├── LICENSE ├── README.md └── normalizing_flows.ipynb /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2021 Brennan Gebotys 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # introduction_to_normalizing_flows -------------------------------------------------------------------------------- /normalizing_flows.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "code", 5 | "execution_count": 1, 6 | "metadata": {}, 7 | "outputs": [], 8 | "source": [ 9 | "from __future__ import division\n", 10 | "\n", 11 | "from sklearn import cluster, datasets, mixture\n", 12 | "from sklearn.preprocessing import StandardScaler\n", 13 | "import matplotlib.pyplot as plt" 14 | ] 15 | }, 16 | { 17 | "cell_type": "code", 18 | "execution_count": 2, 19 | "metadata": {}, 20 | "outputs": [], 21 | "source": [ 22 | "n_samples = 2000\n", 23 | "noisy_moons = datasets.make_moons(n_samples=n_samples, noise=.05)\n", 24 | "X, y = noisy_moons\n", 25 | "# normalize\n", 26 | "X = StandardScaler().fit_transform(X)" 27 | ] 28 | }, 29 | { 30 | "cell_type": "code", 31 | "execution_count": 3, 32 | "metadata": {}, 33 | "outputs": [ 34 | { 35 | "data": { 36 | "text/plain": [ 37 | "" 38 | ] 39 | }, 40 | "execution_count": 3, 41 | "metadata": {}, 42 | "output_type": "execute_result" 43 | }, 44 | { 45 | "data": { 46 | "image/png": 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\n", 47 | "text/plain": [ 48 | "
" 49 | ] 50 | }, 51 | "metadata": { 52 | "needs_background": "light" 53 | }, 54 | "output_type": "display_data" 55 | } 56 | ], 57 | "source": [ 58 | "plt.scatter(X[:, 0], X[:, 1])" 59 | ] 60 | }, 61 | { 62 | "cell_type": "markdown", 63 | "metadata": {}, 64 | "source": [ 65 | "# R-NVP" 66 | ] 67 | }, 68 | { 69 | "cell_type": "code", 70 | "execution_count": 4, 71 | "metadata": {}, 72 | "outputs": [], 73 | "source": [ 74 | "import torch\n", 75 | "import torch.nn as nn \n", 76 | "from math import pi \n", 77 | "\n", 78 | "from torch.distributions.multivariate_normal import MultivariateNormal\n", 79 | "from torch.distributions import LogisticNormal" 80 | ] 81 | }, 82 | { 83 | "cell_type": "code", 84 | "execution_count": 5, 85 | "metadata": {}, 86 | "outputs": [ 87 | { 88 | "data": { 89 | "image/png": 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\n", 90 | "text/plain": [ 91 | "
" 92 | ] 93 | }, 94 | "metadata": { 95 | "needs_background": "light" 96 | }, 97 | "output_type": "display_data" 98 | } 99 | ], 100 | "source": [ 101 | "base_mu, base_cov = torch.zeros(2), torch.eye(2)\n", 102 | "base_dist = MultivariateNormal(base_mu, base_cov)\n", 103 | "Z = base_dist.rsample(sample_shape=(3000,))\n", 104 | "plt.scatter(Z[:, 0], Z[:, 1])\n", 105 | "plt.show()" 106 | ] 107 | }, 108 | { 109 | "cell_type": "code", 110 | "execution_count": 6, 111 | "metadata": {}, 112 | "outputs": [], 113 | "source": [ 114 | "class R_NVP(nn.Module):\n", 115 | " def __init__(self, d, k, hidden):\n", 116 | " super().__init__()\n", 117 | " self.d, self.k = d, k\n", 118 | " self.sig_net = nn.Sequential(\n", 119 | " nn.Linear(k, hidden),\n", 120 | " nn.LeakyReLU(),\n", 121 | " nn.Linear(hidden, d - k))\n", 122 | "\n", 123 | " self.mu_net = nn.Sequential(\n", 124 | " nn.Linear(k, hidden),\n", 125 | " nn.LeakyReLU(),\n", 126 | " nn.Linear(hidden, d - k))\n", 127 | "\n", 128 | " def forward(self, x, flip=False):\n", 129 | " x1, x2 = x[:, :self.k], x[:, self.k:] \n", 130 | "\n", 131 | " if flip:\n", 132 | " x2, x1 = x1, x2\n", 133 | " \n", 134 | " # forward\n", 135 | " sig = self.sig_net(x1)\n", 136 | " z1, z2 = x1, x2 * torch.exp(sig) + self.mu_net(x1)\n", 137 | " \n", 138 | " if flip:\n", 139 | " z2, z1 = z1, z2\n", 140 | " \n", 141 | " z_hat = torch.cat([z1, z2], dim=-1)\n", 142 | "\n", 143 | " log_pz = base_dist.log_prob(z_hat)\n", 144 | " log_jacob = sig.sum(-1)\n", 145 | " \n", 146 | " return z_hat, log_pz, log_jacob\n", 147 | " \n", 148 | " def inverse(self, Z, flip=False):\n", 149 | " z1, z2 = Z[:, :self.k], Z[:, self.k:] \n", 150 | " \n", 151 | " if flip:\n", 152 | " z2, z1 = z1, z2\n", 153 | " \n", 154 | " x1 = z1\n", 155 | " x2 = (z2 - self.mu_net(z1)) * torch.exp(-self.sig_net(z1))\n", 156 | " \n", 157 | " if flip:\n", 158 | " x2, x1 = x1, x2\n", 159 | " return torch.cat([x1, x2], -1)" 160 | ] 161 | }, 162 | { 163 | "cell_type": "code", 164 | "execution_count": 7, 165 | "metadata": {}, 166 | "outputs": [], 167 | "source": [ 168 | "class stacked_NVP(nn.Module):\n", 169 | " def __init__(self, d, k, hidden, n):\n", 170 | " super().__init__()\n", 171 | " self.bijectors = nn.ModuleList([\n", 172 | " R_NVP(d, k, hidden=hidden) for _ in range(n)\n", 173 | " ])\n", 174 | " self.flips = [True if i%2 else False for i in range(n)]\n", 175 | " \n", 176 | " def forward(self, x):\n", 177 | " log_jacobs = []\n", 178 | " \n", 179 | " for bijector, f in zip(self.bijectors, self.flips):\n", 180 | " x, log_pz, lj = bijector(x, flip=f)\n", 181 | " log_jacobs.append(lj)\n", 182 | " \n", 183 | " return x, log_pz, sum(log_jacobs)\n", 184 | " \n", 185 | " def inverse(self, z):\n", 186 | " for bijector, f in zip(reversed(self.bijectors), reversed(self.flips)):\n", 187 | " z = bijector.inverse(z, flip=f)\n", 188 | " return z" 189 | ] 190 | }, 191 | { 192 | "cell_type": "markdown", 193 | "metadata": {}, 194 | "source": [ 195 | "## Training/Viewing BoilerPlate Code" 196 | ] 197 | }, 198 | { 199 | "cell_type": "code", 200 | "execution_count": 8, 201 | "metadata": {}, 202 | "outputs": [], 203 | "source": [ 204 | "def train(model, epochs, batch_size, optim, scheduler):\n", 205 | " losses = []\n", 206 | " for _ in range(epochs):\n", 207 | "\n", 208 | " # get batch \n", 209 | " X, _ = datasets.make_moons(n_samples=batch_size, noise=.05)\n", 210 | " X = torch.from_numpy(StandardScaler().fit_transform(X)).float()\n", 211 | "\n", 212 | " optim.zero_grad()\n", 213 | " z, log_pz, log_jacob = model(X)\n", 214 | " loss = (-log_pz - log_jacob).mean()\n", 215 | " losses.append(loss)\n", 216 | "\n", 217 | " loss.backward()\n", 218 | " optim.step()\n", 219 | " scheduler.step()\n", 220 | " return losses" 221 | ] 222 | }, 223 | { 224 | "cell_type": "code", 225 | "execution_count": 9, 226 | "metadata": {}, 227 | "outputs": [], 228 | "source": [ 229 | "def view(model, losses):\n", 230 | " plt.plot(losses)\n", 231 | " plt.title(\"Model Loss vs Epoch\")\n", 232 | " plt.xlabel('Epochs')\n", 233 | " plt.ylabel('Loss')\n", 234 | " plt.show()\n", 235 | "\n", 236 | " X_hat = model.inverse(Z).detach().numpy()\n", 237 | " plt.scatter(X_hat[:, 0], X_hat[:, 1])\n", 238 | " plt.title(\"Inverse of Normal Samples Z: X = F^-1(Z)\")\n", 239 | " plt.show()\n", 240 | "\n", 241 | " n_samples = 3000\n", 242 | " X, _ = datasets.make_moons(n_samples=n_samples, noise=.05)\n", 243 | " X = torch.from_numpy(StandardScaler().fit_transform(X)).float()\n", 244 | " z, _, _ = model(X)\n", 245 | " z = z.detach().numpy()\n", 246 | " plt.scatter(z[:, 0], z[:, 1])\n", 247 | " plt.title(\"Transformation of Data Samples X: Z = F(X)\")\n", 248 | " plt.show()" 249 | ] 250 | }, 251 | { 252 | "cell_type": "markdown", 253 | "metadata": {}, 254 | "source": [ 255 | "## Model Params" 256 | ] 257 | }, 258 | { 259 | "cell_type": "code", 260 | "execution_count": 10, 261 | "metadata": {}, 262 | "outputs": [], 263 | "source": [ 264 | "d = 2\n", 265 | "k = 1" 266 | ] 267 | }, 268 | { 269 | "cell_type": "markdown", 270 | "metadata": {}, 271 | "source": [ 272 | "# Single Layer R_NVP" 273 | ] 274 | }, 275 | { 276 | "cell_type": "code", 277 | "execution_count": 11, 278 | "metadata": { 279 | "scrolled": false 280 | }, 281 | "outputs": [ 282 | { 283 | "data": { 284 | "image/png": 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\n", 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\n", 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\n", 309 | "text/plain": [ 310 | "
" 311 | ] 312 | }, 313 | "metadata": { 314 | "needs_background": "light" 315 | }, 316 | "output_type": "display_data" 317 | } 318 | ], 319 | "source": [ 320 | "model = R_NVP(d, k, hidden=512)\n", 321 | "optim = torch.optim.Adam(model.parameters(), lr=1e-3)\n", 322 | "scheduler = torch.optim.lr_scheduler.ExponentialLR(optim, 0.999)\n", 323 | "n_samples = 512\n", 324 | "\n", 325 | "# training loop\n", 326 | "losses = train(model, 1000, n_samples, optim, scheduler)\n", 327 | "view(model, losses)" 328 | ] 329 | }, 330 | { 331 | "cell_type": "markdown", 332 | "metadata": {}, 333 | "source": [ 334 | "# 3 Layer R_NVP" 335 | ] 336 | }, 337 | { 338 | "cell_type": "code", 339 | "execution_count": 18, 340 | "metadata": {}, 341 | "outputs": [ 342 | { 343 | "data": { 344 | "image/png": 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\n", 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\n", 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\n", 369 | "text/plain": [ 370 | "
" 371 | ] 372 | }, 373 | "metadata": { 374 | "needs_background": "light" 375 | }, 376 | "output_type": "display_data" 377 | } 378 | ], 379 | "source": [ 380 | "model = stacked_NVP(d, k, hidden=512, n=3)\n", 381 | "optim = torch.optim.Adam(model.parameters(), lr=1e-3)\n", 382 | "scheduler = torch.optim.lr_scheduler.ExponentialLR(optim, 0.999)\n", 383 | "\n", 384 | "n_samples = 512\n", 385 | "\n", 386 | "# training loop\n", 387 | "losses = train(model, 1000, n_samples, optim, scheduler)\n", 388 | "view(model, losses)" 389 | ] 390 | }, 391 | { 392 | "cell_type": "markdown", 393 | "metadata": {}, 394 | "source": [ 395 | "# 5 Layer R_NVP" 396 | ] 397 | }, 398 | { 399 | "cell_type": "code", 400 | "execution_count": 17, 401 | "metadata": {}, 402 | "outputs": [ 403 | { 404 | "data": { 405 | "image/png": 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UjWrwIpLs2qMGfwUwP8gDpKQYtXWJ3afuZBWRZBdogPfnbT0deDjI46SmQJ1q8CIiUYKuwf8Z+C3QZP3azC4xsyIzKyopKWnVQdTIKiISL7AAb2ZnAOucczN2tp1zbrxzrtA5V5if37ppXoNpZFWEF5HkFmQN/mjgLDMrBp4FTjCzJ4M4kBpZRUTiBRbgnXPXOOf6O+cKgHOAd5xz5wVxrNSUxKdoxPP0tGUcc9c7HV0MEWmFnQ4XnCxSUkyNrAG59uXZHV0EEWmldgnwzrkpwJSg9h9II6ty8FGcc1gQM6uISGDCcyerS+wQv6rBR9PnIZJ8QhHgU/2aZSIr8Ypn0RI/mJuIBC0cAd4/i0SmaTThR7REt3GISPBCEeBTUrwafEIDfML2FA6K7yLJJxQBvj5Fk8g0ggJaNHVDFUk+4QjwAdTgVYePphSNSPIJVYBP5HAFimfR6hI8WqeIBC9UAT6hKZqE7SkcVIMXST6hCPApphp80BTgRZJPKAJ8IDV4BbQo6gcvknzCEeBN3SSDpvguknxCEeBTGhpZE7dPBbRo6iYZbeHachauLe/oYojsVChGk2y4kzWhjawKaABm3pedcvDRTr73fQCK7zy9g0si0rRQ1ODTUrzTmLJgXZv31TBgouJZFHWTFEk+oQjwWempANzy33msKatMyD4V3z3133dfrChl2pINHVqW9lZZXcuidVs6uhgirRaOAJ+R2vB8/prNVNe2vbqpjISnfgz4y575jLPHf0JNAj7bZPG7F2dx0j3vsbmyuqOLItIqoQjwmek7AvwFj07nwsemt3mfysE3bviNE9i6vaaji9EuPly0HvBq8iLJKCQBPvo0pi5c3+Z9qgbviZ3Dqaq2jtdnre6QsrS3+o5DKZrJSpJUYAHezDLN7FMz+8LM5prZLUEdKyuiBl+vrbUuxXdPZGwr2CMbgCXrt3ZQadpX/c1u6kEkySrIGvx24ATn3AhgJHCqmR0ZxIEic/D11m3e3qZ91v/nXldeSWlFVZv2lcwsog5/01kHMDgvhxWbKjqwRO2nvgavewAkWQUW4J2nvgtCuv8I5H9Kht8RvltmGk//bBQAC9e17SaU+oIe8fvJjLnr3TbtKyy6Z6bTKyeDjVs7xxdefc399VmrWVKi3jSSfALNwZtZqpl9DqwDJjnnpjWyzSVmVmRmRSUlJa06Ts/sDEYN7sVff3go+/XtDsBF/ypq23gyjoYeI+WdpFGxUREpmu6ZaZ0qwNf/+dz++nyuePbzji2MSCsEGuCdc7XOuZFAf+AIMzuwkW3GO+cKnXOF+fn5rTpOaorx70tHM3affHrlZLBf324ALC5pfa7Y4Vi2cUcqoqS8bSmfZBXZvNgtM51e2Rms37K9UwzGFpl7X9pJ2h0kXNqlF41zrhR4Fzi1PY5353cPBuCrNowV4hxc/uxnDa+/9bcPO1Uf8HqRjazds9I4YK/urN9SxRcryjquUO0kMsBv2V7DW3PWdGBpRFouyF40+WbW03+eBZwMfBnU8SLt06crPbLSefKTr1u9j1c+X8WclZsBGDMsj5Wl23hm+vJEFTFpRDayZqWnMmaY9ytrcSe4wzP2R8rPn5zRaX/JSXIKsga/J/Cumc0CpuPl4F8L8HgNsjPSuPDowXy0eAObWpkvfvWLVfTtnsn8W0/liYtGMWiPbD5a1Pb+9cnMzOjXMxOAFZu2dXBpgtdYEmrZRqVqJHkENpqkc24WcEhQ+9+VwoJcAOau2swxw/JatY/zjhzY0AXzwH49mLWyNGHlSxax9/h0SUulT/cunaKrZGPtDCtLKzlsUAcURqQVQnEna2P26eM1tC5qQ3fJY4btaPQd3q87yzduo+Dq15kwdw3rt3Sun+rD9+ze8Lx/bnanqME31v19ZSc4bwmP0Ab4vK4ZdO2SRvGG1tc0e3fr0vD8rBH96Jbp/eC59IkZFN7+Nhs6QZCvqPLuCM6L+Cz652axojT8NfioXjR3jKNHVrr6w0tSCW2ANzMG7ZHdpu5teV13BLUBvbKZffM3otYfdvvbrd53ssnLyWh43j83i9WllaHvVRSZofHaH7J4fsYKqmrCfd4SHqEN8AAFeTksWreFulbeap6RtuuPJ+z/2ff1U10/P27vhmX9c7OpqXOs7WQ9SsYd2BeAP7wxv2FZZ2iLkOQV6gA/dp98VpZuY8i1b/DAlMUJ2eflJw6Len3ZMzMTst/d1R5dMzi8ILehTQO8GjzAio2dK7iNHNgTgMc+Km5Ydsxd77a6AiEStFAH+B8UDiA91esGctdbiemCf9XJ+1B85+lcdMxgACbMXcu68sTMIrU7qnMuqi88eDV46BxdJSMdtbfXG6tXRLoK6HQN7pI8Qh3gAU45oG/D84enLmn2MML1XwxNueGM4Q3Px903la83hLN/dJ2L7yrZmfrCR0pNMX4yelDcWDwrSjvX5yDJI/QB/p4fjOCIwb0Ab9CoP7+9cKfb1zes5Uc0sDbl8xtP5vrT92f9lirG/mkKx/3pXf76zkLmrdrc5nLvNlz8hBedqS98rH49s+KWtfZmOpGghT7Ad0lL5aHzDuPCo72UyoPvLebeSV81OVjWFn/kyMhugU3pmZ3BxWOG8O9LvGHuizdUcPfErxh3/1Qe+WBpKP7j1zkXV4OHztMXPlZjAX5rlab0k91T6AM8QG5OBjeeOZwJVx7LgF5Z3Dd5IafdN5WpC+OHJ+7i95wZ04K7X0cN2YOL/Zx8vdtem8cZf/mgbQXfDdQ51+iUdZ2lLzzA6Qfv2fB87/ycuPV/nvRVexZHpNk6RYCvt2/fbrz//47nmtP248s15fz4kU/55t8+ZPQdk5m7qoyqmjo2V3o1+N+cvG+L9n39GcOZdu2JPPyTwoZlK0u38dd3FnLxv4qYuWxT3HvueutLvv/gR207qYA54nPw4AX45Ru3sTzEPWl65WRw5JBe3H/OjhE36ucbAPjfU/YBvCkMNTG37I46VYAH74aVS8fuzec3ngzAF8tLWV1Wyen3f8A+17/ZsF1KSssnWu7TPZOThvdh0q+PbVh298SveHv+Wr7/4MdxNwY9MGUx04s37dZ96esaycEDHLSX12Vw0ry17V2kdlNdU8f+e3YnNeJvIfL5JcfuuDdgxC0T2dqZJ4aR3VKnC/D1emZn8NL/HNXouru+e1Cb9j2sTzeK7zydpy4exbDeXQFvXs+h173J8XdPobyyOqrGN2XBukbbBOrqHGUV1W0qS1u5JnLwpwzvQ3qqsa58O2vKwtlNtLqurmE6yMZE3gi3vaaOaUs3tEexRJqt0wZ4gEMH5vLR1SeQlR49afe3DtkrIfs/emgek64ay9xbvsGpfnfNpeu3csTvJ7PfDW81bHfJEzP404QFTF1Ywkn3vNcwxs0D7y1mxK0TWb9lO9uqapk8f227z6TkmqjBp6QYvbtl8uB7iznyjskUFW9s13K1h+paR1oj3WWn/vZ43rxiTNzylaXh/KKT5BXYcMHJol/PLObfdiqbK6tZsXEb/Xtl0SUtdddvbIGcLmk8+OPDWLGpgjkrN/PK5yt5058dKDc7nU0V1fx9ymL+7t9te9jtb3PQXj2YvdKbNakwYsybMcPyGJKXwy3fjJv9MBBeI2vj6/p078JKvw/4vNWbKSzo1S5lag91dY7aOkdaSnwdaECv7Ibnfz57JFf+25uvVZOByO6mU9fgI3XPTGd4v+50z0wP7Bj9c7M59cC+PHDeYQ13wv7l3EOZGJGzr1cf3GNNXbief338NXe8Ob/R9c98uozrXp6dsDJ7d+E3HuG7Z+34rKYt2ci2EHUXrK7z2kV2NR7R8fv2bniuO1pld6MA30FuOGM4M284mWOG5bFPn268+qujefC8Q/nshpM5I6JbXtcujf/Ieui9JTz+cXFUyqa0ooprXprNU9OWUbatmiUlWyitaFtffLeTGnx6RH769dmrowbhSnY1td7nmraLxvaumTuuz9PTljXcRyGyO7D2zunuTGFhoSsqKuroYnS42jpH2bZqPly0njMO3pPPl5eysnQbI/r35OMlG/jtC7Oits9MT6HONT2y5VMXj+Looa2b1erE/5vCvn278fcfHRa37qNF63ngvcVMXbhjKsO//fDQqH7jyaqsopoRt07kxjOGc2HMPQ6x1m2u5JqXZjP5y3Uct28+9519CN0y01rVE0ukpcxshnOusLF1QU66PcDM3jWzeWY218yuCOpYYZOaYvTKyeDMEf0wMw4ZmMsZB/djQK9sflA4gA9+d3zD8AsAldV1O+1q+aOHp7G4ZAvvfLmWh95r2aiaZdtq6JGV0ei6o4bm8cRFo6KW/fLpmdz86tx2bwxOtCq/S+uuxiQC6N09k3vOHgnAlAUljLh1YsIGtxNpiyAbWWuA3zjnZppZN2CGmU1yzs0L8JidQv/cbJ67dDRbt9eQmmLc8cZ8pi3dSEn5dk47qC8/PGIQj364lOdnrGh4z4n/917D8zmrNjM0vyuXjh3Ck598zcR5a3nsgsPJzoj+c3DOUbatip7ZO2+XeOl/juKypz9raHB97KNiTjmgT8Poi8mopq4+wDevDtQjK/ozeuj9JfzqhKF0C7BNR2RX2i1FY2avAH91zk1qahulaBJrxaYKlm/cxubKai59YsZOt+3XI5NxB+3J1aftR/GGCobk5VBRXcuBN03gmtP249Kxe+/0/eANz/DIB0sbXp88vA9/PnskOU20I+zOlm2o4Ng/vcvd3x/B9w7r36z3zPh6E8s3VvD4x8XMXFbKnd85iHOOGBhsQaXT65AUTUwBCoBDgGmNrLvEzIrMrKikJH5sGGm9/rnZjN57D75xQF9m33wKT108ipk3nMyfvndw3M1Lq8oqefiDpQy97k1Ouuc9np+xnPV+t7/c7MZTNLFuOGM4j15weMPrSfPW8ut/f05tGyfE+GjR+qgvjvZQXdf8FE29wwbl8q1D9uKRn3qfwROffJ30qSpJboEHeDPrCrwIXOmcixtH1zk33jlX6JwrzM/PD7o4nVa3zHSOHppHr5wMvl84gMW/H8ctZx3AyAE9mfybsdx/7iEcMzSvodfO716czXF3TwFgeL/uO9lztOP37c3Vp+3X8HrivLXsfe0bHHPXO7w9by01tXVU19ZRXlnNXW992dC1sqyimnsmfUW1n/v+am15ww1fP3x4Gre9Ni+uG2ZldS0PT11CRVXjPVecc60OsNW1LUvRRMrNyeC2bx7A3FWbOXv8J7vc/tg/vstVz33e4uOI7EqgAd7M0vGC+1POuZeCPJa0TEqK8dOjCvjPL49m7/yunDWiH09ePIo5t3yD274VfRPV/ns2P8AD/Hzs3nx1+2m8fdWO/v0rNm3j4seLGHrdm4y+YzL//KCYB6YsZv8b32L+6s2MuHUi909eyOuzVuOc45R73+ew299uyOuDF/Qj/eP9Jdz++nyG3ziBsorqqGD+8ydmMPiaN/j231s3mFtzu0k25fuFAwD4dOlGbntt581OyzZW8NLMla06jsjOBNmLxoBHgPnOuXuCOo4k3o+PHETxnafz/M9H89ylo6MG2GqujLQUhvbuxvxbT+XooXtErVu/pYp7394xxO5p901teH7ty7MZ9YfJDa+fL1oe8b7oG4nWRkyVOOLWifzn8x1B8q253p3Cny8vZXNly8fzaajBN2Pi9cZkpqc2jCz6yAdLmbOyjBPunhI1+uaideWc9dfkH1Jadl9Btn4dDfwYmG1m9b8/r3XOvRHgMSWBDk/A0ANZGak8dbE3IcrXG7ZSU+f4ZMkGrnt5TqPbV1TVUhGRiomcgeuifxUx++ZTqK1zLFq3hSc/WRb13utenkPf7lk4otMy81Zt5sgh0V8yu1Lt1+DTGxmqoLlOGt6HNy4fw7j7p3LuPz6hvLKGMX98l+I7Twfg1//+osk7lkUSIbAA75z7gKbucZdOadAe3mQZe+d35dQD+rK6rJJfPT2TZRsrqHMwYkBPvlheutN9HP77t6msbrzPf0VVLef+Iz7nPWdlGYcX9GrWL5Hi9Vv57xer+NQfPK2xwcZaYni/7owZlhd1M9j81ZvZf8/ubIsZQ762zrXq15JIU3Qnq+wWvGGJjdKKKkb9YTLba+q4+czhnLBfHwsxqIYAAA8oSURBVE6/fyqnHtg3ql9/725dWFe+nYG9snn/t8fz40emRQXRxrx91ViG+sM316uureOypz9jc2U1V5+2H+c/Oj1qUu0Xf3EUhw3KbdO5TZ6/lov+Ff13fdu3DuTBKYuj2hgAPr7mBPbsET8toEhTdtZNUgFedjsL1pRz6RNFPHfpaHp3z2xYvqaskiXrt3Dk4D1ISTFKyreTkZZCj6x0KqtrWbCmnG/+7cOG7X9Q2J9ZK8r4cs2Oxtn7zhnJyAE9yUhLYc8eWRQVb+R7D37cZFle/dXRHNy/Z5vOxznH4Gu8zOR+fbtFlSfWwF7ZPHXxqKgRK0V2RgFeOo2t22s44KYJACy9Yxxbq2qpqa1j5K3x99ddfuIw+nbP5NqdjL75+uXHcEC/Hm0uV3llNeu3VFFaUcUNr8whxYxZK5rOv/fPzeKQgbl855C9OH6/3k1ulyjryit5cMoSrh23H2mt6BoahO01tRi2yxE9O7sOv9FJpL3kdEnjvCMHct6RAzEzunZJo2d2BhOujB+S+f7JCxsN7l/cdAojBni19u0Jmk6xW2Y6g/NyOGRgLq9dNoazD/e6UY47yJsI5qqT94kaX2jFpm3894tVXPDYdO54Yz4FV7/Od/7+YaP7bqvFJVs44veT+eeHS/lwcfSsVNf/ZzY3/KfxBvGgHXDjBMb+6d0OOXZYJN895CK7cPu34qdc3LdvN6ZfdxLFG7ZyyICeDL1ux/y7t5x1AJ8t28TSDRVcedIwemSlc0RBLl8sL21yuOa2+vYhe1FZXcePRg3kru/W0S0znctPHMZ1L3vDPUd66P0lAMxcVkrB1a83jHBZXVtH2bZq8rp2afQYldW1dElLwRqbczFCZE+lyH7/nyzZ0NBT6dZvHgDAuwvWMXaf3u3SGFxT51hdVkmtP/mKavItpxSNdEqV1bUNMzA1lu+uqa1jzqrNjBzQtvx7az03fTm/fXFWk+svHTuEz5aV8unSjSy9YxyPf/w1m7dVc9mJwwDv/Pa74S1+NmYw150+fKfHOu2+qcxf7d1k3rtbFy4eM5g/vBE9GuacW77BC0XLufm/87jw6MH8cNTAuAbrtthWVUt5ZXVUm0vB1a8DMLR3Vxat29LQvVSiKQcvkoSeK1rOxLlr+PuPDuOPb33Jw02Mx3P96ftz++veZCsv/c9RZKSm8KunZ1K8wbup6rELDuetOWsY1qcbe/XMZMPWKn54xMCGmv2ht02K6jnUmO6ZaWyujB4SYvp1J5Hfbcevh7o6x6fFGxk1uNcufzXUb3/jq3NYu3k7k+atBeCd34xlSL73xVEf4Ov98/xCemSlc+jA3GbtP2jTizeS37ULBXk5HVoOBXiRJFdWUc2rX6zk2enLufM7B3NmG++AHTmgJ0tKtnDXdw/mF0/NbPV+HrvgcMbuk4+Z8cTHxdzwylzG//gwTvEnmQeYuWwTr36+ipvOHB4VmJdvrGDMH6Nz7L8+aR/eWbCOf/z4MI6IuKM51ptXjGnxEBqJVv8F1NG/LNTIKpLkemSn8+PRBbx++RgO6t+DZ352JEcM7kU3v43gD9+Ob3fYGW8Ih5qG4N7cIZFjnf/odP44YQHj31/MDa/MBbxRRBetK2f5xgqcc1zyeBGPfVTMX99ZxH1vL+SrteWsKt1G2bb4ISTuffsrvlhe2tDu0JQ/TVhApX+jWFVNHf/7/BcUr9/aqnNoq5raxDTEB0E1eJEkVlFVQ0ZqCmmpKWzaWkVWRipfb6hgz56ZHHzzxKhtn73kSO6d9BXTlnp36Q7Jz2FJiRcUrzp5H+6ZtGN8oDevGMO3/vYh22vqePC8w7hn0gKqauoa0j6JkJudzqaKnY8T9Ivj9uaBKY3PQvar44dSWJBL2bZqrnjWGw3l4Z8Usnfvriwp2cKJ+/fBOUedg4lz11CQl9NQ69+6vYav1pbz7pfrOHfUwIaby7ZV1ZKaEt81s34cpLyuXSivrObRD4sbPq8T9uvNhUcP5phhHTPBjVI0Ip3Q9OKNLC3ZyqGDevLOl+u45Fhv0pbyyuqGLqSlFVVMW7qRE/frzeuzVzcEyqV3jKNky3Y+XbqRMw7u17DP/36xij7dM/nBQ97NYbFfDIk25X+P47i7p5Bi0NJpBe47ZyS3/ndew01x4LUl7Nu3G9OLN8VtX3939DFD87jn7BHskdOFf36wlPmrN/PSZ7se7fP8owrIzkglIy2FK0/aJ2rdnJVlFOTlkJWeyuZt1eTmZDBrRSl/eWcRt5x1AP16tv7uZQV4EWmWdZsrye/WZZeNmLNXlPHvomXcetaBzFi2icuf+YzVZZUc0K87S0q2Noyz01jjLHh3GT9XtGPoiV8evzc/GjWIo+58p2HZJccO4dpx+/PCjBWMHNCTk+55L24/yeqmM4czbclG3pq7hlOG9+HmNgR5BXgRCVRtnaOiqqZhDtqFa8tJS00hLcV4fsYKNmzZzhkH9+OrteXc9OpcvrztVErKt/POl+v4yehBUV8oa8oq6Z6VFjdHcMHVr7NHTgZPXDSKnz1exF49s9haVUNmeip9e2RyyvA+9OuZxeEFvZi2ZAP/89RMNkT0DtqrZxaZ6SksLumYXP3O5GanM/OGk1vVO0gBXkSSXuTYQ82xraqW/W98i+P2zef33z6Ivfwa8qJ1Wxicl8Nlz8zkjdnevAEf/O54+ud690PMWVnGgjXlHF7Qi7mryhg/dQljhuaxubKGq0/bj8z0VLZV1XL9f+bw4swVDOiVxTWn7c8zny7jsQuO4I8TvuSh93beSBzrV8cP5cqThrVqmAgFeBHplLZsryE7PZWUJu68Xbe5kvTUFHJzmjfvcKyi4o0M2iMn6n4A8Iad/mptOUPyu/LMp8sa5hT+5sh+DM3vSrfMNLpmplNaUcXtr89n8R/GtfruYAV4EZEONL14IwvWlHPekYMSvu+dBXiNRSMiErDDC3olZIa0ltKNTiIiIRXkpNv/NLN1ZtYxY42KiHRyQdbgHwNODXD/IiKyE4EFeOfc+8DGoPYvIiI71+E5eDO7xMyKzKyopKSko4sjIhIaHR7gnXPjnXOFzrnC/Pz8ji6OiEhodHiAFxGRYCjAi4iEVGB3sprZM8BxQB6wFrjJOffILt5TAnzdykPmAetb+d5kpXPuHHTO4deW8x3knGs0v71bDVXQFmZW1NTtumGlc+4cdM7hF9T5KkUjIhJSCvAiIiEVpgA/vqML0AF0zp2Dzjn8Ajnf0OTgRUQkWphq8CIiEkEBXkQkpJI+wJvZqWa2wMwWmdnVHV2eRDGzAWb2rpnNM7O5ZnaFv7yXmU0ys4X+v7n+cjOz+/3PYZaZHdqxZ9B6ZpZqZp+Z2Wv+68FmNs0/t3+bWYa/vIv/epG/vqAjy91aZtbTzF4wsy/NbL6ZjQ77dTazX/t/13PM7BkzywzbdW5syPTWXFcz+6m//UIz+2lLypDUAd7MUoG/AacBw4FzzWx4x5YqYWqA3zjnhgNHAr/0z+1qYLJzbhgw2X8N3mcwzH9cAjzQ/kVOmCuA+RGv7wLudc4NBTYBF/nLLwI2+cvv9bdLRvcBbznn9gNG4J17aK+zme0FXA4UOucOBFKBcwjfdX6M+CHTW3RdzawXcBMwCjgCuKn+S6FZnHNJ+wBGAxMiXl8DXNPR5QroXF8BTgYWAHv6y/YEFvjPHwLOjdi+YbtkegD9/T/8E4DXAMO7wy8t9poDE4DR/vM0fzvr6HNo4fn2AJbGljvM1xnYC1gO9PKv22vAN8J4nYECYE5rrytwLvBQxPKo7Xb1SOoaPDv+UOqt8JeFiv+T9BBgGtDHObfaX7UG6OM/D8tn8Wfgt0Cd/3oPoNQ5V+O/jjyvhnP215f52yeTwUAJ8KiflnrYzHII8XV2zq0E7gaWAavxrtsMwn2d67X0urbpeid7gA89M+sKvAhc6ZzbHLnOeV/poennamZnAOucczM6uiztKA04FHjAOXcIsJUdP9uBUF7nXOCbeF9u/YAcOuHsb+1xXZM9wK8EBkS87u8vCwUzS8cL7k85517yF681sz399XsC6/zlYfgsjgbOMrNi4Fm8NM19QE8zS/O3iTyvhnP21/cANrRngRNgBbDCOTfNf/0CXsAP83U+CVjqnCtxzlUDL+Fd+zBf53otva5tut7JHuCnA8P81vcMvIaaVzu4TAlhZgY8Asx3zt0TsepVoL4l/ad4ufn65T/xW+OPBMoifgomBefcNc65/s65Arxr+Y5z7kfAu8D3/M1iz7n+s/iev31S1XSdc2uA5Wa2r7/oRGAeIb7OeKmZI80s2/87rz/n0F7nCC29rhOAU8ws1//lc4q/rHk6uhEiAY0Y44CvgMXAdR1dngSe1zF4P99mAZ/7j3F4ucfJwELgbaCXv73h9ShaDMzG66HQ4efRhvM/DnjNfz4E+BRYBDwPdPGXZ/qvF/nrh3R0uVt5riOBIv9a/wfIDft1Bm4BvgTmAE8AXcJ2nYFn8NoYqvF+qV3UmusKXOif+yLggpaUQUMViIiEVLKnaEREpAkK8CIiIaUALyISUgrwIiIhpQAvIhJSCvASemZWa2afRzwSNuqomRVEjhYosjtJ2/UmIklvm3NuZEcXQqS9qQYvnZaZFZvZH81stpl9amZD/eUFZvaOPy73ZDMb6C/vY2Yvm9kX/uMof1epZvYPf3zziWaW5W9/uXnj+c8ys2c76DSlE1OAl84gKyZFc3bEujLn3EHAX/FGsgT4C/Av59zBwFPA/f7y+4H3nHMj8MaLmesvHwb8zTl3AFAKfNdffjVwiL+fnwd1ciJN0Z2sEnpmtsU517WR5cXACc65Jf7Abmucc3uY2Xq8Mbur/eWrnXN5ZlYC9HfObY/YRwEwyXkTOGBmvwPSnXO3m9lbwBa84Qf+45zbEvCpikRRDV46O9fE85bYHvG8lh1tW6fjjS9yKDA9YqREkXahAC+d3dkR/37sP/8IbzRLgB8BU/3nk4FfQMO8sT2a2qmZpQADnHPvAr/DG+I27leESJBUo5DOIMvMPo94/ZZzrr6rZK6ZzcKrhZ/rL7sMb4al/4c329IF/vIrgPFmdhFeTf0XeKMFNiYVeNL/EjDgfudcacLOSKQZlIOXTsvPwRc659Z3dFlEgqAUjYhISKkGLyISUqrBi4iElAK8iEhIKcCLiISUAryISEgpwIuIhNT/B5mIQK59RHeWAAAAAElFTkSuQmCC\n", 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\n", 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\n", 430 | "text/plain": [ 431 | "
" 432 | ] 433 | }, 434 | "metadata": { 435 | "needs_background": "light" 436 | }, 437 | "output_type": "display_data" 438 | } 439 | ], 440 | "source": [ 441 | "model = stacked_NVP(d, k, hidden=512, n=5)\n", 442 | "optim = torch.optim.Adam(model.parameters(), lr=1e-3)\n", 443 | "scheduler = torch.optim.lr_scheduler.ExponentialLR(optim, 0.999)\n", 444 | "\n", 445 | "n_samples = 512\n", 446 | "\n", 447 | "# training loop\n", 448 | "losses = train(model, 1000, n_samples, optim, scheduler)\n", 449 | "view(model, losses)" 450 | ] 451 | }, 452 | { 453 | "cell_type": "code", 454 | "execution_count": null, 455 | "metadata": {}, 456 | "outputs": [], 457 | "source": [] 458 | } 459 | ], 460 | "metadata": { 461 | "kernelspec": { 462 | "display_name": "Python 3", 463 | "language": "python", 464 | "name": "python3" 465 | }, 466 | "language_info": { 467 | "codemirror_mode": { 468 | "name": "ipython", 469 | "version": 3 470 | }, 471 | "file_extension": ".py", 472 | "mimetype": "text/x-python", 473 | "name": "python", 474 | "nbconvert_exporter": "python", 475 | "pygments_lexer": "ipython3", 476 | "version": "3.6.7" 477 | } 478 | }, 479 | "nbformat": 4, 480 | "nbformat_minor": 2 481 | } 482 | --------------------------------------------------------------------------------