{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%run ../initscript.py\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from ipywidgets import *\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Kernel Methods"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"sys.path.append('Modules')\n",
"from DesignMat import Polynomial, Gaussian, Sigmoidal\n",
"\n",
"np.random.seed(1234)\n",
"def sinusoidal(x):\n",
" return np.sin(2 * np.pi * x)\n",
"\n",
"def create_data(func, sample_size, std, domain=[0, 1]):\n",
" x = np.linspace(*domain, sample_size)\n",
" np.random.shuffle(x)\n",
" t = func(x) + np.random.normal(scale=std, size=x.shape)\n",
" return x, t\n",
"\n",
"def kernel(x, y, param = [1, 15, 0, 0], pairwise=True):\n",
" if pairwise:\n",
" x, y = (np.tile(x, (len(y), 1)).transpose(1, 0), np.tile(y, (len(x), 1)))\n",
" return param[0] * np.exp(-0.5 * param[1] * (x - y) ** 2) + param[2] + param[3] * np.multiply(x, y)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def equiv_kernel(func, x_train, x):\n",
" beta = 100 # large beta gives better result, especially for polynomial basis\n",
" phi = func.dm(x_train)\n",
" K = phi.dot(phi.T) # Gram matrix\n",
" return np.linalg.inv(np.eye(x_train.shape[0]) / beta + K).dot(phi.dot(func.dm(x).T)) # see (6.9)\n",
"\n",
"funcs = {'Polynomial': [11], 'Gaussian': [np.linspace(-1, 1, 11), 0.1],'Sigmoidal': [np.linspace(-1, 1, 11), 10]}\n",
"\n",
"x = np.linspace(-1, 1, 100)\n",
"x0 = np.array([0])\n",
"\n",
"plt.figure(figsize=(15, 8))\n",
"plt.suptitle('Kernels Functions', fontsize=16)\n",
"for i, (key, value) in enumerate(funcs.items()):\n",
" plt.subplot(2, 3, i + 1)\n",
" phi = globals()[key](*value).dm(x)\n",
" for j in range(12):\n",
" plt.plot(x, phi[:, j])\n",
" plt.subplot(2, 3, i + 4)\n",
" y = equiv_kernel(globals()[key](*value), x, x0)\n",
" plt.plot(x, y)\n",
"\n",
"\n",
"x_train, t_train = create_data(sinusoidal, 10, 0.25)\n",
"x_test = np.linspace(0, 1, 100)\n",
"t_test = sinusoidal(x_test)\n",
"\n",
"fig = plt.figure(figsize=(12, 8))\n",
"plt.suptitle('Curve Fitting by Kernels', fontsize=16)\n",
"for i, (key, value) in enumerate(funcs.items()):\n",
" y = equiv_kernel(globals()[key](*value), x_train, x_test)\n",
" t = y.T.dot(t_train)\n",
" plt.subplot(2, 2, i+1)\n",
" plt.scatter(x_train, t_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"training data\")\n",
" plt.title(key)\n",
" plt.plot(x_test, t_test, label=\"$\\sin(2\\pi x)$\")\n",
" plt.plot(x_test, t, label=\"prediction\")\n",
" plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gaussian Process for Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\begin{align*}\n",
"C_n = \\frac{1}{\\alpha} \\Phi \\Phi^\\intercal + \\frac{1}{\\beta} \\textrm{I}_n\n",
"\\end{align*}\n",
"\n",
"\\begin{align*}\n",
"(\\textrm{I} + AB)^{-1} A = A (\\textrm{I} + BA)^{-1}\n",
"\\end{align*}\n",
"\n",
"\n",
"\\begin{align*}\n",
"\\Phi^{\\intercal} (\\alpha^{-1} \\Phi \\Phi^\\intercal + \\beta^{-1} \\textrm{I}_n)^{-1} = \\alpha \\beta (\\beta \\Phi^\\intercal \\Phi + \\alpha \\textrm{I}_m)^{-1} \\Phi^\\intercal = \\alpha \\beta S_{n} \\Phi^{\\intercal}\n",
"\\end{align*}\n",
"\n",
"\\begin{align*}\n",
"\\textbf{m}_{n+1} &= \\alpha^{-1} \\phi(x_{n+1})^\\intercal \\Phi^{\\intercal} (\\alpha^{-1} \\Phi \\Phi^\\intercal + \\beta^{-1} \\textrm{I}_n)^{-1} \\mathbf{t} \\\\\n",
"& = \\beta \\phi(x_{n+1})^\\intercal S_{n} \\Phi^{\\intercal} \\mathbf{t} \n",
"\\end{align*}"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(-1, 1, 100)\n",
"params = [[1, 4, 0, 0], \n",
" [9, 4, 0 , 0],\n",
" [1, 64, 0, 0],\n",
" [1, 0.25, 0, 0],\n",
" [1, 4, 10, 0],\n",
" [1, 4, 0, 5]]\n",
"\n",
"plt.figure(figsize=(15, 8))\n",
"for n in range(len(params)):\n",
" plt.subplot(2, 3, n+1)\n",
" plt.gca().set_title(\"{}\".format(params[n]))\n",
" y = np.random.multivariate_normal(np.zeros(len(x)), kernel(x, x, params[n]), 5)\n",
" for i in range(5):\n",
" plt.plot(x, y[i], label=params[0])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(1234)\n",
"x_train, t_train = create_data(sinusoidal, 7, std=0.1, domain=[0., 0.7])\n",
"x = np.linspace(0, 1, 100)\n",
"\n",
"beta = 100\n",
"I = np.eye(len(x_train))\n",
"\n",
"Gram = kernel(x_train, x_train)\n",
"K = kernel(x, x_train)\n",
"covariance = Gram + I / beta # (6.62) \n",
"precision = np.linalg.inv(covariance)\n",
"t = K @ precision @ t_train # (6.66)\n",
"t_std = kernel(x, x, pairwise=False) + 1 / beta - np.sum(K @ precision * K, axis=1) # (6.67)\n",
"\n",
"plt.scatter(x_train, t_train, facecolor=\"none\", edgecolor=\"b\", color=\"blue\", label=\"training\")\n",
"plt.plot(x, sinusoidal(x), color=\"g\", label=\"sin$(2\\pi x)$\")\n",
"plt.plot(x, t, color=\"r\", label=\"GPR\")\n",
"plt.fill_between(x, t - t_std, t + t_std, alpha=0.5, color=\"pink\", label=\"std\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sklearn.gaussian_process import GaussianProcessRegressor\n",
"from sklearn.gaussian_process.kernels import RBF, ConstantKernel\n",
"\n",
"kernel = ConstantKernel(1) * RBF(1/np.sqrt(15), (1e-2, 1e2))\n",
"gp = GaussianProcessRegressor(kernel=kernel)\n",
"gp.fit(x_train.reshape(-1,1), t_train)\n",
"\n",
"t, t_std = gp.predict(x.reshape(-1,1), return_std=True)\n",
"plt.scatter(x_train, t_train, facecolor=\"none\", edgecolor=\"b\", color=\"blue\", label=\"training\")\n",
"plt.plot(x, sinusoidal(x), color=\"g\", label=\"sin$(2\\pi x)$\")\n",
"plt.plot(x, t, color=\"r\", label=\"GPR\")\n",
"plt.fill_between(x, t - 2*t_std, t + 2*t_std, alpha=0.5, color=\"pink\", label=\"std\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A simple one-dimensional regression example computed in two different ways:\n",
"\n",
"1. A noise-free case\n",
"2. A noisy case with known noise-level per datapoint\n",
"\n",
"In both cases, the kernel's parameters are estimated using the maximum likelihood principle.\n",
"\n",
"The figures illustrate the interpolating property of the Gaussian Process model as well as its probabilistic nature in the form of a pointwise 95% confidence interval.\n",
"\n",
"Note that the parameter ``alpha`` is applied as a regularization of the assumed covariance between the training points."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
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],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from sklearn.gaussian_process import GaussianProcessRegressor\n",
"from sklearn.gaussian_process.kernels import RBF, ConstantKernel as C\n",
"\n",
"np.random.seed(123)\n",
"\n",
"def f(x):\n",
" \"\"\"The function to predict.\"\"\"\n",
" return x * np.sin(x)\n",
"\n",
"# ----------------------------------------------------------------------\n",
"# First the noiseless case\n",
"X = np.atleast_2d([1., 3., 5., 6., 7., 8.]).T\n",
"\n",
"# Observations\n",
"y = f(X).ravel()\n",
"\n",
"# Mesh the input space for evaluations of the real function, the prediction and\n",
"# its MSE\n",
"x = np.atleast_2d(np.linspace(0, 10, 1000)).T\n",
"\n",
"# Instantiate a Gaussian Process model\n",
"kernel = C(1.0, (1e-3, 1e3)) * RBF(10, (1e-2, 1e2))\n",
"gp = GaussianProcessRegressor(kernel=kernel, n_restarts_optimizer=9)\n",
"\n",
"# Fit to data using Maximum Likelihood Estimation of the parameters\n",
"gp.fit(X, y)\n",
"\n",
"# Make the prediction on the meshed x-axis (ask for MSE as well)\n",
"y_pred, sigma = gp.predict(x, return_std=True)\n",
"\n",
"# Plot the function, the prediction and the 95% confidence interval based on\n",
"# the MSE\n",
"plt.figure()\n",
"plt.plot(x, f(x), 'r:', label=u'$f(x) = x\\,\\sin(x)$')\n",
"plt.plot(X, y, 'r.', markersize=10, label=u'Observations')\n",
"plt.plot(x, y_pred, 'b-', label=u'Prediction')\n",
"plt.fill(np.concatenate([x, x[::-1]]),\n",
" np.concatenate([y_pred - 1.9600 * sigma,\n",
" (y_pred + 1.9600 * sigma)[::-1]]),\n",
" alpha=.5, fc='b', ec='None', label='95% confidence interval')\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$f(x)$')\n",
"plt.ylim(-10, 20)\n",
"plt.legend(loc='upper left')\n",
"\n",
"# ----------------------------------------------------------------------\n",
"# now the noisy case\n",
"X = np.linspace(0.1, 9.9, 20)\n",
"X = np.atleast_2d(X).T\n",
"\n",
"# Observations and noise\n",
"y = f(X).ravel()\n",
"dy = 0.5 + 1.0 * np.random.random(y.shape)\n",
"noise = np.random.normal(0, dy)\n",
"y += noise\n",
"\n",
"# Instantiate a Gaussian Process model\n",
"gp = GaussianProcessRegressor(kernel=kernel, alpha=dy ** 2,\n",
" n_restarts_optimizer=10)\n",
"\n",
"# Fit to data using Maximum Likelihood Estimation of the parameters\n",
"gp.fit(X, y)\n",
"\n",
"# Make the prediction on the meshed x-axis (ask for MSE as well)\n",
"y_pred, sigma = gp.predict(x, return_std=True)\n",
"\n",
"# Plot the function, the prediction and the 95% confidence interval based on\n",
"# the MSE\n",
"plt.figure()\n",
"plt.plot(x, f(x), 'r:', label=u'$f(x) = x\\,\\sin(x)$')\n",
"plt.errorbar(X.ravel(), y, dy, fmt='r.', markersize=10, label=u'Observations')\n",
"plt.plot(x, y_pred, 'b-', label=u'Prediction')\n",
"plt.fill(np.concatenate([x, x[::-1]]),\n",
" np.concatenate([y_pred - 1.9600 * sigma,\n",
" (y_pred + 1.9600 * sigma)[::-1]]),\n",
" alpha=.5, fc='b', ec='None', label='95% confidence interval')\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$f(x)$')\n",
"plt.ylim(-10, 20)\n",
"plt.legend(loc='upper left')\n",
"\n",
"plt.show()"
]
}
],
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