sgttwld/Legendre_RD.ipynb Secret

## Legendre_RD.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/html"
   },
   "source": [
    "<script>\n",
    "  function code_toggle() {\n",
    "    if (code_shown){\n",
    "      $('div.input').hide('500');\n",
    "      $('#toggleButton').val('Show Code')\n",
    "    } else {\n",
    "      $('div.input').show('500');\n",
    "      $('#toggleButton').val('Hide Code')\n",
    "    }\n",
    "    code_shown = !code_shown\n",
    "  }\n",
    "\n",
    "  $( document ).ready(function(){\n",
    "    code_shown=false;\n",
    "    $('div.input').hide()\n",
    "    $('div.prompt').hide();\n",
    "    $('div.back-to-top').hide();\n",
    "    $('nav#menubar').hide();\n",
    "    $('.breadcrumb').hide();\n",
    "    $('.hidden-print').hide();\n",
    "  });\n",
    "</script>\n",
    "\n",
    "<form action=\"javascript:code_toggle()\"><input type=\"submit\" id=\"toggleButton\" value=\"Show Code\"></form>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "-"
   },
   "source": [
    "# from IPython.core.display import HTML\n",
    "import urllib\n",
    "response = urllib.urlopen(\"\"\"\n",
    "    https://gist.githubusercontent.com/sgttwld/c060b18a9d6ce7c3a10e3c6dce2c0d3a/raw\n",
    "\"\"\")\n",
    "css = str(response.read().decode(\"utf-8\"))\n",
    "HTML(\"<style type='text/css'>\"+css+\"</style>\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import _lib.pr_func as pr\n",
    "from _lib.utility import *\n",
    "from scipy.interpolate import InterpolatedUnivariateSpline\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "sns.set_style(\"whitegrid\")\n",
    "#import sys\n",
    "#sys.path.append('..')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "inputHidden": false,
    "outputHidden": false
   },
   "source": [
    "# The Legendre Transform and Rate Distortion\n",
    "## _When is it true, that dU/dI = 1/beta?_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Legendre Transform\n",
    "The Legendre transform of a function $f:x\\mapsto f(x)$ is given by a function $g:u\\mapsto g(u)$, such that $\\pm\\frac{dg}{du}(u) = x(u)$. $g$ can be obtained by treating $x$ as a function of $u$ and defining\n",
    "$$\n",
    "u := \\frac{df}{dx}, \\quad g(u) := \\pm (u\\, x(u) - f(x(u)))\n",
    "$$\n",
    "since then automatically $\\pm \\frac{dg}{du} = x(u) + u \\frac{dx}{du} - \\frac{df}{dx} \\frac{dx}{du} = x(u)$. Similarly, if $g$ is given, then $f$ can be reconstructed by \n",
    "$$\n",
    "x := \\pm \\frac{dg}{du}, \\quad f(x) := x \\, u(x) \\mp g(u(x)) \\, .\n",
    "$$\n",
    "\n",
    "### Free Energy principle for one-step decision-making with fixed prior\n",
    "The Legendre transform can be applied to single-task decision-making with utility function $U$ and fixed prior $p_0$. If we consider the equilibrium Free Energy as a function of $\\tau := \\frac{1}{\\beta}$,\n",
    "$$\n",
    "F(\\tau) = \\tau \\log Z_\\tau = \\tau \\log \\sum_a p_0(a) e^{U(a)/\\tau} \\, ,\n",
    "$$\n",
    "then $F$ is the Legendre transform of the expected utility $\\bar U := \\mathbb E[U]$ as a function of $D_{KL}(p(a)\\|p_0(a))$. This can be seen by explicitly differentiating $F$: We have\n",
    "\n",
    "$$\n",
    "\\frac{dF}{d\\tau} = \\log Z_\\tau + \\frac{\\tau}{Z_\\tau} \\sum_a p_0(a) e^{U(a)/\\tau} \\frac{-U(a)}{\\tau^2} = \\log Z_\\tau -\\frac{\\bar U}{\\tau} = \\frac{1}{\\tau} ( F(\\tau) - \\bar U) , \n",
    "$$\n",
    "and therefore,\n",
    "$$\n",
    "I := - \\frac{dF}{d\\tau} =  \\frac{1}{\\tau} (\\bar U - F(\\tau)) = \\frac{\\bar U}{\\tau} - \\log Z_\\tau = D_{KL}(p(a)\\|p_0(a)) \\, .\n",
    "$$\n",
    "and\n",
    "$$\n",
    "f(I) = \\tau I + F(\\tau) = \\bar U\n",
    "$$\n",
    "Hence $F:\\tau \\mapsto F(\\tau)$ is the Legendre transform of $\\bar U: I\\mapsto \\bar U(I)$ and it follows that $\\frac{d\\bar U}{dI} = \\tau = \\frac{1}{\\beta}$.\n",
    "\n",
    "__Note:___ The same calculation works for multi-task decision-making, i.e. when $U$ is a function of $w$ and $a$. Here, the equilibrium Free Energy is given by \n",
    "$$\n",
    "\\frac{1}{\\beta} \\sum_w \\rho(w) \\log Z(w) . \n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rate distortion\n",
    "In the limit case of a perfectly optimal prior, $p_0$ is replaced by $p(a) = \\sum_w p_\\beta(a|w) \\rho(w)$, in particular, there might be a different prior for each $\\beta$. The above derivation cannot be followed since there is no closed from expression for the equilibrium Free Energy in terms of $\\beta$ anymore. In particular, by taking the derivative of $F$ with respect to $\\tau$ as in the derivation above, the $\\tau$-dependency of the prior would be neglected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def RD(U,pw,beta):\n",
    "    pa = pr.func(vars=['a'], val='unif').normalize()\n",
    "    test = 0\n",
    "    for i in range(0,1000):\n",
    "        pagw = (pa*pr.exp(beta*U)).normalize(['a'])\n",
    "        pa = pr.sum(['w'],pagw*pw)\n",
    "        if np.linalg.norm(test-pagw.val)<1e-10:\n",
    "            break\n",
    "        test= pagw.val\n",
    "    EU = pr.sum(U*pagw*pw)\n",
    "    IWA = pr.sum(pw*pagw*pr.log(pagw/pa))\n",
    "    return EU.val, IWA.val\n",
    "\n",
    "def nonRD(U,pw,beta):    \n",
    "    pa = pr.func(vars=['a'], val='unif').normalize()\n",
    "    pagw = (pa*pr.exp(beta*U)).normalize(['a'])\n",
    "    EU = pr.sum(U*pagw*pw)\n",
    "    DKL = pr.sum(pw*pagw*pr.log(pagw/pa))\n",
    "    return EU.val, DKL.val"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAB0sAAAPBCAYAAACftkJKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAAADAlv4PlJiNsxYtlgYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10acb7c50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 933
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# setup\n",
    "N,K = 20,20\n",
    "pr.set_dims([('w',N),('a',K)])\n",
    "U = pr.func(val=utility(N,K,6.0),vars=['w','a'])\n",
    "# U = pr.func(val=np.eye(N),vars=['w','a'])\n",
    "pw = pr.func(vars=['w'],val='unif').normalize()\n",
    "\n",
    "# RD curve\n",
    "EUs = []\n",
    "Is = []\n",
    "betas = np.linspace(0.3,5,1000)\n",
    "\n",
    "for beta in betas:\n",
    "    EU,I = RD(U,pw,beta) \n",
    "    EUs.append(EU)\n",
    "    Is.append(I)\n",
    "    \n",
    "# nonRD curve\n",
    "EUs_non = []\n",
    "Is_non = []\n",
    "\n",
    "for beta in betas:\n",
    "    EU,I = nonRD(U,pw,beta) \n",
    "    EUs_non.append(EU)\n",
    "    Is_non.append(I)\n",
    "\n",
    "with plt.rc_context({\"figure.figsize\": (16,8)}):\n",
    "    plt.title(\"Rate distortion curves\")\n",
    "    plt.plot(Is,EUs,label=\"optimal prior\")\n",
    "    plt.plot(Is_non,EUs_non, label=\"non-optimal prior\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAB0AAAAPECAYAAAA3mygOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAKAwBKAAAAAAAAFAY/w9lOW2OvIT7owAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10acf5510>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 482,
       "width": 928
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "||dU/dI - 1/beta|| = 2.44547712642e-07\n"
     ]
    }
   ],
   "source": [
    "# calc derivative of EU wrt I\n",
    "f_non = InterpolatedUnivariateSpline(Is_non, EUs_non, k=5)\n",
    "dfdx_non = f_non.derivative()\n",
    "dUdx_non = dfdx_non(Is_non)\n",
    "# compare against 1/beta\n",
    "with plt.rc_context({\"figure.figsize\": (16,8)}):\n",
    "    plt.title(\"Comparison of ${dU}/{dI}$ and ${1}/{\\\\beta}$ -- non-optimal prior\")\n",
    "    plt.plot(Is_non,1.0/betas,label=\"1/beta\",linestyle=\"-\",color=\"xkcd:silver\")\n",
    "    plt.plot(Is_non,dUdx_non,label=\"dU/dI\",linestyle=\":\",color=\"xkcd:denim blue\")\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "    print \"||dU/dI - 1/beta|| = {}\".format(np.linalg.norm(dUdx_non-1.0/betas))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABy8AAAPECAYAAAAXd3fzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzJL9sRCsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10525cf50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 482,
       "width": 919
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "||dU/dI - 1/beta|| = 13.0328221758\n"
     ]
    }
   ],
   "source": [
    "# calc derivative of EU wrt I\n",
    "f = InterpolatedUnivariateSpline(Is, EUs, k=5)\n",
    "dfdx = f.derivative()\n",
    "dUdx = dfdx(Is)\n",
    "# compare against 1/beta\n",
    "with plt.rc_context({\"figure.figsize\": (16,8)}):\n",
    "    plt.title(\"Comparison of ${dU}/{dI}$ and ${1}/{\\\\beta}$ -- optimal prior\")\n",
    "    plt.plot(Is,1.0/betas,label=\"1/beta\",linestyle=\"-\",color=\"xkcd:silver\")\n",
    "    plt.plot(Is,dUdx,label=\"dU/dI\",linestyle=\":\",color=\"xkcd:denim blue\")\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "    print \"||dU/dI - 1/beta|| = {}\".format(np.linalg.norm(dUdx-1.0/betas))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAB0gAAAPECAYAAAAkTGj6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAAKI3/B4HSTY/M7hxGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109e27a90>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 482,
       "width": 932
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# zommed in\n",
    "with plt.rc_context({\"figure.figsize\": (16,8)}):\n",
    "    plt.title(\"Comparison of ${dU}/{dI}$ and ${1}/{\\\\beta}$ -- optimal prior, zoomed in\")\n",
    "    plt.scatter(Is,1.0/betas,label=\"1/beta\",marker='.',color=\"xkcd:silver\")\n",
    "    plt.scatter(Is,dUdx,label=\"dU/dI\",marker='.',color=\"xkcd:denim blue\")\n",
    "    plt.xlim([0,0.01])\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernel_info": {
   "name": "python2"
  },
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  },
  "nteract": {
   "version": "0.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}