1059 lines
773 KiB
Plaintext
1059 lines
773 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Preparations"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"'\\n*Uncomment if running on colab* \\nSet Runtime -> Change runtime type -> Under Hardware Accelerator select GPU in Google Colab \\n'"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"\"\"\"\n",
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"*Uncomment if running on colab* \n",
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"Set Runtime -> Change runtime type -> Under Hardware Accelerator select GPU in Google Colab \n",
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"\"\"\"\n",
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"# !git clone https://codes.paul-corbalan.com/Paul-Corbalan/variational_autoencoder.git\n",
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"# !mv Code-VAE/* ./"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Import libraries"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
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"import torchvision\n",
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"from torch import nn\n",
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"from torch.utils.data import DataLoader\n",
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"from torchvision import transforms\n",
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"from torchvision.datasets import MNIST\n",
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"\n",
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"import numpy as np\n",
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"from sklearn.manifold import TSNE\n",
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"from matplotlib import pyplot as plt\n",
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"\n",
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"from utils import *"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Set random seeds"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"torch.manual_seed(1)\n",
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"torch.cuda.manual_seed(1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Define data loading step"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"batch_size = 256\n",
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"\n",
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"kwargs = {'num_workers': 1, 'pin_memory': True}\n",
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"train_loader = torch.utils.data.DataLoader(\n",
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" MNIST('./data', train=True, download=True,\n",
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" transform=transforms.ToTensor()),\n",
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" batch_size=batch_size, shuffle=True, **kwargs)\n",
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"test_loader = torch.utils.data.DataLoader(\n",
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" MNIST('./data', train=False, transform=transforms.ToTensor()),\n",
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" batch_size=batch_size, shuffle=True, **kwargs)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Defining the device"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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"device, list_ids_devices = prepare_device(1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Variational Autoencoder"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [],
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"source": [
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"from models import VAE as VAEm\n",
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"from trainer import VAE as VAEt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Defining the model\n",
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"\n",
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"d = 20\n",
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"\n",
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"model = VAEm.Model(d=d).to(device)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Model(\n",
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" (encoder): Sequential(\n",
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" (0): Linear(in_features=784, out_features=400, bias=True)\n",
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" (1): ReLU()\n",
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" (2): Linear(in_features=400, out_features=40, bias=True)\n",
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" )\n",
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" (decoder): Sequential(\n",
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" (0): Linear(in_features=20, out_features=400, bias=True)\n",
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" (1): ReLU()\n",
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" (2): Linear(in_features=400, out_features=784, bias=True)\n",
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" (3): Sigmoid()\n",
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" )\n",
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")\n"
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]
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}
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],
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"source": [
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"print(model)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Setting the optimiser\n",
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"\n",
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"learning_rate = 1e-3\n",
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"\n",
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"optimizer = VAEm.optimizer(model, learning_rate=learning_rate)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Reconstruction + β * KL divergence losses summed over all elements and batch\n",
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"\n",
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"loss_function = VAEm.loss_function(f=nn.functional.binary_cross_entropy, β=1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {
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"scrolled": false,
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"tags": []
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"====> Test set loss: 544.4362\n",
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"---\n",
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"====> Epoch: 1 Average loss: 190.7399\n",
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"====> Test set loss: 138.4847\n",
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"---\n",
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"====> Epoch: 2 Average loss: 133.5370\n",
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"====> Test set loss: 116.0096\n",
|
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"---\n",
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"====> Epoch: 3 Average loss: 120.8788\n",
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"====> Test set loss: 108.4733\n",
|
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"---\n",
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"====> Epoch: 4 Average loss: 115.8060\n",
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"====> Test set loss: 105.1933\n",
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"---\n",
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"====> Epoch: 5 Average loss: 113.1306\n",
|
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"====> Test set loss: 103.5372\n",
|
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"---\n",
|
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"====> Epoch: 6 Average loss: 111.4213\n",
|
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"====> Test set loss: 101.1358\n",
|
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"---\n",
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"====> Epoch: 7 Average loss: 110.1533\n",
|
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"====> Test set loss: 100.2345\n",
|
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"---\n",
|
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"====> Epoch: 8 Average loss: 109.2291\n",
|
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"====> Test set loss: 99.6173\n",
|
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"---\n",
|
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"====> Epoch: 9 Average loss: 108.4496\n",
|
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"====> Test set loss: 98.4703\n",
|
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"---\n",
|
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"====> Epoch: 10 Average loss: 107.8486\n",
|
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"====> Test set loss: 99.1964\n"
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]
|
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},
|
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{
|
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"name": "stderr",
|
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"output_type": "stream",
|
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"text": [
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"c:\\Users\\Main-user\\Desktop\\Code\\utils\\plot_lib.py:18: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
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" plt.figure(figsize=(18, 4))\n"
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]
|
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},
|
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{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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"text/plain": [
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"<Figure size 1296x288 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
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|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
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"text/plain": [
|
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"<Figure size 1296x288 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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",
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
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]
|
|
},
|
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"metadata": {
|
|
"needs_background": "light"
|
|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x288 with 4 Axes>"
|
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]
|
|
},
|
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"metadata": {
|
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"needs_background": "light"
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|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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|
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"text/plain": [
|
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"<Figure size 1296x288 with 4 Axes>"
|
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]
|
|
},
|
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"metadata": {
|
|
"needs_background": "light"
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|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
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"<Figure size 1296x288 with 4 Axes>"
|
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]
|
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},
|
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"metadata": {
|
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"needs_background": "light"
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|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Training and testing the VAE\n",
|
|
"\n",
|
|
"epochs = 10\n",
|
|
"Trainer = VAEt.Trainer(model, optimizer, loss_function, device, train_loader, test_loader, epochs = epochs)\n",
|
|
"_, codes = Trainer.train()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"for x, y in test_loader:\n",
|
|
" x = x.to(device)\n",
|
|
" x_hat, mu, logvar = model(x)\n",
|
|
" pass"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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",
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Generating a few samples\n",
|
|
"\n",
|
|
"N = 16\n",
|
|
"z = torch.randn((N, d)).to(device)\n",
|
|
"sample = model.decoder(z)\n",
|
|
"display_images(None, sample, N // 4, count=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
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]
|
|
},
|
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"metadata": {
|
|
"needs_background": "light"
|
|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Display last test batch\n",
|
|
"\n",
|
|
"display_images(None, x, 4, count=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Choose starting and ending point for the interpolation -> shows original and reconstructed\n",
|
|
"\n",
|
|
"A, B = 1, 14\n",
|
|
"sample = model.decoder(torch.stack((mu[A].data, mu[B].data), 0))\n",
|
|
"display_images(None, torch.stack(((\n",
|
|
" x[A].data.view(-1),\n",
|
|
" x[B].data.view(-1),\n",
|
|
" sample.data[0],\n",
|
|
" sample.data[1]\n",
|
|
")), 0))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
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]
|
|
},
|
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"metadata": {
|
|
"needs_background": "light"
|
|
},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"image/png": 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",
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"text/plain": [
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"<Figure size 1296x432 with 4 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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rX4Pfv+rr6dqB1lCa/97JbWn++C9fmebrP5vsC+Mn07Wne1/oWTmcrx8arM8a9rTuQlOXd3m9uJxZ7ez1GRF737ihNvvoZb+Url3dszLN75zJz83f/q03pfklf/xIbdYdG0vXVp0l7gsNfdftwYGG9fX7ddXQ1d147PYFlqrhfW/uhp212a+85ffStZf25fvC4/P5e/r3ffgn0/yq39pXm3UOPJOu7S7k516jhn2haX7LOO//f+7oAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUJC9sP4e1evNvbezyvKPyxpHHa7Opbt7nfrCT53fec1maX7n/YJp3sv7YqpuubdTUh71mVZrPXZN3gWf6jxxP8+7s7Ck/NkQ097PO77gwzb9t1zdO+bnHOlNp/tsPf0uaX7T7eJpXM0s4P5K+6sU8/0y4Z/Vomleb6nvGIyJa0/V7ZjWR9wUvuesbGl7/7Q3r0rzvlUdrs9F2/thN1xPveubVab7+q5NpXk3l+85SNO2n7ZGRfP0F+XVYdbL+e6uargfOw75szqyehtfvnjcM1GbXDRxK13aqFWl++8S1aX7xX+bvi9WJ8TRPNVwPNO4Lw0P54zesrybr97RqIZmPzlPu6AMAAEBBDPoAAABQEIM+AAAAFMSgDwAAAAUx6AMAAEBBDPoAAABQEIM+AAAAFCQvmz+HVQ0dqoNjecfkf//KG2qz49d/Ll37xEzeuduaz3t1FzbkndQ9k9O1Wff4iXRtVN00bq/Iuzu72/Ke8bnR/CW18utH6h97bCxdqxeX066bv8Y+eU99d+1NI3vStfNVfm7MzPWl+eT2vHt25WTSVX+o/ryLaO6ib9oXYsPa/PEbenFbR+rP/e50/X63+OD2BZaooRe66s/PzfGHV9dmn73i4nTt2p6TaX5yvr6LOyJi7Ir83Fx3cktt1t6fd3lXM3lXfathX2itbNg35hfSuHtysjarFvK1sGSt/Fq9NZS/J/cfr1//1dn8Wvp4X/6ePdEZTPPD1+bXG71TO2uzwYefSddWU/U99hERrcH82Jp+X6vxiTTvzs0ni10PPJc7+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUpNh6vWioixr+6lNpfulYffXFH172unTt1EV5dURf3sgRh146kubrhur/2PoOXpCubaoJmt6cP/eJ7flLZv3deVVQtfdAfaYuh9OsaqjP6320/vUZEbHr/fVVWe+8763p2vGdebVldzSpjImIva/JP5ddu2FTbTb6WEPlZ0Mlzcxwft4vDOXHNvrl/fn6E+P1obocTreG2tk4ciyNd9y+sjb72WPfna5deHH+nnnxmrwyt/tdR9N8z8766stVu+trASMi+qYa6njzy6wYGMv3tP67H03zam4ufwJYRlVD9eumL9TnP3nB29O1u256Ms2vHj2Y5q9985fT/I7rrqzNOo/WV3JGRAweyWec4YP5vjH6cL7nxeG8WjC6DRsP/4A7+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABcnLkc9hTZ3snSN592zP8fru2nUPDeVPvqG+tzYiYmbbqjQf29mf5k+/tP75OwP5sfXceDzNr9mQ99o+8fCONN/4l3lvbncuz+G0auhf7Y6NpXnPvZO12UV76ru0IyI2bt2Y5mNX5uuPXpPGcfSG+u7aIzfmW/0lu55J8w1Dee/tvX91WZqP/k2V5o095nA6Vfnrs3tiPM177n2kNrtkf349MHlPvi8cun5Tms9fm5+bA1fWX8tM11dpR0TE1RftTfPZTr6v3P+n+RNsubcnP4CGPxc4rZr2hZP11wMREX33P1ab7Tp2Ybr2yIPb0vxPbsq77q+4Kj93r794X23W3pR/39eM7E/zx6bXpfnd77kuzdc/mO8LdoXnxx19AAAAKIhBHwAAAApi0AcAAICCGPQBAACgIAZ9AAAAKIhBHwAAAApi0AcAAICC5CWoBasWFvK8k/RtN3TBt2dn03yoYX3V3pDmT9/UV5td/ZqH07U/semONF/TM5PmP129Mc0nevNOYH3ZnM2Wsi+05ubSta2Gzt214xel+cD4mjQ/fG39dr7rlvo+34iI/7LlU2m+qp3vaf/xpW9N82poIM31ZXM2W8q+UO3P3+9XHDue5lv3XpzmE7tH0/zYVfWd1Je9ek+69gc2/EWaj7TzPe8HXrU6zVsfHE7zGBvLc1hG6ZwQEZ3xk7VZa/qJdO26A4fSfO29F6b5+M4taf7ElfX7wotu3Z2u/baVD6T5wEj++/K2b9+W5q2PNuwLU1N5zj/gjj4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEHqi5fPd2mvc94F39StGTN5J3XPbEM352D9H9vVFxxM117Zn/fe9kR9t2ZExEhvfuwTaQrnuGRfaDzvG7q4W8dOpPnwo/l2PbWuvrO6HXlP/bbevJd2pJ3vC5uHj6f5M+2NaR6tVn2W7sVwFsj2hYX5dGl3On/o9r78PX10bDzN+05eXJvtuWFtunb9JfnBrWnn94p2rTqc5od66vcsOOs1vTdV9dcE1Vw+R3S7+WO3HnkyzS94si/NRx6t3xfu2r49XbtiS34ts7En3xeuXv90mo/1r0hznh939AEAAKAgBn0AAAAoiEEfAAAACmLQBwAAgIIY9AEAAKAgBn0AAAAoiEEfAAAACpIXM5/Pkl7nVm/eT9keWZnm1ZrRNJ9Zkz/+wnB9v+b2gby3drCV/5Gf6M6l+ZcPbk3zLXN5v2a0ks+Wks5ROCssZV8YGswfuj9fXzV8LJvll6w8mq4dzs7LiJit8s7fuw7k+8K2uZNpDme15LxvXNrTk+d9+Xty1cnPvZibT+Pemfr31XUrJ9O1I+38+56PvOv7Kwe3pPnW2WNpDme107gvNKnmG661u/m+0Z6Yrs16hwbStSOt/Lyfb7heuPfpTWm+dfbpNOf5cUcfAAAACmLQBwAAgIIY9AEAAKAgBn0AAAAoiEEfAAAACmLQBwAAgIIY9AEAAKAgeYHruayh37Kx23agvkeyvW5NunZ+U55Pbsr7tCcvyo+tWlHfmzvSnknXTnXzzt375y5I8+k9ed469niaR0O/JpxWTftCb95ln3Xdt1evStdWFwyneWc4766dXZvvG1MX139vVwwdTNc29WE37Qtzu/O8GtuX5lHlzw+nVdO+0N9/ynl7eEX+3L1LuwyrhofS/PiO+n3jOzfuXtJzPzg3kuZzD4ymeffEE0t6fjitGvaFdjInREREX/31Qmsg31Oik18rVwsLad70+FOXra/N3nj53enawVZ+j3j3fP770rm3aV94JM15ftzRBwAAgIIY9AEAAKAgBn0AAAAoiEEfAAAACmLQBwAAgIIY9AEAAKAgxdbrNdXn9Vy4Mc07F66uzY5dtjJdO7El//xkemNem9FdPZvmb3jRA7XZlr6j6dq9nfzYPnD4FWm+8ctpHNVMXu8XWS1H1cnXwhI11WT1bLoozRc21NfITWzKa67mRvJzb3ZVXuUzuTnfN15781drs1es2JOuPdrJn7tpX9j0+bzqpzvdsC/AMmqqyWpt35LmndH6c39mVUMFV0O1ZGco3zfGduaXcde/pf564a2jeY3WTMOx3XbspjTfesd0mndn8msdWE7tofw9PXZuTeNqoL5eb2Egn1F6T87lj93bsC9cns8pm3/w0drsx9Z/IV3bifx64UNjL03zbZ88kebVQl4DzvPjjj4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEHyAtazWSvvcWz15t/a7M6Naf7k6+u7b7fesD9d+61rn0jzrQN51/18lR/7roGna7Opbt7Z+4fHb0jzOz91TZpvv6f+uSP+CX3ZVd4FDkuyxH3h5FUb0nzfLfWfjY5eOpauvWzt4TR/0ciBNL+o73iav2TwydqsL/Lz7o9O5L23d9+W7wub76nv5I2I6MwvpDmcVg37QvTV911HRJy4Zm2aP/Oy+qy7Lu/DXrV6Ms2v35Bfb7xiND/3XrWiPh9uN/RhT1yZ5l96X349cdF9D6R5p9tJczitmq4X+vN94cgNq9P82NX1Wbe/StdWK/NrlZ2XPJPmP7zpz9L89cP11wsrWv3p2o9N5vPT59+VbIgRsf7r96R5VeW/Nzw/7ugDAABAQQz6AAAAUBCDPgAAABTEoA8AAAAFMegDAABAQQz6AAAAUBCDPgAAABQkL2o8h7X68x7IheGeNN903cHa7Fcv/VC6dmdf3gE5U+XdsfsW8j+Wh+YurM0+cjjvtX3gjsvTfPtHjqZ5tTfv+q6a+rL1Y7KMmvaFuZH8s8+rb3iiNvvprR9P1+7qnU/zJse73TR/pjNUm73/2Dela//vbTel+bYPPZXmnaPH0jz0ZXMWa+rLnh3N+7ZveNnDtdkPX/S5dO3OvvE0H2zo+s53hYjJ5Bf84XhS9B0Rv/u+16f5ltt2p3lnYiLN4azWl18vzKzJz82bX3lfbfa29V9K1+7oPZHmq9r5tUpfK887yX3e/zO1Ll3787/zr9N884ceyJ97ZibNeWG5ow8AAAAFMegDAABAQQz6AAAAUBCDPgAAABTEoA8AAAAFMegDAABAQQz6AAAAUJC8sP1s1tARGUODadzpz9d3u/X5eDWQrj3cOZnmJ7p5Z++7j9yc5n/2pRfXZts+mfdVb//anjTvHB1L82qhoQu8qvIcTqemfaGhL7vVUEo91+l5ngf0d2aq/MEnqryT98MnXpLm77n7m2uz7R/MH3vrXd9I84UTedd3dPN9B85mrb58X+iZPfXHHmnnndH9rfzcnGp4T/3s1I40/5UHX1ObrX/3inTt5i/en+adk/m1jusBzmnt/NzsHz/11/eFPfm5s6Ynv9aYb7ieuGtmJM1/8YnX1WadX9uYrt30F/emeWdqKs05s9zRBwAAgIIY9AEAAKAgBn0AAAAoiEEfAAAACmLQBwAAgIIY9AEAAKAgBn0AAAAoSO9yH8Apa+iQrKam03zlIyfS/OmPX1ibfe/1/y5d2z8yl+advQ3dtZ/JO6mvvG9vbdY9eixduzA3n+b6sDmnNe0LJyfTfNUDY2m+/2PbarO33fSOdO3oSN4tO/bU6jTf+on8e7vqnqdqs87R/PvqLDTsC/qwOZc1vH674xNpvvbu/H31Gx+7vDb73pfXX0tERKwfyfu0n3hyfZpvuz3v+t76lSdrs6brhe7CQprDOa1hX6hOjKf5hi8eSfM7N1xbm33fKy5O124ayWeU+5/K12++rS/Nh+98vDbrHP1qurZrTjinuKMPAAAABTHoAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFCQ3uU+gFPW1It7Mu+mbe1+LM0vOnioPvvjvLc2Grrqu1N5n3bVyTsqF3Rawz+uaV9oOPdau/ek+aYD9ftCfKDhc9OGfWH9VL4n2Rfg9GjaF+Ibj6bxlr0H68PfzS+zqoZ94fLp/fn6hq57jddwarozM/kveCjfF7b+5tO1Weu3831hdm4uzXdO35fm0dB1b184f7ijDwAAAAUx6AMAAEBBDPoAAABQEIM+AAAAFMSgDwAAAAUx6AMAAEBBzt16vSYNVVPVfF5d0Tl67IU8GuBs0LQvNFVVjY29kEcDnAuaqqrGx8/QgQBnjaY634mJM3QgUM8dfQAAACiIQR8AAAAKYtAHAACAghj0AQAAoCAGfQAAACiIQR8AAAAKYtAHAACAghj0AQAAoCAGfQAAACiIQR8AAAAKYtAHAACAghj0AQAAoCAGfQAAACiIQR8AAAAKYtAHAACAgrSqqlruYwAAAABeIO7oAwAAQEEM+gAAAFAQgz4AAAAUxKAPAAAABTHoAwAAQEEM+gAAAFCQ/wdqoYxOXuG7+QAAAABJRU5ErkJggg==",
|
|
"text/plain": [
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|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1296x432 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Perform an interpolation between input A and B, in N steps\n",
|
|
"\n",
|
|
"N = 16\n",
|
|
"code = torch.Tensor(N, 20).to(device)\n",
|
|
"sample = torch.Tensor(N, 28, 28).to(device)\n",
|
|
"for i in range(N):\n",
|
|
" code[i] = i / (N - 1) * mu[B].data + (1 - i / (N - 1) ) * mu[A].data\n",
|
|
" # sample[i] = i / (N - 1) * x[B].data + (1 - i / (N - 1) ) * x[A].data\n",
|
|
"sample = model.decoder(code)\n",
|
|
"display_images(None, sample, N // 4, count=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"set_default(figsize=(15, 4))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"X, Y, E, losses = list(), list(), list(), list() # input, classes, embeddings\n",
|
|
"N = 1000 # samples per epoch\n",
|
|
"epochs = (0, 5, 10)\n",
|
|
"for epoch in epochs:\n",
|
|
" X.append(codes['μ'][epoch][:N])\n",
|
|
" E.append(TSNE(n_components=2).fit_transform(X[-1]))\n",
|
|
" Y.append(codes['y'][epoch][:N])\n",
|
|
" losses.append(codes['loss'][epoch][:N])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1500x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for i, epoch in enumerate(epochs):\n",
|
|
"\tplt.plot(losses[i], label=f\"{epoch}th epoch\")\n",
|
|
"plt.legend()\n",
|
|
"plt.title(\"Loss per epoch\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.colorbar.Colorbar at 0x1d2b8d23808>"
|
|
]
|
|
},
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1500x400 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"f, a = plt.subplots(ncols=3)\n",
|
|
"for i, e in enumerate(epochs):\n",
|
|
" s = a[i].scatter(E[i][:,0], E[i][:,1], c=Y[i], cmap='tab10')\n",
|
|
" a[i].grid(False)\n",
|
|
" a[i].set_title(f'Epoch {e}')\n",
|
|
" a[i].axis('equal')\n",
|
|
"f.colorbar(s, ax=a[:], ticks=np.arange(10), boundaries=np.arange(11) - .5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Variational Autoencoder with dense decoder"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from models import VAE_with_dense_decoder as VAE_ddm\n",
|
|
"from trainer import VAE_with_dense_decoder as VAE_ddt"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"d = 20\n",
|
|
"model_with_dense_decoder = VAE_ddm.Model(d=d, model=model).to(device)\n",
|
|
"\n",
|
|
"loss_function = VAE_ddm.loss_function(f=nn.functional.binary_cross_entropy, β=0)\n",
|
|
"\n",
|
|
"learning_rate = 1e-3\n",
|
|
"optimizer = VAE_ddm.optimizer(model_with_dense_decoder, learning_rate=learning_rate)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"====> Test set loss: 3.2647\t Accuracy rate: 2%\n",
|
|
"---\n",
|
|
"====> Epoch: 1 Average loss: 0.6177\t Accuracy rate: 89%\n",
|
|
"====> Test set loss: 0.2420\t Accuracy rate: 16%\n",
|
|
"---\n",
|
|
"====> Epoch: 2 Average loss: 0.2880\t Accuracy rate: 95%\n",
|
|
"====> Test set loss: 0.1803\t Accuracy rate: 16%\n",
|
|
"---\n",
|
|
"====> Epoch: 3 Average loss: 0.2422\t Accuracy rate: 96%\n",
|
|
"====> Test set loss: 0.1497\t Accuracy rate: 16%\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"epochs = 3\n",
|
|
"Trainer_with_dense_decoder = VAE_ddt.Trainer(model_with_dense_decoder, optimizer, loss_function, device, train_loader, test_loader, epochs = epochs)\n",
|
|
"codes_with_dense_decoder = Trainer_with_dense_decoder.train()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"tensor([5, 2, 0, 0, 9, 3, 8, 0, 6, 5, 5, 6, 5, 0, 5, 7])\n",
|
|
"tensor([5, 2, 0, 0, 9, 3, 8, 0, 6, 5, 5, 6, 5, 0, 5, 7], device='cuda:0')\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 1800x600 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
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"text/plain": [
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"<Figure size 1800x600 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1800x600 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1800x600 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"display_images(None, x, 4, count=True)\n",
|
|
"print(y)\n",
|
|
"y_hat = model_with_dense_decoder(x)[0]\n",
|
|
"print(torch.argmax(y_hat, dim=1))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"codes = codes_with_dense_decoder[1]\n",
|
|
"X, Y, E, losses, AR = list(), list(), list(), list(), list() # input, classes, embeddings\n",
|
|
"N = 1000 # samples per epoch\n",
|
|
"epochs = range(epochs)\n",
|
|
"for epoch in epochs:\n",
|
|
" X.append(codes['μ'][epoch][:N])\n",
|
|
" E.append(TSNE(n_components=2).fit_transform(X[-1]))\n",
|
|
" Y.append(codes['y'][epoch][:N])\n",
|
|
" losses.append(codes['loss'][epoch][:N])\n",
|
|
" AR.append(codes['AR'][epoch][:N])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1500x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for i, epoch in enumerate(epochs):\n",
|
|
"\tplt.plot(losses[i], label=f\"{epoch}th epoch\")\n",
|
|
"plt.legend()\n",
|
|
"plt.title(\"Loss per epoch\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1500x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for i, epoch in enumerate(epochs):\n",
|
|
"\tplt.plot(AR[i], label=f\"{epoch}th epoch\")\n",
|
|
"plt.legend()\n",
|
|
"plt.title(\"Accuracy per epoch\")\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"interpreter": {
|
|
"hash": "905fbff07f04ba78e3b93ef9539561fd1c6ae76c32e6111cf52f7c174132ed83"
|
|
},
|
|
"kernelspec": {
|
|
"display_name": "Python 3.7.9 64-bit ('3ma-stage': conda)",
|
|
"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": "3.7.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|