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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Understanding divergences between minibatches of samples\n",
"\n",
"The purpose of this notebook is to investigate what happens when calculating divergences (KL or JS) between i.i.d. sequences of variables, rather than between variables themselves. Here I use univariate Bernoulli variables parametrised by a single probability value $p$ and $q$. This notebook complements [this blog post](http://www.inference.vc/understanding-minibatch-discrimination-in-gans/)\n",
"\n",
"### KL divergence \n",
"The KL divergence between N minibatches of i.i.d. samples from $Q$ and $P$ should be $N$ times the KL divergence between $Q$ and $P$. Below, I numerically verify that this is indeed the case.\n",
"\n",
"### JS divergence\n",
"The JS divergence between N minibatches of i.i.d. samples from $Q$ and $P$ should be *upper bounded by* $N$ times the JS divergence between $Q$ and $P$. The graphs below show the shape of the resulting divergences for increasing minibatch sizes. The $JS$ divergence is also upper bounded by $1$, and in the limit of increasing minibatch sizes, the divergence converges to this limit everywhere except $P=Q$."
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"from matplotlib import pylab as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def kldiv(P,Q):\n",
" \"\"\"KL divergence between two sets of discrete distributions P and Q\n",
" \n",
" Parameters\n",
" ----------\n",
" Q, P : numpy.array with ndims=2\n",
" These arrays encode the distributions or arrays of to be compared.\n",
" Q and P should have the same second dimension, which is the number\n",
" of discrete values the random variable can take. The first dimension\n",
" is either 1 for P or Q, or has to be the same for P and Q.\n",
" \n",
" Returns\n",
" -------\n",
" numpy.array with ndims=2\n",
" array of KL divergence values between the corresponding P and Q\n",
" distributions.\n",
" \"\"\"\n",
" return (P*(np.log2(P) - np.log2(Q))).sum(axis=1)\n",
"\n",
"def jsdiv(P, Q):\n",
" mixture = (P+Q)/2\n",
" return (kldiv(P, mixture) + kldiv(Q, mixture))/2"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#initialise P\n",
"P = np.array([[0.2,0.8]])\n",
"\n",
"#different Q distributions with a range of parameter values:\n",
"Q = np.linspace(0,1,1000)[1:-1]\n",
"Q = np.array([Q,1-Q]).T"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"klpq = kldiv(P,Q)\n",
"klqp = kldiv(Q,P)\n",
"jspq = jsdiv(P,Q)"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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QWl/GhYrLXCi/xHCvode7/YCkeemll16yZQCbN2/mhRde4IEHHuCnP/0p586d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OsVss53DG2rCgrjg/Bv0a/xJTbcn1XfzXPLzbGcJQ2EG0kD4X3ZYWrk77P2c6blHMebT1FmKsdq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\nCCGE06SBEEIIIYTTpIEQQgghhNP+P/y3qe8F2xapAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1162eb048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_context('poster')\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(h,klpq);\n",
"plt.plot(h,klqp);\n",
"plt.plot(h,jspq*4.2);\n",
"\n",
"plt.plot([hstar,hstar],[0,1],':k')\n",
"plt.xlabel('$H[q]$')\n",
"plt.ylabel('divergence')\n",
"plt.legend(['$KL[p\\|q]$', '$KL[q\\|p]$', '$JS[p\\|q]$'],loc=2)\n",
"\n",
"plt.ylim([0,1]);"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def iid2(P):\n",
" \"\"\"Takes a(n array of) discrete distribution P and returns the discrete\n",
" joint distribution of 2 independent and identically distributed samples\n",
" from P\n",
" \n",
" Parameters\n",
" ----------\n",
" P : numpy.array with ndims=2\n",
" This array encodes discrete probability distributions. The second\n",
" dimension indexes the different values the random variable can take\n",
" \n",
" Returns\n",
" -------\n",
" numpy.array with ndims=2\n",
" array representing the join distributions of two i.i.d. samples drawn\n",
" from the corresponding distribution in P\n",
" \"\"\"\n",
" n,d = P.shape\n",
" return (P.reshape((n,d,1)) * P.reshape((n,1,d))).reshape(n,d**2)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#checking that the math works: the KL divergence between the joint distribution\n",
"#of two i.i.d. samples should be exactly twice the KL divergence between single\n",
"#samples.\n",
"\n",
"klpq = kldiv(P,Q)\n",
"klpq2 = kldiv(iid2(P),iid2(Q))/2\n",
"assert np.allclose(klpq,klpq2)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#looking at 'minibatch' JS divergence for increasing minibatch sizes:\n",
"jspq = jsdiv(P,Q)\n",
"jsp2q2 = jsdiv(iid2(P),iid2(Q))\n",
"jsp4q4 = jsdiv(iid2(iid2(P)),iid2(iid2(Q)))\n",
"jsp8q8 = jsdiv(iid2(iid2(iid2(P))),iid2(iid2(iid2(Q))))"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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P5evStRt+U/+JnX3zm8ZXioqbUERE/+uuiN2v30DrWhLVFRraiueem3MjqdW5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S3eN5anJzyKv87PiZGJi+nuN/LKutPUtPQBoHPT8MK9E8iIl25c15MkFQ6gVquIjPGnurwDg95M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\nI5z+pOL111/nwQcf5JlnngFg1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T1UlrZxZG+F/fW8pemER43OWiSr0Ujze+/Qe/SIfc1n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\nAACAkBAqAAAAAISEUAEAAAAgJP8DInUK9u6uzXoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ef32b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_context('poster')\n",
"plt.plot(Q[:,0],jspq)\n",
"plt.plot(Q[:,0],jsp2q2)\n",
"plt.plot(Q[:,0],jsp4q4)\n",
"plt.plot(Q[:,0],jsp8q8)\n",
"plt.xlabel('q')\n",
"plt.ylabel('divergence')\n",
"plt.legend(['JS$[P\\|Q]$', \n",
" 'JS$[P^{(2)}\\|Q^{(2)}]$',\n",
" 'JS$[P^{(4)}\\|Q^{(4)}]$',\n",
" 'JS$[P^{(8)}\\|Q^{(8)}]$'],loc=2);\n",
"plt.xticks([0,0.2,0.5,1], ['0','p=0.2','0.5','1']);"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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kmiNJPKxkVNDwJjHiMSpoeO0X1kFcXAx6vZ5+/UwLwc+dO4uLiwtBQSGAac1D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\nVo6j+FQ80Y18Uy6ldYVYSL7Y1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1zGwe8Le3Wu0BuWYgoJASCmvJWUk6f5NHcTlbXNl6y+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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11676d8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_context('poster')\n",
"plt.plot(Q[:,0],jspq)\n",
"plt.plot(Q[:,0],jsp2q2/2)\n",
"plt.plot(Q[:,0],jsp4q4/4)\n",
"plt.plot(Q[:,0],jsp16q16/8)\n",
"plt.xlabel('q')\n",
"plt.ylabel('divergence')\n",
"plt.legend(['$JS[P\\|Q]$', \n",
" '$JS[P^{(2)}\\|Q^{(2)}]/2$',\n",
" '$JS[P^{(4)}\\|Q^{(4)}]/4$',\n",
" '$JS[P^{(8)}\\|Q^{(8)}]/8$'],loc=2);\n",
"plt.ylim([0,0.2]);\n",
"plt.xticks([0,0.2,0.5,1], ['0','p=0.2','0.5','1']);"
]
}
],
"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": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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