3ntNJxJ+98w7cfbcKvYSWoBrZg5mzf/hh+O47bWwiJysqgvbt4bPPICrK6TQivhcSI3sw\nG5v89ptZPy1yovnzTU8lFXoJNUFX7F0uuP9+81Fd5ERTppib8ERCTdBN4wDk5MDFF5vWx02a+DiY\nBKw9e8yd1vp3IcEsZKZxANxus9Zet8HL8d57z7QyVqGXUBSUxR5M+4R//MPpFOIvLAumToV773U6\niYgzgrbY9+4N339vml2JrFwJBQVw7bVOJxFxRtAW+/r1ISlJa+7FODaqDwvaf/EipxaUF2iPWbLE\n/Ae+YYPW3Iey336DNm1g9Wro0MHpNCL2CqkLtMf06GG2ndMuVqHtP/+Bzp1V6CW0BXWxd7l0oVZg\nxgy4/XanU4g4K6incQA2b4bu3WHnTqhXzwfBJKAUFEDbtvDjj9C6tdNpROwXktM4YLpgRkWZ2+Ql\n9Myda6bzVOgl1AV9sQe4806YPt3pFOIETeGIGLYW++3btxMfH0+nTp3o3LkzEyZMACA3N5eEhAQi\nIyNJTEws3b7QLv36mZH9b7/ZehrxM3l5sGiR+fmLhDpbi33dunV57bXXWLduHUuXLuXNN99kw4YN\npKSkkJCQQGZmJj179iQlJcXOGLjdZjXGwoW2nkb8zJw5cP310LSp00lEnGdrsQ8PDyc2NhaAs846\ni44dO7Jz507S09NJTk4GIDk5mTlz5tgZA4D+/eHf/7b9NOJHpk/XFI7IMbW2GicrK4vrrruO77//\nng4dOrBv3z4ALMuiRYsWpX8uDeaj1TjHbNliVuVkZ0OdOj47rPipn3+GyEizCuvMM51OI1J7Kqqd\nZ9TGyQ8cOMCAAQNITU2lcePGJwVzVXB76+jRo0u/9ng8eDyeamc47zyzBO+rr9QfJRSkp0OvXir0\nEvy8Xi9er7fS59k+sj9y5Ai/+93v+J//+R+GDRsGQFRUFF6vl/DwcLKzs4mPj2fjxo1lg/l4ZA/w\n4otmU/KmHgHrAAALf0lEQVTXXvPpYcUPDRwIffuavWZFQokj6+wty2LIkCFER0eXFnqAvn37kpaW\nBkBaWhr9amm5RP/+MHu2aXcrwauoyFyMT0x0OomI/7B1ZL948WKuvfZaLrnkktKpmldeeYXLL7+c\npKQktm3bRkREBDNnzqRZs2Zlg9kwsrcss4PVjBnQtatPDy1+5KuvzKbzq1c7nUSk9lVUO4O+XcKJ\nRo6EunXhz3/2+aHFTzz3HBQWgs0rekX8Usi2SzjRLbdoCWawmz8fbrzR6RQi/iXkRvYlJdCihRpj\nBau9e+GCC8zm4mp8J6FII/ujwsKgWzdYvtzpJGKHBQvA41GhFzlRyBV7MF0Qly1zOoXYQVM4IuUL\nyWLfvbuKfTAqKTG7UvXq5XQSEf8TssV++XJTHCR4rF0LTZqYPQxEpKyQLPZnnw3NmkFmptNJxJc0\nhSNSsZAs9qCpnGC0eDHExzudQsQ/qdhL0Ni1C9q3dzqFiH9SsZegkZNjNqoRkZOF3E1Vxxw6BC1b\nwi+/QMOGtp1GaklJCdSvDwcOmP8VCVW6qeoEDRtCp06wapXTScQXcnOhcWMVepGKhGyxB03lBBNN\n4Yicmoq9in1QULEXOTUVexX7oKBiL3JqIV3sL7oI8vNNoZDApmIvcmq2Fvv77rsPt9tNly5dSr+X\nm5tLQkICkZGRJCYmkpeXZ2eEU3K54LLLYMUKxyKIj+TkQHi40ylE/Jetxf7ee+9l/vz5Zb6XkpJC\nQkICmZmZ9OzZkxSHtxO68ELYssXRCOIDu3drZC9yKrYW+2uuuYbmzZuX+V56ejrJyckAJCcnM2fO\nHDsjVOrcc2HrVkcjiA9oGkfk1Gp9zj4nJwf30f8q3W43OQ5PmKvYBwcVe5FTO8PJk7tcLlwuV4V/\nP3r06NKvPR4PHo/H5xk6dFCxDwYq9hKqvF4vXq+30ufZ3i4hKyuLPn368N133wEQFRWF1+slPDyc\n7Oxs4uPj2bhx48nBbG6XcMyuXdC1q5nzlcBkWebO2fx8aNDA6TQizvKbdgl9+/YlLS0NgLS0NPr1\n61fbEcoID4e8PDh82NEYUgP79sGZZ6rQi5yKrcX+9ttv58orr+SHH36gffv2TJ06lVGjRrFgwQIi\nIyNZtGgRo0aNsjNCpcLCoF072LbN0RhSA5rCEamcrXP206dPL/f7GRkZdp72tHXoYIp9ZKTTSaQ6\ntOxSpHIhfQftMVqRE9g0shepnIo9KvaBTsVepHIq9vx3GkcCk4q9SOVU7NHIPtCpL45I5VTsUbEP\ndBrZi1ROxR6z9HLnTigudjqJVIeKvUjlVOwxN+O0aKG7aAOVll6KVE7F/ihN5QQmy4Kff1axF6mM\niv1RWpETmPLyzCcztUoQOTUV+6M0sg9Mmq8XqRoV+6NU7AOTll2KVI2K/VHnnqtpnECkkb1I1ajY\nH6VNTAKTVuKIVI2K/VHHpnFqYb8U8SGN7EWqRsX+qGbNwOUyqzskcKjYi1SNY8V+/vz5REVFcdFF\nFzFmzBinYpSh5ZeBR8VepGocKfbFxcU8/PDDzJ8/n/Xr1zN9+nQ2bNhQ5ddXZXPd6nB6RY5d78tJ\ndr8nJ1bj6OcUOILxfVX3PTlS7JcvX86FF15IREQEdevW5bbbbuOjjz6q8utV7ANHbRT72h7Z6+cU\nOILxfQVUsd+5cyft27cv/XO7du3YuXOnE1HK0DROYLEsTeOIVJWte9BWxOVyOXHaSkVEwMSJsHGj\nM+f/4QdYudKZc9vFzvdUXAz160PDhvYcXySoWA5YsmSJ1atXr9I/v/zyy1ZKSkqZ58TExFiAHnro\noYcep/GIiYkpt+66LKv2V5YXFRVx8cUXs3DhQtq0acPll1/O9OnT6dixY21HEREJCY5M45xxxhlM\nnDiRXr16UVxczJAhQ1ToRURs5MjIXkREalfA3kH77LPPEhMTQ2xsLD179mT79u1OR6qxJ554go4d\nOxITE8Mtt9zCr7/+6nQkn/jXv/5Fp06dqFOnDqtWrXI6To34482ANXHffffhdrvp0qWL01F8Zvv2\n7cTHx9OpUyc6d+7MhAkTnI7kE4cPH6Z79+7ExsYSHR3Nk08+eXoHsO0qrM3y8/NLv54wYYI1ZMgQ\nB9P4xqeffmoVFxdblmVZI0eOtEaOHOlwIt/YsGGD9cMPP1gej8dauXKl03GqraioyLrgggusLVu2\nWIWFhVZMTIy1fv16p2PVyBdffGGtWrXK6ty5s9NRfCY7O9tavXq1ZVmWtX//fisyMjLgf07HFBQU\nWJZlWUeOHLG6d+9uffnll1V+bcCO7Bs3blz69YEDB2jVqpWDaXwjISGBsDDzI+nevTs7duxwOJFv\nREVFERkZ6XSMGqvpzYD+6JprrqF58+ZOx/Cp8PBwYmNjATjrrLPo2LEju3btcjiVbzRq1AiAwsJC\niouLadGiRZVfG7DFHuDpp5+mQ4cOpKWlMWrUKKfj+NSUKVO46aabnI4hx/HXmwGlYllZWaxevZru\n3bs7HcUnSkpKiI2Nxe12Ex8fT3R0dJVf69fFPiEhgS5dupz0+PjjjwF46aWX2LZtG/fccw/Dhw93\nOG3VVPaewLyvevXqMXjwYAeTnp6qvK9A5683A0r5Dhw4wMCBA0lNTeWss85yOo5PhIWF8e2337Jj\nxw6++OKL02qd4MjSy6pasGBBlZ43ePDggBkFV/aepk2bxrx581i4cGEtJfKNqv6sAlnbtm3LLATY\nvn077dq1czCRVOTIkSMMGDCAO++8k379+jkdx+eaNm1K7969+eabb/B4PFV6jV+P7E/lxx9/LP36\no48+Ii4uzsE0vjF//nxeffVVPvroIxo0aOB0HFtYAbzSt1u3bvz4449kZWVRWFjIBx98QN++fZ2O\nJSewLIshQ4YQHR3NsGHDnI7jM3v37iXv6IYbhw4dYsGCBadX9+y5Zmy/AQMGWJ07d7ZiYmKsW265\nxcrJyXE6Uo1deOGFVocOHazY2FgrNjbWGjp0qNORfGL27NlWu3btrAYNGlhut9u68cYbnY5UbfPm\nzbMiIyOtCy64wHr55ZedjlNjt912m3XOOedY9erVs9q1a2dNmTLF6Ug19uWXX1oul8uKiYkp/W/p\nk08+cTpWja1du9aKi4uzYmJirC5dulhjx449rdfrpioRkRAQsNM4IiJSdSr2IiIhQMVeRCQEqNiL\niIQAFXsRkRCgYi8iEgJU7EV8ICsrK6jaBEvwUbEXEQkBKvYS8vr370+3bt3o3Lkz77zzDmBa4z7z\nzDPExsZyxRVX8PPPPwOwadMmevTowSWXXMIzzzxTptX2McXFxTzxxBNcfvnlxMTE8Pe//71W349I\neVTsJeRNmTKFb775hhUrVjBhwgRyc3M5ePAgV1xxBd9++y3XXntt6S+BRx99lOHDh7N27doy7Y6P\nN3nyZJo1a8by5ctZvnw577zzDllZWbX4jkROpmIvIS81NbV0BL9jxw5+/PFH6tWrR+/evQG49NJL\nS4v10qVLufXWWwG4/fbbyz3ep59+yrvvvktcXBw9evQgNzeXn376qVbei0hF/LrFsYjdvF4vCxcu\nZOnSpTRo0ID4+HgOHz5M3bp1S58TFhZGUVHRaR134sSJJCQk+DquSLVpZC8hLT8/n+bNm9OgQQM2\nbNjA0qVLT/n8Hj168OGHHwIwY8aMcp/Tq1cv3nrrrdJfEJmZmRw8eNC3wUVOk4q9hLQbb7yRoqIi\noqOjeeqpp7jiiiuAsrtSuVyu0j+//vrrjB8/ntjYWDZt2kTTpk3LPA/g/vvvJzo6mq5du9KlSxeG\nDh162p8MRHxNLY5FTsOhQ4do2LAhYEb2H3zwAf/+978dTiVSOc3Zi5yGlStX8vDDD2NZFs2bN2fK\nlClORxKpEo3sRURCgObsRURCgIq9iEgIULEXEQkBKvYiIiFAxV5EJASo2IuIhID/D2hIlJHWfdVk\nAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- that starts looking a lot more like the real data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Notation\n",
"\n",
"- encoding\n",
" - $a_i = G(\\alpha_i x \\cdot e_i + J^{bias}_i)$\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",
" - I find this very confusing\n",
" - We're switching to $d$ (for decoder) and $e$ (for encoder)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"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": {},
"source": [
"## Solving for $d$\n",
"\n",
"- Minimize the average error over all $x$\n",
"\n",
"$ E = {\\int_{-1}^1 (x-\\hat{x})^2 dx } \\over {2}$\n",
"\n",
"- Substitute for $\\hat{x}$\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 (x-\\sum_i(a_i d_i))^2 dx $\n",
"\n",
"- Take the derivative with respect to $d_i$\n",
"\n",
"$ {{\\partial E} \\over {\\partial d_i}} = {1 \\over 2} \\int_{-1}^1 2 [x-\\sum_j(a_j d_j)](-a_i) dx $\n",
"\n",
"$ {{\\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",
"\n",
"- At the minimum, $ {{\\partial E} \\over {\\partial d_i}} = 0$\n",
"\n",
"$ \\int_{-1}^1 a_i x dx = \\int_{-1}^1 \\sum_j(a_j d_j a_i) dx $\n",
"\n",
"$ \\int_{-1}^1 a_i x dx = \\sum_j (\\int_{-1}^1 a_i a_j dx)d_j $\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 $\n",
"\n",
"where\n",
"\n",
"$ \\Upsilon_i = {1 \\over 2} \\int_{-1}^1 a_i x dx$\n",
"\n",
"$ \\Gamma_{ij} = {1 \\over 2} \\int_{-1}^1 a_i a_j dx $\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",
"$ \\sum_x a_i x / S = \\sum_j (\\sum_x a_i a_j /S )d_j $\n",
"\n",
"$ \\Upsilon = \\Gamma d $\n",
"\n",
"where\n",
"\n",
"$ \\Upsilon_i = \\sum_x a_i x / S$\n",
"\n",
"$ \\Gamma_{ij} = \\sum_x a_i a_j / S $\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 $\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"N = 30\n",
"x = numpy.linspace(-1, 1, 100)\n",
"encoders = numpy.random.choice([-1, 1], N)\n",
"alpha = numpy.random.uniform(0.5,2, N)\n",
"bias = numpy.random.uniform(-2, 2, N)\n",
"\n",
"A = syde556.activity(x, encoders, alpha, bias)\n",
"\n",
"d = syde556.decoders(A, x)\n",
"xhat = numpy.dot(A, d)\n",
"\n",
"figure()\n",
"plot(x, A)\n",
"xlabel('x')\n",
"ylabel('firing rate (Hz)')\n",
"\n",
"figure()\n",
"plot(x, x)\n",
"plot(x, xhat)\n",
"xlabel('$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",
"\n",
"show()\n",
"print 'RMSE', np.sqrt(np.average((x-xhat)**2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEPCAYAAABY9lNGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAEPCAYAAAC6Kkg/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XtYzvf/B/DnrZqzYiZWWTpQmloNMZockkIymjALjZbj\nNuxkI5tDbcM2LcohOZQyUiwZm8ghoRxrKYkK3Zm1GbZS798f+/JzKDrc3Z/78Hxcl+sSn/vu6XN9\n3M9en6NMCCFARERUAw2kDkBEROqH5UFERDXG8iAiohpjeRARUY2xPIiIqMZYHkREVGMqUR4TJ06E\noaEhunTpUuUyM2bMgKWlJezs7JCenq7EdERE9DiVKI8JEyYgMTGxyr9PSEhATk4OsrOzERYWBn9/\nfyWmIyKix6lEeTg5OaFly5ZV/n18fDx8fHwAAI6OjigpKUFRUZGy4hER0WNUojyepbCwECYmJg++\nNjY2RkFBgYSJiIi0m1qUBwA8fhcVmUwmURIiItKVOkB1GBkZIT8//8HXBQUFMDIyemI5CwsLXLx4\nUZnRiIjUnrm5OXJycmr0GrWYPDw8PLBhwwYAQEpKCgwMDGBoaPjEchcvXoQQgr8U8Gv+/PmSZ9Ck\nX1yfXJ+q8KuiQmDLFgFDQ4EPPxS4e/e/P6/ND90qMXmMHj0aBw4cwI0bN2BiYoIFCxagrKwMAODn\n5wd3d3ckJCTAwsICTZs2RXh4uMSJiYjUi1wOTJkCZGQAcXGAoyPwz71/sDt7f63eTyXKIyoq6pnL\nBAcHKyEJEZHmiYkBZswAxo8HNm0Ccv46h5m7V2Pz2c149cVXa/WeKlEepHqcnZ2ljqBRuD4Vi+uz\neuRyYOpU4Px5YMu227jUJAZ9N4fhyp9XMPGViTgx+QRMDUwhG1fzE5BkQgiNeRiUTCaDBv1ziIhq\n7f604TbhFJ7rGYatmVvQu31vTHKYBDdLN+g2+P/ZoTafnSwPIiINIpcDftP/RsrfW9DKJQy3xHX4\n2vvC18EXxi2MK30Ny4PlQURa7KsNpxCwMwzCZgsGWDrBv7sfXM1dodNA56mvq81nJ495EBGpsTtl\nd7DmaAwW/LQKf6EQ4z3fwfyhZ6qcMhSFkwcRkRrKKM7AqhOhCD+xCaW5PTGknR8iPnNDsyY1nwk4\neRARabDS8lJsz9yOVSdWIbM4C63yfGGYkobNIS/B0VG5WVgeREQqLq8kD2Enw7A2fS1sXrCB/b2p\nyFzuCY9xelhwGGjUSPmZWB5ERCqoQlRgT84ehJwIwZH8I3jb9m3EDj2I5Z91QuI5ID4WSp82HqYW\n97YiItIWFaICy44ug+UKS3y2/zN4dvLElffy0fOv5XijTyeYmQHp6dIWB8DJg4hIpQQeCsSO33Yg\nakQUur3YDcXFMviM+e8q8fv3pFIFnDyIiFTEgbwDWJG6ArGjYtHtxe6IiZHB1hYwN1eNaeNhnDyI\niFRA0d9FGLt9LNYPWw+9f4zgNVH1po2HcfIgIpJYeUU53op9C+NfGY8/01xhawtYWKjetPEwTh5E\nRBKb++tc3PmnDJkrA7BdhaeNh7E8iIgktOLYCmw4Hot7oYfh5K2LzRuluW6jplgeREQSWX0kBh8l\nBKFd4iFERrdW+WnjYSwPIiIJzAv/FQuzpsEHe7HykKlaTBsPY3kQESlRUZGA27yVOPP8PAS/vhVT\n3O2kjlQrLA8iIiUQAgjfchNTEn2hb3oZ6X5H0OXFjlLHqjWeqktEVM/kcuD18fvgl/4K3uhnhiuf\nH1Xr4gA4eRAR1RshgPVRf2HqjjnQtd6N7aNWY2hnV6ljKQTLg4ioHsjlwBsf7sGxNpPh7joQG8ae\nhX4jfaljKQzLg4hIgYQA1kQWY8ZPH6Ch5SHEeq/GEOuBUsdSOJYHEZGCFBUJDP1sE9Jaz4bXwLFY\nPeYsmj3XTOpY9YLlQURUR0IA323KxkcH/WHw4g0kjd+F3h26SR2rXvFsKyKiOsi/9i9envolZmf2\nxLv93VE4/4TGFwfAyYOIqNbmhe/H4tP+MH2+IzKmp6Fjm/ZSR1IalgcRUQ2dz5PD/dvZuPpcEpb0\nW4E5HsOkjqR0LA8iomqqEBXwC1uNtZc+R9dmb+Pkhxlo3UIzD4g/C8uDiKgafs04Ba+Id3H3tg42\neO7DWwNspY4kKZYHEdFT/PXPLYxePQ+JBZEYqLMY276egCaNea4Ry4OIqBJCCKxL2Ybpu97HcwUu\nSHjnPFydWksdS2WwPIiIHpN78xJGrJuKs/mX8WaTSKwLdVK7523UN85eRET/U1peis8SA2G9vBsK\nD/dBknc6IpewOCrDyYOICMChy4cxOsoP8gsvYXyb4/guqgNL4ylYHkSk1Ur+KcHMnR8j5vROtEr9\nFge+GIkePWRSx1J53G1FRFrrx4xtMFtqg61bgcll53Ex3ovFUU2cPIhI61y7dQ3vxE7FwcwMtDoU\njd3f9Iajo9Sp1AsnDyLSGkIIrE1bB6vv7HDgx87wE6eQtZfFURucPIhIKxT+VYjx2ybjeNZVPH9w\nL6KW27E06oCTBxFpNCEENp7ehM7f2+Potm6YhFRk/MriqCtOHkSksf769y9M2OaPfWdPodWBRGxZ\n7sDSUBBOHkSkkU5cPYGOSx2we0dz+FYcR+avLA5F4uRBRBpnxcEIzNk7B88f+wH7v/RiadQDlgcR\naZSpYRFYlT0XE3SSERzfiVeJ1xOWBxFpBLkcGDJ3I9JbfYrIQb9gVP9OUkfSaCpxzCMxMRFWVlaw\ntLREUFDQE3+flJQEfX192Nvbw97eHgsXLpQgJRGpIiGAmBjAcsRmZL74MY5P34dR/a2kjqXxJJ88\nysvLMW3aNOzbtw9GRkbo1q0bPDw8YG1t/chyffr0QXx8vEQpiUgVyeXAlCn/HRxvMOQ9HHknCTZt\nrJ/9QqozySeP1NRUWFhYwNTUFHp6evD29kZcXNwTywkhJEhHRKpICCA6GrC1BYzMSyB7802s9lwJ\nmzY2UkfTGpKXR2FhIUxMTB58bWxsjMLCwkeWkclkOHLkCOzs7ODu7o6MjAxlxyQiFSGXA15ewIIF\nwI4dAgWv+mJIx8EY2Xmk1NG0iuS7rWSyZ9/B0sHBAfn5+WjSpAl2794NT09PXLhwodJlAwICHvze\n2dkZzs7OCkpKRFK6f2xj5kxg/Hhg0yZgzZkfkFeSh8g3IqWOp1aSkpKQlJRUp/eQCYn3B6WkpCAg\nIACJiYkAgCVLlqBBgwb46KOPqnxNhw4dcPLkSbRq1eqRP5fJZNy9RaSB7h/byMgAwsOB1pYXserE\nKkScjsBR36Mwb2UudUS1VpvPTsl3W3Xt2hXZ2dnIy8tDaWkpoqOj4eHh8cgyRUVFD/5hqampEEI8\nURxEpHkePrZhZnEPC6LjMD97EHqu7QmZTIZj7xxjcUhE8t1Wurq6CA4OhqurK8rLy+Hr6wtra2uE\nhoYCAPz8/PDjjz9i5cqV0NXVRZMmTbBlyxaJUxNRfbs/bZzOKYLnsjXYUhSK5FQj+Hf1xw7vHWik\ny6v/pCT5bitF4m4rIs0QHS3gH3gIhkNCcL1pIkZ2Hokp3abAvp291NE0Um0+O1keRKQycgtuYeSX\nm5DRJARtjcrwgdMUvG33NgwaGUgdTaPV5rNT8t1WRETn5efxwZYQ7L0WBcs2/RA79lsM6tSvWmdj\nkjRYHkQkibLyMuz4bQe+PfID0i5fQNOsSYibdhZD+xhJHY2qgeVBREp17dY1hJ0MQ1haGPTvWeBq\n3FRM7T0cCzfq8Q64aoTlQURKkXUjC/OT5mPPxT0YZuaNzicTUZDWBXvWg8/bUEOSX+dBRJrvvPw8\n+kb0xStt7bHMJA+J01fCwbgL0tNZHOqKkwcR1avM4ky4bHTBZ45f49dvx+L8eSAujqWh7jh5EFG9\nybqRhQEbB2B480B8MXIszM3BaUND8DoPIqoXZ4rOwHWjG4yyFuL2oQlYv56loarU8t5WRKR5DuQd\nhNPqAbgbuxz9W03gtKGBeMyDiBQq4lgc/HZNguGhSMQsG8DS0FAsDyJSiNJ7ZXgrNBDbLofgLZ0E\nhO7uyus2NBjLg4jq7GBmBoat90HZn62wY/RxDO1jLHUkqmcsDyKqtbLyexgfugxRV77GQN2FiF0+\nGY0b835U2oDlQUS18sv5dIzY6IuyP5/HtjdTMbxvB6kjkRKxPIioRu6U3cHo0AXYlb8eg3S+wo/L\n3ua0oYVYHkRUbVtP7sWE7e+iwbXu2Dn+DNxfN5Q6EkmE5UFEz3Tjzg28EfYBDucfxBvPrcTGEDee\nSaXlWB5EVCUhBMKORGPm7vfQ5OIY7Jt2Dn17NZM6FqkAlgcRVargz0J4rvHHqSu5GN0kDqvDHTlt\n0AMsDyJ6wpGsLPTf2A9Ns97B/g+2wqlnQ6kjkYpheRDRA0IA32+6iA/ODIDrc19i+8aJnDaoUiwP\nIgIAyOWAz8zL+MWkP2Z3n4sgr4lSRyIVxrvqEmk5IYDVm4th+eY6HO3YF0s8PkCQ17tSxyIVx+d5\nEGmpu2V38cPhjQhK2ISbemfQt/1ATO8zFsOshkkdjZSsNp+d3G1FpGV+v/M7fjgegmXJP+DuxW4Y\n2vYjrPmkPwya8eAGVR/Lg0iLZBRnwDm8H5oWDsbzx35F5Hed+bwNqhWWB5GWyP+zAH3C3FCa+A0m\n9noLAUngmVRUaywPIi1wIf8PdAsZhEa/TcfP37zFaYPqjOVBpMGEADZF34Hv/mGwazMQByNnoXFj\nqVORJuDZVkQaSi4Hxr13AQfaeGHAyw6I912LBjKenU9Pqs1nJ7ckIg0jBBAdDXQcHoPkjr3w9Sh/\n7PRdx+IgheLkQaRB5HJg0rRbONhwDprZ7kPcWzFwaOcgdSxScZw8iLSUEEBMDNBpcCKSrF/GsOFl\nODf9JIuD6g0nDyI1d/+eVEcafo6mnZMRMSIMLuYuUsciNcIrzIm0iBDA8o2/Ye7uQKDTTkzrORnz\n+55Fs+f4sCaqfywPIjWUnV+Cgd/MQX6TOPgOnYHA4Tlo2bil1LFIi7A8iNSIEMBH63Zh6W/vwq6F\nB47NzkEb/RZSxyItxPIgUhMZeTcw6Nv3cF03BSv6bcIUd2epI5EWY3kQqbiKCoEP1m7FiuyZcGg+\nGulzTuP5Fk2ljkVajuVBpMLO5F6DW/AU3EAWwlxj4evaQ+pIRAB4nQeRSqqoEPAPXY9XwuzwUhMb\nyL9IZ3GQSuHkQaRi0nPz4RYyGSX3rmP94D1428Ve6khET+DkQaQihBDwD1uHV8McYNmwF4oXpbI4\nSGVx8iBSAadzCzEoZBL+KLuODUN/wVsDbKWORPRUnDyIJCQEMGvNdtiH2cO8oSOKFx9jcZBa4ORB\nJJErV/9B38DZyG+YgNUDdsLXlY/3I/WhEpNHYmIirKysYGlpiaCgoEqXmTFjBiwtLWFnZ4f09HQl\nJyRSHCGAHzZdgfnintDTL8KVuWksDlI7kpdHeXk5pk2bhsTERGRkZCAqKgqZmZmPLJOQkICcnBxk\nZ2cjLCwM/v7+EqUlqhu5HPAc9Sc+SHPD5F6jkPlFDNoaGEgdi6jGql0eubm5uHv3rsIDpKamwsLC\nAqamptDT04O3tzfi4uIeWSY+Ph4+Pj4AAEdHR5SUlKCoqEjhWYjqy/2n+3V5pQxnrLwwsW8//DD6\nY8hkMqmjEdVKtctj6dKlOHbsGAAgOTkZycnJCglQWFgIExOTB18bGxujsLDwmcsUFBQo5PsT1Te5\nHPDyAgIWCPRaOB3WnXSxYvByqWMR1clTD5hXVFRgy5YtGDNmDLp3745Lly7hpZdegpOTE2JjYxUS\noLo/eT3+oJKqXhcQEPDg987OznB2dq5tNKI6uf90v5kzgXHjS9HRbyF25RzBobGHoNuA56qQdJKS\nkpCUlFSn93jqFvz9999jyJAhAID8/HyYmZlh2bJlOHfuHHr16oXhw4fX6ZsDgJGREfLz8x98nZ+f\nD2Nj46cuU1BQACMjo0rf7+HyIJKKXA5MmQKcyyiHX8hmbMifD2u5NX4a8xNaNOQt1Elaj/9gvWDB\nghq/x1N3W02fPh3Hjx8HAJiZmWHEiBFYsWIFtm7divbt29f4m1Wma9euyM7ORl5eHkpLSxEdHQ0P\nD49HlvHw8MCGDRsAACkpKTAwMIChoaFCvj+RIj04tmErUNExFg2m2OKXkjBs8NyAhLEJMNE3efab\nEKmBp04eOjo6GD16NABg1KhROH36NBwcHHDp0iWFHbDW1dVFcHAwXF1dUV5eDl9fX1hbWyM0NBQA\n4OfnB3d3dyQkJMDCwgJNmzZFeHi4Qr43kSLJ5YD/FIETv/+C1h9/itxGpfi631dwt3TngXHSODJR\n06eeq7DaPMSdqK7uH9vwX3wUzYfNxXOtC7Cw35fwsvFCA5nkZ8MTPVNtPjtZHkR1IJcDY2edxtHG\nn6G5+RksdJkHn1d8eECc1EptPju5hRPVghDAt5su4JM986BrkYQFAz7FtB4/oqFuQ6mjESkFJw+i\nGkq7eAUjvv8C+U3iMLnLB/hq5HQ0e66Z1LGIao2TB1E9unbrOiaGL8aea5vh2PxdHJl9Ae0MWkod\ni0gSLA+iZ7h59yYC9n6N0ONhaHpxHHa9mwH313mqOGk3lgdRFW79ewvLU77FN8nf4d7Z4ZjYIR3L\n17VHo0ZSJyOSHsuD6DF3y+5i5YmVWJIchMbXBuCFQ0cRGWwJR941negBlgfR/5SVl2Ft+losPLgQ\nL4puqFi/D6OHdsGCZHDaIHoMy4O0XnlFOSLPRmJ+0ny0b2aBjunbcf1kdySEg9MGURV4+StptcSc\nRNiuskXoyVCMaxGO3+b+jO5G3ZGWxuIgehpe50Faa/+l/fDe5o3lfcKxLcgNmRkyhHPaIC1Um89O\nTh6klXJu5mD0ttGY3CoKHwx1h6WFjNMGUQ1w8iCtU/JPCbqH9kSz8+/hbrIf1q9naZB24+RB9Az/\n3vsXzsHeKDjoApeWfkhPZ3EQ1QYnD9IaBzLPYVjEW6go7ojd70SiV0+ebEgEcPIgqlSFqMC4lUvR\nN6IvejaYgaLgaBYHUR3xfxBptNO5hXBZOQ5/3y3DthGpGN63g9SRiDQCJw/SSEIAc9bEwSH0VXR6\nrh+Kv0picRApECcP0jiXCm9jQNAc5DfcjVX9t2PSoNekjkSkcVgepDGEAOaF/4ol59+BlX5vXJmV\njrYGBlLHItJILA/SCBcL/oLLVx8iv/EuBDmvwqyhQ6SORKTRWB6k1oQAPlmXgK8z34WNvgvyZ53j\ntEGkBCwPUluZl29g0PL3cU3vML7tuw7TBw+QOhKR1mB5kNqpqBB4f200grPfh30zb6R9eBbPt2gq\ndSwircLyILVyKrcAbj/44w9xCWGuO+DrynuLEEmB13mQWiivqIDvqpVwCLOHReNukH+ZxuIgkhAn\nD1J5h7N+w7C1k3DnbjkiPQ/Au39nqSMRaT1OHqSyysrLMDpkMZzCe8Ne700UByWzOIhUBCcPUkl7\nz5+E10Zf3PujHbaPPglP55ekjkRED2F5kEq5W3YX3qEB2JW/Hm46S7H127Fo3FgmdSwiegzLg1TG\nztOHMCZ6ImRF9tjlcxZur7eROhIRVYHlQZK79e/f8Ar9BHvzt8NDLxhRPwxHo0ZSpyKip2F5kKTi\nTyVjTMx46Fztjd2+ZzHQqZXUkYioGlgeJIk7pXfx5qrPsLsgCsN0VyFylQenDSI1wvIgpTuXdx1O\nqwajvNgMCePPwNWptdSRiKiGeJ0HKY0QwLINmbBb0RNddIejKDiGxUGkpjh5kFLI5cCbs5NxyGgk\n5vb6Cl+84SN1JCKqA5YH1SshgA1b/saULQsh7NciblQkBlu7SB2LiOqI5UH1pqhIwPOT7TjR+n0M\nGNIH67zPoF3zdlLHIiIFYHlQvfh+Uw7m7J+GFiYFSBi7ES4d+0gdiYgUSCaEEFKHUBSZTAYN+ueo\npStX/8GgRYG4oB+MKbYfY6nXTOjp6Ekdi4ieojafnZw8SGE+C9+HwDP+MGvVBZnT02HZxkTqSERU\nT1geVGcZl4vh9u0HuKqXjKB+wZg1dIjUkYionrE8qNYqKgSmr9mIVRfn4NWm43Dyw3No3aKZ1LGI\nSAlYHlQr6bn5cAvxQ8m9q1jnvhs+Ax2kjkRESsQrzKlGhACmhm3Eq2EOsGz4GooXHWdxEGkhTh5U\nbQXXStFnyXso0PsFG91+xdgBXaSOREQSkbQ8bt68iVGjRuHy5cswNTVFTEwMDAwMnljO1NQULVq0\ngI6ODvT09JCamipBWu0lBBAaWYgZh0bCtHVbXJmdCkN9faljEZGEJN1tFRgYCBcXF1y4cAH9+/dH\nYGBgpcvJZDIkJSUhPT2dxaFkcjkwaGwWpp9xxDtOHvjti20sDiKStjzi4+Ph4/PfDfJ8fHywY8eO\nKpflxX/KJQQQHQ107p2Do5YD8MOILxEy5hM0kPEwGRFJfIV5y5Yt8ccffwD4rxxatWr14OuHmZmZ\nQV9fHzo6OvDz88OkSZMqfT9eYa4YcjkwZQqQnpeHO159sGDAXEx+dbLUsYionqjkFeYuLi64fv36\nE3++aNGiR76WyWSQyWSVvsfhw4fRrl07FBcXw8XFBVZWVnBycqp02YCAgAe/d3Z2hrOzc62zaxsh\ngJgYYOZMYNCENFT0Hom5r81hcRBpmKSkJCQlJdXpPSSdPKysrJCUlIS2bdvi2rVr6Nu3L3777ben\nvmbBggVo1qwZZs2a9cTfcfKovQfTRn4mTCfMQ+btwwgcEIi37d6WOhoR1bPafHZKugPbw8MDERER\nAICIiAh4eno+scydO3dw69YtAMDt27fx888/o0sXniKqKPePbdi8dhlZ1hNwa2QfuHbphpwZOSwO\nIqqSpJPHzZs38eabb+LKlSuPnKp79epVTJo0CT/99BNyc3PxxhtvAADu3buHsWPH4pNPPqn0/Th5\n1IxcDvjOKMJhnUUot9mMmT2nYlbPWdBvxLOpiLRJbT47eUt2LbU+6k9Mi/wG5a+GwLfrOMzr+yna\nNG0jdSwikoBKHjAn1XLl6j8Y+kUIzrcMgquHG0K80vCSwUtSxyIiNcPy0BLlFeWYsWYzVl34HB1e\nsMOxyb/gVZOXpY5FRGqK5aHhhBDYciIR/ts/QunfzRAyeDP8BvWWOhYRqTmWhwZLv3YKb2+ajcyr\n+RjaOBCRX3micePKr6UhIqoJlocGKvyrELMS5mLHuUQYnJ6HA59OQq+efI44ESkOy0OD3Cm7g2+O\nLMXXB79FxQk/vGt1AYFbW6BRI6mTEZGmYXloACEEYs7HYNaeOZAV9IRh8kls/sEUjo5SJyMiTcXy\nUHMZxRmYljANuddu4k70Zkx2dULAIXDaIKJ6xfJQU3fK7iAgKQDr0sJhnDsPjQ/5I3qdLqcNIlIK\nlocaSspLwjvx78CwvDtkq85h0ChDBJzktEFEysPyUCN/l/6ND/d+iB2Z8TA9H4KbKR7YtQWcNohI\n6fhYODVx8eZF9FjTA+ezb+Pe9+fg1MYD6eksDiKSBicPNbAvdx9G/zgWxhfnoejgFOzcKmNpEJGk\nOHmouDVpa+AVOQ7lW6Ix0GAqTqWzOIhIerwluwo7l1eEV9d2hnFiCiKDLVkaRFQveEt2DXH/WeIT\nYhahi/U4HEq25JlURKRSOHmomPvPEj916TKKRzgge2YmH9JERPVK7Z5hTv/v/rPEbW0Bc3PgtU8D\nMKPHFBYHEakk7rZSAfenjfPngbg4oLlZBpzX/4Ts6dlSRyMiqhQnDwk9Pm2kpwPduwt8vv9zzH5t\nNvQb6UsdkYioUjzmIZGHp4016+6h/MUjiM+KR3xWPPR09HB80nE00WsidUwi0gK1+exkeSjZ/TOp\nps++hdfG7UFTh3jsyU2Aib4JhnUaBo9OHrBvaw+ZjE/8IyLlYHmoeHmkXbwC36CdyG4QD2F8FE6m\nr8GjkweGdByC9vrtpY5HRFqK5aFi5VEhKnC88Djis3Zi0/GdyC+5Chs9d3w60gNDrAaiecPmUkck\nIuJFgqrg1r+3sDd3L3Zd2IWE7AToP/c8kDUUsrMhOPRVD7zWQ0fqiEREdcbyUKCcmznosaYHHNo5\nYLDlELzy12dYPMcM48cDAT/zeRtEpDm420pByivK4RTuhFE2ozDabCb8/YGMDGD9et42nYhUG68w\nl9DXR75GI91GMLw8Hba2gIUF+LwNItJYnDwU4NT1UxgQMRCOp08gN709pw0iUiucPCTw771/4bF+\nHMp++gYvm7TntEFEWoGTRx1cvnoXry0djVslevh5Ugx69OCFfUSkfjh5KIkQwJrI32H5ZX8YNGmG\ngu83sziISKuwPGpILgfcx+Rh6sleGNXTCWe/2IAWTZ+TOhYRkVKxPKpJCCByyz1YjFmBA526Yckb\nU7Hx7SA0kHEVEpH24UWC1SCXAyPn/IpjrWbA1rMt1r+ZBJs2NlLHIiKSDMvjGb7ZcBZz93+Cxqbn\nEfHGUoyyHc473hKR1mN5VOF4ziWMDJ6PwsZ7MGPQp1gyYhsa6jaUOhYRkUpgeTwm74/LeGfDIvx6\nfRt6NpuG43Oy0Ua/hdSxiIhUCsvjf26X3saMnR9j06lINL/wLhKnXcBAp+eljkVEpJJYHgAyi3/D\nwDUjceOsA/zaZ+GriNa8Ay4R0VNofXmEHt6CGYnT0Sp9CfZ/5suL/YiIqkFry6Os/B6Gh3yExEtx\nGNfwZ6z80Z7TBhFRNWlleWTnl8DpO2/cul2O3WOPw6V3S6kjERGpFa26PFoIYPnGC7Be2gPGjTqh\naOluFgcRUS1oTXlcL6qAg18I5mS+hg97z8aJhd+hWROtHLyIiOpM4z89hQBWRl7B+0kT8Xy7Wzjp\ndwh2RlZSxyIiUmuSTh5bt26FjY0NdHR0kJaWVuVyiYmJsLKygqWlJYKCgqr9/oXXyvDKu8sx49yr\n8O3bH1cCDrM4iIgUQNLy6NKlC2JjY/H6669XuUx5eTmmTZuGxMREZGRkICoqCpmZmU99XyGAz9f9\nipcCX8FfholIm3YIIWM+gW4DjR+0FCYpKUnqCBqF61OxuD6lJ2l5WFlZoWPHjk9dJjU1FRYWFjA1\nNYWenh7hXOp6AAAFj0lEQVS8vb0RFxdX9fI5uTCZNRJBmb5Y3H8Rchckwtaok6Kjazz+51Qsrk/F\n4vqUnsofMC8sLISJicmDr42NjVFYWFjl8j3WdIdZYwcUzcvAhx6evAMuEVE9qPf9OC4uLrh+/foT\nf7548WIMHTr0ma+v6Yf/LvdzcH+9bY1eQ0RENVPv5bF37946vd7IyAj5+fkPvs7Pz4exsXGly5qb\nm2Nwn3Z1+n70/xYsWCB1BI3C9alYXJ+KY25uXuPXqMwRZCFEpX/etWtXZGdnIy8vDy+++CKio6MR\nFRVV6bI5OTn1GZGIiP5H0mMesbGxMDExQUpKCgYPHgw3NzcAwNWrVzF48GAAgK6uLoKDg+Hq6orO\nnTtj1KhRsLa2ljI2EZHWk4mqfuQnIiKqgsqfbVWV+r7AUNvcvHkTLi4u6NixIwYOHIiSkpJKlzM1\nNYWtrS3s7e3RvXt3JadUfdXZ3mbMmAFLS0vY2dkhPT1dyQnVy7PWZ1JSEvT19WFvbw97e3ssXLhQ\ngpSqb+LEiTA0NESXLl2qXKbG26VQU5mZmSIrK0s4OzuLkydPVrrMvXv3hLm5ubh06ZIoLS0VdnZ2\nIiMjQ8lJ1cOcOXNEUFCQEEKIwMBA8dFHH1W6nKmpqfj999+VGU1tVGd7++mnn4Sbm5sQQoiUlBTh\n6OgoRVS1UJ31uX//fjF06FCJEqqPgwcPirS0NPHyyy9X+ve12S7VdvKojwsMtVl8fDx8fHwAAD4+\nPtixY0eVywru6axUdba3h9ezo6MjSkpKUFRUJEVclVfd/7/cHp/NyckJLVtWfQfx2myXalse1VHT\nCwy1WVFREQwNDQEAhoaGVW44MpkMAwYMQNeuXbF69WplRlR51dneKlumoKBAaRnVSXXWp0wmw5Ej\nR2BnZwd3d3dkZGQoO6ZGqM12qTKn6lZG2RcYarqq1ueiRYse+Vomk1W57g4fPox27dqhuLgYLi4u\nsLKygpOTU73kVTfV3d4e/0mZ22nlqrNeHBwckJ+fjyZNmmD37t3w9PTEhQsXlJBO89R0u1Tp8lDm\nBYba4Gnr09DQENevX0fbtm1x7do1tGnTptLl2rX77yLMF154AcOHD0dqairL43+qs709vkxBQQGM\njIyUllGdVGd9Nm/e/MHv3dzcMGXKFNy8eROtWrVSWk5NUJvtUiN2W1W1z/PhCwxLS0sRHR0NDw8P\nJadTDx4eHoiIiAAAREREwNPT84ll7ty5g1u3bgEAbt++jZ9//vmpZ29om+psbx4eHtiwYQMAICUl\nBQYGBg92F9KjqrM+i4qKHvz/T01NhRCCxVELtdouFXMsX/m2b98ujI2NRaNGjYShoaEYNGiQEEKI\nwsJC4e7u/mC5hIQE0bFjR2Fubi4WL14sVVyV9/vvv4v+/fsLS0tL4eLiIv744w8hxKPr8+LFi8LO\nzk7Y2dkJGxsbrs9KVLa9rVq1SqxaterBMlOnThXm5ubC1ta2yjMF6T/PWp/BwcHCxsZG2NnZiZ49\ne4qjR49KGVdleXt7i3bt2gk9PT1hbGws1q5dW+ftkhcJEhFRjWnEbisiIlIulgcREdUYy4OIiGqM\n5UFERDXG8iAiohpjeRARUY2xPIiIqMZYHkREVGMsDyIiqjGVvjEikTorLy9HdHQ0cnNzYWJigtTU\nVMyaNQtmZmZSRyOqM04eRPXk9OnTGDFiBMzMzFBRUQEvL68HdyUmUncsD6J64uDggIYNG+Lo0aNw\ndnaGs7MzGjduLHUsIoVgeRDVk+PHj+PGjRs4d+4cOnTogOTkZKkjESkMj3kQ1ZPExEQYGhqiV69e\niI2NRevWraWORKQwvCU7ERHVGHdbERFRjbE8iIioxlgeRERUYywPIiKqMZYHERHVGMuDiIhqjOVB\nREQ1xvIgIqIa+z/GVsXuHw80oQAAAABJRU5ErkJggg==\n",
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEPCAYAAABhkeIdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text": [
""
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"RMSE 0.0102481110469\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- What happens to the error with more neurons?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"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 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",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"N = 30\n",
"x = numpy.linspace(-1, 1, 100)\n",
"encoders = numpy.random.choice([-1, 1], N)\n",
"alpha = numpy.random.uniform(0.5,2, N)\n",
"bias = numpy.random.uniform(-2, 2, N)\n",
"\n",
"A = syde556.activity(x, encoders, alpha, bias)\n",
"\n",
"\n",
"A_noisy = syde556.add_noise(A, 0.2)\n",
"\n",
"d = syde556.decoders(A, x)\n",
"\n",
"\n",
"xhat = numpy.dot(A_noisy, d)\n",
"\n",
"figure()\n",
"plot(x, A_noisy)\n",
"xlabel('x')\n",
"ylabel('firing rate (Hz)')\n",
"\n",
"figure()\n",
"plot(x, x)\n",
"plot(x, xhat)\n",
"ylim(-2, 2)\n",
"xlim(-1, 1)\n",
"\n",
"show()\n",
"print 'RMSE', np.sqrt(np.average((x-xhat)**2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEPCAYAAABsj5JaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH7ELD2+JQ5/FAAAAAElFTkSuQmCC\n",
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
""
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"RMSE 1.02002633442\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- what if we just increase the number of neurons? Will that help?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Taking noise into account\n",
"\n",
"- include noise while solving for decoders\n",
"\n",
" - introduce noise term $\\eta$\n",
"\n",
"$ \\hat{x} = \\sum_i(a_i+\\eta)d_i $\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\hat{x}]^2 dx $\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i+\\eta)d_i]^2 dx $\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i) - \\sum(\\eta d_i)]^2 dx $\n",
"\n",
"- assume noise is gaussian, independent, mean zero, and has the same variance for each neuron\n",
" - $\\eta = N(0, \\sigma)$\n",
" - so all the noise cross-terms disappear\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i)]^2 dx + \\sum_{i,j}(d_i d_j \\eta_i \\eta_j) $\n",
"\n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i)]^2 dx + \\sum_{i}(d_i d_i \\eta_i \\eta_i) $\n",
"\n",
"\n",
"- and since the average of $\\eta_i \\eta_i$ noise is its variance $\\sigma^2$, we get\n",
" \n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i)]^2 dx + \\sigma^2 \\sum_i d_i^2 $\n",
"\n",
"- The practical result is that, when computing the decoder, we get\n",
"\n",
"$ \\Gamma_{ij} = \\sum_x a_i a_j / S + \\sigma^2 \\delta_{ij}$\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",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"N = 300\n",
"x = numpy.linspace(-1, 1, 100)\n",
"encoders = numpy.random.choice([-1, 1], N)\n",
"alpha = numpy.random.uniform(0.5,2, N)\n",
"bias = numpy.random.uniform(-2, 2, N)\n",
"\n",
"A = syde556.activity(x, encoders, alpha, bias)\n",
"\n",
"d = syde556.decoders(A, x, noise=0.2, dx=2.0/len(x))\n",
"\n",
"A_noisy = syde556.add_noise(A, 0.2)\n",
"\n",
"xhat = numpy.dot(A_noisy, d)\n",
"\n",
"figure()\n",
"plot(x, A_noisy)\n",
"xlabel('x')\n",
"ylabel('firing rate (Hz)')\n",
"\n",
"figure()\n",
"plot(x, x)\n",
"plot(x, xhat)\n",
"ylim(-2, 2)\n",
"xlim(-1, 1)\n",
"\n",
"show()\n",
"\n",
"print 'RMSE', np.sqrt(np.average((x-xhat)**2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEPCAYAAABsj5JaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBb+IiI1R8IuI2BgFv4iIjVHwi4jYmP8DYlBoMdO/LqIAAAAASUVORK5CYII=\n",
"text": [
""
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"RMSE 0.0555618233321\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Number of neurons\n",
"\n",
"- What happens to the error with more neurons?\n",
" - Note that the error has two parts:\n",
" \n",
"$ E = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i)]^2 dx + \\sigma^2 \\sum_i d_i^2 $ \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",
"$ E_{distortion} = {1 \\over 2} \\int_{-1}^1 [x-\\sum_i(a_i d_i)]^2 dx $\n",
"\n",
"- Error due to noise\n",
" \n",
"$ E_{noise} = \\sigma^2 \\sum_i d_i^2 $ \n",
" \n",
"- What do these look like as number of neurons $N$ increases? "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"noise = 0.2\n",
"x = numpy.linspace(-1, 1, 100)\n",
"dx = 2.0/100\n",
"Ns = numpy.array([8, 16, 32, 64, 128, 256, 512])\n",
"\n",
"E_distortion = []\n",
"E_noise = []\n",
"\n",
"for N in Ns:\n",
" encoders = numpy.random.choice([-1, 1], N)\n",
" intercepts = numpy.random.uniform(-0.9, 0.9, N)\n",
" max_rates = numpy.random.uniform(100, 200, N)\n",
" alpha, bias = syde556.find_alpha_and_bias(intercepts, max_rates)\n",
"\n",
" A = syde556.activity(x, encoders, alpha, bias)\n",
"\n",
" d = syde556.decoders(A, x, noise=noise, dx=dx)\n",
" A_noisy = syde556.add_noise(A, noise)\n",
" \n",
" xhat = numpy.dot(A, d)\n",
" xhat_noisy = numpy.dot(A_noisy, d)\n",
" \n",
" E_d = syde556.compute_error_distortion(x, xhat)\n",
" E_n = syde556.compute_error_noise(noise*np.max(A), d)\n",
" \n",
" E_distortion.append(E_d)\n",
" E_noise.append(E_n)\n",
" \n",
" \n",
"figure()\n",
"loglog(Ns, E_distortion, label='$E_{dist}$')\n",
"loglog(Ns, 1.0/Ns, label='$1/N$')\n",
"loglog(Ns, 0.1/(Ns**2), label='$0.1/N^2$')\n",
"xlabel('N')\n",
"ylabel('E distortion')\n",
"legend(loc='best')\n",
"\n",
"figure()\n",
"loglog(Ns, E_noise, label='$E_{noise}$')\n",
"loglog(Ns, 0.2/(Ns), label='$0.2/N$')\n",
"xlabel('N')\n",
"ylabel('E noise')\n",
"legend(loc='best')\n",
"show()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEWCAYAAABxMXBSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEWCAYAAABxMXBSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
""
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Distortion error is proportional to $1/N^2$\n",
"- Noise error is proportional to $1/N$\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": {},
"source": [
"## Examples\n",
"\n",
"- Methodology for building models with the Neural Engineering Framework\n",
" - 1) System Description: Describe the system of interest in terms of the basic principles\n",
" - 2) Design Specification: Add in neurobiological details that act as constraints (firing rates, tuning curves, noise levels, neuron models, etc.)\n",
" - 3) Implement the model\n",
"\n",
"## Example 1: Horizontal Eye Control\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. These 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",
" \n",
"- Design Specification\n",
" - range of values for $x$: -60 degrees to +60 degrees\n",
" - tuning curves: extremely linear (high $\\tau_{RC}$)\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",
" - 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",
" - tuning curves"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"import syde556\n",
"\n",
"N = 40\n",
"tau_rc = 0.2\n",
"x = numpy.linspace(-1, 1, 100)\n",
"\n",
"encoders = numpy.random.choice([1, -1], N)\n",
"\n",
"intercepts = numpy.random.uniform(-0.9, 0.9, N)\n",
"max_rates = numpy.random.uniform(250, 300, N)\n",
"alpha, bias = syde556.find_alpha_and_bias(intercepts, max_rates, tau_rc=tau_rc)\n",
"\n",
"A = syde556.activity(x, encoders, alpha, bias, tau_rc=tau_rc)\n",
"\n",
"figure()\n",
"plot(x, A)\n",
"xlabel('x')\n",
"ylabel('firing rate (Hz)')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEPCAYAAABY9lNGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nK/eQsgAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- How good is the representation?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"noise = 0.2\n",
"dx = 2.0/100\n",
"\n",
"d = syde556.decoders(A, x, noise=noise, dx=dx)\n",
"A_noisy = syde556.add_noise(A, noise)\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",
"ylim(-1, 1)\n",
"xlim(-1, 1)\n",
"xlabel('$x$')\n",
"ylabel('$\\hat{x}$')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"RMSE with 40 neurons is 0.0778816\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAEPCAYAAAC6Kkg/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/weuSqF0tgmAaAAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"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": {},
"source": [
"## Example 2: Arm Movements\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",
"- 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",
" \n",
"- Design Specification\n",
" - range of values for $x$: Anywhere within a unit circle (or perhaps some other radius)\n",
" - encoders: randomly distributed around the unit circle\n",
" - firing rates of up to 60Hz\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",
" - tuning curves\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import syde556\n",
"\n",
"theta, x = syde556.sample_around_unit_circle(100)\n",
"\n",
"e = numpy.array([1.0, 0])\n",
"\n",
"J = 0.2*numpy.dot(x.T, e)+1.5\n",
"\n",
"plot(theta*180/numpy.pi, syde556.lif(J))\n",
"xlabel('angle')\n",
"ylabel('firing rate')\n",
"xlim(-180, 180)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEPCAYAAACjjWTcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvYiIA6jYi4g4wP8DXrosVORVc68AAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 44
},
{
"cell_type": "markdown",
"metadata": {},
"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 also 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\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 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": {},
"source": [
"# Administrative Notes\n",
"\n",
"- Assignment 1 has been posted \n",
" - [HTML](http://nbviewer.ipython.org/github/tcstewar/syde556/blob/master/Assignment%201.ipynb) [PDF](https://github.com/tcstewar/syde556/raw/master/Assignment%201.pdf)\n",
"- Due: January 29th at dawn (7:42am)\n",
"- Total marks: 20 (20% of final grade)\n",
"- Late penalty: 1 mark per day\n",
"- You can use any programming language you like, but it is recommended that you use a language with a matrix library and graphing capabilities. Two main suggestions are Python and MATLAB.\n",
"\n",
"- Tutoring Services\n",
" - If you would like more personalized help for the assignments in this course, two of the PhD students in the lab (Xuan Choo and Travis DeWolf) offer tutoring services. They can be contacted at [ctntutoring@gmail.com](mailto:ctntutoring@gmail.com) and they charge \\$20 per half hour (or \\$15 per person per half hour for groups)."
]
}
],
"metadata": {}
}
]
}