Created
November 27, 2019 10:03
-
-
Save Shirataki2/66eb56ec28480d1d5c817bc931e93c09 to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 190, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import os, tqdm\n", | |
| "\n", | |
| "%config InlineBackend.figure_formats = {'png', 'retina'}" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 184, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "class VariationalLinearRegression:\n", | |
| " def __init__(self, M):\n", | |
| " self._param = None\n", | |
| " self.M = M\n", | |
| " \n", | |
| " def fit_init(self, Phi, t):\n", | |
| " self.elbos = []\n", | |
| " self.num_sample, self.ndim = Phi.shape\n", | |
| " self.a0 = 1.\n", | |
| " self.b0 = 1.\n", | |
| " self.c0 = 1.\n", | |
| " self.d0 = 1.\n", | |
| " self.alpha = .1\n", | |
| " self.beta = 10\n", | |
| " self.m = np.zeros(self.ndim)\n", | |
| " self.S = np.eye(self.ndim)\n", | |
| " self.a, self.b, self.c, self.d = self.a0, self.b0, self.c0, self.d0\n", | |
| " \n", | |
| " def is_convergef_params(self):\n", | |
| " if self._param is None:\n", | |
| " self._param = [self.m, self.S.ravel(), self.a, self.b, self.c, self.d]\n", | |
| " return False\n", | |
| " param = [self.m, self.S.ravel(), self.a, self.b, self.c, self.d]\n", | |
| " if np.array([np.allclose(self._param[i], param[i], rtol=1e-4) for i in range(len(param))]).all():\n", | |
| " return True\n", | |
| " else:\n", | |
| " self._param = param\n", | |
| " return False\n", | |
| " \n", | |
| " def fit_once(self, Phi, t):\n", | |
| " Ewtw = np.linalg.norm(self.m) ** 2 + np.trace(self.S)\n", | |
| " Ewwt = self.m @ self.m.T + self.S\n", | |
| " Ealpha = self.a / self.b\n", | |
| " t_Pw2 = (np.linalg.norm(t - Phi.dot(self.m)) **\n", | |
| " 2. + np.trace(Phi.T.dot(Phi).dot(self.S)))\n", | |
| " self.S = np.linalg.inv(Ealpha + self.c / self.d * Phi.T @ Phi)\n", | |
| " self.m = self.c / self.d * self.S @ Phi.T @ t\n", | |
| " self.a = self.a0 + self.ndim / 2\n", | |
| " self.b = self.b0 + Ewtw / 2\n", | |
| " self.c = self.c0 + self.num_sample / 2\n", | |
| " self.d = self.d0 + t_Pw2 / 2\n", | |
| " self.alpha = self.a / self.b\n", | |
| " self.beta = self.c / self.d\n", | |
| " return self.is_convergef_params()\n", | |
| " \n", | |
| " def fit(self, X, t, num_iter=1000):\n", | |
| " Phi = np.empty((X.shape[0], self.M + 1))\n", | |
| " for i, col in enumerate(Phi.T):\n", | |
| " Phi[:,i] = X**i\n", | |
| " self.fit_init(Phi, t)\n", | |
| " for i in range(num_iter):\n", | |
| " if self.fit_once(Phi, t):\n", | |
| " #print(f\"Iter: {i + 1} all parameter converged\")\n", | |
| " break\n", | |
| " else:\n", | |
| " print(f\"parameter may not be converged\")\n", | |
| " \n", | |
| " \n", | |
| " def predict(self, x):\n", | |
| " Phi = np.empty((x.shape[0], self.M + 1))\n", | |
| " for i, col in enumerate(Phi.T):\n", | |
| " Phi[:,i] = x**i\n", | |
| " mean = Phi @ self.m\n", | |
| " std = self.d / self.c + np.einsum(\"AB,BC,CD->A\", Phi, self.S, Phi.T)\n", | |
| " return mean, np.sqrt(std)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 185, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def generate_data(noise_scale, N):\n", | |
| " X_train = np.linspace(-1, 1, N)\n", | |
| " t_train = 2 * np.sin(np.pi* (X_train + 1)) + np.random.normal(scale=noise_scale,size=(N,))\n", | |
| " return X_train, t_train\n", | |
| "\n", | |
| "def display_data(X, t, model=None, save=None):\n", | |
| " fig = plt.figure(figsize=(7,5))\n", | |
| " x = np.linspace(-1, 1, 200)\n", | |
| " plt.plot(x, 2*np.sin(np.pi * (x + 1)))\n", | |
| " plt.scatter(X, t, facecolors='none', edgecolors='r', alpha=.5)\n", | |
| " if model != None:\n", | |
| " t_mean, t_std = model.predict(x)\n", | |
| " plt.plot(x, t_mean, c='g')\n", | |
| " plt.ylim((-3, 3))\n", | |
| " plt.fill_between(x, t_mean-t_std, t_mean+t_std, color='b', alpha=.05)\n", | |
| " plt.title(r\"$N=%d, M=%d, \\alpha=%.3g, \\beta=%.3g$\" % (len(t), model.M, model.alpha, model.beta))\n", | |
| " if save:\n", | |
| " plt.savefig(save)\n", | |
| " plt.close()\n", | |
| " else:\n", | |
| " plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 186, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 504x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 302, | |
| "width": 426 | |
| }, | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "X_train, t_train = generate_data(0.3, 10)\n", | |
| "\n", | |
| "display_data(X_train, t_train)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 187, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 504x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 319, | |
| "width": 426 | |
| }, | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "M = 3\n", | |
| "model = VariationalLinearRegression(M)\n", | |
| "model.fit(X_train, t_train)\n", | |
| "display_data(X_train, t_train, model)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 198, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "application/vnd.jupyter.widget-view+json": { | |
| "model_id": "71e85adbe315474fa446e30da8658b49", | |
| "version_major": 2, | |
| "version_minor": 0 | |
| }, | |
| "text/plain": [ | |
| "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:65: RuntimeWarning: invalid value encountered in sqrt\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "!rm -r figs\n", | |
| "M = 6\n", | |
| "PP = 4\n", | |
| "XX, TT = generate_data(.3, int(10**PP))\n", | |
| "idx = np.random.permutation(int(10**PP))\n", | |
| "XX, TT = XX[idx], TT[idx]\n", | |
| "j = 0\n", | |
| "for i_float in tqdm.tqdm_notebook(np.logspace(1, PP, 1000)):\n", | |
| " i = int(i_float)\n", | |
| " j += 1\n", | |
| " model = VariationalLinearRegression(M)\n", | |
| " os.makedirs('figs', exist_ok=True)\n", | |
| " x = XX[:i]\n", | |
| " t = TT[:i]\n", | |
| " model.fit(x, t)\n", | |
| " display_data(x, t, model, f\"figs/{j:04d}.png\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 199, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "!ffmpeg -y -r 20 -i figs/%04d.png -b 8000k -pix_fmt yuv420p -vcodec libx264 -r 20 process.mp4 -loglevel error" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 200, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<video src=\"./process.mp4\" controls >\n", | |
| " Your browser does not support the <code>video</code> element.\n", | |
| " </video>" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Video object>" | |
| ] | |
| }, | |
| "execution_count": 200, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "from IPython.display import Video\n", | |
| "Video(\"./process.mp4\")" | |
| ] | |
| }, | |
| { | |
| "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": "3.7.4" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 4 | |
| } |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment