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@betatim
Created July 25, 2016 21:32
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📈 💹 Compute the "marginal" of a function `y = f(x1, x2)` so you can display how f() varies as a function of just x1 or x2.
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format='retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.interpolate import griddata\n",
"\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"np.random.seed(1234)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def f(x):\n",
" return np.sin(x[0])*x[0] + np.cos(x[1])*x[1]\n",
"\n",
"low, high = -3.141, 3*3.141\n",
"X = np.random.uniform(low, high, size=(100*3, 2))\n",
"\n",
"ys = np.array([f(x) for x in X])"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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naa+96LqQer70NLnk5Ocyzq4aiTnDxLih3ijVW6lB/qwVPeSG4MCByYHJgQPN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\nX/9r7uJDTRwIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1bd8990080>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 380
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(X[:,0], ys, '.')\n",
"plt.savefig('q.png')"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1bd870ea90>]"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+4BtBPmapmkseunRekZA5+U2876LbYtFR+HlzC/p0oFlEn0ffmtLliHfbwVXs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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1bd89b5390>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 380
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(X[:,1], ys, '.')"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f1bd84c6ac8>"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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SbUOorNXxa0o2P53MpKJWx/D4SB5wV+DYSBv8mgPn6gmfLqvExcGBSO+Gb+7T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pAPOAkUBH4URXGFpmPIgvgbaLpKnJaWRsDLFzx5/JiXL57z9OUrwkNDiY2JJikpEVEEhaEC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\nRURERKSu/R+KYWfsmz18gQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1be109c9e8>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 354
}
},
"output_type": "display_data"
}
],
"source": [
"# define grid.\n",
"xi = np.linspace(low, high, 500)\n",
"yi = np.linspace(low, high, 500)\n",
"# grid the data.\n",
"zi = griddata((X[:,0], X[:,1]), ys, (xi[None,:], yi[:,None]), method='cubic')\n",
"# contour the gridded data, plotting dots at the randomly spaced data points.\n",
"CS = plt.contour(xi,yi,zi,15,linewidths=0.5,colors='k')\n",
"CS = plt.contourf(xi,yi,zi,15,cmap='RdBu')\n",
"plt.colorbar() # draw colorbar"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.stats.mstats import mquantiles"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-3.141 , -2.13281975, -0.46677494, 1.20314214, 2.70747947,\n",
" 4.54261582, 5.59087144, 6.4937492 , 7.64766849, 8.28274511,\n",
" 9.423 ])"
]
},
"execution_count": 91,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"edges = mquantiles(X[:,0], prob=(0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9))\n",
"edges = np.array([low] + list(edges) + [high])\n",
"edges"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def marginal(dimension, bins=10):\n",
" # compute the 10% quantiles along first dimension\n",
" # we will group points together if they are in the\n",
" # same quantile\n",
" edges = mquantiles(X[:, dimension], prob=np.linspace(0, 1, bins, endpoint=False)[1:])\n",
" edges = np.array([low] + list(edges) + [high])\n",
"\n",
" q_x = []\n",
" q_y = []\n",
" q_up = []\n",
" q_down = []\n",
" for i in range(edges.shape[0] - 1):\n",
" idx = (edges[i] < X[:, dimension]) & (X[:, dimension]< edges[i+1])\n",
" q_x.append(edges[i] + (edges[i+1] - edges[i])/2.)\n",
" # average it! no median\n",
" q_y.append(np.median(ys[idx]))\n",
" q_down.append(np.percentile(ys[idx], 16))\n",
" q_up.append(np.percentile(ys[idx], 84))\n",
"\n",
" plt.plot(X[:, dimension], ys, '.')\n",
" plt.plot(q_x, q_y, 'r-', lw=2)\n",
" plt.fill_between(q_x, q_down, q_up, color='r', alpha=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1bd8458f28>]"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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SGeikk4ALLnA6KDIaJbDvz2CQm0U7LWVHVdWwHIlFRZCvKMoCAFf0/jkSwIWQdJsverc1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yP5WVmo77rDYsQTFJYuKibhBu9WeZONjbVsSWokJkY6CVtFUepy/q1NAjSapkXXtdpGhbrLlmOL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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1bd847c390>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 380
}
},
"output_type": "display_data"
}
],
"source": [
"xx = np.linspace(low, high, 100)\n",
"\n",
"marginal(0, 20)\n",
"plt.plot(xx, np.sin(xx) * xx)"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1bd83551d0>]"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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igORk4Ngx4PBhyeUk6odBPkUWRZGTxM6dUriVng5M8PxN16qgIDyC+v7C+QKE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1lyG+wqSyc5/RUAnomZxqWthrhlH+2itFTuqZGRkhFVadloNJJMs1GAmxTYkaGBXSmoKeEL0wJc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\nT9KIGGCnxAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1bd83552b0>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 380
}
},
"output_type": "display_data"
}
],
"source": [
"marginal(1, bins=15)\n",
"plt.plot(xx, np.cos(xx)*xx)"
]
},
{
"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": "3.5.1"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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