{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Deep Learning Models -- A collection of various deep learning architectures, models, and tips for TensorFlow and PyTorch in Jupyter Notebooks.\n", "- Author: Sebastian Raschka\n", "- GitHub Repository: https://github.com/rasbt/deeplearning-models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", "\n", "CPython 3.7.1\n", "IPython 7.2.0\n", "\n", "torch 1.0.0\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -a 'Sebastian Raschka' -v -p torch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Runs on CPU or GPU (if available)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model Zoo -- Conditional Variational Autoencoder \n", "\n", "## (without labels in reconstruction loss)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple conditional variational autoencoder that compresses 768-pixel MNIST images down to a 35-pixel latent vector representation.\n", "\n", "\n", "This implementation DOES NOT concatenate the inputs with the class labels when computing the reconstruction loss in contrast to how it is commonly done in non-convolutional conditional variational autoencoders. Not considering class-labels in the reconstruction loss leads to slightly worse results compared to the implementation that does concatenate the labels with the inputs to compute the reconstruction loss. For reference, see the implementation [./autoencoder-cvae.ipynb](./autoencoder-cvae.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import torch\n", "import torch.nn.functional as F\n", "from torch.utils.data import DataLoader\n", "from torchvision import datasets\n", "from torchvision import transforms\n", "\n", "\n", "if torch.cuda.is_available():\n", " torch.backends.cudnn.deterministic = True" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Device: cuda:1\n", "Image batch dimensions: torch.Size([128, 1, 28, 28])\n", "Image label dimensions: torch.Size([128])\n" ] } ], "source": [ "##########################\n", "### SETTINGS\n", "##########################\n", "\n", "# Device\n", "device = torch.device(\"cuda:1\" if torch.cuda.is_available() else \"cpu\")\n", "print('Device:', device)\n", "\n", "# Hyperparameters\n", "random_seed = 0\n", "learning_rate = 0.001\n", "num_epochs = 50\n", "batch_size = 128\n", "\n", "# Architecture\n", "num_classes = 10\n", "num_features = 784\n", "num_hidden_1 = 500\n", "num_latent = 35\n", "\n", "\n", "##########################\n", "### MNIST DATASET\n", "##########################\n", "\n", "# Note transforms.ToTensor() scales input images\n", "# to 0-1 range\n", "train_dataset = datasets.MNIST(root='data', \n", " train=True, \n", " transform=transforms.ToTensor(),\n", " download=True)\n", "\n", "test_dataset = datasets.MNIST(root='data', \n", " train=False, \n", " transform=transforms.ToTensor())\n", "\n", "\n", "train_loader = DataLoader(dataset=train_dataset, \n", " batch_size=batch_size, \n", " shuffle=True)\n", "\n", "test_loader = DataLoader(dataset=test_dataset, \n", " batch_size=batch_size, \n", " shuffle=False)\n", "\n", "# Checking the dataset\n", "for images, labels in train_loader: \n", " print('Image batch dimensions:', images.shape)\n", " print('Image label dimensions:', labels.shape)\n", " break" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "##########################\n", "### MODEL\n", "##########################\n", "\n", "\n", "def to_onehot(labels, num_classes, device):\n", "\n", " labels_onehot = torch.zeros(labels.size()[0], num_classes).to(device)\n", " labels_onehot.scatter_(1, labels.view(-1, 1), 1)\n", "\n", " return labels_onehot\n", "\n", "\n", "class ConditionalVariationalAutoencoder(torch.nn.Module):\n", "\n", " def __init__(self, num_features, num_hidden_1, num_latent, num_classes):\n", " super(ConditionalVariationalAutoencoder, self).__init__()\n", " \n", " self.num_classes = num_classes\n", " \n", " ### ENCODER\n", " self.hidden_1 = torch.nn.Linear(num_features+num_classes, num_hidden_1)\n", " self.z_mean = torch.nn.Linear(num_hidden_1, num_latent)\n", " # in the original paper (Kingma & Welling 2015, we use\n", " # have a z_mean and z_var, but the problem is that\n", " # the z_var can be negative, which would cause issues\n", " # in the log later. Hence we assume that latent vector\n", " # has a z_mean and z_log_var component, and when we need\n", " # the regular variance or std_dev, we simply use \n", " # an exponential function\n", " self.z_log_var = torch.nn.Linear(num_hidden_1, num_latent)\n", " \n", " \n", " ### DECODER\n", " self.linear_3 = torch.nn.Linear(num_latent+num_classes, num_hidden_1)\n", " # don't output labels in resulting image as it yields worse results\n", " #self.linear_4 = torch.nn.Linear(num_hidden_1, num_features+num_classes)\n", " self.linear_4 = torch.nn.Linear(num_hidden_1, num_features)\n", "\n", " def reparameterize(self, z_mu, z_log_var):\n", " # Sample epsilon from standard normal distribution\n", " eps = torch.randn(z_mu.size(0), z_mu.size(1)).to(device)\n", " # note that log(x^2) = 2*log(x); hence divide by 2 to get std_dev\n", " # i.e., std_dev = exp(log(std_dev^2)/2) = exp(log(var)/2)\n", " z = z_mu + eps * torch.exp(z_log_var/2.) \n", " return z\n", " \n", " def encoder(self, features, targets):\n", " ### Add condition\n", " onehot_targets = to_onehot(targets, self.num_classes, device)\n", " x = torch.cat((features, onehot_targets), dim=1)\n", "\n", " ### ENCODER\n", " x = self.hidden_1(x)\n", " x = F.leaky_relu(x)\n", " z_mean = self.z_mean(x)\n", " z_log_var = self.z_log_var(x)\n", " encoded = self.reparameterize(z_mean, z_log_var)\n", " return z_mean, z_log_var, encoded\n", " \n", " def decoder(self, encoded, targets):\n", " ### Add condition\n", " onehot_targets = to_onehot(targets, self.num_classes, device)\n", " encoded = torch.cat((encoded, onehot_targets), dim=1) \n", " \n", " ### DECODER\n", " x = self.linear_3(encoded)\n", " x = F.leaky_relu(x)\n", " x = self.linear_4(x)\n", " decoded = torch.sigmoid(x)\n", " return decoded\n", "\n", " def forward(self, features, targets):\n", " \n", " z_mean, z_log_var, encoded = self.encoder(features, targets)\n", " decoded = self.decoder(encoded, targets)\n", " \n", " return z_mean, z_log_var, encoded, decoded\n", "\n", " \n", "torch.manual_seed(random_seed)\n", "model = ConditionalVariationalAutoencoder(num_features,\n", " num_hidden_1,\n", " num_latent,\n", " num_classes)\n", "model = model.to(device)\n", " \n", "\n", "##########################\n", "### COST AND OPTIMIZER\n", "##########################\n", "\n", "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch: 001/050 | Batch 000/469 | Cost: 70192.2188\n", "Epoch: 001/050 | Batch 050/469 | Cost: 25749.1211\n", "Epoch: 001/050 | Batch 100/469 | Cost: 21997.0703\n", "Epoch: 001/050 | Batch 150/469 | Cost: 19867.7832\n", "Epoch: 001/050 | Batch 200/469 | Cost: 19859.0391\n", "Epoch: 001/050 | Batch 250/469 | Cost: 18637.0820\n", "Epoch: 001/050 | Batch 300/469 | Cost: 17863.7227\n", "Epoch: 001/050 | Batch 350/469 | Cost: 16946.2188\n", "Epoch: 001/050 | Batch 400/469 | Cost: 16602.0566\n", "Epoch: 001/050 | Batch 450/469 | Cost: 16563.0742\n", "Epoch: 002/050 | Batch 000/469 | Cost: 15998.6934\n", "Epoch: 002/050 | Batch 050/469 | Cost: 15980.9590\n", "Epoch: 002/050 | Batch 100/469 | Cost: 15842.0508\n", "Epoch: 002/050 | Batch 150/469 | Cost: 15789.3096\n", "Epoch: 002/050 | Batch 200/469 | Cost: 15471.0068\n", "Epoch: 002/050 | Batch 250/469 | Cost: 15047.9609\n", "Epoch: 002/050 | Batch 300/469 | Cost: 14812.4609\n", "Epoch: 002/050 | Batch 350/469 | Cost: 15064.4570\n", "Epoch: 002/050 | Batch 400/469 | Cost: 14684.2832\n", "Epoch: 002/050 | Batch 450/469 | Cost: 14621.3662\n", "Epoch: 003/050 | Batch 000/469 | Cost: 14662.3740\n", "Epoch: 003/050 | Batch 050/469 | Cost: 14373.9258\n", "Epoch: 003/050 | Batch 100/469 | Cost: 14580.2539\n", "Epoch: 003/050 | Batch 150/469 | Cost: 14757.9639\n", "Epoch: 003/050 | Batch 200/469 | Cost: 14678.1953\n", "Epoch: 003/050 | Batch 250/469 | Cost: 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12173.3027\n", "Epoch: 021/050 | Batch 300/469 | Cost: 11880.8125\n", "Epoch: 021/050 | Batch 350/469 | Cost: 12684.7500\n", "Epoch: 021/050 | Batch 400/469 | Cost: 12973.6250\n", "Epoch: 021/050 | Batch 450/469 | Cost: 12326.9854\n", "Epoch: 022/050 | Batch 000/469 | Cost: 12506.0596\n", "Epoch: 022/050 | Batch 050/469 | Cost: 12992.8047\n", "Epoch: 022/050 | Batch 100/469 | Cost: 12908.5557\n", "Epoch: 022/050 | Batch 150/469 | Cost: 12658.6768\n", "Epoch: 022/050 | Batch 200/469 | Cost: 13097.6426\n", "Epoch: 022/050 | Batch 250/469 | Cost: 12514.5166\n", "Epoch: 022/050 | Batch 300/469 | Cost: 13067.9795\n", "Epoch: 022/050 | Batch 350/469 | Cost: 13335.4814\n", "Epoch: 022/050 | Batch 400/469 | Cost: 12482.6094\n", "Epoch: 022/050 | Batch 450/469 | Cost: 12887.1328\n", "Epoch: 023/050 | Batch 000/469 | Cost: 12895.0732\n", "Epoch: 023/050 | Batch 050/469 | Cost: 12596.9219\n", "Epoch: 023/050 | Batch 100/469 | Cost: 12961.1699\n", "Epoch: 023/050 | Batch 150/469 | Cost: 12497.6240\n", "Epoch: 023/050 | Batch 200/469 | Cost: 12390.3174\n", "Epoch: 023/050 | Batch 250/469 | Cost: 12916.2070\n", "Epoch: 023/050 | Batch 300/469 | Cost: 12608.6494\n", "Epoch: 023/050 | Batch 350/469 | Cost: 12270.3037\n", "Epoch: 023/050 | Batch 400/469 | Cost: 12774.8906\n", "Epoch: 023/050 | Batch 450/469 | Cost: 12438.0068\n", "Epoch: 024/050 | Batch 000/469 | Cost: 12060.3467\n", "Epoch: 024/050 | Batch 050/469 | Cost: 12482.3770\n", "Epoch: 024/050 | Batch 100/469 | Cost: 12389.7715\n", "Epoch: 024/050 | Batch 150/469 | Cost: 13020.0859\n", "Epoch: 024/050 | Batch 200/469 | Cost: 12233.1670\n", "Epoch: 024/050 | Batch 250/469 | Cost: 12507.4473\n", "Epoch: 024/050 | Batch 300/469 | Cost: 12403.1035\n", "Epoch: 024/050 | Batch 350/469 | Cost: 12475.9551\n", "Epoch: 024/050 | Batch 400/469 | Cost: 12369.6104\n", "Epoch: 024/050 | Batch 450/469 | Cost: 12104.8066\n", "Epoch: 025/050 | Batch 000/469 | Cost: 12380.4355\n", "Epoch: 025/050 | Batch 050/469 | Cost: 12826.3662\n", "Epoch: 025/050 | Batch 100/469 | Cost: 12431.5898\n", "Epoch: 025/050 | Batch 150/469 | Cost: 12982.6113\n", "Epoch: 025/050 | Batch 200/469 | Cost: 12823.1465\n", "Epoch: 025/050 | Batch 250/469 | Cost: 12800.5156\n", "Epoch: 025/050 | Batch 300/469 | Cost: 13140.7812\n", "Epoch: 025/050 | Batch 350/469 | Cost: 12483.5723\n", "Epoch: 025/050 | Batch 400/469 | Cost: 12694.3594\n", "Epoch: 025/050 | Batch 450/469 | Cost: 12767.1543\n", "Epoch: 026/050 | Batch 000/469 | Cost: 11855.4678\n", "Epoch: 026/050 | Batch 050/469 | Cost: 12363.9590\n", "Epoch: 026/050 | Batch 100/469 | Cost: 13079.2793\n", "Epoch: 026/050 | Batch 150/469 | Cost: 12977.3594\n", "Epoch: 026/050 | Batch 200/469 | Cost: 12642.0938\n", "Epoch: 026/050 | Batch 250/469 | Cost: 12530.8447\n", "Epoch: 026/050 | Batch 300/469 | Cost: 12514.3311\n", "Epoch: 026/050 | Batch 350/469 | Cost: 12100.2314\n", "Epoch: 026/050 | Batch 400/469 | Cost: 12814.0479\n", "Epoch: 026/050 | Batch 450/469 | Cost: 12364.0166\n", "Epoch: 027/050 | Batch 000/469 | Cost: 12499.8721\n", "Epoch: 027/050 | Batch 050/469 | Cost: 12678.9111\n", "Epoch: 027/050 | Batch 100/469 | Cost: 12261.5918\n", "Epoch: 027/050 | Batch 150/469 | Cost: 12901.1641\n", "Epoch: 027/050 | Batch 200/469 | Cost: 12548.0469\n", "Epoch: 027/050 | Batch 250/469 | Cost: 12211.9111\n", "Epoch: 027/050 | Batch 300/469 | Cost: 13003.7646\n", "Epoch: 027/050 | Batch 350/469 | Cost: 12214.5781\n", "Epoch: 027/050 | Batch 400/469 | Cost: 12604.0361\n", "Epoch: 027/050 | Batch 450/469 | Cost: 12504.3213\n", "Epoch: 028/050 | Batch 000/469 | Cost: 12680.8613\n", "Epoch: 028/050 | Batch 050/469 | Cost: 13018.3525\n", "Epoch: 028/050 | Batch 100/469 | Cost: 13040.8760\n", "Epoch: 028/050 | Batch 150/469 | Cost: 12745.8643\n", "Epoch: 028/050 | Batch 200/469 | Cost: 12417.4248\n", "Epoch: 028/050 | Batch 250/469 | Cost: 12684.0645\n", "Epoch: 028/050 | Batch 300/469 | Cost: 12119.3633\n", "Epoch: 028/050 | Batch 350/469 | Cost: 12281.8008\n", "Epoch: 028/050 | Batch 400/469 | Cost: 12434.8438\n", "Epoch: 028/050 | Batch 450/469 | Cost: 12379.5928\n", "Epoch: 029/050 | Batch 000/469 | Cost: 12527.9355\n", "Epoch: 029/050 | Batch 050/469 | Cost: 12694.2578\n", "Epoch: 029/050 | Batch 100/469 | Cost: 12318.5742\n", "Epoch: 029/050 | Batch 150/469 | Cost: 12357.7070\n", "Epoch: 029/050 | Batch 200/469 | Cost: 12823.2246\n", "Epoch: 029/050 | Batch 250/469 | Cost: 12532.8555\n", "Epoch: 029/050 | Batch 300/469 | Cost: 12343.1777\n", "Epoch: 029/050 | Batch 350/469 | Cost: 12207.8662\n", "Epoch: 029/050 | Batch 400/469 | Cost: 12553.4434\n", "Epoch: 029/050 | Batch 450/469 | Cost: 12426.8096\n", "Epoch: 030/050 | Batch 000/469 | Cost: 12391.7988\n", "Epoch: 030/050 | Batch 050/469 | Cost: 12414.6650\n", "Epoch: 030/050 | Batch 100/469 | Cost: 12213.8281\n", "Epoch: 030/050 | Batch 150/469 | Cost: 12527.5752\n", "Epoch: 030/050 | Batch 200/469 | Cost: 12135.3281\n", "Epoch: 030/050 | Batch 250/469 | Cost: 12099.4062\n", "Epoch: 030/050 | Batch 300/469 | Cost: 12891.4102\n", "Epoch: 030/050 | Batch 350/469 | Cost: 12546.6768\n", "Epoch: 030/050 | Batch 400/469 | Cost: 12653.6172\n", "Epoch: 030/050 | Batch 450/469 | Cost: 12576.2285\n", "Epoch: 031/050 | Batch 000/469 | Cost: 12499.4316\n", "Epoch: 031/050 | Batch 050/469 | Cost: 12517.8770\n", "Epoch: 031/050 | Batch 100/469 | Cost: 12340.2480\n", "Epoch: 031/050 | Batch 150/469 | Cost: 12368.0469\n", "Epoch: 031/050 | Batch 200/469 | Cost: 12331.4121\n", "Epoch: 031/050 | Batch 250/469 | Cost: 12736.1953\n", "Epoch: 031/050 | Batch 300/469 | Cost: 12985.6914\n", "Epoch: 031/050 | Batch 350/469 | Cost: 12383.8086\n", "Epoch: 031/050 | Batch 400/469 | Cost: 12270.4277\n", "Epoch: 031/050 | Batch 450/469 | Cost: 12418.8633\n", "Epoch: 032/050 | Batch 000/469 | Cost: 12244.7559\n", "Epoch: 032/050 | Batch 050/469 | Cost: 12531.9453\n", "Epoch: 032/050 | Batch 100/469 | Cost: 12477.5752\n", "Epoch: 032/050 | Batch 150/469 | Cost: 12838.6650\n", "Epoch: 032/050 | Batch 200/469 | Cost: 12590.4707\n", "Epoch: 032/050 | Batch 250/469 | Cost: 12658.5674\n", "Epoch: 032/050 | Batch 300/469 | Cost: 12619.9316\n", "Epoch: 032/050 | Batch 350/469 | Cost: 12790.5488\n", "Epoch: 032/050 | Batch 400/469 | Cost: 12336.5918\n", "Epoch: 032/050 | Batch 450/469 | Cost: 11956.5361\n", "Epoch: 033/050 | Batch 000/469 | Cost: 12257.5645\n", "Epoch: 033/050 | Batch 050/469 | Cost: 12238.9277\n", "Epoch: 033/050 | Batch 100/469 | Cost: 12166.1533\n", "Epoch: 033/050 | Batch 150/469 | Cost: 12442.1953\n", "Epoch: 033/050 | Batch 200/469 | Cost: 12383.0957\n", "Epoch: 033/050 | Batch 250/469 | Cost: 12242.8730\n", "Epoch: 033/050 | Batch 300/469 | Cost: 12493.3262\n", "Epoch: 033/050 | Batch 350/469 | Cost: 12194.9941\n", "Epoch: 033/050 | Batch 400/469 | Cost: 12441.2207\n", "Epoch: 033/050 | Batch 450/469 | Cost: 12835.3838\n", "Epoch: 034/050 | Batch 000/469 | Cost: 12413.8838\n", "Epoch: 034/050 | Batch 050/469 | Cost: 12801.7031\n", "Epoch: 034/050 | Batch 100/469 | Cost: 12464.5234\n", "Epoch: 034/050 | Batch 150/469 | Cost: 12432.2822\n", "Epoch: 034/050 | Batch 200/469 | Cost: 12561.4375\n", "Epoch: 034/050 | Batch 250/469 | Cost: 12854.5889\n", "Epoch: 034/050 | Batch 300/469 | Cost: 12125.7393\n", "Epoch: 034/050 | Batch 350/469 | Cost: 12752.3701\n", "Epoch: 034/050 | Batch 400/469 | Cost: 12496.3652\n", "Epoch: 034/050 | Batch 450/469 | Cost: 12751.6465\n", "Epoch: 035/050 | Batch 000/469 | Cost: 12277.0820\n", "Epoch: 035/050 | Batch 050/469 | Cost: 12367.7256\n", "Epoch: 035/050 | Batch 100/469 | Cost: 12402.5156\n", "Epoch: 035/050 | Batch 150/469 | Cost: 12334.3750\n", "Epoch: 035/050 | Batch 200/469 | Cost: 12532.5967\n", "Epoch: 035/050 | Batch 250/469 | Cost: 12294.9727\n", "Epoch: 035/050 | Batch 300/469 | Cost: 12221.8359\n", "Epoch: 035/050 | Batch 350/469 | Cost: 12979.2939\n", "Epoch: 035/050 | Batch 400/469 | Cost: 12789.4639\n", "Epoch: 035/050 | Batch 450/469 | Cost: 12396.4160\n", "Epoch: 036/050 | Batch 000/469 | Cost: 12536.0049\n", "Epoch: 036/050 | Batch 050/469 | Cost: 12159.3613\n", "Epoch: 036/050 | Batch 100/469 | Cost: 12361.6260\n", "Epoch: 036/050 | Batch 150/469 | Cost: 12638.1709\n", "Epoch: 036/050 | Batch 200/469 | Cost: 12634.9355\n", "Epoch: 036/050 | Batch 250/469 | Cost: 12643.7432\n", "Epoch: 036/050 | Batch 300/469 | Cost: 12563.5137\n", "Epoch: 036/050 | Batch 350/469 | Cost: 12375.0566\n", "Epoch: 036/050 | Batch 400/469 | Cost: 12551.1367\n", "Epoch: 036/050 | Batch 450/469 | Cost: 12317.5762\n", "Epoch: 037/050 | Batch 000/469 | Cost: 12063.4453\n", "Epoch: 037/050 | Batch 050/469 | Cost: 11987.3984\n", "Epoch: 037/050 | Batch 100/469 | Cost: 12577.7441\n", "Epoch: 037/050 | Batch 150/469 | Cost: 12403.6309\n", "Epoch: 037/050 | Batch 200/469 | Cost: 12922.1729\n", "Epoch: 037/050 | Batch 250/469 | Cost: 12302.4805\n", "Epoch: 037/050 | Batch 300/469 | Cost: 12353.8057\n", "Epoch: 037/050 | Batch 350/469 | Cost: 12627.0859\n", "Epoch: 037/050 | Batch 400/469 | Cost: 12517.3809\n", "Epoch: 037/050 | Batch 450/469 | Cost: 11899.2090\n", "Epoch: 038/050 | Batch 000/469 | Cost: 11766.3467\n", "Epoch: 038/050 | Batch 050/469 | Cost: 12509.6875\n", "Epoch: 038/050 | Batch 100/469 | Cost: 12706.8721\n", "Epoch: 038/050 | Batch 150/469 | Cost: 12288.3730\n", "Epoch: 038/050 | Batch 200/469 | Cost: 12531.9883\n", "Epoch: 038/050 | Batch 250/469 | Cost: 12904.4297\n", "Epoch: 038/050 | Batch 300/469 | Cost: 12279.0957\n", "Epoch: 038/050 | Batch 350/469 | Cost: 13053.5732\n", "Epoch: 038/050 | Batch 400/469 | Cost: 12317.9678\n", "Epoch: 038/050 | Batch 450/469 | Cost: 12069.1924\n", "Epoch: 039/050 | Batch 000/469 | Cost: 12420.7734\n", "Epoch: 039/050 | Batch 050/469 | Cost: 12101.2764\n", "Epoch: 039/050 | Batch 100/469 | Cost: 12663.4492\n", "Epoch: 039/050 | Batch 150/469 | Cost: 12434.3320\n", "Epoch: 039/050 | Batch 200/469 | Cost: 12394.2676\n", "Epoch: 039/050 | Batch 250/469 | Cost: 12588.5234\n", "Epoch: 039/050 | Batch 300/469 | Cost: 12016.5742\n", "Epoch: 039/050 | Batch 350/469 | Cost: 11895.7480\n", "Epoch: 039/050 | Batch 400/469 | Cost: 12270.1885\n", "Epoch: 039/050 | Batch 450/469 | Cost: 12623.2764\n", "Epoch: 040/050 | Batch 000/469 | Cost: 12347.0195\n", "Epoch: 040/050 | Batch 050/469 | Cost: 12172.0439\n", "Epoch: 040/050 | Batch 100/469 | Cost: 12112.8770\n", "Epoch: 040/050 | Batch 150/469 | Cost: 12661.4824\n", "Epoch: 040/050 | Batch 200/469 | Cost: 12516.9434\n", "Epoch: 040/050 | Batch 250/469 | Cost: 11665.0059\n", "Epoch: 040/050 | Batch 300/469 | Cost: 12424.7168\n", "Epoch: 040/050 | Batch 350/469 | Cost: 12546.3516\n", "Epoch: 040/050 | Batch 400/469 | Cost: 12085.0430\n", "Epoch: 040/050 | Batch 450/469 | Cost: 12052.1777\n", "Epoch: 041/050 | Batch 000/469 | Cost: 12553.8594\n", "Epoch: 041/050 | Batch 050/469 | Cost: 12719.8916\n", "Epoch: 041/050 | Batch 100/469 | Cost: 12318.2598\n", "Epoch: 041/050 | Batch 150/469 | Cost: 12868.4424\n", "Epoch: 041/050 | Batch 200/469 | Cost: 12110.4648\n", "Epoch: 041/050 | Batch 250/469 | Cost: 12877.4014\n", "Epoch: 041/050 | Batch 300/469 | Cost: 12044.2422\n", "Epoch: 041/050 | Batch 350/469 | Cost: 12094.7090\n", "Epoch: 041/050 | Batch 400/469 | Cost: 12124.3301\n", "Epoch: 041/050 | Batch 450/469 | Cost: 12671.7217\n", "Epoch: 042/050 | Batch 000/469 | Cost: 12054.0957\n", "Epoch: 042/050 | Batch 050/469 | Cost: 12345.2227\n", "Epoch: 042/050 | Batch 100/469 | Cost: 12810.0957\n", "Epoch: 042/050 | Batch 150/469 | Cost: 11998.7207\n", "Epoch: 042/050 | Batch 200/469 | Cost: 12693.5879\n", "Epoch: 042/050 | Batch 250/469 | Cost: 11996.5615\n", "Epoch: 042/050 | Batch 300/469 | Cost: 12084.2832\n", "Epoch: 042/050 | Batch 350/469 | Cost: 12159.6025\n", "Epoch: 042/050 | Batch 400/469 | Cost: 12514.6943\n", "Epoch: 042/050 | Batch 450/469 | Cost: 12273.8809\n", "Epoch: 043/050 | Batch 000/469 | Cost: 12472.9395\n", "Epoch: 043/050 | Batch 050/469 | Cost: 12462.2734\n", "Epoch: 043/050 | Batch 100/469 | Cost: 12303.0898\n", "Epoch: 043/050 | Batch 150/469 | Cost: 12641.2676\n", "Epoch: 043/050 | Batch 200/469 | Cost: 11870.0820\n", "Epoch: 043/050 | Batch 250/469 | Cost: 12087.6504\n", "Epoch: 043/050 | Batch 300/469 | Cost: 12615.6992\n", "Epoch: 043/050 | Batch 350/469 | Cost: 12327.5391\n", "Epoch: 043/050 | Batch 400/469 | Cost: 12761.4795\n", "Epoch: 043/050 | Batch 450/469 | Cost: 12429.0576\n", "Epoch: 044/050 | Batch 000/469 | Cost: 12172.6055\n", "Epoch: 044/050 | Batch 050/469 | Cost: 12338.0742\n", "Epoch: 044/050 | Batch 100/469 | Cost: 12473.4297\n", "Epoch: 044/050 | Batch 150/469 | Cost: 12260.2695\n", "Epoch: 044/050 | Batch 200/469 | Cost: 12475.7871\n", "Epoch: 044/050 | Batch 250/469 | Cost: 12570.5645\n", "Epoch: 044/050 | Batch 300/469 | Cost: 12297.6982\n", "Epoch: 044/050 | Batch 350/469 | Cost: 12525.9111\n", "Epoch: 044/050 | Batch 400/469 | Cost: 12596.0791\n", "Epoch: 044/050 | Batch 450/469 | Cost: 11957.3623\n", "Epoch: 045/050 | Batch 000/469 | Cost: 12849.4238\n", "Epoch: 045/050 | Batch 050/469 | Cost: 12080.3203\n", "Epoch: 045/050 | Batch 100/469 | Cost: 12260.8994\n", "Epoch: 045/050 | Batch 150/469 | Cost: 12638.3770\n", "Epoch: 045/050 | Batch 200/469 | Cost: 12635.9248\n", "Epoch: 045/050 | Batch 250/469 | Cost: 12265.3184\n", "Epoch: 045/050 | Batch 300/469 | Cost: 12359.3242\n", "Epoch: 045/050 | Batch 350/469 | Cost: 12409.3135\n", "Epoch: 045/050 | Batch 400/469 | Cost: 12485.5879\n", "Epoch: 045/050 | Batch 450/469 | Cost: 12399.2988\n", "Epoch: 046/050 | Batch 000/469 | Cost: 12027.0762\n", "Epoch: 046/050 | Batch 050/469 | Cost: 12070.3789\n", "Epoch: 046/050 | Batch 100/469 | Cost: 12531.2441\n", "Epoch: 046/050 | Batch 150/469 | Cost: 12265.9395\n", "Epoch: 046/050 | Batch 200/469 | Cost: 12452.6680\n", "Epoch: 046/050 | Batch 250/469 | Cost: 13118.8711\n", "Epoch: 046/050 | Batch 300/469 | Cost: 12208.3818\n", "Epoch: 046/050 | Batch 350/469 | Cost: 12624.9814\n", "Epoch: 046/050 | Batch 400/469 | Cost: 12488.5791\n", "Epoch: 046/050 | Batch 450/469 | Cost: 12633.9775\n", "Epoch: 047/050 | Batch 000/469 | Cost: 12152.1914\n", "Epoch: 047/050 | Batch 050/469 | Cost: 12525.3857\n", "Epoch: 047/050 | Batch 100/469 | Cost: 12195.7227\n", "Epoch: 047/050 | Batch 150/469 | Cost: 12642.2949\n", "Epoch: 047/050 | Batch 200/469 | Cost: 12667.8174\n", "Epoch: 047/050 | Batch 250/469 | Cost: 12729.5176\n", "Epoch: 047/050 | Batch 300/469 | Cost: 12052.5898\n", "Epoch: 047/050 | Batch 350/469 | Cost: 12097.2480\n", "Epoch: 047/050 | Batch 400/469 | Cost: 12530.8574\n", "Epoch: 047/050 | Batch 450/469 | Cost: 12496.5098\n", "Epoch: 048/050 | Batch 000/469 | Cost: 12613.0137\n", "Epoch: 048/050 | Batch 050/469 | Cost: 12692.5273\n", "Epoch: 048/050 | Batch 100/469 | Cost: 12363.4863\n", "Epoch: 048/050 | Batch 150/469 | Cost: 11625.2861\n", "Epoch: 048/050 | Batch 200/469 | Cost: 12005.9697\n", "Epoch: 048/050 | Batch 250/469 | Cost: 12227.3750\n", "Epoch: 048/050 | Batch 300/469 | Cost: 12684.3359\n", "Epoch: 048/050 | Batch 350/469 | Cost: 12430.2783\n", "Epoch: 048/050 | Batch 400/469 | Cost: 12213.2578\n", "Epoch: 048/050 | Batch 450/469 | Cost: 13208.1133\n", "Epoch: 049/050 | Batch 000/469 | Cost: 12118.3057\n", "Epoch: 049/050 | Batch 050/469 | Cost: 12340.2715\n", "Epoch: 049/050 | Batch 100/469 | Cost: 12029.6094\n", "Epoch: 049/050 | Batch 150/469 | Cost: 12366.4453\n", "Epoch: 049/050 | Batch 200/469 | Cost: 12537.2998\n", "Epoch: 049/050 | Batch 250/469 | Cost: 12324.0312\n", "Epoch: 049/050 | Batch 300/469 | Cost: 12378.3457\n", "Epoch: 049/050 | Batch 350/469 | Cost: 12218.6914\n", "Epoch: 049/050 | Batch 400/469 | Cost: 12550.4785\n", "Epoch: 049/050 | Batch 450/469 | Cost: 12444.4463\n", "Epoch: 050/050 | Batch 000/469 | Cost: 12246.0020\n", "Epoch: 050/050 | Batch 050/469 | Cost: 12554.1836\n", "Epoch: 050/050 | Batch 100/469 | Cost: 12373.2930\n", "Epoch: 050/050 | Batch 150/469 | Cost: 12895.8096\n", "Epoch: 050/050 | Batch 200/469 | Cost: 12233.0605\n", "Epoch: 050/050 | Batch 250/469 | Cost: 12621.2920\n", "Epoch: 050/050 | Batch 300/469 | Cost: 12492.7812\n", "Epoch: 050/050 | Batch 350/469 | Cost: 12525.1934\n", "Epoch: 050/050 | Batch 400/469 | Cost: 13032.4062\n", "Epoch: 050/050 | Batch 450/469 | Cost: 12618.7773\n" ] } ], "source": [ "start_time = time.time()\n", "for epoch in range(num_epochs):\n", " for batch_idx, (features, targets) in enumerate(train_loader):\n", " \n", " features = features.view(-1, 28*28).to(device)\n", " targets = targets.to(device)\n", "\n", " ### FORWARD AND BACK PROP\n", " z_mean, z_log_var, encoded, decoded = model(features, targets)\n", "\n", " # cost = reconstruction loss + Kullback-Leibler divergence\n", " kl_divergence = (0.5 * (z_mean**2 + \n", " torch.exp(z_log_var) - z_log_var - 1)).sum()\n", " \n", " ### Add condition\n", " # Disabled for reconstruction loss as it gives poor results\n", " # x_con = torch.cat((features, to_onehot(targets, num_classes, device)), dim=1)\n", " \n", " ### Compute loss\n", " # pixelwise_bce = F.binary_cross_entropy(decoded, x_con, reduction='sum')\n", " pixelwise_bce = F.binary_cross_entropy(decoded, features, reduction='sum')\n", " cost = kl_divergence + pixelwise_bce\n", " \n", " ### UPDATE MODEL PARAMETERS\n", " optimizer.zero_grad()\n", " cost.backward()\n", " optimizer.step()\n", " \n", " ### LOGGING\n", " if not batch_idx % 50:\n", " print ('Epoch: %03d/%03d | Batch %03d/%03d | Cost: %.4f' \n", " %(epoch+1, num_epochs, batch_idx, \n", " len(train_loader), cost))\n", " \n", " print('Time elapsed: %.2f min' % ((time.time() - start_time)/60))\n", " \n", "print('Total Training Time: %.2f min' % ((time.time() - start_time)/60))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reconstruction" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { 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jGl/kfRTf01WJrxip8qSwAvj5z3/e3mZ1Op0VL/nzxLRW6au9xL5AtaCS16Gy6m2pCfbee28gVE4V8kyE4ONSazorVrHyQOooVenSHGCuueZq12vLB6+4CpYU59VS/VSyX2n+oDFL/kkQlOpS/ohylD+1oBpz0rYYN24cEO4R+t7U1u4T7aCI75nVoLNiFV8LnXFdyEcwRn1T99lqU+t+JaSm1Zw07lc9evQAoHv37tVvWER7FUDvJUnSHWD6z5YacmOMMcYYY4wxxhhTF7R3AehWYMj0x0OAWzqnOcYYY4wxxhhjjDGms8lTBv5aphk+L5AkyWTgRGAYcH2SJEOBN4FO1/Ted999QNgC1t6tYK2VlC6F3qN4C1i8XaoejUNl8CVUog+C9La98tq8yJRWEklo3JLCm266adm/o21e2lZhCpHRnMzzfv/737d67tlnnw3AQQcdVPmGVRBt6YJwjb7xxhud8toyMNxhhx2AsMVTWwcqfb1XA5W6VZngfv36Zc/JwFjXnbb3xOVxi9G2MBkbNhMymJdh//jx47PnllxyyYJzVepX98Z4u4q2XXbr1q1STa0qsQxdf3dtmShlUNwa119/fYtjXckwtb3ExtHaSlZO3BsFbWmOt3G1hu6Fmpudd955QGG54EUWWaTk7yqGGv8gmLzXejtwKbTFfvjw4dkxmfLLuF9bwHQPA9hrr70KXkfFNfR6KjgB8Kc//QloaWYv49pm4PjjjwfC2K3CGABrrbVWTdrUqGjupO10edB9ZOjQoRVpU6Px8ssvA4Vl4MUhhxwChG1OXRUZtseFKMQuu+xS7eaUJE8VsNY2O3bNEgbGGGOMMcYYY4wxDUbFTaA7ihQ31VDetGb+3JZhdD0gVYFMpvr37589V20lQFyWWpk+mWEpi1pPyo5SJZCVxcvT5z755BMgqFZUWrgr880332SPL7jgAgBGjRoFBNNeIXUHwJgxY4DmydypJDl0nvKnGJWKl2ptjz32AGDEiBEVeb9qstBCCwFw7rnntnhO2eJf/vKXQKHiBWCOOebIHsusVxm/tkweGxWVLZeqZ5999smee/HFFwH47LPPgJCNlwlrM8ZDxOXsb7755hq2pDHYeeeds8c33HADkM+MvRgpf/QaAL169epg6+qXl156CShUfbaGzIqLTYtjSs1LIGTc4zLgUoBI2aay4LVEqkIZoJZS0Ok+L+PxAQMGZM9p3nDdddcBocCJ5lt5kGomNrtdfPHFc/9+PXDvvfcCYezafffdAdh3331r1qZGRyr0WHHXGlL+XHTRRUDh/aQrc9dddwHw1VdftXiu1qXN65X4u/hGG21Uw5YE2usBZIwxxhhjjDHGGGMahLpXAFUDZc87u+R8rVB5w1ogLyBoWRZc5ZfrSQG0/vrrZ4+VdTrrrLOAlqWVY5Q9HzZsGBDKBHdlpO6J91bHe/VL8fXXX2ePleVaZpllAJhpppk6u4lVJfZWaasscDmvMyOuvPJKAD7//PPsmLKotSrLWQnkhaGy3cX7rGNfhK50bf7ud78DYKWVVsqOnX766QB89NFHABx99NFAyzHMmNifR4odqXik4oh9fYQ8SdpSDXV2Ofl6Qj4+teBf//oXAMcddxxQHwqge+65Byj0qilGynD9POOMM1o9V4pO/ZSPS8yCCy4IBPVUo88fIPgkaV599dVXA8FzCmD11VcHgtJV9z4pMeI5eVdFihWAE044IffvST0mpXFX59tvvwVCP4xZZZVVgPrxt6k1Gvs0f4892hSrWmMFkDHGGGOMMcYYY0yT02UVQLHapzXljzxgyqkkVguKFQIdURt0JmpHvbSnFHFFIGXQTjnlFKBtBZA+k/wz5MGhajxQXqahGbj00kuBtlU/2ucvh/znnnsue07xl4+ClAuNSrznV5/zwAMPBML+8759+7b4vcMOOwxo6Vcg5QaEaiCtccstt2SPpbJqdAXQlClTssfqR1OnTi04RxWvSmWouhLbbrttyccxUmTGzDrrrBVrUyPy9ttvAyHzueyyy2bPde/evSZtqiSxT4+quRx++OFAyOzKswUKPX5iBg4c2ObzXZkf/3jatFsKFfmK7L333tk58hIsrpb5ww8/AKE/xrz33ntA8EMrdW+pFqNHj+7Q70uVr/lZz549ARgyZEiLc9VPZ555ZiD4Dil2jeb7EyN1jzz9jj32WCBUYYKgfr311lsLflfV1aQAhuap7pgXzX1GjhyZHSt17UBppUYp76quzLXXXguUVnhq/Jp33nmr2qZ6Q5VpX331VSB8R2xtHlZLrAAyxhhjjDHGGGOMaXKsACqBlD/33XdfdRrTQbTCWPyzFsTO+qo+0yhVZqRAWWONNYCgaCmFMuXad63V3RNPPLHFufWy37PSaL+0qnlByApIGaXYfvfdd0BhZR4pXy6++GIgVLRafvnlK9nsihF7EKy44opAqF714IMPAoV+GjNSX/zlL3/JHiujpex8M6Os95lnnpkdmzBhQslz5Tu28MILV75hTYjGMzMNVVuSKjH2VpL/VLOi8VhqTVXjK6XqkeLn0EMPBUJ1wmZWAKkiF8CHH36Y+/ekAs3jG6RKVkL98YADDmhxrqom1lL5IzT3a4s999wTCOpp3e8hqDB+9KNpOeqrrroKCNdc7AEkBZWUPi+88AIA2223Xfs/QJ2h60vzqPjzS/n05ptvAqHKla69uHLVI488AjTunKpcVJ03roo6o+8jmn+C1SzFvP766wX/j31et9lmmyq3pj7RvaD4nlA8ltcDVgAZY4wxxhhjjDHGNDleADLGGGOMMcYYY4xpcrrcFjBt/Tr55JNbPafUNp565sgjjwSC3DGWnkkOqy0olUal1KHQtBVCO+udrbfeuuBnOUiGC8HssS0z6WZCpTLzlMxUbHbdddfsmLb4PPvsswBMmjQJaC658vPPPw8EA97evXtnz2288cZt/u4ll1ySPS42B21mZOgcjy2t8c477wCFW1G17dAUoliptDIUGmCaYAItmrmUeWuonG1bJb2L0RawZuapp57KHn/wwQcVeY/vv/8eCNt/40IAxay77roVaUN70DY0mTfHBte696u92sJUChmOa+6oOG+55ZbZOYMHDwbC2LXVVlt1/APUKbPNNlvBzxjN8bVNcL755gMKt07vvvvuADz99NMVbWet+eqrrwC47bbbcv+OtiTuvPPOFWlTIyND43gOCrD//vtnj7vK95wZEVs1QJh/1mPRCCuAjDHGGGOMMcYYY5qcLqsAKoWUPzKBbhRkvCgFUJz9lqpgp512AoLyoLMVQco63H777S2eW2KJJQA45phjOvU96xGZ+0L43Pppui6vvPIKEDKZMmospfr57LPPgNCXDjroICCU+c3Dcsstlz1WxrXR+Pjjj4EQq1KoBLAyw1ILqRQnWAHUGroXxuXgl1lmmRq1pj559913C/5vc3EjZMwLQZH52muvzfD3ilU899xzDwCffPJJduyaa64BglKj2Hw1RqW9f/WrX+VodXUoRy1WCo3nKsOt63CuueYCChWwVi2W5vTTTweC6hjC/Fxl5JdaaqnqN6wK7LbbbgCMGzcOaNv4WYp1XZdtKdK6Kir/Xnw/XG+99WrRnLpk4sSJADz66KMAzD777ACccMIJNWvTjLACyBhjjDHGGGOMMabJmWFqOEmSXsAVwMLAD8DwNE3PT5JkPmAk0Ad4HRiUpunHlWtqxzjppJOA0t4/Uv7onGZCWaXLLrsMCCqCYcOGZee0x2NFq+Uqr6jXjVfaF110UQDuvPNOAOaee+6y36dRkFrj/fffz45tuOGGtWpO3SNvg1gx9txzzwGhbKlKnjYD8jKQMkVlbadOnZqdo0zw559/DoQ+laYpMOPypRAUHLfcckt2rFHLVatcsrJ4MRp35GkwduxYICiATOtIUfXpp58Czni2xYQJEwr+32jq4Fqh0vHNjNQoAIcffjgQxqy2UHlylTjXfU++JeWistXNpHSUolylzMU888wDwOqrr171NjUq33zzTYtjs8wySw1aUnnk2TZ+/PgZniuvqFNPPRWwurMtRo0aVfD/tdZaC4DNNtusFs2pS1ZYYQUgzNOlEN12221r1qYZkUcB9B1weJqmywHrAAcmSbI8cDQwNk3TpYCx0/9vjDHGGGOMMcYYY+qMGSqA0jSdAkyZ/vjzJEkmAj2A7YFNpp82ArgfOKoirewAeap+NbryRyvXqrq1/fbbZ89p77iUBnLFL+XVI7SXXHsYY5WCMu/FSKWw5JJLZsfuvvtuAPr06ZPvgzQwX3/9NRDiAM3hiq9MirKVnZV5u+OOOwDYcccdWzz3i1/8Amhc75o83HXXXQU/24sUCcpm/fznPwca23fqmWeeAdqu4LHLLrsAoV+a/DzxxBMAfPfdd4B9f9pCflymPFT9qavQq1ev3OeWUjS2hrLJyy67LACnnXYaUKjg2GCDDXK/Xj0jBSy0VP4IVZcbOXJkdkxVwBodVTaLfXmk7moPUhLrZ1dA3kaqcBnPx4XmlfIPtPKndfT9WXMysemmmwL234q9JouRCvbLL78E6lOJX9bsOUmSPsBqwBPAQtMXh7RItGArv7NvkiTjkyQZX6lSmc2CY5Ufx6o8HK/8OFb5cazy41jlx7EqD8crP45Vfhyr/DhW5eF45cexyo9jlZ/cKfYkSeYERgGHpGn6WR4/CoA0TYcDwwH69u3bcjm2QmjlUiuVQhlz+f7UEx2N1YILTluDe+yxx1o8t/nmmwPw4osvAqHKQikuueQStQco9B5p7e++yCKLAIXVHyqp/KlVv2pU2hsvuf7vvffeAFxwwQXZc4MGDcr9/vJoUWWKuFpaMdpLWysq0bf0meacc04A/vvf/5b9Grq+IfhInH/++QDMNttsHW1iu6hErKSm++KLL1o9R/5aUqTFykOAMWPGZI9VEaTW1OuY1bdv31o3oQX1Eqv2+rJUm3qJVyNQiVituuqqQFCan3feeUCoZNgWUvPE2XQ9Pv744wHYa6+9OqOZZVPNfhXPHePKVTFrr702UN7co1p0NFbqQ7qnA0yaNAkI97v1118fgNVWWy07R3M0VYyT54/U+vH3Ab1OPXgAdVbf0nwB4KKLLgJafk+J/6+qX/369WvvW1adWo3vDz/8cMH/pZ4qpdyvF6oZK/lHleLDDz8E4Ntvv61kEzpELgVQkiQzM23x5+o0TUdPP/xekiTdpz/fHXi/td83xhhjjDHGGGOMMbVjhgtAybSl078BE9M0/WP01K3AkOmPhwC3FP+uMcYYY4wxxhhjjKk9ebaArQ/sCTyfJImcoI4BhgHXJ0kyFHgTGFiZJraP4q1fQlu/ulo5V23BkWmVymxCkPk9+eSTuV9PW75UUniVVVYBuobhcym05TBm3nnnrX5DKoTK2++6667ZsT333LPgnG7dugGFRtEyOZbhbLEpX7ytSabhK620Umc1u25QSXttBZMRbx5WXnlloDCul156aSe2rvGQkWprhqoDBgyoZnMaiquuugoIZqMLLbRQLZtjuijamqKfhx12WC2b0yFkAn3CCScAcPDBBwPwl7/8JTtH9zdtx59pppmAMGdS2eCuxn/+8x+gtHXBrLPOCsCBBx4IBOPeZiwQ8Yc//AGAddddNzt20003AW0XsWkNxW6fffbJjmnLSjON+bFR/+jRo0ueo1gA7LDDDhVvUyPz6aefZo/j7YgA66yzDhC2YnZVZOys79XQ8rvNeuutB9S3UXaeKmAPA60Z/mzeuc0xxhhjjDHGGGOMMZ1NUy2jt6b6AbjvvvuArqf8KWbppZcGCg33VCZSJeNFKRNoMc888wDllT9tZmTWF8eqGcqzrrnmmgU/Y8VFsbmZSm/qZymkHJOp9L777tviuWbmmGOOAWD77bdv9ZwjjjgCgMUXXxyA/fbbr/INqyNUwn7jjTcG4IEHHqhlc5qW+eefH4C55pqrxi0xXQGV8Nbc4/DDDwfgnHPOqVmbKoXmR0ceeWR2LH5sAjIkjlU9yppLFdWMfaQ1dtppp+zx1ltvDcBxxx1XcI7KnQNMnDgRCCbSvXv3BkJcF1tssco1tkFQ0QyA/v3717Al9c9DDz2UPZ46dWrBczIh7+rccccdALz33nvox+vVAAAgAElEQVTZMX33089YeVevlFUG3hhjjDHGGGOMMcY0Hk2hAJL/SikfFil+urrypy2UAW5G75Vq8dRTTwEw99xzZ8eaQQGkveL/+Mc/gMKMgPZbS/Gj/bATJkzIztHefXkiqK8tvPDClWx23bLtttsC8P3339e4JfWLvKTkf6AsaOybdMYZZwDBR0Nll5V9UTbUBI+EYoVnnBU1pZF3RFxq2MyY2MdEPP744wU/pe5oZO8f03F69OgBwIMPPpgdk3pFatCuyuyzzw7AMsssU3A8/r/mFF0VxQiCsvqWW6bVJJLfz9lnn139hjUozz33XKvPbbTRRlVsSWOi79Hy+6xnrAAyxhhjjDHGGGOMaXIaWgF00kknAaUd8qX4kfePMZVAbvD/+9//atySyqKKZnFls6OOOqpWzTFdAPlolKoOU4x8k0xLfv/73wPw9NNPFxy398+MkU+NqjvFKuPBgwfXokkNgbwBR44cmR0799xzgaAOin0IjVluueVq3QTTgMT3sdaqgJn8vPrqqy2O/ehH07QiXVW5X8w222wDQPfu3bNj8tJVZexGmF9ZAWSMMcYYY4wxxhjT5HgByBhjjDHGGGOMMabJaegtYKW2fokTTzyxii0xXZWZZ54ZgDXWWAOAOeecs5bNMcaYAoYOHQrA5ptvXnC8T58+NWhNY7HffvsBYSvTuHHjsue8BWzGDBo0qORjY4wx9UfPnj1bHFNBm1VWWaXazalLfvKTnwAwefLkGrekY1gBZIwxxhhjjDHGGNPkNLQCSEbPMmaMDZ9d9t1UAymAbrvtthq3xBhjWrL00ksD8NZbb9W4JY3HggsuCMALL7xQ45YYY4wxlSXeWdPWLhvT+FgBZIwxxhhjjDHGGNPkJGmaVu/NkuQD4AtgatXetOMsQMfbu2iapt3K+QXHKj8NGivoeLzKjhU0bLwcq/z4OsyPY5WfWsbqjU56/2riMSs/jlV+PGblx2NWefg6zI9jlR+PWfmpWqyqugAEkCTJ+DRN+1b1TTtALdvrWDXGe7cXxys/jlV+HKv8OFb5qXV7a/3+5eK+lR/HKj+OVX5q3d5av3+5uG/lx7HKj2OVn2q211vAjDHGGGOMMcYYY5ocLwAZY4wxxhhjjDHGNDm1WAAaXoP37Ai1bK9j1Rjv3V4cr/w4VvlxrPLjWOWn1u2t9fuXi/tWfhyr/DhW+al1e2v9/uXivpUfxyo/jlV+qtbeqnsAGWOMMcYYY4wxxpjq4i1gxhhjjDHGGGOMMU2OF4CMMcYYY4wxxhhjmhwvABljjDHGGGOMMcY0OV4AMsYYY4wxxhhjjGlyOrQAlCRJ/yRJJiVJ8kqSJEd3VqOMMcYYY4wxxhhjTOfR7ipgSZLMBPwb2BKYDIwDdkvTdELnNc8YY4wxxhhjjDHGdJQfd+B31wJeSdP0NYAkSa4DtgdaXQBaYIEF0j59+nTgLRuTJ598cmqapt3K+R3HKj+OVXl0xXi9/vrrTJ06NSn397pirMDXYTk4VvlxrPLj8T0/Ht/Lw9dhfhyr/HjMyo/HrPLwdZifvLHqyAJQD+Ct6P+TgbWLT0qSZF9gX4DevXszfvz4DrxlY5IkyRs5z3OsHKvc5I3V9HO7dLz69u2b+9yuHivwdVgOjlV+HKv8eHzPj8f38vB1mB/HKj8es/LjMas8fB3mJ2+sOuIBVGrlssV+sjRNh6dp2jdN077dupW9MNylcKzy41iVh+OVH8cqP45Vfhyr/DhW5eF45cexyo9jlR/Hqjwcr/w4VvlxrPLTkQWgyUCv6P89gXc61hxjjDHGGGOMMcYY09l0ZAvYOGCpJEkWA94GdgUGd0qrjDHGGGOMaUJUgOWjjz4C4Isvvsie69mzJwA/+lGHCvUaY4wxJWn3AlCapt8lSXIQcBcwE3BZmqYvdlrLjDHGGGOMMcYYY0yn0BEFEGmajgHGdFJbjDHGGGOMMcYYY0wF6NACkDHGGGOMMV0JbeECSJL81Zy//fZbAEaNGgXAKaecAsDCCy+cnXP11VcXHCvn9Y0xxpgZ4Q3GxhhjjDHGGGOMMU2OFUBdlDh7VYyzTaYeUB/Vz7hfNkIf/f7777PHX375JQCPP/44ABdccAEAH374YXaOsr3LLrssAGuttRYAG2+8MQDzzDNPdm4jfH5jjGlWyh2DpfyRuue3v/0tAJ999hkAH3zwQXbuq6++ChSqgkz7iOe6n3zyCQBTp04FYNFFFwVglllmqX7DTMOiuV1s0u45mWk0rAAyxhhjjDHGGGOMaXKsAOoiaMX6888/B4IiAWD22WcHYKaZZgJg5plnLvip4+BVblMeyr599913QMjAPfvsswDceeed2bn33nsvAO+88w4Q+uhPfvITADbYYIPs3EsuuQSAbt26AfXVL/WZ47K+yvpeccUVALz00ktA4XUoFBN97hVWWAGA3/3ud9k5W2yxBRCu0a7G//73PwAmTZoEwHXXXQfAHXfcAcCUKVOyc9X3pKDafPPNATjppJMA6N69e3auyy4bUz4//PBDwf99HU0jjsu4ceMAOOaYYwD4+OOPgXDvihWe888/f7WaWFFKKc2lhPrxj6d9/ahUX/nmm2+AwjnGjTfeCMDqq68OwDbbbAPAkksumZ3TqH1Xc3zd7/Q5SimnSz1nphFfs0899RQAe++9NxDmG0IKMoB77rkHgB49egCObTOjPhKr/L/66isAPv3004Lnir9PQxjra608bMyRzhhjjDHGGGOMMcbkxgqgJkfZgBdffBGAESNGAPCf//wnO0crlW+//TYQFD8rrbQSAP369cvO3XLLLQGYd955ga6xyq0YQlAWvPDCCwA88cQTQMhmya8FYN111y14rtnRqvhbb72VHbv00ksBuPXWWwF47bXXgJAFjLMtxXHSc4r/888/nz337rvvAkEBVI/Eyjnx/vvvA0HBUio7p6ypvCHkG7THHntk5x5xxBEA/OY3vwGCWqgZ0fgUZ9+GDh0KwNNPPw2EbG9xDGOUmZFaSGPYCSeckJ0z55xzdmrb6wHFT32u2L8gzkzVOiNVL2js0TWofqZxH2CJJZYAwjiv/tRs6Fp6/fXXARgyZEj2nDLk6lsawxWbo446Kjt34MCBAMw222yVbXAdEfv6HHfccQC89957QOhjikf//v2zc6UsaPT5lfpOfJ/XPVDjjtROnTVP0nzhkUceAQr7oN5b76X5bCPHWeO57m+a2+ueqGsTYNZZZwVgwQUXBFoqEWL1k+Yv+qm4xvcLPdfI8StmwoQJ2eNBgwYBYewrnldoHgrBt2uRRRYBmismXR1dS1Lu//WvfwXgoYceys7Rd8Niz9K55567xestvvjiAJx66qkA9O3bt+B3qoUVQMYYY4wxxhhjjDFNTt1JE4pXWIv3lkPLVTL9v7NWz/SeWvXT3j4Iq3mlsvv1Qtze66+/HoDTTjsNgMmTJwOFqhZ93uJYa8/6Nddckx3r06cPANtuuy0QVshXXXVVoDk8SaROueuuuwA48cQTs+cUP/m7KLui2MUZ9F133RWAv/zlL0DzKoG+/vprICgrYq8aVduI+xuEWPTq1Ss7ttNOOxWcc9VVVwHw3//+FwjZKwhZw3rMsqhN8Rix3HLLAcFrQIqduP3zzTcfEFQHyuTJJyj2FLr22msBGDBgAAArr7xyi9drdNRnRo0aBRRmcpVt0TnqT/IzixVR6p+Kn8Z1ZW+UOQWYY445gMaNo8aj+++/PzsmFZ5UoMV71ONY/frXvwbggAMOAEI8mhGN2bEPl8YrjT3y7pIvWXxv1Rg0evRoICiBmgVdW5o7DBs2DChUFOi6k4pF/5eaWEpFCPdT3Q91rTYjit3JJ5+cHXv44YeBlvOsnj17AnDIIYdkx5otNvE1pmtJP+Vxp6w4dGx+LdWV+u2bb76ZPac5hO6XvXv3BhpvvNc9DIKqevjw4UAY+zXOx7GX4kc/FQ+pVmIFrGKj/qpre8MNN8zOWXvttYHmUI6qIqvUxQBvvPEG0HrV5Hj+Gj+uNWqv5j4PPPAAENSH8XM696c//SlQWJlW33fl3alrSyr/Z555JjtXfXKHHXYA4PjjjweaYyyTd+7ZZ58NwD//+U8gxBDCXKlYOaf5vH5CUCJqHr/GGmsAVgAZY4wxxhhjjDHGmE7GC0DGGGOMMcYYY4wxTU7d7EmRHF2lMSU7lIwxllrpHP2OZIux1GyBBRYoOCZplaS5sRxL5l0TJ04EglRZZmCSxgGcc845AGy00UZAfW0Fk0xt5MiR2TGVOi42qCqn3XHsX3nlFQAuvPBCIMhOVU7zggsuyM6t5206pZC0XcZcF110ERC2hEGQvMo8UGZ69913HxC23AHcfPPNAJx++ulAYbnpZkDXqIxAzz//fCDIRSH0M0mOVcp99913B8J1BGErioy1taVMxoQq3Qrh+q5nYlm0DNX3228/IMhlJf+HcL3ouRtuuAEIWzA/+uij7Fxti5P8e8UVVwTqazzqKNqypK1fcWl3fc5VVlkFgIMPPhgIW+00FkK4DmXcV7y1txlMafWZjjzySAD+/ve/Z89pzJ9rrrkAWHjhhYEw3mm7DoRrWNsR99prL6A5tq8WzzFuueUWIJSGhmDqWVwQQVskYoN7ba1oJgP2eHuS+tC5555b8Nyyyy6bnaP+Igm74vXggw8CcNBBB2Xnqhz3TTfdBMBuu+0GNM78oBxkGq4thFA4j4BgGn7GGWcAhSWlmyUm+hy6X0GYXytG2lL0y1/+MjtHW0/KiYPm9v/4xz+AYGEQ92nN37RNpdFM/zWGPfnkk9kxbR3U95d4qziU3oKjWOnvonut7hGlztV9Mj5nzTXXbMenqC80jiuOcbGRUhYkEO6Hm2yySXasPX220mg7l7bRq1Q9hPtgsYF/3P7iQizF/4+3xun3dN/YcccdgeboI9oqqe8gmh/EawP6nPpOqPFdMdd8HsJ3as1TW9tiWGmsADLGGGOMMcYYY4xpcmaY1kuS5DJgW+D9NE1XnH5sPmAk0Ad4HRiUpunHndEgZXlV8vfee+8FQrYAQpau2Kw5Xq0tPhabphWfK6Q0iBUvUJjJl+JFho/1kHHXaqyUPzK/g7ACrNVdKTEWWmih7Bytbrb2UyvFEMyrpKBStkHZvdgA+JhjjgGCmVw9xKqY2JxY2cyLL74YCJmOOJ4yKlbWVyu3W2+9NRDKRULIQMmUT6bQ9ZQh6Ay04q0V/1gBtM466wDQr18/IGTcSpXrlsJFKju9jtQIsRl3bAhdr8QlVZUpkOJJmbw4O6cMseKgMUqxischxS1WbzQL+tyPPfYYEMaw+PNLgXfeeecB0KNHj4LXiJUayowqvhqHlHHWmAiNd22qHyhWV155JVA4rmlskjpTZoVSc6o8NQQ132233QYElUajKoDiOEjR++c//xkISoHY2Fkm7TLDVnEDKZGl5oSQOW4mZaeUAAB/+MMfgJD5P/bYYwE49NBDs3NaK/qwxRZbALDaaqtlx+6++24g9FGphuMsaqOjueO+++4LFCrNRXE8FYdGvcbaQtdfXC5b16HGGql5Y4Wr5gl55oy6X8igVgoEHY/VwpqfSnkb36PrGY3zml/GBRH+9a9/AUHZKYPrpZdeGgjqRQgqY/VBxVfjW6yGlTpBOyTWWmstIMzloLH7rOYDUvxIqVH8/a8UmpPuvPPO2TEpgIrLgNcCvbfmNhqPNU+A8N1NShVdc/HnlzpI43zx9+b4u6Huh5rbxmbSjY6+7+29995A+C4XKwj1nUSxV6xkbq/5BoS4qh/VahzK866XA/2Ljh0NjE3TdClg7PT/G2OMMcYYY4wxxpg6ZIbLt2maPpgkSZ+iw9sDm0x/PAK4HziKDqBVM2XElR14/PHHgVASGcLqmVYaS6l59Fxre+vilWut4ul19Pql/HK0B7CeVr5VqlDqJJXXhNBO7X2W98rGG2+cnaPPX1zGTsTqKa3qjhgxAgjl8JSZkGILwgqzfCmUTa2nLPvLL7+cPf7Tn/4EhNXeM888Ewil7qH1jJRW/2M1gdCe94EDBwL11Xc6glatl1hiCSBkpeK/rz5r8Qq3rrU4M6jS0+pD+l2VEo49EhqNYhWPlHTx51dflJJPyjFlquK4Sp3WjGW61VekHijl0aM+p+yurkv1K/m7QMh6KX5SxOyzzz4Fv9uI6B6lcqy6d8mTBeDyyy8HQp/R72jMilWLyv4pm9Wo5X31GZXZhuCDMGbMGCAof6RShFC2W1k79UX5ksVZTY31zaBg0XxJ9zwIY9OQIUMA+M1vfgO0rvqJUfzjEtw6JqVHsSdOI6NxRyXuYyWV0Piz1VZbASGb3AweZK2hv7HmqBAUK7o2p06dChTO48vxxND8VF5vir3GMCmsoD7n73mQGlqltaUuh6BAlFJ9s802A8K9Mf6sxfc6xbyUaqX4+5XiGb9ePc3l86LPI/+jSy+9FAgxbqvvKQZSD2snCIRxsZ5iou922rkQ+/Hoe6K+c6tvxONRa0o8zRniHR+6R6rfxP6WjY7mAcXfldv6W6ufvffee0AY5yB8x9xzzz1n+DqVpL26o4XSNJ0CMP3ngq2dmCTJvkmSjE+SZLwkmqY0jlV+HKvycLzy41jlx7HKj2OVH8eqPByv/DhW+XGs8uNYlYfjlR/HKj+OVX4qvgyepulwYDhA3759W11a1WqZ9iNq9bBbt25A6b2GxYoV7aeDsGKn1U2tzqqChbIw8e/LG0B7QfU+8gWAsGJXiQxC3lgVo4zmSy+91OI57QceNmwYEFQ4sYdKa/sPtRIer4hrBVTVjJRpVvUrKbYAHn30UQAOPPBAIFT/iP2H2kt7YxX9PlBYMU3ZXa3ua39vOfvQ42oXQmqPWtLReLWFVq/b8uVRvKVQGD9+PBC8NiAoYLQ6rn7zq1/9CqieUqOzYhVnNOVJo0oADzzwAFCovtA56kPFHkBxfBVH7dNXFrRUxY9KUsl+pbHqZz/7GQAPP/xw9pz8RLbffnsgZHal9lGmFILSQ/eUyy67DGiOWBX3DY2tgwcPzs4pVhioryjzGas0dI1pj3ut1FEdjZXiEt/b5CuoeChzfthhh2XnLL/88kC4v+s6k7ognodIWVAPKqmOxkt9Ilau6G+/xx57AOX5rk2ePBko9CjT30R9VAq0alOJ61BfNOSzFXtPCSnFpPxRfNWn5MkF4ZrUvFXzLPm8VEvB0t5Y6X6vfhVXrdLnVTzkLSN/GijtERgjlQEED5dLLrkECKojqfg0Z4fQh/X7+ht0Rga+Ev1Kikzds1RtNlZDq4qcfPHyqBPqgUrOHdpCY7piKW8WHS+Frjep+E844QSgemN/R2OlcUTXBECfPn302gXnxv2mte+G+tyxX1Cxr2WvXr3KbWanUI1+lefa0vxdXrix12Dfvn0BWGaZZSrQuvy0VwH0XpIk3QGm/6z9N1xjjDHGGGOMMcYYU5L2LgDdCgyZ/ngIcEsb5xpjjDHGGGOMMcaYGpKnDPy1TDN8XiBJksnAicAw4PokSYYCbwIDO9oQye8kz5YBqKS0sdmpzBcl+9dWAZUbh2B4KamafpaStEuSqnLWQrK5/v1DEbRYplprJDHT9itJzGKTxr322guAVVZZBQjxjSVsrcnZShnDKX6ScW+66aZAkArGMjdJc2Xgre0ZO+ywQ+7PWCkkV9R2Pwjy4AEDBgDlyazVh2JTacmfl1pqKaBxSo52lHjrk/qDttppK6IMRmODcV1/MjNX6cpGM2xU39I2CAjb2GTsrPGulIF9McXb5yBsrbj44ouBMPap79bDtpSOoutR5ahjKf/TTz8NwMEHHwyEra7aqhNvxdS2VZmxlzJqb1SKy71Kkq1S2xBiI2RUKwP/eLuKtmBrO0GjE98L11tvPSBsPVJcNH+Iz9c1p/FLJrbxdrpddtkFqP+tFnnQtplY0q/rr5ytXxrPdB1qi2r8OtpincdMulHQ1jmN+aXmTvr8o0ePBkK5cm1FiWMVb3GCMJ736NEDgOOOOy57Tv1QW6frAbVfcz+NvRBioy2YmpvG45DG7+I5k/rps88+mx078cQTC95L/UrfD+J5vQqTFJdhrqf7ZTwneO655wD461//CoT2x4VJNtxwQyBsvWmG8aizibc5ySrj3HPPBYIpfVvmz7IBkU1ItbePV4Lia6uc8vWfffYZUGjurutXc9FmiFFH0PxK13B8Xe+2225A7b/b5KkCtlsrT23eyW0xxhhjjDHGGGOMMRWgblLrWrWXwkQKIKknZPYJIaOrjIcyK+UoLOIMi8x/lYnRKruM1vbff//s3Fqv2MXoM0yYMAEIK7AyCoSQydVqbHtUKHFmprictf5uUgLFGUQZ3MogUWZr9aQAihVLio0yAlqxbcsIVQoWZQZi00shw69mz8woOxeb9crwUtm54ixLnHlTJnOjjTYC6utaKwddAzIqhqB+i/tbXkr1GxnU//vf/waCOkYlm88555zs3HIy+PWIVJcyWAXYfffdgfD5NQYqsxv3qxtvvBGApZdeuvKNrRGbbz4tH6NxXupLCPdOPaf7m/ppPL7LJLJZsnexcljXhsqyKvsvtTC0vNYUo9deew0oHL+WW265CrS4Nuh6iQs06D44duxYAFZYYQWgtHJH98pXX30VCIa8scJTr73xxhsDjX8/jOeQF154IdC2kazKTF999dVAuF/mKXmu11U/POCAA7LnpACXsq8eyi+r8IXuQ2o3tPy7P/LII0AojABBpaE+KNWefjc2ldb8XfHU94IpU6YUvBaEsU9I8VhPxHMEqcV0XWk8i+fxKuet+3yxCXSjX2edQTwOnXXWWUBQZsTPFSPFp4y24/tJs5Gnn2is0nfluLS55usqsFSrAhK1RvfCI488Egjzq3hO+vOf/xyo/bXZNfakGGOMMcYYY4wxxnRh6ibFXrwHV6uHWoFdYIEFOvX94kyNslXaz6iVTKlaFllkkezcWq/YlaJ4v3isnFCGoyP+M/FKrl6nOA5SZS2xxBLZMa0WawU0LjFbaxSjuL3KUo0ZMwYInhHaqw7hcyvroqybsnoxikmtyiFWC/U/+Y4ceuih2XPaK1yM+lF83Svbp99ptD3t6u/6bPGeX/UFeRvomijlxaVMnsrkauyLY6kMqxQKel31Q2XZAXbaaSeg8TMycQnTzTbbDICnnnoKCPHUdX366adn5zaLn01bdOvWDQj7zuNrUBll/Sz2qIpVi1JJNYtfWXx96XoqLj/e1viie4LUBI1+DbWGxhxdVwCTJk0C4JprrgGCsiQeW4Q8WU477TQgjOXxXEReL7HiqpGJfcYef/xxoKWaJ/5/a+ogXWtxrNQndQ8pvqdI7QJBOaNyw/KLqYWvjT6jypZLBSv1E4TP8swzzwBhDG9LiVE8HrXlnafYSYF+2223Zc+tv/76QFBl63Xjv1Ot5xul7vPyMVJ7pcCAoGhcdtllAVhnnXWAoNiT0hHa9kJtRvR3veGGG7Jj6pPy3Cq+ZmOfN/l0xTtQujKab1533XVA4XdPzVP79esHNM8colzUr1555ZWC44oL1I/ysGv+hYwxxhhjjDHGGGO6EHWjAKoWWu1V9gFCxkRZFXn/HHTQQUDjeWi05WlQDu1ZwY09gIpVDnn2ulcLZUBOPfXU7JiyLePHjwdgu+22Awo9Dz799FMgrHxrv7mq8CjzCeHvoMxeHk+hRkSZ0GuvvRYozOQVVy9RZS/5Qin7B+GalIph8ODBQOPEq9gfa5tttsmeU79Rplj9JFaHrbHGGgCsuOKKACyzzDJAUC7E15YqpcljQVlDeQMpQwPBUyn292hE4qyvqsrE/jUQlFZDhw7NjtU6o1tNpGgcNWpUdqzYd+rNN98ESivDmsnXpjXa6g/FqlWpYHQ8VgPrmtO9oFHGqVIoJrHfoe6DqrgnhYnGIwhjUnF1Jd3z4phISVtP84COoHsYhCqgeVBsFI8dd9wRgF/84hfZObqHKJ7y2pDC6l//+ld2rvqf7i1ShNRCeaz2SpUkf5547NZjtbtUf1B/LO5HpVRCOlcqSGXa5R8aK0c1ty+u+FtP94hYoaiKeZtssgkQvqPI8w6C35vUv1Ls9enTB4A111wzO1f3RVVqanaVhjwC5ccCQY1W3O/UB+KqkAMHDix4rqujeeu4ceNaPCcFmn521Zhp7lWs+IxV2fUSm+a++o0xxhhjjDHGGGNM11MAKROvTAoEBYNW3pUFUya+XlbriineJ67/x3vT21N1qD0oM/Pyyy9nxxRrtWvJJZesSlvKIa4MpAzKUUcdBYTqFHE8lZHSHvKtt94aCHFWNTAI2ZU4Y9qM6G+vlX9VbYKgotO+dMVEfePYY4/Nzr399tuBsL9dCoVGq7ygbGWcZVTmTZXOdE3Ee4G191x9rDWfLQhVBO69914gVBnT30JVQyCoghodVRGEwgxojLKetfC/qCdi1aIeK+Mp5UFx1RzoGgqgttC9VGO+7me6JuN7WKN5lOUhHrPk43LmmWcCobpjrLpTxVGN/fIbkf/KCy+8kJ2rzLuUH6WqiTUSUgxD6540scJCiuDf/va3AAwaNAgISp224qH5RaxAE/p76L5Tywp++rwaY4rVzxDGG6lQ1l13XQD69++fnSP/GnlwqXKTlAexKn/11VcH4E9/+hPQUvlUyltJ7awn1Z7G59iDZu211wZgrbXWKjg39l7RXEpzAHke6f8TJ07MzlU1Vu16iN+rGVAMpVT5v//7P6CwWlXxtao+oWvr1ltvzZ6rp/5RD6j6nvpcPHdQJdpij72ugtSwxx13XMFxzdt1LdcTVgAZY4wxxhhjjDHGNDleADLGGGOMMcYYY4xpcrrMFjDJZFUOMC6jKAmgtvP8+te/Bup/G4FkrJJdS7YeGxHfc889AOyxxx5AoRy2M5DkUiWFZeALwSRTct16lMDF8n0ZFY8YMQIIxpax+a76hKSzkuJqe0oce20XaCbDvWGFbnUAABRbSURBVNg4T59dsTj++OOBQgloaxJjySJl1AhhS4piqPg32hYwEcuH9RmKS73Hsn+dX7ylRDGPt3Nqu5xKTepvof4ZG182etllmZvKkBGCwV5xHBUHGaECLLbYYlVpZ6Og8UzXpgzsIWxt7aoUFyyQiajGpthIXY+bYVwvhcr6nnHGGUC4n6vMLYT5hMYYxe2hhx4CCrf4vv3220C4dht1+4k+Y7y1tnjM1v/j7d+HHXYYEIx9dd2V6j96D/W75557DgiFEuJtePobaPtmLe+X2hKiObS21cTzBm3tVpEDzRfiOGibjsb3d999Fwjj/Oabb56de/rppwPhntdo16NiU8oMu7Xt4DHa8qdS5ZttthkQyp3H16C2caofaU7eyNtY47jJmP28884DgkF2cbGIGF0vZ599NhDMxE1A8dP2VcU8nltuu+22QNfdNjdy5EigcLshhO/e9Xi/a6yR0hhjjDHGGGOMMcaUTdMrgLRSKTPHYcOGAYWqDilozj33XKDQ2KqeUaZjwIABAPz9738HCsvPyTxPJnLKEnV0xb84C6b3jpVVysYrA7/lllt26D2rhVawlZlqy9RMmSpliuNysDJDVn9qxCyLPp9+Fpc2hLCyLVVPns+p/vPOO+9kx5Ttig0emwUZhr7xxhtAMH+OzRxlqKqscbEKQQorCNdZscGzMjJbbbVVi2ONhowGNb7FY7ZidPTRRwOhLLLUQsrGQCgB21UzU0LXsJRkut5ihZTuhV0V3VOlpJMpsrLEUi1Ac45TpVA/Ud+I+0ixekHjme4FsVGyDOp1HTd6cYS4DHzxPU8xi02bpSxQhlhzBY1zMU888QQQDGml2JDKOzay1euefPLJQH2YQEtJKIPm+D4nFU9b8wSdL7Niqcekuttnn32ycxtdYS11he7lsSpYc6s8cyp9fs1XpZK6+OKLs3N0f7z++uuB8Hfq7J0B1SRWRr/44osA3HXXXUDp+arQ+K2iPzvvvHOlmtjwSIEoU3YRF42ICwh0FaTQhFBESGjOsM022wD1OT7VX4uMMcYYY4wxxhhjTKcyw2XfJEl6AVcACwM/AMPTND0/SZL5gJFAH+B1YFCaph+39jq14sMPPwRgyJAhQCiDGK+yn3POOUAoXdloaF+mfGjkxwOhHLTKRl966aVAKMsNrWdklNWLs03K4uk9lHVSpirO0kt58LOf/QyAnj17tufj1TWKkUpuxvuRN954Y6CxlAdqv/7OU6ZMAYL/Q+wvII+IcrJUen1lhlVWMn5O2eO47HkjohhCyEjJk0tZutgDSXHUdaMSytdeey1Q6Guja1Ix1+9qT7+ud6h/L7Ni9NlUFliZ8lhxoaym/A6kklLGb8yYMdm5Q4cOBby3X1l1lQWWMnG11VbLzmnkTHBnUuxtp74n5R401rheKYo9k/RTqpY4Ay+lg+4pyhg3ojIWwv0PwrWkz6tr7a233srOOf/88wG4/PLLgeClJCWR7rEQ7h2KZ3H58ljVKeW6SqfXA2qvrpE810o8z9QYJQWQ4iBF0YYbbpid22j3t2J0rdx0001AoeJcvqT6e+e5VnSO5vWx8kD9UuNaKd+hRqF4rAG48847gdB/Snn/KD6LLrooEL4/+d7XEl2TBx54IBAUL+pb8oeDrnk/jD1fn376aSD0S803Nb+qx/tcHgXQd8DhaZouB6wDHJgkyfLA0cDYNE2XAsZO/78xxhhjjDHGGGOMqTNmuOSZpukUYMr0x58nSTIR6AFsD2wy/bQRwP3AURVpZTvQXulddtkFgPHjxxc8v+OOO2aP99prr+o1rAJoJXv06NEADBo0KHtOiidlyKXGifdrrrnmmgD069cPCHv8VYVp0qRJ2bn33nsvAC+99BIQsvPFe/8BNtlkEwAOPvhgoD5d0DuKVsi19zjORml/dT3u/WwNrfC/+eabAJxyyilAUHZtuumm2bnKTunvWupzatVb/UP95bTTTgNCpgaCd4HUK7X0MugMYjVcsUeNMryl9vsrgyDfA71OnK1TrOWjoWv+pJNOAoL/FNRn5qEtpBCQ74Xaryp9ABtttBEQfBM++eQTIGT8YrWUxq+urgCSwuDGG28Egv9WfJ01Wl+pFOpH+ql7oWNVmtaqYMXjkGKnuVmxuqVRUHvjinnrrrsuEBSeGt9jVY8+t2ir+pMoVvzIc+PCCy/Mzll11VULzm009Pnj6nJHHTXtq4TUHbrPqbpYe/236rHP6XNLART3B80JdL+TAjtWW+izaC6qvqfvA7Fvi1RrgwcPbvE6jUocr3HjxgGFc69ipPTRrpCu7nvXFlK4xEp9CF5ca6yxRtXbVE+MGjUqe6w5qK7H9ddfH6hvT+Gy7hhJkvQBVgOeABaavjikRaKSDlBJkuybJMn4JEnGx6Z5piWOVX4cq/JwvPLjWOXHscqPY5Ufx6o8HK/8OFb5cazy41iVh+OVH8cqP45VfnJvekySZE5gFHBImqaf5V1BT9N0ODAcoG/fvhXdcBpXGpDC4P7771c7gOAZMWLEiOzcesmctDdW+lusssoqANx2223Zc7vuuisAEyZMAEIWKs62KEOgDIRQRiFeYS/2BSqudnHYYYdl58p7oxJeLtXsV20hBYLiGmeI26oeVm3KjZcGzueffx4Imbg4i6nskapNKJMS77t+9913gaDAu+SSS4DgTRVn8pSR0evVKkvXWX0rVrwpgytPsmKPB2j5eYv3r8evt8EGGwAhUypPL2UIqxW7SlyHDz74IBA+vz5LXDVIKhappOTBVSrzXjyONXq/asf7AqH6kGKlcVnZZaifzHitx3eNS1LoydtFMaw3ah2v4n4jpYEyxRDGJqnzFNNqKz07K1bzzDNP9nj48OEAHHrooQDcfffdQFCOQZifFqsuNP+M74WaT6lyqhSeUmvHSuNKXrPV6FfqB3HlRilm9dnkb7TSSisVHG8vlbgXtDdW6v/qTw8//HD2nKpcSnm93nrrFZwLoQqWFJ0PPPAA0HLXA8Buu+0GhO9Btfzu09G+pft67HkqpUqxqi7+O+t7ktRkjaCCqtX4ru+ScbUrgEMOOQSoT9+kasRKY3msANIxzdNXXHFFoL69THNd/UmSzMy0xZ+r0zQdPf3we0mSdJ/+fHfg/dZ+3xhjjDHGGGOMMcbUjhkuACXTlk7/BkxM0/SP0VO3AkOmPx4C3NL5zTPGGGOMMcYYY4wxHSWPfmt9YE/g+SRJnpl+7BhgGHB9kiRDgTeBgZVp4oyR3C8uuXnNNdcAQSYo8zyVlWxGQ2LJHJdZZpnsmOSkKo/4xz9OW8OTyS+EbT2SsCmekiTHEklJ/vQeAwdO+7PLXLp3797ZufWyta6SSH4rGXMs92vEPqYtDzIWX3nllQG4/fbbAXj00Uezc7U97KKLLgKC2Vkse9eWCZnyqY/pXMlwIcjn22vwWG/EsmPJQSXd19bBUgagum70t1Dp6cMPPzw7R9srJQVvpmttscUWA0IfUaxefvnl7ByZk2ubmK5DjU/aKgGdt22gUdE1J1Nt/X/JJZcEwr3RBHTtaduSxq+45HCttxTWI5ordO/eHSgsTa5CFI888ggAffr0AcJcIjbLbITxLP676/PKWkDX2kMPPZSdo+2/uv6WXXZZIMyZ4lhpC536YTP3MY3h2sIEYQ6g+5vud7oe20ux8XY9bP9RQRZtq9G9DML8/eqrrwZg7NixQGF/0JbK2AIDggH7fvvtlx37xS9+AYQt6Y2M/oax5UUcu5h4+/jZZ58NdLwvNSvxnLS4v8nWIi6i1BWRxcDrr7+eHdPcU1YY9bDNckbkqQL2MNDa3Wfzzm2OMcYYY4wxxhhjjOls6s/BqQy0UqnVuCuvvDJ7TibHvXr1AuCYY44BChUqXQGtcu+8885AKLEtxQrA++9Ps29Spl0ZGf2uVFQQMjPKUOn/zZyhaos33ngDCBniOKMk47RGyhSrjcpoKluiDMoNN9yQnauyhzKMLpVV06q4lFF6XWW7ZG4JjamYaovYIE+mzQcddBAAN998MxBiCCEDLkVG//79gWAAqYw5FJqANhtS7GyxxRYAjBkzBihUlhUrpxTrpZdeGoATTjghey7O/nVFFCtlihXHbt26AdU34W0ENIZpPNT4Hhu0anxvFsViZ6Bsp8ayOEP60ksvAcG4XYoFqTukkmxE1E90D5Mpv36a1lGfWXzxxbNjKgQhleKGG27Yqe9VrASq5dxMbVJJ7QsuuCB7TgoyjTsqnqG5OoS5uK65vn37ArDddtsB4X4an9MIc9EZoTE6NpovVltoXiBFOwTlXT0rM2pJXEBDRuKab0qtJlV6V2XSpElA4fxd/VFrDqXU/fWGrwBjjDHGGGOMMcaYJqehFUDa7/nEE08AcMUVV7Q4Z9111wXCang97PmtJcWZKuh6qqjORHv9paiK4ypvpXrIMpWLsiNSCZx22mkA7LTTTtk59957LxB8gaQcizPiytypnK2yUc2UiWqNWAEkZcrJJ59c8DOmmWNRDlIe/u1vfwPgrLPOAmD06NHZORr7lf1U9vR3v/sd0PW8yNpCShWpzr755hsgeJJYwdISjdmx5w8EFRUElbHjF9AYVuxjBkFFJUWxsqhSpMWlhh3TroPmTAMGDMiOad5QrG7prPm7+mk9Zen12Xr27Jkd23XXXQHYYYcdAHj33XeBcC1BUGPIn0XXnOYfzXr/099wm222yY5pziC/QHkd7b333tk5sdeYaYlUPxB2hwipNLt6DDWHiu9vuv40Zum7Uz1ff/XbMmOMMcYYY4wxxhjTKTSkAkir9lqdvPTSS4FQcQjC6ptWfpvB9d7UD8piTpw4EQgrwVJ6ACy88MJAfWWZykVZFvmoyI+m+LHJh1U++VEFmNNPP73gpymPp556CggeLKoOM3jwYKBQqWamoTFb47k8OFZdddXsnDj7ZwpRJZQjjjgiO/bRRx8BQS27ySabAKHqXzP7mpnWUYZcmfPix5WkHu/HcZv0WIqL2CfJTEPjB4R7nfzFir3cTOvonvfYY49lx6TK1BxBOwC6+lgtJVS8I0JVyFURW15A9dz3rAAyxhhjjDHGGGOMaXK8AGSMMcYYY4wxxhjT5DSk9lvbb2Ri+Z///AcI274AVl99dSCUTq5nGZZpPCRbPvroo4FgALbUUktl56j0ZFc3HjfG1A5JkWW2qu0VMsrW/dQEJIdff/31gVB2OTYXn3322avfsAZB9zxt84JQLMAYYyqBvud5W3P5KHaaL0C4x2k819yhq3+f1hbniy++uMYt6RhWABljjDHGGGOMMcY0OQ25TKry2lqNlJnlJ598kp2z/PLLA0EBZEwlkNHzKaecUuOWGGNMS6RElFLWzBgZPA8cOLDgpzHGGNOsDBkypORj03xYAWSMMcYYY4wxxhjT5CTVLFGdJMkHwBfA1BmdW0csQMfbu2iapt1mfFrAscpPg8YKOh6vsmMFDRsvxyo/vg7z41jlp5axeqOT3r+aeMzKj2OVH49Z+fGYVR6+DvPjWOXHY1Z+qharqi4AASRJMj5N075VfdMOUMv2OlaN8d7txfHKj2OVH8cqP45Vfmrd3lq/f7m4b+XHscqPY5WfWre31u9fLu5b+XGs8uNY5aea7fUWMGOMMcYYY4wxxpgmxwtAxhhjjDHGGGOMMU1OLRaAhtfgPTtCLdvrWDXGe7cXxys/jlV+HKv8OFb5qXV7a/3+5eK+lR/HKj+OVX5q3d5av3+5uG/lx7HKj2OVn6q1t+oeQMYYY4wxxhhjjDGmungLmDHGGGOMMcYYY0yT4wUgY4wxxhhjjDHGmCanagtASZL0T5JkUpIkryRJcnS13jcvSZL0SpLkviRJJiZJ8mKSJL+Zfny+JEn+mSTJy9N/zlul9jhe+dviWOVvi2OVvy2OVXntcbzyt8Wxyt8Wxyp/Wxyr8trjeOVvi2OVvy2OVf62OFb521LXsQLHqxxqHqs0TSv+D5gJeBVYHJgFeBZYvhrvXUYbuwOrT388F/BvYHngLODo6cePBs50vOonXo6VY+VYecxqpHg5Vo6VY+Uxq5Hi5Vg5Vo6VY+V4NVesqqUAWgt4JU3T19I0/Qa4Dti+Su+dizRNp6Rp+tT0x58DE4EeTGvniOmnjQB2qEJzHK/8OFb5cazy41iVh+OVH8cqP45Vfhyr8nC88uNY5cexyo9jlZ+6jxU4XuVQ61hVawGoB/BW9P/J04/VJUmS9AFWA54AFkrTdApM+2MBC1ahCY5Xfhyr/DhW+XGsysPxyo9jlR/HKj+OVXk4XvlxrPLjWOXHscpPQ8UKHK9yqEWsqrUAlJQ4Vpf155MkmRMYBRySpulntWpGiWOOVytNKHHMsWqlCSWOOVatNKHEMceqjWaUOOZ4tdKEEsccq1aaUOKYY9VKE0occ6zaaEaJY45XK00occyxaqUJJY45Vq00ocQxx6qVJpQ4VpexAserHGoVq2otAE0GekX/7wm8U6X3zk2SJDMz7Y9wdZqmo6cffi9Jku7Tn+8OvF+Fpjhe+XGs8uNY5cexKg/HKz+OVX4cq/w4VuXheOXHscqPY5Ufxyo/DRErcLzKoZaxqtYC0DhgqSRJFkuSZBZgV+DWKr13LpIkSYC/ARPTNP1j9NStwJDpj4cAt1ShOY5Xfhyr/DhW+XGsysPxyo9jlR/HKj+OVXk4XvlxrPLjWOXHscpP3ccKHK9yqHms0uq5XQ9gmsP1q8Cx1XrfMtq3AdPkYc8Bz0z/NwCYHxgLvDz953yOV33Fy7FyrBwrj1mNFC/HyrFyrDxmNVK8HCvHyrFyrByv5olVMr0RxhhjjDHGGGOMMaZJqdYWMGOMMcYYY4wxxhhTI7wAZIwxxhhjjDHGGNPkeAHIGGOMMcYYY4wxpsnxApAxxhhjjDHGGGNMk+MFIGOMMcYYY4wxxpgmxwtAxhhjjDHGGGP+vx07kAEAAAAY5G99j68wAuYEEAAAAMBcK0GMY3f/vPIAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "##########################\n", "### VISUALIZATION\n", "##########################\n", "\n", "n_images = 15\n", "image_width = 28\n", "\n", "fig, axes = plt.subplots(nrows=2, ncols=n_images, \n", " sharex=True, sharey=True, figsize=(20, 2.5))\n", "orig_images = features[:n_images]\n", "decoded_images = decoded[:n_images]\n", "\n", "for i in range(n_images):\n", " for ax, img in zip(axes, [orig_images, decoded_images]):\n", " curr_img = img[i].detach().to(torch.device('cpu'))\n", " ax[i].imshow(curr_img.view((image_width, image_width)), cmap='binary')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### New random-conditional images" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Class Label 0\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
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\n", 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\n", 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\n", 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\n", 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\n", 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0DCn5XB06iiK7aSlwXgMapDu1shxrUOlrNjeQZU5Q2tvbWbJkCQD3338/0DH9gz5LA1pbW1vecvhkLnOpvZ1wwgk88MADQHqZr7a21rYXazLZ1RKY7H/99de57bbbgHR9q22ce+65tkEhScQnsi+99BKQzrM1atQoqxfZ+OCDD9rkQddQE00dJJwkKisrzR4F5GrMGDFihLVB2bJq1SoLVNZYo80hURRZfWpCdvjhh9sNPx8TydLSUpsAapNLfGLfVV/MfL5w4UJbmowHnkOqXas+ZWOuURvTpOpTn/qU3d/kSPbEYdZ98ZZbbgHSm0EqKiosFEbL+Pl2AgYNGsRPf/pTIB00vvPOO3eZl3BzKMedco/JcTj//PNtrpALkuUyOY7jOI7jFBgFoUxtt912FnAuD1lnvm2//fbmeShotKGhwWbxSsTXleSZdOLLDlLmFOB64403mrJx7LHHdnhMEnHvSfUjL3fRokVAaivy3LlzgfR27LhqI1VRbSBpyyabQ97U+vXr+d3vfgekvUHouF0d0p7jhg0b7LW4h53L5Vt9tpSZUaNGccghhwCYqlZSUsKTTz4JpJeypC6VlpZ2COiFVMbozPQPCqQ955xz+jyRZVeUlZWZByvFVKrv+PHjLahabfSGG24wxUZJDhWUH78mSbE1hGDllMrY1dmlGkPvvvtuy7odP4cSUksv2uyizRMnn3yyKTj5UlfVV6QERlHUKSu46qukpMTKr6S0V111lW2ayaSyspKTTz7ZnucT1Uc8aF52hBA6jRFdtbH4ubZKe6HlUNXxoEGDbAmzr1Y2QgimmGp5eHP2xFEdL1++nJ/97GdA+j6j8UmbFHJF4dyVHMdxHMdxEkhBKFM1NTWcf/75QEe1BlIzcs1UpQI8+eST9nyPPfYA+jYJYm+QGZi3fv16U2y0fTbfCSy3hhCCBaUrpYC8wzlz5vCtb30LSG9njSPFLd9eYTZkHguxYMECC9qNB9YrLkVKjs7Oqq+vZ8899wTSa/5lZWX2/lyqHGprlZWVpmBICX7ssccsXkZKozzltrY2S22h5JUPPfSQKV36LG3tVmxOEtE119lfUjxmz55taRAUT7Vs2TKLY5FKo23lra2tiVOmoGslClJev/rlj370IwCuvfZaq2u9X7E8J598siWYlOIYV1Hyja5xCMGeZyaeXbNmjR2/oticxx9/vEMKiDhjx45lypQpQN+dRVhSUmLfrXI2NjbaWKK+FI9fzDzSa/369bZZSQqVrtHkyZMtIXES2unmyhD/m+pUK1bXXnutbZLQEUlS0HO9OpXcu2+MEEK3bqRaTli9erXJ1zo3qhDyS20OTQ7VMQ4++GCT0pN+1qCID3SQDqQ88MADLfjzS1/6kr0//nfo20NVe0r8fEkFtmoAgPRArwFSh3NWVFSYI6Ag4dGjR3cKoMz1pGrkyJFAehfthAkTOky2ID2Jb2lpsV1/OsOsqqqKj3/840C6HpW9PsnLtSqbrreye0dRxOOPPw6kB/AQguXLUv4znZlWUVHR5bJEktEEQzsU47tONZn/whe+AMD3vvc9m1jF+2eSbsiZk6qqqiq7sSpsoisnTraeeeaZ1v77kswzIVetWmXL0BpTNOmP3y/l7CxevNjOvtPkWO8/8sgjrR6TUHfdJXP8XL58eadcaLJ15cqVtiPQ80w5juM4juMkjIJQpraEVBsFyYYQLJ+E5NliY7/99rMUA4Vw3uDmKCkp4Y033gA6bn/V9ur999+/z8qWLfLWGxsbTcmI2ygvUx6TvKoFCxaYPK1ltebm5g5BtJD7XDAqvx67UojlFb/77rumSOnstokTJ9r/6DOkEuc6oL43UPlkw7Bhw2xJRUrBLrvswu677w5gS7MKpK2srEy8jXFWr15t+e3iipRU4rPOOguAK664Aki126TblxmcHc9bqKztmTntIK34n3jiiYkIochU9IcPH94h4B7S40FJSYmNMwohmDVrlm30kb0aYyZNmlTQqzfxHFnPPPMMkF6p0nWYM2eOhRrkwlZXphzHcRzHcbJgi9PtEMIo4DfAMKAdmBFF0a9CCHXA74CdgbeA/xdF0Qe5K+pHkxmAXlVVZWrG1p40nUTi23zllaxcudLWiQs9uL61tdWCeRX4O3z4cIt3S3Kg8pbQev1TTz1lHmI8HYLqc+LEiUA6u3EIwc6R0jVZtmyZxXqo7vOVRFB0lZhTyVjfeOMNU590vldrayv33nsvkE4J8elPfxpIBWkXyqYCjS0NDQ2dslQPHTrUtpgrSbA835KSkkTHhgm1p+nTp3fKVN+/f39+/OMfA+nNI0nIWJ8NUi0WL14MdEzFInQeqtSMpBBX2NTO1D4z48QgnYT0scceM7VR98Vzzz0XSCmphVinslvjzogRI0wlzkxGvGLFipzGL3anl7cC34qiaDxwAPCNEMIewCXAI1EU7QY8sul3x3Ecx3GcbYotKlNRFC0Dlm16vjaEsADYATgBOGzT224H/glcnJNSbgF5FU899RSQWuvPTEZXyMRn0/EEdFLfCt3GxsZGOwJARxlMmTLFjoYoRPvkMUmNWbhwoakX8fqUsqTdYJMmTQJSqlXmUST9+vUzZSoJSWjV71544QUglYRVKqLa5jvvvGNtVtvRlTZhzJgxXR5Fk0SkZLzwwgv2XDE1AwcOtF1/mTvbkm6X2qISHM6cOdP+prqZMWOGnddWiH1RxOti/vz5ABarGUdqsZJYJiFe6qPITBUUJ36kE6TiMDMT52qncBLGk60lvmITPwtV8YqKNdUYe8ABB+S0P25VKwkh7AzsDTwL1G+aaBFF0bIQQp/tz1duG23Lbm1tTcRW1t4iiiK7OWsr7IABAyxLbKGizv7kk0+ycuVKAMtF1draaktASb8hdYUCPJVpePHixR1SIkDKfi3Rqi7j52JJntcy2tixYxNxk5Yd2vDxz3/+E0hNpo488kggnUqhsbHRcqNpG7racGNjoy039PXB1R+FJoxvvvkmkDozUnWmQToegC5b4wGuScwzJbRRQEta8aDz6dOnA6mg3kKeRGUSP5haN9w4ypitTPeFikIMlBdt9erVNmnSMnyhpNXpivb2dnNQlTfr6aefZtmyZUB6TFGOvGHDhvX5Mh8AIYT+wH3AhVEUrdmK/zs7hDA3hDC3q1wexUCx21js9oHbWCwUu43Fbh+4jcXCtmBjnG4pUyGEclITqbuiKPrjppeXhxCGb1KlhgMruvrfKIpmADMA9ttvv5xMC+VNKcC3qqoqr0GDubYxhNDhjDdIecNaUsg1ubJPCsfLL79sdsmr2HPPPc3Lz4dX3Fs2yvNRGgRJ7KtWrerkFZWUlNgSgjJmK9g8fjafPKz+/ftndS16w8aNGzda+oMnnngCSNdPfX299UEpc2vWrLG/yyt+++23AZg7d64pOnqsqqrKSsHp7baqepQ6OGjQIFvK1GPcu48nMBWZdZYE+9T3rrzySiCtvEHarssuuwzI/9JersYb9b+5c+daSoQ4svOUU04BcnviQq7vGVEU8eqrrwJw//33Ax1XbHSOYi4TIefKRt0LW1paePHFFwEss/u8efOsz0o5ltJYUVFh/TMXavEWe0lIfdv/AguiKLo69qeZwBmbnp8BPNBrpXIcx3EcxykQuqNMHQicDrwUQpi36bXvAj8B7g0hfA14B5iamyJunra2NlMzdKL5TjvtVNBrwZm0t7ebjfI2Dj/88ETGYGwNcfVCioy84uOOO87ihzK3v8bRmnlZWVkijpuRIqH4PT3Gz/2Kp0aQ1yQVLh5QKu9JMTp9eSyJlIyHH36YGTNmAGnPT0enlJWVWRkVx7hhwwZTnRQfpXp9//33zW7V+8iRIxNRj/HEqvHfBwwYYO1WMW1r16619itlTtchHieXBLsgVTYlb7z77ruBjkkrdR6h6qZYiLfhrmKltIlg2rRpQDJj3LpLW1sbjz76KJDui5WVlRx66KEAdq5rIdmoPqixtKGhgTvuuAOAZ599FkjNATSWTJ48GYDx48cDKdU/M4Frb9Kd3XxPAB/1zUf0bnF6hnYJ6QLV1NQkZuDqCZlLevPmzTOpVjeupAbsbg3xQzY1KVIg9vbbb28HVSpPiCTa+LKnlniTkmsrs91pN18URZ2Cx6urq80B0M03HpCtoHzZmBnAng90nZWP5w9/+IOVR3Zo1+Huu+9uywg77LADkLoeWkLSMt9RRx0FpM7500Av+z/44AP7vL4Mes5cmtSNNn4emgbtdevWWXC9ziHU/ydxHGpqauKWW24B0psBRL9+/fj5z38OFPbOva5QW5s5c6a1axFCsEm+2m4h09TUZH1WY2Ntba3lrivEbOea8EtYuPXWW80pUDuuq6szB1W2yv6ysrLcnmWas092HMdxHMfZBkhuAo1uEkWRzcDj0m0SPcItIe9cXu4Pf/hDAB5//HFTab72ta/1TeFyQFenzEuNe//9902h0LZXeYz9+vUzL+W9994DUku78qT70qOWHVr2iS8XZXrD0DE4Mv7/IQRTqaTa9UW2cF1n5SEaPny4ZfmWx6edOmVlZey4445A2u7+/ftbdnflEpOqWlZW1mU+OMn4SVBf1Ubl+S5atMgUQymmTU1NpmooUF32t7W1bTYXUF8QQjCVRsiWc8891+qw2FA/Up6wOGVlZXaOa1JU7mxobm62jR5qdwMHDizIuo3nVoTUSg3Agw8+aH1RdTZw4EBbypSarLYdQshpmhJXphzHcRzHcbKg4JWppqYmCz5TvM3EiRMtFkVxDYUQaCev9oILLgDS2z03btxonrtO+U6Kl5sN8jRCCJas88ADDwRSgcjavjx79mwgnV36vPPOM29DCkB5eXki6liej5QmqSsVFRX2t/hp9PKGR44cCXSMC9P7MoOg88X69evNm1dQ8qGHHmp9S4qhfq+rqzOlSf1uwIABFmOl+CN5x+Xl5daOVZ/Nzc3WLpKoTDU3N5ttyh49YsQIu06yUSp5RUWF2ZaU5J3V1dV897vfBdIqzamnngrA6aefXnSxUkL1EI8Xkq3jxo1j6tSpnf5eaKiNLVmyxFYzlHalvr7e2qUUZz0mNct7FEVWR1Lm1dcaGhpsrFAc5vHHH2/j5tixY4GO98rMMwx7k+LsNY7jOI7jOHkimdPRrWDJkiU8/fTTQFq5OO644yw+Q2cQFYKSozVexdHIMy8vL7ddUl/5yleAvvduewPVSWlpqSkz2kZfW1tr6+C6HosWLQJSXpRikrTtNSnIpn322QeAOXPmACmVR15U5lo+dF2fslGP+aa6utrituLI05USHI+/ybStqqqKCRMmAFjsVDw1hEiawijUB3X8xogRI0yZUp+srq42FUDpBHTdQgiJskdo1+Ef/5jKwSw7i1WVgvT9YcqUKbY7Wu317LPPtmuSxPraWlatWmVtUv30kEMOMVVYcUhJr+94XWi8kIp6yimnbPXxWrm0t+AnU7vuuiu/+tWvgLTs3r9//4LsECrzdddd1+GxWJGcrhtVJgpA1yCotBCFhCYVCtouJD6qD2UGVGty9VHvVT1vbpkr6YO6lhh0EHUm+TxxoTeIp5HZVlBfvP3227n99tv7uDS5QU7JwIEDzaHTGYNDhgyxPpg5+U96/+uKpC1NFt4VdBzHcRzHSRAhn1mVQwjvA+uAhrx9ac8ZTMdy7hRF0ZAt/VMIYS2wKGel6l222sYCr0Mofhu72063BRu9LyYH74sfwTZiY1H3RcjzZAoghDA3iqL98vqlPaCn5SwU+6D4bcymnG5jcij2dgrFb6O309z9bz4p9nYKPS+rL/M5juM4juNkgU+mHMdxHMdxsqAvJlMz+uA7e0JPy1ko9kHx25hNOd3G5FDs7RSK30Zvp7n733xS7O0UeljWvMdMOY7jOI7jFBO+zOc4juM4jpMFeZtMhRCODiEsCiG8HkK4JF/fuyVCCKNCCP8IISwIIbwcQvifTa9fGkJ4N4Qwb9PPsd34LLexj+gtG5NqHxS/jd5O3caMzylq+zb9j9vYR/SmjUAqK3Guf4BS4A1gDFAB/BvYIx/f3Y2yDQf22fS8FngV2AO4FPi227jt2Jhk+7YFG72duo3bin1uY/HYqJ98KVOTgNejKHoziqKNwD2dAYtEAAAB30lEQVTACXn67s0SRdGyKIpe2PR8LbAA2KEHH+U29iG9ZGNi7YPit9Hb6VZR7DYWu33gNvYpvWgjkL9lvh2A/8Z+X0IWhc4VIYSdgb2BZze9dF4IYX4I4ZYQwqAt/LvbmBCysLEg7IPit9Hb6TZvY7HbB25jYsjSRiB/k6muTkxN1DbCEEJ/4D7gwiiK1gA3ALsAE4FlwM+39BFdvOY25pksbUy8fVD8Nno7dRspfvvAbUwEvWAjkL/J1BJgVOz3kcDSPH33FgkhlJO6mHdFUfRHgCiKlkdR1BZFUTvw/0nJlZvDbexjesHGRNsHxW+jt1O3cRPFbh+4jX1OL9kI5G8yNQfYLYQwOoRQAZwKzMzTd2+WEEIA/hdYEEXR1bHXh8fedhLwny18lNvYh/SSjYm1D4rfRm+nhttY/PaB29in9KKNKbY2Yr2nP8CxpKLl3wC+l6/v7Ua5DiIlO84H5m36ORa4A3hp0+szgeFuY/HbmFT7tgUbvZ26jduSfW5j8dgYRZFnQHccx3Ecx8kGz4DuOI7jOI6TBT6ZchzHcRzHyQKfTDmO4ziO42SBT6Ycx3Ecx3GywCdTjuM4juM4WeCTKcdxHMdxnCzwyZTjOI7jOE4W+GTKcRzHcRwnC/4PSabu4YWJArgAAAAASUVORK5CYII=\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for i in range(10):\n", "\n", " ##########################\n", " ### RANDOM SAMPLE\n", " ########################## \n", " \n", " labels = torch.tensor([i]*10).to(device)\n", " n_images = labels.size()[0]\n", " rand_features = torch.randn(n_images, num_latent).to(device)\n", " new_images = model.decoder(rand_features, labels)\n", "\n", " ##########################\n", " ### VISUALIZATION\n", " ##########################\n", "\n", " image_width = 28\n", "\n", " fig, axes = plt.subplots(nrows=1, ncols=n_images, figsize=(10, 2.5), sharey=True)\n", " decoded_images = new_images[:n_images]\n", "\n", " print('Class Label %d' % i)\n", "\n", " for ax, img in zip(axes, decoded_images):\n", " curr_img = img.detach().to(torch.device('cpu'))\n", " ax.imshow(curr_img.view((image_width, image_width)), cmap='binary')\n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "numpy 1.15.4\n", "torch 1.0.0\n", "\n" ] } ], "source": [ "%watermark -iv" ] } ], "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": "3.7.1" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }