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@ericmjl
Created December 13, 2018 05:35
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Extending GPs to 2 dimensions
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"# A Fundamental Property of Gaussians\n",
"\n",
"A multivariate Gaussian is nothing more than a generalization of the univariate Gaussian. \n",
"\n",
"We parameterize univariate Gaussians with a $\\mu$ and $\\sigma$, where $\\mu$ and $\\sigma$ are scalars.\n",
"\n",
"A bivariate Gaussian is two univariate Gaussians that may also share a relationship to one another. We can jointly model both Gaussians by modelling not just how they vary independently, but also how they vary with one another. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x11dc0b710>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mu1 = np.array(0)\n",
"mu2 = np.array(0)\n",
"sig11 = np.array(3)\n",
"sig12 = np.array(-2)\n",
"sig21 = np.array(-2)\n",
"sig22 = np.array(4)\n",
"\n",
"mean = np.array([mu1, mu2])\n",
"cov = np.array([[sig11, sig12], [sig21, sig22]])\n",
"draws = np.random.multivariate_normal(mean, cov, size=1000)\n",
"plt.scatter(*draws.T)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of the fundamental properties of Gaussians is that if you have a Multivariate Gaussian (e.g. a joint distribution of 2 or more Gaussian random variables), if we condition on any subset of Gaussians, the joint distribution of the rest of the Gaussians can be found analytically. There's a formula, and it's expressed in code below."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 2.666666666666667)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x1 = 0\n",
"mu_2g1 = mu2 + sig21 * 1 / sig11 * (x1 - mu1)\n",
"sig_2g1 = sig22 - sig21 * 1 / sig11 * sig12\n",
"mu_2g1, sig_2g1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Go ahead and play with the slider below."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "970dbcb707654e6f8d87e81ff6f3731f",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.0, continuous_update=False, description='x1', max=4.0, min=-4.0), Ou…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ipywidgets import interact, FloatSlider, IntSlider\n",
"\n",
"@interact(x1=FloatSlider(min=-4, max=4, continuous_update=False))\n",
"def plot_conditional(x1):\n",
" fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 6))\n",
" axes[0].scatter(*draws.T)\n",
" axes[0].vlines(x=x1, ymin=draws[:, 1].min(), ymax=draws[:, 1].max(), color='red')\n",
" axes[0].hlines(y=0, xmin=draws[:, 0].min(), xmax=draws[:, 0].max(), color='black')\n",
" \n",
" # Compute Conditional\n",
" mu_2g1 = mu2 + sig21 * 1 / sig11 * (x1 - mu1)\n",
" sig_2g1 = sig22 - sig21 * 1 / sig11 * sig12\n",
" x2_draws = np.random.normal(mu_2g1, sig_2g1, size=10000)\n",
" axes[1].hist(x2_draws, bins=100, color='red')\n",
" axes[1].vlines(x=0, ymin=0, ymax=400, color='black')\n",
" axes[1].set_xlim(-10, 10)\n",
" axes[1].set_ylim(0, 400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D $\\mu$s\n",
"Take this into higher dimensions. Let's not compare two scalar $\\mu$s, but now do two $\\mu$s that are each a vector of 2 dimensions."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"mu1 = np.array([0, 0])\n",
"mu2 = np.array([0, 0])\n",
"sig11 = np.array([[1, 0], [0, 1]])\n",
"sig12 = np.array([[2, 0], [0, 2]])\n",
"sig21 = sig12.T\n",
"sig22 = np.array([[0.8, 0], [0, 0.8]])\n",
"\n",
"mean = np.array([mu1, mu2])\n",
"cov = np.array([[sig11, sig12], [sig21, sig22]])\n",
"\n",
"# draws = np.random.multivariate_normal(mean, cov, size=1000)\n",
"# plt.scatter(*draws.T)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([[-3.2, 0. ],\n",
" [ 0. , -3.2]]), array([ 0., -6.]))"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cov\n",
"x1 = np.array([0, -3])\n",
"mu_2g1 = mu2 + sig21 @ np.linalg.inv(sig11) @ (x1 - mu1)\n",
"sig_2g1 = sig22 - sig21 @ np.linalg.inv(sig11) @ sig12\n",
"sig_2g1, mu_2g1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Implementing GP Prior\n",
"\n",
"When we use a GP, we're essentially modelling the **outputs** as being described by a joint Gaussian distribution. \n",
"\n",
"We would like to be able to specify the covariance matrix as a function of the distances between the inputs - regardless of whether the inputs are 1-D, 2-D, or more. That is the key to generalizing from 1D examples to the 2D examples commonly shown."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a222f62e8>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"\n",
"n = 50\n",
"x_train = np.linspace(-5, 5, n).reshape(-1, 1)\n",
"\n",
"# sns.heatmap(x_train - x_train.T, cmap='RdBu')\n",
"\n",
"def sq_exp(x1, x2):\n",
" \"\"\"\n",
" Squared exponential kernel.\n",
" \n",
" Assumes that x1 and x2 have the same shape.\n",
" \"\"\"\n",
" diff = x1 - x2.T\n",
" sqdiff = np.power(diff, 2)\n",
" return np.exp(-0.5 * sqdiff)\n",
"\n",
"\n",
"\n",
"sns.heatmap(sq_exp(x_train, x_train), cmap='RdBu')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Draw from prior."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"K = sq_exp(x_train, x_train)\n",
"eps = 1E-6 * np.eye(n) # \n",
"L = np.linalg.cholesky(K + eps)\n",
"\n",
"f_prior = np.dot(L, np.random.normal(size=(n, 10)))\n",
"plt.plot(x_train, f_prior)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1a23948668>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 382
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def true_function(x):\n",
" return np.sin(x)\n",
"\n",
"n = 200\n",
"x_samp = np.array([-4, -np.pi, -np.pi+1, 4, np.pi, 0, np.pi / 2, 2, -5, -1, 5]).reshape(-1, 1)\n",
"f_samp = true_function(x_samp)\n",
"K_samp = sq_exp(x_samp, x_samp)\n",
"eps = 1E-6 * np.eye(len(x_samp))\n",
"L_samp = np.linalg.cholesky(K_samp + eps)\n",
"\n",
"x_s = np.linspace(-5, 5, n).reshape(-1, 1)\n",
"K_ss = sq_exp(x_s, x_s)\n",
"K_s = sq_exp(x_samp, x_s)\n",
"\n",
"mu_cond = K_s.T @ np.linalg.inv(K_samp) @ f_samp\n",
"sig_cond = K_ss - K_s.T @ np.linalg.inv(K_samp) @ K_s\n",
"\n",
"f_posterior = np.random.multivariate_normal(mu_cond.flatten(), sig_cond, size=100)\n",
"\n",
"for f in f_posterior:\n",
" plt.plot(x_s, f, color='grey', alpha=0.1)\n",
"plt.scatter(x_samp, f_samp)\n",
"plt.plot(x_s, true_function(x_s))\n",
"plt.plot(x_s, mu_cond.flatten())"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.014988868789183374"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sig_cond.min()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a242bc048>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 261,
"width": 380
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(sig_cond, cmap='RdBu')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can rewrite extend this code to apply in two dimensions. Let's say that our data lived on a grid, rather than on a single dimension. A periodic function is applied on a 2D grid."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def true_function(x1, x2):\n",
" # return np.sin(x1**2 + x2**2) / (x1**2 + x2**2)\n",
" return np.sin(x1) + np.sin(x2)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x1 = np.linspace(-5, 5, 100)\n",
"x2 = np.linspace(-5, 5, 100)\n",
"xx1, xx2 = np.meshgrid(x1, x2, sparse=True)\n",
"z = true_function(xx1, xx2)\n",
"h = plt.contourf(x1, x2, z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Prior"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's sample a prior from a 2D plane."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m \u001b[0msq_exp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mSource:\u001b[0m \n",
"\u001b[0;32mdef\u001b[0m \u001b[0msq_exp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0;34m\"\"\"\u001b[0m\n",
"\u001b[0;34m Squared exponential kernel.\u001b[0m\n",
"\u001b[0;34m \u001b[0m\n",
"\u001b[0;34m Assumes that x1 and x2 have the same shape.\u001b[0m\n",
"\u001b[0;34m \"\"\"\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mdiff\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx1\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0msqdiff\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpower\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdiff\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mexp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m0.5\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0msqdiff\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mFile:\u001b[0m ~/Desktop/notebooks/<ipython-input-7-29df9249ca7a>\n",
"\u001b[0;31mType:\u001b[0m function\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sq_exp??"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"x1 = np.array([[2, 2], [2, 1], [1, 2], [1, 1]])\n",
"\n",
"def sq_exp2d(x1, x2):\n",
" d = scipy.spatial.distance.cdist(x1, x2)\n",
" return np.exp(-0.5 * np.power(d, 2))"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 372
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x1 = np.linspace(-5, 5, 20)\n",
"x2 = np.linspace(-5, 5, 20)\n",
"xx1, xx2 = np.meshgrid(x1, x2, sparse=True)\n",
"z = true_function(xx1, xx2)\n",
"h = plt.contourf(x1, x2, z)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(20, 20)"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"true_function(xx1, xx2).shape"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x1a25722da0>"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 231,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"z = true_function(xx1, xx2)\n",
"ax.plot_surface(xx1, xx2, z)"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [],
"source": [
"x_samp = np.array([[0, 3], [1, 2], [1, -5], [-2, -2], [-2, 2]])\n",
"\n",
"f_samp = true_function(x_samp[:, 0], x_samp[:, 1])\n",
"\n",
"K_samp = sq_exp2d(x_samp, x_samp)\n",
"\n",
"eps = 1E-6 * np.eye(len(x_samp))\n",
"L_samp = np.linalg.cholesky(K_samp + eps)\n",
"\n",
"n = 35\n",
"x_points = np.linspace(-5, 5, n).reshape(-1, 1)\n",
"xx1, xx2 = np.meshgrid(x_points, x_points, sparse=False)\n",
"x_spts = np.vstack([xx1.flatten(), xx2.flatten()])\n",
"K_ss = sq_exp2d(x_spts.T, x_spts.T)\n",
"K_s = sq_exp2d(x_samp, x_spts.T)\n",
"\n",
"mu_cond = K_s.T @ np.linalg.inv(K_samp) @ f_samp.flatten()\n",
"sig_cond = K_ss - K_s.T @ np.linalg.inv(K_samp) @ K_s\n",
"\n",
"n_samps = 1000\n",
"f_posterior = np.random.multivariate_normal(mu_cond, sig_cond, size=n_samps)\n",
"\n",
"# for f in f_posterior:\n",
"# plt.plot(x_s, f, color='grey', alpha=0.1)\n",
"# plt.scatter(x_samp, f_samp)\n",
"# plt.plot(x_s, true_function(x_train))\n",
"# plt.plot(x_s, mu_cond.flatten())"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[3.29865925, 3.01689767, 2.92557632, ..., 3.20376521, 2.58923869,\n",
" 2.6425602 ],\n",
" [2.936275 , 2.91799463, 2.89886065, ..., 2.78845201, 2.84905724,\n",
" 2.75235816],\n",
" [2.93057072, 2.84480316, 2.91103682, ..., 3.18386779, 3.08053237,\n",
" 2.79325105],\n",
" ...,\n",
" [3.15655412, 2.99223813, 3.22949092, ..., 2.96596232, 2.92897585,\n",
" 2.85771562],\n",
" [3.1570815 , 2.88543771, 3.00108884, ..., 3.17784904, 3.00440434,\n",
" 2.66810873],\n",
" [2.89514131, 2.69820532, 2.38622024, ..., 3.13238308, 3.21401337,\n",
" 3.05463768]])"
]
},
"execution_count": 147,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f_posterior.reshape(n_samps, n, n).max(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1225,)"
]
},
"execution_count": 148,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu_cond.shape"
]
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 231,
"width": 349
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"ax.plot_surface(xx1, xx2, mu_cond.reshape(n, n))\n",
"ax.set_title('mean')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {},
"outputs": [],
"source": [
"maximum = f_posterior.reshape(n_samps, n, n).max(axis=0)\n",
"minimum = f_posterior.reshape(n_samps, n, n).min(axis=0)\n",
"uncertainty = maximum - minimum"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x360 with 3 Axes>"
]
},
"metadata": {
"image/png": {
"height": 307,
"width": 874
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(15, 5), sharex=True, sharey=True)\n",
"axes[0].contourf(xx1, xx2, maximum)\n",
"axes[0].set_title('maximum')\n",
"axes[0].scatter(*x_samp.T, color='red')\n",
"axes[0].set_aspect('equal')\n",
"\n",
"axes[1].contourf(xx1, xx2, z)\n",
"axes[1].set_title('ground truth')\n",
"axes[1].scatter(*x_samp.T, color='red')\n",
"axes[1].set_aspect('equal')\n",
"\n",
"axes[2].contourf(xx1, xx2, mu_cond.reshape(n, n))\n",
"axes[2].set_title('mean')\n",
"axes[2].scatter(*x_samp.T, color='red')\n",
"axes[2].set_aspect('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The key ingredient of a GP: A Kernel that can model \"distance\" of some kind between every pair of inputs."
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([3.23529412])"
]
},
"execution_count": 170,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x1_new, x2_new = np.where(maximum == maximum.max())\n",
"xx1, xx2 = np.meshgrid(x_points, x_points, sparse=True)\n",
"xx1.flatten()[x1_new]\n",
"xx2.flatten()[x2_new]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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