{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Deep Learning with PyTorch Step-by-Step: A Beginner's Guide" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 4" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from IPython.core.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [], "source": [ "try:\n", " import google.colab\n", " import requests\n", " url = 'https://raw.githubusercontent.com/dvgodoy/PyTorchStepByStep/master/config.py'\n", " r = requests.get(url, allow_redirects=True)\n", " open('config.py', 'wb').write(r.content) \n", "except ModuleNotFoundError:\n", " pass\n", "\n", "from config import *\n", "config_chapter4()\n", "# This is needed to render the plots in this chapter\n", "from plots.chapter4 import *" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [], "source": [ "import random\n", "import numpy as np\n", "from PIL import Image\n", "\n", "import torch\n", "import torch.optim as optim\n", "import torch.nn as nn\n", "import torch.nn.functional as F\n", "\n", "from torch.utils.data import DataLoader, Dataset, random_split, WeightedRandomSampler, SubsetRandomSampler\n", "from torchvision.transforms.v2 import Compose, ToTensor, Normalize, ToPILImage, RandomHorizontalFlip, Resize, ToImage, ToDtype\n", "\n", "import matplotlib.pyplot as plt\n", "plt.style.use('fivethirtyeight')\n", "%matplotlib inline\n", "\n", "from data_generation.image_classification import generate_dataset\n", "from stepbystep.v0 import StepByStep\n", "from plots.chapter4 import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Classifying Images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Generation" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "images, labels = generate_dataset(img_size=5, n_images=300, binary=True, seed=13)" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_images(images, labels, n_plot=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Images and Channels" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [], "source": [ "image_r = np.zeros((5, 5), dtype=np.uint8)\n", "image_r[:, 0] = 255\n", "image_r[:, 1] = 128\n", "\n", "image_g = np.zeros((5, 5), dtype=np.uint8)\n", "image_g[:, 1] = 128\n", "image_g[:, 2] = 255\n", "image_g[:, 3] = 128\n", "\n", "image_b = np.zeros((5, 5), dtype=np.uint8)\n", "image_b[:, 3] = 128\n", "image_b[:, 4] = 255" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [], "source": [ "image_gray = .2126*image_r + .7152*image_g + .0722*image_b" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "image_rgb = np.stack([image_r, image_g, image_b], axis=2)" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = image_channels(image_r, image_g, image_b, image_rgb, image_gray, rows=(0, 1))" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = image_channels(image_r, image_g, image_b, image_rgb, image_gray, rows=(0, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### NCHW vs NHWC" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 1, 5, 5)" ] }, "execution_count": 123, "metadata": {}, "output_type": "execute_result" } ], "source": [ "images.shape" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[ 0, 255, 0, 0, 0],\n", " [ 0, 0, 255, 0, 0],\n", " [ 0, 0, 0, 255, 0],\n", " [ 0, 0, 0, 0, 255],\n", " [ 0, 0, 0, 0, 0]]], dtype=uint8)" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" } ], "source": [ "example = images[7]\n", "example" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5, 5, 1)" ] }, "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ "example_hwc = np.transpose(example, (1, 2, 0))\n", "example_hwc.shape" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[ 0],\n", " [255],\n", " [ 0],\n", " [ 0],\n", " [ 0]],\n", "\n", " [[ 0],\n", " [ 0],\n", " [255],\n", " [ 0],\n", " [ 0]],\n", "\n", " [[ 0],\n", " [ 0],\n", " [ 0],\n", " [255],\n", " [ 0]],\n", "\n", " [[ 0],\n", " [ 0],\n", " [ 0],\n", " [ 0],\n", " [255]],\n", "\n", " [[ 0],\n", " [ 0],\n", " [ 0],\n", " [ 0],\n", " [ 0]]], dtype=uint8)" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" } ], "source": [ "example_hwc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Torchvision" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transforms" ] }, { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(Image([[[ 0, 255, 0, 0, 0],\n", " [ 0, 0, 255, 0, 0],\n", " [ 0, 0, 0, 255, 0],\n", " [ 0, 0, 0, 0, 255],\n", " [ 0, 0, 0, 0, 0]]], dtype=torch.uint8, ),\n", " torch.Size([1, 5, 5]))" ] }, "execution_count": 133, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image_tensor = ToImage()(example_hwc)\n", "image_tensor, image_tensor.shape" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ "isinstance(image_tensor, torch.Tensor)" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Image([[[0., 1., 0., 0., 0.],\n", " [0., 0., 1., 0., 0.],\n", " [0., 0., 0., 1., 0.],\n", " [0., 0., 0., 0., 1.],\n", " [0., 0., 0., 0., 0.]]], )" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], "source": [ "example_tensor = ToDtype(torch.float32, scale=True)(image_tensor)\n", "example_tensor" ] }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Image([[[0., 1., 0., 0., 0.],\n", " [0., 0., 1., 0., 0.],\n", " [0., 0., 0., 1., 0.],\n", " [0., 0., 0., 0., 1.],\n", " [0., 0., 0., 0., 0.]]], )" ] }, "execution_count": 134, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def ToTensor():\n", " return Compose([ToImage(), ToDtype(torch.float32, scale=True)])\n", "\n", "tensorizer = ToTensor()\n", "example_tensor = tensorizer(example_hwc)\n", "example_tensor" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "example_img = ToPILImage()(example_tensor)\n", "print(type(example_img))" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(example_img, cmap='gray')\n", "plt.grid(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transforms on Images" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "flipper = RandomHorizontalFlip(p=1.0)\n", "flipped_img = flipper(example_img)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(flipped_img, cmap='gray')\n", "plt.grid(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tensor-only Transforms" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Image([[[0., 0., 0., 1., 0.],\n", " [0., 0., 1., 0., 0.],\n", " [0., 1., 0., 0., 0.],\n", " [1., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 0.]]], )" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "img_tensor = tensorizer(flipped_img)\n", "img_tensor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Normalize Transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large\n", "\\begin{aligned}\n", "\\text{input} = 0 \\implies \\frac{0 - \\text{mean}}{\\text{std}}= \\frac{0 - 0.5}{0.5}&=-1\n", "\\\\\n", "\\text{input} = 1 \\implies \\frac{1 - \\text{mean}}{\\text{std}}= \\frac{1 - 0.5}{0.5}&=1\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Image([[[-1., -1., -1., 1., -1.],\n", " [-1., -1., 1., -1., -1.],\n", " [-1., 1., -1., -1., -1.],\n", " [ 1., -1., -1., -1., -1.],\n", " [-1., -1., -1., -1., -1.]]], )" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normalizer = Normalize(mean=(.5,), std=(.5,))\n", "normalized_tensor = normalizer(img_tensor)\n", "normalized_tensor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Composing Transforms" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "composer = Compose([RandomHorizontalFlip(p=1.0),\n", " Normalize(mean=(.5,), std=(.5,))])" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(True)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "composed_tensor = composer(example_tensor)\n", "(composed_tensor == normalized_tensor).all()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[[ 0 255 0 0 0]\n", " [ 0 0 255 0 0]\n", " [ 0 0 0 255 0]\n", " [ 0 0 0 0 255]\n", " [ 0 0 0 0 0]]]\n", "Image([[[0., 1., 0., 0., 0.],\n", " [0., 0., 1., 0., 0.],\n", " [0., 0., 0., 1., 0.],\n", " [0., 0., 0., 0., 1.],\n", " [0., 0., 0., 0., 0.]]], )\n" ] } ], "source": [ "print(example)\n", "print(example_tensor)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "example_tensor = torch.as_tensor(example / 255).float()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Preparation" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "# Builds tensors from numpy arrays BEFORE split\n", "x_tensor = torch.as_tensor(images / 255).float()\n", "y_tensor = torch.as_tensor(labels.reshape(-1, 1)).float()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dataset Transforms" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "class TransformedTensorDataset(Dataset):\n", " def __init__(self, x, y, transform=None):\n", " self.x = x\n", " self.y = y\n", " self.transform = transform\n", " \n", " def __getitem__(self, index):\n", " x = self.x[index]\n", " \n", " if self.transform:\n", " x = self.transform(x)\n", " \n", " return x, self.y[index]\n", " \n", " def __len__(self):\n", " return len(self.x)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "composer = Compose([RandomHorizontalFlip(p=0.5),\n", " Normalize(mean=(.5,), std=(.5,))])\n", "\n", "dataset = TransformedTensorDataset(x_tensor, y_tensor, transform=composer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SubsetRandomSampler" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Helper Function #4" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "def index_splitter(n, splits, seed=13):\n", " idx = torch.arange(n)\n", " # Makes the split argument a tensor\n", " splits_tensor = torch.as_tensor(splits)\n", " total = splits_tensor.sum().float()\n", " # If the total does not add up to one\n", " # divide every number by the total\n", " if not total.isclose(torch.ones(1)[0]):\n", " splits_tensor = splits_tensor / total\n", " # Uses PyTorch random_split to split the indices\n", " torch.manual_seed(seed)\n", " return random_split(idx, splits_tensor)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_idx, val_idx = index_splitter(len(x_tensor), [80, 20])\n", "train_idx" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[118,\n", " 170,\n", " 148,\n", " 239,\n", " 226,\n", " 146,\n", " 168,\n", " 195,\n", " 6,\n", " 180,\n", " 157,\n", " 2,\n", " 160,\n", " 66,\n", " 46,\n", " 276,\n", " 126,\n", " 212,\n", " 119,\n", " 77,\n", " 53,\n", " 237,\n", " 252,\n", " 202,\n", " 200,\n", " 289,\n", " 135,\n", " 186,\n", " 231,\n", " 211,\n", " 35,\n", " 293,\n", " 229,\n", " 265,\n", " 256,\n", " 134,\n", " 191,\n", " 214,\n", " 8,\n", " 83,\n", " 150,\n", " 190,\n", " 208,\n", " 209,\n", " 275,\n", " 60,\n", " 295,\n", " 142,\n", " 251,\n", " 176,\n", " 260,\n", " 3,\n", " 31,\n", " 0,\n", " 137,\n", " 20,\n", " 81,\n", " 287,\n", " 181,\n", " 129,\n", " 166,\n", " 97,\n", " 110,\n", " 206,\n", " 267,\n", " 241,\n", " 109,\n", " 177,\n", " 27,\n", " 52,\n", " 43,\n", " 245,\n", " 247,\n", " 141,\n", " 68,\n", " 131,\n", " 217,\n", " 78,\n", " 185,\n", " 49,\n", " 96,\n", " 14,\n", " 111,\n", " 234,\n", " 284,\n", " 263,\n", " 269,\n", " 101,\n", " 32,\n", " 285,\n", " 79,\n", " 297,\n", " 94,\n", " 85,\n", " 11,\n", " 5,\n", " 80,\n", " 165,\n", " 183,\n", " 4,\n", " 33,\n", " 100,\n", " 73,\n", " 235,\n", " 277,\n", " 16,\n", " 144,\n", " 132,\n", " 167,\n", " 130,\n", " 45,\n", " 48,\n", " 201,\n", " 99,\n", " 34,\n", " 138,\n", " 178,\n", " 244,\n", " 225,\n", " 173,\n", " 95,\n", " 22,\n", " 197,\n", " 174,\n", " 90,\n", " 223,\n", " 274,\n", " 92,\n", " 279,\n", " 19,\n", " 74,\n", " 28,\n", " 162,\n", " 133,\n", " 151,\n", " 37,\n", " 299,\n", " 18,\n", " 203,\n", " 13,\n", " 156,\n", " 268,\n", " 259,\n", " 116,\n", " 70,\n", " 71,\n", " 230,\n", " 108,\n", " 238,\n", " 47,\n", " 163,\n", " 30,\n", " 188,\n", " 64,\n", " 216,\n", " 121,\n", " 187,\n", " 72,\n", " 221,\n", " 258,\n", " 44,\n", " 179,\n", " 272,\n", " 159,\n", " 253,\n", " 280,\n", " 140,\n", " 120,\n", " 62,\n", " 271,\n", " 57,\n", " 1,\n", " 149,\n", " 9,\n", " 29,\n", " 194,\n", " 158,\n", " 115,\n", " 198,\n", " 294,\n", " 17,\n", " 155,\n", " 240,\n", " 21,\n", " 12,\n", " 106,\n", " 182,\n", " 281,\n", " 123,\n", " 189,\n", " 122,\n", " 65,\n", " 175,\n", " 91,\n", " 87,\n", " 257,\n", " 89,\n", " 15,\n", " 152,\n", " 147,\n", " 218,\n", " 25,\n", " 278,\n", " 41,\n", " 112,\n", " 139,\n", " 145,\n", " 117,\n", " 246,\n", " 233,\n", " 282,\n", " 105,\n", " 184,\n", " 228,\n", " 63,\n", " 232,\n", " 114,\n", " 266,\n", " 298,\n", " 262,\n", " 296,\n", " 205,\n", " 125,\n", " 61,\n", " 196,\n", " 290,\n", " 261,\n", " 84,\n", " 67,\n", " 38,\n", " 204,\n", " 248,\n", " 51,\n", " 219,\n", " 113,\n", " 75,\n", " 164,\n", " 222,\n", " 10,\n", " 161]" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_idx.indices" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "train_sampler = SubsetRandomSampler(train_idx)\n", "val_sampler = SubsetRandomSampler(val_idx)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "# Builds a loader of each set\n", "train_loader = DataLoader(dataset=dataset, batch_size=16, sampler=train_sampler)\n", "val_loader = DataLoader(dataset=dataset, batch_size=16, sampler=val_sampler)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(15, 4)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(iter(train_loader)), len(iter(val_loader))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Augmentation Transformations" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "x_train_tensor = x_tensor[train_idx]\n", "y_train_tensor = y_tensor[train_idx]\n", "\n", "x_val_tensor = x_tensor[val_idx]\n", "y_val_tensor = y_tensor[val_idx]" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "train_composer = Compose([RandomHorizontalFlip(p=.5),\n", " Normalize(mean=(.5,), std=(.5,))])\n", "\n", "val_composer = Compose([Normalize(mean=(.5,), std=(.5,))])" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "train_dataset = TransformedTensorDataset(x_train_tensor, y_train_tensor, transform=train_composer)\n", "val_dataset = TransformedTensorDataset(x_val_tensor, y_val_tensor, transform=val_composer)\n", "\n", "# Builds a loader of each set\n", "train_loader = DataLoader(dataset=train_dataset, batch_size=16, shuffle=True)\n", "val_loader = DataLoader(dataset=val_dataset, batch_size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### WeightedRandomSampler" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([0., 1.]) tensor([ 80, 160])\n" ] } ], "source": [ "classes, counts = y_train_tensor.unique(return_counts=True)\n", "print(classes, counts)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "tensor([0.0125, 0.0063])" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weights = 1.0 / counts.float()\n", "weights" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([240])\n", "tensor([0.0063, 0.0063, 0.0063, 0.0063, 0.0063, 0.0125, 0.0063, 0.0063, 0.0063,\n", " 0.0063])\n", "tensor([1., 1., 1., 1., 1., 0., 1., 1., 1., 1.])\n" ] } ], "source": [ "sample_weights = weights[y_train_tensor.squeeze().long()]\n", "\n", "print(sample_weights.shape)\n", "print(sample_weights[:10])\n", "print(y_train_tensor[:10].squeeze())" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "generator = torch.Generator()\n", "\n", "sampler = WeightedRandomSampler(\n", " weights=sample_weights,\n", " num_samples=len(sample_weights),\n", " generator=generator,\n", " replacement=True\n", ")" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "train_loader = DataLoader(dataset=train_dataset, batch_size=16, sampler=sampler)\n", "val_loader = DataLoader(dataset=val_dataset, batch_size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Helper Function #5" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "def make_balanced_sampler(y):\n", " # Computes weights for compensating imbalanced classes\n", " classes, counts = y.unique(return_counts=True)\n", " weights = 1.0 / counts.float()\n", " sample_weights = weights[y.squeeze().long()]\n", " # Builds sampler with compute weights\n", " generator = torch.Generator()\n", " sampler = WeightedRandomSampler(\n", " weights=sample_weights,\n", " num_samples=len(sample_weights),\n", " generator=generator,\n", " replacement=True\n", " )\n", " return sampler" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "sampler = make_balanced_sampler(y_train_tensor)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Seeds and more (seeds)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "train_loader.sampler.generator.manual_seed(42)\n", "random.seed(42)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(123.)" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "torch.tensor([t[1].sum() for t in iter(train_loader)]).sum()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "def set_seed(self, seed=42):\n", " torch.backends.cudnn.deterministic = True\n", " torch.backends.cudnn.benchmark = False \n", " torch.manual_seed(seed)\n", " np.random.seed(seed)\n", " random.seed(seed)\n", " try:\n", " self.train_loader.sampler.generator.manual_seed(seed)\n", " except AttributeError:\n", " pass\n", " \n", "setattr(StepByStep, 'set_seed', set_seed)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Putting It Together" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "# Builds tensors from numpy arrays BEFORE split\n", "# Modifies the scale of pixel values from [0, 255] to [0, 1]\n", "x_tensor = torch.as_tensor(images / 255).float()\n", "y_tensor = torch.as_tensor(labels.reshape(-1, 1)).float()\n", "\n", "# Uses index_splitter to generate indices for training and\n", "# validation sets\n", "train_idx, val_idx = index_splitter(len(x_tensor), [80, 20])\n", "\n", "# Uses indices to perform the split\n", "x_train_tensor = x_tensor[train_idx]\n", "y_train_tensor = y_tensor[train_idx]\n", "x_val_tensor = x_tensor[val_idx]\n", "y_val_tensor = y_tensor[val_idx]\n", "\n", "# Builds different composers because of data augmentation on training set\n", "train_composer = Compose([RandomHorizontalFlip(p=.5),\n", " Normalize(mean=(.5,), std=(.5,))])\n", "val_composer = Compose([Normalize(mean=(.5,), std=(.5,))])\n", "# Uses custom dataset to apply composed transforms to each set\n", "train_dataset = TransformedTensorDataset(x_train_tensor, y_train_tensor, transform=train_composer)\n", "val_dataset = TransformedTensorDataset(x_val_tensor, y_val_tensor, transform=val_composer)\n", "\n", "# Builds a weighted random sampler to handle imbalanced classes\n", "sampler = make_balanced_sampler(y_train_tensor)\n", "\n", "# Uses sampler in the training set to get a balanced data loader\n", "train_loader = DataLoader(dataset=train_dataset, batch_size=16, sampler=sampler)\n", "val_loader = DataLoader(dataset=val_dataset, batch_size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pixels as Features" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([16, 1, 5, 5])" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_xs, dummy_ys = next(iter(train_loader))\n", "dummy_xs.shape" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([16, 25])\n", "tensor([-1., -1., -1., 1., -1., -1., -1., -1., 1., -1., -1., -1., -1., 1.,\n", " -1., -1., -1., -1., 1., -1., -1., -1., -1., 1., -1.])\n" ] } ], "source": [ "flattener = nn.Flatten()\n", "dummy_xs_flat = flattener(dummy_xs)\n", "\n", "print(dummy_xs_flat.shape)\n", "print(dummy_xs_flat[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Shallow Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large \\text{P}(y=1) = \\sigma(z) = \\sigma(w_0x_0+w_1x_1+\\cdots+w_{24}x_{24})\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/classification.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large W =\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "w_0 \\\\\n", "w_1 \\\\\n", "\\vdots \\\\\n", "w_{24}\n", "\\end{bmatrix}};\n", "X = \n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "x_1 \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large \n", "\\begin{aligned}\n", "z\n", "& = W^T \\cdot X \n", "=\\underset{(1 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T} & -\\\\\n", "\\end{bmatrix}}\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "x_1 \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}} \n", "=\n", "\\underset{(1 \\times 25)}{\n", "\\begin{bmatrix}\n", "w_0 & w_1 & \\cdots & w_{24}\n", "\\end{bmatrix}}\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "x_1 \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "\\\\\n", "& = w_0x_0 + w_1x_1 + \\cdots + w_{24}x_{24}\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Configuration" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n", "lr = 0.1\n", "\n", "torch.manual_seed(17)\n", "# Now we can create a model\n", "model_logistic = nn.Sequential()\n", "model_logistic.add_module('flatten', nn.Flatten())\n", "model_logistic.add_module('output', nn.Linear(25, 1, bias=False))\n", "model_logistic.add_module('sigmoid', nn.Sigmoid())\n", "\n", "# Defines a SGD optimizer to update the parameters \n", "optimizer_logistic = optim.SGD(model_logistic.parameters(), lr=lr)\n", "\n", "# Defines a binary cross entropy loss function\n", "binary_loss_fn = nn.BCELoss()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Training" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "n_epochs = 100\n", "\n", "sbs_logistic = StepByStep(model_logistic, binary_loss_fn, optimizer_logistic)\n", "sbs_logistic.set_loaders(train_loader, val_loader)\n", "sbs_logistic.train(n_epochs)" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = sbs_logistic.plot_losses()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deep-ish Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/classification_equiv.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Configuration" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n", "lr = 0.1\n", "\n", "torch.manual_seed(17)\n", "# Now we can create a model\n", "model_nn = nn.Sequential()\n", "model_nn.add_module('flatten', nn.Flatten())\n", "model_nn.add_module('hidden0', nn.Linear(25, 5, bias=False))\n", "model_nn.add_module('hidden1', nn.Linear(5, 3, bias=False))\n", "model_nn.add_module('output', nn.Linear(3, 1, bias=False))\n", "model_nn.add_module('sigmoid', nn.Sigmoid())\n", "\n", "# Defines a SGD optimizer to update the parameters \n", "optimizer_nn = optim.SGD(model_nn.parameters(), lr=lr)\n", "\n", "# Defines a binary cross entropy loss function\n", "binary_loss_fn = nn.BCELoss()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Training" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "n_epochs = 100\n", "\n", "sbs_nn = StepByStep(model_nn, binary_loss_fn, optimizer_nn)\n", "sbs_nn.set_loaders(train_loader, val_loader)\n", "sbs_nn.train(n_epochs)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = sbs_nn.plot_losses()" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure5(sbs_logistic, sbs_nn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Show Me the Math!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\large\n", "\\begin{array}{rcccccccccccc}\n", "\\text{Hidden}\\ \\#0 & & & & & & & &\n", "\\underset{(5 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{00} \\\\\n", "z_{01} \\\\\n", "z_{02} \\\\\n", "z_{03} \\\\\n", "z_{04} \\\\\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(5 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{00} & -\\\\\n", "- & w^{T}_{01} & -\\\\\n", "- & w^{T}_{02} & -\\\\\n", "- & w^{T}_{03} & -\\\\\n", "- & w^{T}_{04} & -\n", "\\end{bmatrix}}\n", "&\n", "&\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "\\vdots \\\\\n", "x_{11} \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "\\\\\n", "\\text{Hidden}\\ \\#1 & & & &\n", "\\underset{(3 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{10} \\\\\n", "z_{11} \\\\\n", "z_{12} \\\\\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(3 \\times 5)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{10} & -\\\\\n", "- & w^{T}_{11} & -\\\\\n", "- & w^{T}_{12} & -\\\\\n", "\\end{bmatrix}}\n", "&\n", "&\n", "\\underset{(5 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{00} \\\\\n", "z_{01} \\\\\n", "z_{02} \\\\\n", "z_{03} \\\\\n", "z_{04} \\\\\n", "\\end{bmatrix}}\n", "\\\\\n", "\\text{Output} &\n", "\\underset{(1 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{2}\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(1 \\times 3)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{20} & -\\\\\n", "\\end{bmatrix}}\n", "&\n", "\\underset{(3 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{10} \\\\\n", "z_{11} \\\\\n", "z_{12} \\\\\n", "\\end{bmatrix}}\n", "\\\\\n", "\\hline\n", "\\text{substituting } z's... &\n", "\\underset{(1 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{2}\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underbrace{\n", "\\underset{(1 \\times 3)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{20} & -\\\\\n", "\\end{bmatrix}}}_{\\text{Output Layer}}\n", "&\n", "& &\n", "\\underbrace{\n", "\\underset{(3 \\times 5)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{10} & -\\\\\n", "- & w^{T}_{11} & -\\\\\n", "- & w^{T}_{12} & -\\\\\n", "\\end{bmatrix}}}_{\\text{Hidden Layer #1}}\n", "& &\n", "& &\n", "\\underbrace{\n", "\\underset{(5 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{00} & -\\\\\n", "- & w^{T}_{01} & -\\\\\n", "- & w^{T}_{02} & -\\\\\n", "- & w^{T}_{03} & -\\\\\n", "- & w^{T}_{04} & -\n", "\\end{bmatrix}}}_{\\text{Hidden Layer #0}}\n", "&\n", "&\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "\\vdots \\\\\n", "x_{11} \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "\\\\\n", "\\text{multiplying...} & &\n", "=\n", "&\n", "\\underbrace{\n", "\\underset{(1 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T} & -\\\\\n", "\\end{bmatrix}}}_{\\text{Matrices Multiplied}}\n", "&\n", "& & & & & & & &\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "\\vdots \\\\\n", "x_{11} \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "\\end{array}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Show Me the Code!" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(torch.Size([5, 25]), torch.Size([3, 5]), torch.Size([1, 3]))" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w_nn_hidden0 = model_nn.hidden0.weight.detach()\n", "w_nn_hidden1 = model_nn.hidden1.weight.detach()\n", "w_nn_output = model_nn.output.weight.detach()\n", "\n", "w_nn_hidden0.shape, w_nn_hidden1.shape, w_nn_output.shape" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([1, 25])" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w_nn_equiv = w_nn_output @ w_nn_hidden1 @ w_nn_hidden0\n", "w_nn_equiv.shape" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "w_nn_equiv = w_nn_output.mm(w_nn_hidden1.mm(w_nn_hidden0))" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([1, 25])" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w_logistic_output = model_logistic.output.weight.detach()\n", "\n", "w_logistic_output.shape" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = weights_comparison(w_logistic_output, w_nn_equiv)" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "def count_parameters(self):\n", " return sum(p.numel() for p in self.model.parameters() if p.requires_grad)\n", "\n", "setattr(StepByStep, 'count_parameters', count_parameters)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(25, 143)" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sbs_logistic.count_parameters(), sbs_nn.count_parameters()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Weights as Pixels" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([5, 25])" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w_nn_hidden0.shape" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure7(w_nn_hidden0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Activation Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sigmoid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large \\sigma(z) = \\frac{1}{1 + e^{-z}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dvgodoy/projects/PyTorchStepByStep/plots/chapter4.py:175: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n", " fig.show()\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_activation(torch.sigmoid)" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0.0474, 0.5000, 0.9526])" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z = torch.tensor([-3., 0., 3.])\n", "torch.sigmoid(dummy_z)" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0.0474, 0.5000, 0.9526])" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn.Sigmoid()(dummy_z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hyperbolic Tangent (Tanh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large \\sigma(z) = \\frac{e^z - e^{-z}}{e^z + e^{-z}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_activation(torch.tanh)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([-0.9951, 0.0000, 0.9951])" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z = torch.tensor([-3., 0., 3.])\n", "torch.tanh(dummy_z)" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([-0.9951, 0.0000, 0.9951])" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn.Tanh()(dummy_z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rectified Linear Unit (ReLU)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large\n", "\\begin{aligned}\n", "\\sigma(z) &=\n", "\\begin{cases}\n", "z,\\ \\text{if } z \\ge 0\n", "\\\\\n", "0,\\ \\text{if } z < 0\n", "\\end{cases}\n", "\\\\\n", "& \\text{or}\n", "\\\\\n", "\\sigma(z) &= \\text{max}(0, z)\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_activation(torch.relu)" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0., 0., 3.])" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z = torch.tensor([-3., 0., 3.])\n", "F.relu(dummy_z)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0., 0., 3.])" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn.ReLU()(dummy_z)" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0., 0., 3.])" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z.clamp(min=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Leaky ReLU" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large\n", "\\begin{aligned}\n", "\\sigma(z) =&\n", "\\begin{cases}\n", "z,\\ \\text{if } z \\ge 0\n", "\\\\\n", "0.01z,\\ \\text{if } z < 0\n", "\\end{cases}\n", "\\\\\n", "\\text{or}&\n", "\\\\\n", "\\sigma(z)=&\\text{max}(0,z)+0.01\\ \\text{min}(0,z)\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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QQkKC3XrHjh01efLkdBkQJEICUki3bt3k4+OjwoULOzzB51GNHTtWPj4+2rVrVzJ19/R8fHwUGBhodBsAACAFrFmzRp06dVJiYqLd+ltvvaWJEyem24AgccdlpICbN29q3bp1cnFx0bVr1xQVFaWGDRum2PZmzZrl8FrFRihfvrz279+vnDlzGt0KAAB4TKtXr1bnzp1lsVjs1jt37qyxY8em+8uLp9/4A8OsXbtWMTEx6tq1q1xdXbV48eIU3Z6fn5+KFy+eott4HJkzZ1bx4sUJCQAApDErV658YEDo2rWrKQKCxEyCU9WuXfuxn2O1WmW1WuXi4pKi/yC3bNmSbOtavHixMmTIoF69eunHH3/Ujh079Pvvv8vf3/++Zb/++mtNnz5d3377ra5fv67cuXOrbNmy6tatmypVqqQGDRpo7969kqTg4OCk5/n5+enIkSOS/j4n4euvv1Z0dLQkacWKFerSpYsGDhyo/v3737fNgwcPqmbNmmrSpIk+++wzSdLOnTu1cuVKffPNN/rzzz8lScWKFVP79u3Vvn37pOfu2rUrqY+vv/7a5lyI6dOnq1WrVknL9O/fXwMHDrTZ9tGjR/Xxxx9r9+7dunHjhvLmzau6deuqX79+ypEjh82yFSpUkIuLi/bu3asRI0Zo/fr1unr1qp599ln1799fISEhj/J2AACAR7Bs2TJ169ZNVqvVbr1Hjx4aPny4KQKCREhwqm+//dboFlLcsWPH9O2336pOnTrKkyePmjdvrh07dmjp0qX37TDPnDlTgwYNUqZMmRQUFKQCBQro/Pnz2rdvn9avX69KlSqpWbNmcnV11ddff60WLVokBY1s2bI57CE4OFjvvfeeVq9ebTckrFy5UtLfNz2559NPP9XJkydVsWJF5cuXT9evX9fWrVvVu3dv/frrrxo1apQkyd/fX/3799e4cePk5+enli1bJq2jVKlSD3xt9u7dq0aNGikuLk4hISHy9/fX/v37NWvWLG3atElbt269b/YhISFBDRs2VHR0tIKDg3Xnzh2tWbNG7du3V3h4uF599dUHbhMAADzc4sWL1bNnT4cBoXfv3vroo49MExAkQgKS2b1Di+7tgAcHB6tv375aunSp+vfvn3SCz5EjRzR48GDlzZtXGzduVMGCBZPWYbVadeHCBUlS8+bNdf78eX399ddq2bKlqlWr9tAesmTJosDAQK1atUrfffedypcvn1RLTExUeHi4fH199corryQ9PnHiRBUqVMhmPQkJCWrSpIlmzZqlLl26yM/PTwULFtTAgQM1btw4+fv73xd8HLFYLOratatu376t8PBw1apVK6k2ZMgQTZkyRR999JGmTZtm87w///xTZcuW1YYNG+Th4SHp71u+h4SEaPr06YQEAACe0sKFC9WrVy+H9ffee08ffPCBqQKCxDkJSEbx8fFauXKlvL29k6784+XlpcDAQJ07d07bt29PWnbBggWyWCwaPHiwTUCQJBcXFz3zzDNP1Uvz5s0l/W/W4J5t27bp0qVLatiwoc1NT/4dECQpQ4YM6tChgxITE5/6ykr79u3TqVOnVLt2bZuAIEn9+vVT9uzZFRYWZvdOjqNHj04KCJJUo0YN+fn56fvvv3+qngAAMLt58+Y9MCC8//77pgwIEiEByeiLL77Q5cuXFRISIk9Pz6THW7RoIUk2JzB/9913kpRi34TXqFFDefPm1Zo1a2yub7xq1SpJtocaSX9fkWn06NGqWrWq8ufPLx8fH/n4+Kht27aSlDSz8aQOHz4sSXr55Zfvq3l5eals2bKKjY3Vr7/+alPLli2b3QCTP39+Xb9+/al6AgDAzD777DP16dPHYX3AgAEaPHiwKQOCxOFGTlWxYsXHfo6zTlxODvdCwL1v8e+pUaOG8uXLpy+++ELXrl1T9uzZdePGDbm4uChv3rwp0oubm5saN26sadOm6auvvtLrr7+uW7duKSoqSiVKlFCZMmWSlo2Li1NQUJAOHTqk0qVLq1mzZsqRI4fc3Nz0+++/a/ny5U99r4ebN29KknLnzm237uvra7PcPd7e3g7H5+jKCwAA4MFmz55t97zFewYPHqz333/fiR2lPoQEJ3qSKwhZLBbFxcXJw8MjVd+w49y5c9q2bZskPfAmYytXrlSXLl2ULVu2pHMP8uXLlyI9NWvWTNOmTdOqVav0+uuvKyIiQrdv375vFuGLL77QoUOH1KZNG02dOtWmFh4eruXLlz91L1mzZpUk/fXXX3brly5dslkOAACkjBkzZmjQoEEO60OGDHngDINZEBKQLJYtWyaLxaLKlSvr2Wefva+ekJCg5cuXa/HixerSpYvKly+vH374Qdu2bVPr1q0fuO575w487jfnpUqVUkBAgL744gvdvHlTq1atkouLi5o0aWKz3KlTpyRJdevWvW8d9y6/+m+urq6P1U/p0qUlSbt3777v2MeYmBj98MMPypQpk4oVK/bI6wQAAI9n6tSp+vDDDx3Whw0b9sBzFMyEkICnZrVatXTpUrm4uGjmzJl2j6GXpBMnTmj//v364Ycf1KFDB82fP1+jRo1S9erVbe6hcG+G4d4hONmzZ5f092zF42revLmGDBmi2bNna+fOnapataoKFChgs4yfn5+kv08ufvPNN5Me3717txYuXGh3vdmzZ9cff/zxyH289NJLKly4sLZs2aLt27erZs2aSbUJEybo6tWrat26tc0JygAAIPl8+umn+uijjxzWR4wYoR49ejixo9SNkICntnPnTp05c0ZVq1Z1GBAkqVWrVtq/f78WL16sSZMmacyYMerfv78qV66swMBA+fn56eLFi9qzZ4/q1Kmj0aNHS/r7ZF8XFxeNGDFCx44dk7e3t7Jly6Z33nnnob01btxYQ4cO1bhx42SxWO471EiS3njjDfn7++vTTz/Vzz//rOeff16//vqrNm3apKCgIK1fv/6+51SvXl1r165Vy5YtVbp0abm5uenNN9/UCy+8YLcPV1dXzZgxQ40aNVKTJk1Uv359+fn5af/+/dq9e7cKFy6soUOHPnQ8AADg8U2aNEnDhw93WB81apS6devmxI5SP0ICntq9E5b/eWMxexo0aKABAwYoLCxMo0aN0jvvvKPnn39e06ZN05YtWxQTE6PcuXOrfPnyatCgQdLzSpQooenTp2vatGmaM2eO7t69Kz8/v0cKCfny5VP16tW1fft2eXp62r1LsZeXlyIiIjRkyBDt2bNHu3fvVokSJfTZZ58pd+7cdkPC2LFjJf0dkDZu3CiLxaJ8+fI5DAmSVLlyZW3ZskUff/yxtm3blnTH5S5duuj999+/70ZqAADg6X388cdJXzzaM3bsWHXp0sWJHaUNLtHR0fZvLYfH9tdffzm8es2TSisnLqcExp68Y0+Jf58pITY2VmfPnpWfn5/NpXTNwMxjl8w9fsbO2Bl7yhg7dmzSF3v2jB8/Xm+//XaKbd+etPK+M5MAAACAdMVqtWr06NEaP368w2UmT56sDh06OLGrtIWQAAAAgHTDarVq5MiRmjhxosNlPv30U7Vr186JXaU9hAQAAACkC1arVcOGDdMnn3xit+7i4qIpU6aoTZs2zm0sDSIkAAAAIM2zWq0aMmTIfTdGvcfFxUXTp09/6IVW8DdCAgAAANI0q9WqQYMGaebMmXbr9y5F3rx5cyd3lnYREgAAAJBmWa1WDRgwQLNnz7Zbd3V11ezZs9WkSRMnd5a2ERIAAACQJlmtVvXr10+fffaZ3bqbm5s+++wzNWzY0MmdpX2EBAAAAKQ5FotFffv21bx58+zW3dzcNHfuXNWvX9+5jaUThAQAAACkKRaLRe+++64WLlxot54hQwbNmzdP9erVc3Jn6QchAQAAAGmGxWJRr169tHjxYrt1d3d3zZ8/X0FBQU7uLH0hJAAAACBNSExMVI8ePbRs2TK7dXd3dy1atEhvvvmmkztLfwgJAAAASPUSExPVtWtXrVy50m7dw8NDixcv1uuvv+7kztInQgIAAABStYSEBIWGhmr16tV26xkzZtSSJUtUu3ZtJ3eWfrka3QDgTD4+PgoMDLR5LDQ0VD4+Pjpz5oxBXQEAAEcSEhLUuXNnhwHB09NTy5cvJyAkM0ICkt3hw4f17rvvqlKlSvLz81Pu3LlVvHhx1a9fX1OnTtXly5eNbjFVsBdYAADA/8THx+utt95SeHi43XqmTJm0YsUKvfrqq07uLP0jJCDZWCwWffDBB6pevboWLVqkPHnyqFWrVurZs6feeOMNXbx4UR9++KFefPFFnT9/3uh2k3z00Ufav3+/8uXLZ3QrAADgv+Lj49WpUyetW7fObv1eQKhZs6ZT+zILzklAshkxYoSmTZumF198UfPnz1eRIkXuW+bgwYMaOnSoYmNjDejQvrx58ypv3rxGtwEAAP4rLi5OHTp0UFRUlN165syZtWrVKr388stO7sw8CAlOlOVJjpWzWmWxWuXq4iK5uCR/U/8Vs2XLUz3/t99+05QpU5QrVy6Fh4crV65cdpcrU6aM1q1bp4SEBEnSmTNn9OKLL6pFixbq3bu3hg8frj179ujatWs6ePCg8ubNqw0bNmj9+vX6/vvvdeHCBbm7u6tkyZLq0qWLQkJC7G5n0aJFmjlzpk6ePKlcuXKpUaNGGjRokN1lQ0NDtXz5ch06dEgFCxa0qX399deaMmWKvv32W926dUsFChRQw4YN1adPH2XOnDlpuV27dik4OFj9+/fXG2+8oWHDhunAgQNydXVVtWrVNHr06KR131v23vp9fHyS1jN9+nS1atXq0V50AADSobt376pdu3bauHGj3XqWLFm0evVqValSxcmdmQshwYkyfPut0S2kmOXLlysxMVHt27d3GBD+KUMG2396p06dUu3atRUQEKCWLVvq6tWrcnd3l/T3DIW7u7teeukl5c2bV5cvX9aXX36pdu3aady4cercubPNuj7++GONHj1aefLkUdu2beXu7q41a9bol19+eawxzZ07V3379lW2bNn0xhtvKHfu3Prhhx80YcIE7dq1S5GRkfLw8LB5zg8//KApU6aoWrVqat++vQ4fPqyoqCgdPXpUe/fulaenp/z9/dW/f3+NGzdOfn5+atmyZdLzS5Uq9Vg9AgCQnsTGxqpdu3batGmT3bqXl5fCwsL00ksvObkz8yEkIFns379fklStWrUnev6+ffvUr18/m2/7LRaL4uLitHLlyvsOXbp165bq1KmjUaNGqU2bNknf6p88eVIff/yx8uXLpx07dih37tySpAEDBqhWrVqP3M+xY8fUv39/lSxZUhEREcqRI0dSbfLkyRo2bJhmz56tHj162Dxv8+bNmjdvnho2bJj0WOfOnbVy5UpFRUWpUaNGKliwoAYOHKhx48bJ399fAwcOfPQXCgCAdCo2NlatW7fW1q1b7dazZs2q8PBw/ec//3FyZ+bEictIFpcuXZIkPfPMM/fVdu3apTFjxtj82rVrl80yvr6+6tu3r911FypU6L7HvLy81LJlS924cUPff/990uOrV69WQkKCunbtmhQQJMnb29vh+u2ZP3++EhIS9PHHH9sEBEnq1atX0mFV/1alShWbgCBJrVu3liSbPgEAwP/cuXNHLVu2dBgQvL29tXbtWgKCEzGTgBS3e/dujRs37r7H/znr8MILL9x36M49f/31lz799FNt3bpVZ8+e1Z07d2zqFy5cSPrzjz/+KEl2j1OsXLnyI/d84MABSdK2bdu0Y8eO++ru7u769ddf73u8TJky9z2WP39+SdL169cfefsAAJjF7du31bJlS23fvt1uPVu2bFq7dq3KlSvn3MZMjpDgRAkVKz7+k5x04vLTyp07t3755Rf9+eefKl68uE1t4MCBSYfUhIeHq1OnTnafb8+1a9dUu3ZtnTt3Ti+99JJq1KihbNmyyc3NTUeOHNEXX3yhu3fvJi1/48YNSbJ7XkSePHkeeTzXrl2TJE2YMOGRnyP9PRX6b25ubpL+vp08AAD4n5iYGHXo0EE7d+60W/fx8dG6devsfgmHlGXqkPDJJ59o6NChkqQtW7ao4pPsxD+GJ7mC0L3j8j08POTqmnqPDqtUqZJ2796tXbt2qUaNGo/9fBcHAWjZsmU6d+6cBg8erPfff9+mNnnyZH3xxRc2j3l7e0uSLl++LH9/f5vavUOiHsW9nf2zZ8/a3fEHAABP5/bt2+rVq5f27Nljt549e3atW7dOL774opM7g2TicxKOHj2qMWPGKEuWLEa3ki60aNFCrq6uWrhwoa5cuZJs6z1z5owkqW7duvfV9u7de99jL7zwgiTZ/cCxt7wjFSpUkPS/w45SgqurqywWS4qtHwCA1OrWrVvq3bu3w4CQI0cORUREEBAMZMqQEB8fr9DQUJUqVUqBgYFGt5MuPPvss+rVq5f++usvNW7cWCdPnrS73OMel1+gQAFJf1/96J9Wr16tzZs337d8kyZN5ObmphkzZuivv/5KevzGjRuPdehQp06dlCFDBvXr109nz569rx4dHa1Dhw498vrsyZ49u/7444+nWgcAAGnNjRs31LJlS/3www9267ly5VJkZCSXBTeYKQ83mjBhgo4dO6YdO3bo008/NbqddOPDDz9UXFycpk+frooVK6pKlSp64YUXlDlzZv3111/66aef9N1338nLy+uRf/AbN26sadOmqV+/ftq1a5f8/Pz0448/aseOHQoODlZkZKTN8kWKFFG/fv00ZswYVa1aVfXr11eGDBkUERGhkiVL2j3Z2J6AgABNnDhRffr0UcWKFVW7dm0VLlxYt27d0unTp/X111+rZcuWmjx58mO/TvdUr15da9euVcuWLVW6dGm5ubnpzTffTJoNAQAgvbl+/bqaNGmSdOn0f8udO7ciIiL0/PPPO7kz/JvpQsLBgwc1ceJEDRo0SCVKlHis58bGxj6wbrFYkv3wEavVmvR7Wjg0ZcSIEWrSpInmz5+vPXv26IcfftDdu3eVPXt2lShRQsOGDVPz5s2VO3duWSyWpPFJum98VqtV+fLlU2RkpIYOHart27crISFBL774osLDw/XHH38oMjLyvtfm/fffl6+vr2bOnKkFCxYoV65catiwoQYOHJh0pSF7r+W/19OmTRuVLFlSM2bM0N69e7Vx40Z5e3urQIECCg0NVfPmzZOWf9D75GiMo0ePltVq1a5du7Rx40ZZLBY988wzCggISJH33WKxPPTfcGoQFxdn87uZmHnskrnHz9gZuxncuHFDzZs3d3hJ8Ny5cyssLEyFCxdOE/9fPanU8L57eno+dBmX6Oho60OXSifu3r2rmjVrytPTU1u3bpWbm5tCQ0O1fPnyRzpx+eTJkw+8Qo2Hh4d8fX2Tu20gWVy8eNE0/xEBAFKXmzdvqnv37jp69Kjdeq5cuTRz5ky790ZC8itWrNhDlzHVTMLo0aN14sQJbd++PemylI8jX758D6xfv37d4bX+n5TValV8fLzc3d0dXgEovWLsyTt2T0/PNBFi4+LidPHiRfn6+ib7z1NqZ+axS+YeP2Nn7Ol57NeuXVOnTp0cBoS8efMqPDxcRYsWdXJnxkgr77tpQsL+/fs1depUDRgwQAEBAU+0jodNzdy8eTPZL1N671ATFxeXVH0J1JTA2JN37K6uro80vZhaeHh4pKl+k5OZxy6Ze/yMnbGnN1evXlXTpk115MgRu/VnnnlGGzZsME1A+KfU/r6bYs8rISFBoaGhKlmypN59912j2wEAAEj3rly5onr16jkMCL6+vlq7dq0pA0JaYIqZhFu3bunEiROSHN/Zt3bt2pKkJUuWKCgoyGm9AQAApDeXL19WvXr1HB5iVKBAAU2bNo1zEFIxU4SEjBkzqk2bNnZre/bs0YkTJ/Tmm28qV65c992lFwAAAI/u0qVLCgkJ0c8//2y37u/vr7CwMNOdb5jWmCIkZMqUSVOnTrVbCw0N1YkTJ5Kuhw8AAIAnc/HiRdWrV0+//PKL3XqhQoUUGRmp3Llz271ZKVIPU5yT4Ez/vCY+kFrw7xIAkNIuXLig4OBghwGhcOHC2rBhg/z8/JzcGZ4EISEZeXp6puubfyDtio2NTdVXUAAApG3nz59XUFCQjh8/brdetGhRRUVFqUCBAk7uDE/K9CFh5syZio6OTpZDjbJkyaJbt27pzp07fHOLVMFqterOnTu6deuWsmTJYnQ7AIB06I8//lBQUJB+++03u/VixYppw4YND73fFFIXU5yT4Cyurq7KmTOnYmJidPny5WRZp8ViSfoW2Iz3CmDsTz92T09P5cyZ03SvIQAg5Z09e1bBwcE6ffq03fpzzz2n9evXK2/evM5tDE+NkJDMXF1dlTVrVmXNmjVZ1hcbG6sbN27I19fXdIeLMHZzjh0AkDb8/vvvCg4O1pkzZ+zWn3/+ea1fv1558uRxcmdIDny1CAAAgMdy+vRpBQYGOgwIAQEBioiIICCkYcwkAAAA4JGdPn1aQUFBOnfunN16yZIlFRERoZw5czq5MyQnZhIAAADwSE6ePKnAwECHAaFUqVKKjIwkIKQDhAQAAAA81G+//abAwED98ccfdusvvviiIiIilCNHDid3hpRASAAAAMADHT9+XEFBQfrzzz/t1suWLav169cre/bsTu4MKYWQAAAAAId++eUXBQUF6cKFC3brFSpU0Nq1a+Xj4+PcxpCiCAkAAACw6+eff1ZQUJAuXbpkt16xYkWFh4cTENIhQgIAAADu89NPPyk4OFh//fWX3XqlSpUUHh6ubNmyObkzOAMhAQAAADaOHDmievXq6fLly3brlStXVlhYmLy9vZ3cGZyFkAAAAIAkhw4dUr169XTlyhW79SpVqmj16tXKmjWrkzuDMxESAAAAIEk6ePCgQkJCdO3aNbv1atWqafXq1fLy8nJyZ3A2QgIAAAD0/fffKyQkRNHR0XbrNWvW1MqVK5UlSxbnNgZDEBIAAABM7sCBA6pfv76uX79ut/7qq69q+fLlypw5s5M7g1EICQAAACa2f/9+NWzYUDdu3LBbf+2117Rs2TJlypTJyZ3BSIQEAAAAk/rmm2/UqFEjhwGhTp06WrJkiTw9PZ3cGYxGSAAAADChPXv2qFGjRrp586bd+htvvKHFixcTEEyKkAAAAGAyu3fvVpMmTXTr1i279bp162rRokXKmDGjkztDakFIAAAAMJGdO3eqadOmiomJsVsPDg7WggUL5OHh4eTOkJoQEgAAAExix44datasmW7fvm23Xr9+fc2bN4+AAEICAACAGWzbtk3NmjXTnTt37NYbNmyozz//XO7u7k7uDKkRIQEAACCd27p1q1q0aKHY2Fi79SZNmmjOnDnKkCGDkztDakVIAAAASMc2b96sli1b6u7du3brTZs21axZswgIsEFIAAAASKe+/PJLtW7dWnFxcXbrLVq00MyZM+Xm5ubkzpDaERIAAADSoaioKLVt29ZhQGjVqpWmTZtGQIBdhAQAAIB0JiIiQu3atVN8fLzdetu2bTV16lQCAhwiJAAAAKQj69evV4cOHZSQkGC33rFjR33yySdydWU3EI7xrwMAACCdWLNmjTp27KjExES79bfeeksTJ04kIOCh+BcCAACQDoSFhemtt95yGBDeeecdjR8/Xi4uLk7uDGkRIQEAACCNW7lypd555x1ZLBa79dDQUI0bN46AgEdGSAAAAEjDli1bpi5dujgMCN27d9fo0aMJCHgshAQAAIA0avHixerWrZusVqvdeq9evTRixAgCAh4bt9YDAABIgxYtWqSePXs6rL/33nv64IMPCAh4IswkAAAApDHz589/YEB4//33CQh4KswkAAAApCGff/65+vbt67A+YMAADRgwwIkdIT1iJgEAACCNmD179gMDwqBBgwgISBaEBAAAgDRgxowZ6t+/v8P6hx9+qH79+jmxI6RnhAQAAIBUburUqRo0aJDD+tChQ/Xee+85sSOkd5yTAAAAkIp9+umn+uijjxzWR4wYoR49ejixI5gBIQEAACCVmjRpkoYPH+6wPmrUKHXr1s2JHcEsCAkAAACp0Pjx4zVq1CiH9bFjx6pLly5O7AhmQkgAAABIZcaOHauxY8c6rI8fP15vv/22EzuC2RASAAAAUgmr1arRo0dr/PjxDpeZNGmSOnbs6MSuYEaEBAAAgFTAarVq5MiRmjhxosNlPvnkE7Vv3955TcG0CAkAAAAGs1qtGjZsmD755BO7dRcXF02ZMkVt2rRxbmMwLUICAACAgaxWq4YMGaKpU6farbu4uGj69Olq2bKlkzuDmZkiJMTGxmr48OH64YcfdOrUKV27dk3ZsmVT4cKF1aZNGzVr1kzu7u5GtwkAAEzGarVq6NChmj17tt26q6urZsyYoebNmzu5M5idKe64HBMTo3nz5snFxUV16tRRt27dFBQUpPPnz6t79+5q1qyZLBaL0W0CAAATsVqtmjRp0gMDwuzZswkIMIQpZhKyZ8+u33//XR4eHjaPJyQkqH79+tq2bZu2bNmi119/3aAOAQCAmVitVg0aNEgrVqywW3dzc9OcOXPUqFEjJ3cG/M0UMwmurq73BQRJypAhg4KCgiRJJ0+edHZbAADAhCwWi9577z3Nnz/fbt3NzU1z584lIMBQpphJcMRiseirr76SJAUEBBjcDQAASO8sFoveffddLVy40G49Q4YMmjt3rkJCQpzcGWDLVCEhLi5OEydOlNVq1bVr17Rjxw4dP35crVq1Uo0aNR76/NjYWCd0aSsuLs7mdzNh7IzdbMw8dsnc42fs5hi7xWJR3759tWzZMrt1d3d3zZkzR6+//roh+xzOZKb3/d9Sw9g9PT0fuoxLdHS01Qm9pAq3bt1SgQIFkv7u4uKi7t2766OPPlKGDA/PSydPnlRiYmJKtggAANKhxMREjRw5Uhs2bLBbz5Ahg8aNG6fq1as7uTOYUbFixR66jKlCwj0Wi0V//vmnNm7cqOHDh+v555/XqlWr5O3t/cDnGTWTcPHiRfn6+to9ryI9Y+yMnbGbi5nHz9jT99gTExPVq1cvhYWF2a17eHho7ty5ql27tpM7M44Z3ndHUsPYH2UmwVSHG93j6uqq/Pnzq1OnTsqZM6fat2+viRMnatiwYQ983qO8oCnFw8PD0O0bibEzdrMx89glc4+fsae/sSckJKhnz54PDAjz589XYGCgkztLHdLr+/4oUvvYTRkS/umVV16RJO3evdvgTgAAQHqSkJCgzp07Kzw83G7d09NTH3/8sWrVquXkzoCHM31IuHDhgiRxx2UAAJBs4uPj9fbbb2vdunV2656enlq0aJEKFy7s3MaAR2SK+yQcO3ZMt2/fvu/x27dva/DgwZJkquMAAQBAyomPj1enTp0cBoRMmTJp5cqVnKSMVM0UMwlr167VjBkz9NJLL8nf319Zs2bV+fPntXXrVl29elWVK1dW165djW4TAACkcXFxcerQoYOioqLs1jNnzqxVq1bp5ZdfTveXOUXaZoqQ8MYbb+jChQvav3+/9u/fr5iYGHl7e6tkyZJq1KiRWrdu/UiXQAUAAHDk7t27at++vb788ku79SxZsmj16tWqUqWKkzsDHp8p9ozLli2rsmXLGt0GAABIp+7evau2bdtq06ZNduteXl4KCwvTSy+95OTOgCdjipAAAACQUmJjY9WmTRtt2bLFbj1r1qwKCwtTpUqVnNwZ8OQICQAAAE/ozp07atWqlbZt22a37u3trfDwcFWsWNHJnQFPh5AAAADwBG7fvq2WLVtq+/btduve3t5au3atypcv79zGgGRASAAAAHhMMTExatGihXbu3Gm37uPjo3Xr1qlMmTLObQxIJoQEAACAxxATE6NmzZpp9+7dduvZs2fXunXr9OKLLzq5MyD5EBIAAAAe0a1bt9SkSRPt3bvXbj1Hjhxav369SpUq5eTOgORlijsuAwAAPK2bN2+qcePGDgNCzpw5FRERQUBAusBMAgAAwEPcuHFDjRs31v79++3Wc+XKpYiICAUEBDi5MyBlEBIAAAAe4Pr162rUqJEOHDhgt54nTx5FRESoRIkSTu4MSDmEBAAAAAeio6PVsGFDff/993brefPmVUREhIoXL+7kzoCURUgAAACw49q1a2rQoIEOHjxot/7MM88oMjJSzz77rHMbA5yAkAAAAPAvV69eVf369XX48GG79Xz58ikyMlJFixZ1cmeAcxASAAAA/uHKlSsKCQnRjz/+aLdeoEABRUZGqnDhwk7uDHAeQgIAAMB/Xb58WfXq1dPRo0ft1gsUKKANGzaoUKFCzm0McDLukwAAACDp0qVLCg4OdhgQ/P39FRUVRUCAKTCTAAAATO/ixYuqV6+efvnlF7v1ggULKjIyUv7+/k7uDDAGMwkAAMDULly4oODgYIcBoXDhwoqKiiIgwFQICQAAwLTOnz+voKAgHT9+3G69aNGiioqKUoECBZzcGWAsQgIAADClP/74Q0FBQfrtt9/s1osVK6YNGzYoX758Tu4MMB4hAQAAmM65c+cUFBSkkydP2q0XL15ckZGReuaZZ5zcGZA6EBIAAICp/P777woMDNSpU6fs1kuUKKENGzYob968Tu4MSD0ICQAAwDROnz6twMBAnTlzxm49ICBAkZGRypMnj5M7A1IXLoEKAABM4fTp0woKCtK5c+fs1kuWLKn169crV65cTu4MSH2YSQAAAOneyZMnFRgY6DAglCpVSpGRkQQE4L8ICQAAIF07ceKEgoKC9Mcff9itv/jii4qIiFCOHDmc3BmQehESAABAuvXrr78qMDBQ58+ft1svW7as1q9fr+zZszu5MyB1IyQAAIB06ZdfflFQUJAuXLhgt16+fHmtXbtWPj4+zm0MSAMICQAAIN35+eefFRQUpIsXL9qtV6xYUWvWrCEgAA4QEgAAQLry008/KTg4WH/99ZfdeqVKlRQeHq5s2bI5uTMg7SAkAACAdOPIkSOqV6+eLl++bLdeuXJlhYWFydvb28mdAWkL90kAAADpwuHDhxUSEqJr167ZrVepUkWrVq2Sl5eXkzsD0h5mEgAAQJp38OBB1atXz2FAqFatmlavXk1AAB4RIQEAAKRpP/zwg0JCQhQdHW23XqNGDa1cuVJZsmRxbmNAGkZIAAAAadZ3332nkJAQXb9+3W79lVde0YoVK5Q5c2YndwakbYQEAACQJu3fv18NGjTQjRs37NZr1aqlZcuWKVOmTE7uDEj7CAkAACDN+eabb9SoUSOHAaFOnTpaunQpAQF4QskeEuLj4x3+wAIAADytvXv3qlGjRrp586bd+htvvKHFixfL09PTyZ0B6cdTXQI1Pj5eW7du1a5du7R7926dOXMm6QfW3d1duXLlUpkyZVStWjXVqVNHRYoUSZamAQCAOX399ddq2rSpYmJi7Nbr1q2rBQsWyMPDw8mdAenLE4WEc+fOae7cuVqyZImuXLkiSbJarTbLxMXF6fz58zp//ry+/PJLDRo0SNWrV1enTp0UHBz89J0DAABT2bVrl5o1a6bbt2/brQcFBWnevHkEBCAZPFZIuHXrliZMmKBZs2bp7t27cnV1VZkyZVSxYkVVqFBBefPmVY4cOeTp6alr167p2rVrOnr0qL799lvt379fO3bs0M6dO1WqVCmNHj1aVatWTalxAQCAdGTHjh1q3ry57ty5Y7ceEhKizz//XO7u7k7uDEifHisklCtXTn/99ZeKFi2qli1bqlmzZsqfP/8Dn1O7dm1JksVi0bZt27R8+XJFRkYqODhYEyZMUMeOHZ+8ewAAkO5t27ZNLVu2VGxsrN16gwYNNGfOHAICkIweKyRkyZJFw4YNU7NmzeTq+njnPLu6uuq1117Ta6+9ptOnT2vcuHEO74oIAAAgSVu3blWrVq109+5du/XGjRtr1qxZypDhqU6zBPAvj/UTdeDAAbm5uT31RgsVKqSZM2cqMTHxqdcFAADSp82bN6t169aKi4uzW2/atKlmzJhBQABSwGNNByRHQEjJ9QEAgPRh48aNDwwILVq00MyZMwkIQAp56vsk9O3bV4sXL1Z8fHxy9AMAAEwuKipKbdq0cRgQWrVqpWnTpvFlI5CCnjp+z507Vy4uLvryyy+1ePFifmABAMATi4yMVIcOHZSQkGC33rZtW33yySePfW4kgMeTLD9hVqtVGzdu1FtvvXXf/RL+afbs2Vq4cGFybBIAAKQz69evf2BA6NChAwEBcJJk+SkrXbq0KlWqpPXr1ys0NNThcuvWrdO7776bHJsEAADpyLp169SxY0eHAaFTp06aOHEiAQFwkmT5ScucObNWrVqlMmXKaNWqVerVq1dyrDbZnD9/XjNmzFCDBg30wgsvKHfu3CpevLjatGmjAwcOGN0eAACmtmnTJnXt2tXhVQ/feecdTZgwgYAAOFGy/bRlzZpVa9asUUBAgBYvXqx+/fol16qf2pw5czRo0CCdPn1ar7zyirp3766XXnpJX3zxherUqaM1a9YY3SIAAKYUFhamIUOGyGKx2K2HhoZq3LhxcnFxcXJngLkl63XDfHx8tH79egUGBurzzz+Xp6enhg8fnpybeCLlypXThg0b9PLLL9s8vmfPHoWEhKhPnz4KDAxUxowZDeoQAADzWb58uXr06OHwfMbu3btrxIgRBATAAMk+b5czZ05FRESocOHCmjZtmkaPHp3cm3hs9erVuy8gSFKVKlVUrVo1RUdH6+jRowZ0BgCAOS1ZskRdu3Z1GBB69epFQAAMlCJ3IMmTJ48iIiL05ptvasKECfL09FSfPn1SYlNPzd3dXdKj3dgtNjY2pdu5z71rRDu6VnR6xtgZu9mYeeySucdvtrEvXbpUffv2dRgQevbsqQEDBuju3btO7sy5zPa+/xNjN3bsnp6eD10mxW5TmD9/fkVERCgwMFAjR45MlYfynD17Vtu3b1fevHlVsmTJhy5//vx5hydVpbSLFy8ast3UgLGbE2M3LzOP3wxjX7NmjcaMGeOw3rFjR7Vu3Vrnzp1zYlfGMsP77ghjN0axYsUeusxTh4Tp06c7/Ia9UKFCioiIUN26dfXhhx8qS5YsT7u5ZBMfH6/OnTvr7t27Gjp06CPNJOTLl88JndmKi4vTxYsX5evrKw8PD6dv30iMnbEzdnMx8/jNMvb58+c/MCC899576tu3r2kOMTLL+24PY0/9Y3/qkNCyZcsH1osWLZp0MvPVq1dTxQ++xWJR165dtWfPHrVr107Nmzd/pOc9ytRMSvHw8DB0+0Zi7IzdbMw8dsnc40/PY58zZ44GDhzosP7+++9r8ODBTuwo9UjP7/vDMPbUO3anXHC4RIkSWrdunf7zn/8oc+bMztikQxaLRd26ddPq1avVtGlTTZ482dB+AABI72bOnPnAS6N37dpV7733nhM7AvAwKXZOwr+VKlVKmzZtcniSkjPcm0FYsWKFGjdurJkzZ3JjFgAAUtC0adP0wQcfOKwPHjxY9evXd15DAB7JY+0hx8TEPPUG/3m4UXKs71H9MyA0bNhQs2fPfqTzEAAAwJOZMmXKAwPCiBEj1KNHDyd2BOBRPVZIKFOmjGbMmPHUlyQ7dOiQmjZtqunTpz/Veh7VvUOMVqxYofr162vOnDkEBAAAUtDkyZM1ZMgQh/VRo0YREIBU7LEON8qaNas++OADffrpp2rWrJmaN2+ugICAR3ru7du3tX79ei1fvly7d++Wq6urGjVq9ERNP65x48Zp+fLl8vLy0rPPPqvx48fft0xgYKBKly7tlH4AAEjPxo8fr1GjRjmsjxkzRqGhoU7sCMDjeqyQ8M0332jWrFkaP368pk6dqmnTpsnf318VK1ZU2bJllS9fPmXPnl0ZM2bUtWvXdPXqVf388886cOCADh06pLt378pqtapmzZoaNWrUIweMp/X7779Lkm7duqUJEybYXcbf35+QAADAUxo7dqzGjh3rsD5+/Hi9/fbbTuwIwJN4rJDg7u6uHj16qHXr1lq0aJHmz5+vM2fO6MyZMwoPD3f4PKvVKnd3d4WEhOjtt99WlSpVnrrxxzFz5kzNnDnTqdsEAMBMrFarxowZo48//tjhMpMmTVLHjh2d2BWAJ/VEVzfKnj27evXqpZ49e2r//v3atWuX9uzZozNnzujy5cuKjY1Vzpw5lTt3br344ot6+eWX9corryh37tzJ3T8AADCY1WrVqFGjHM7WS9Inn3yi9u3bO68pAE/lqS6B6uLioitXrqhZs2bq27dvcvUEAADSCKvVquHDhzu875CLi4s+/fRTtW3b1smdAXgaT32TgFatWqlMmTI6ePBgMrQDAADSCqvVqo8++uiBAWHatGkEBCANSpabqd27QVp0dLTOnj0rd3d3FSxYUJkyZUqO1QMAgFTGarVq8ODBmjFjht26i4uLZsyYoRYtWji5MwDJIdnuuBwaGqpffvnlfyvOkEHly5dXixYt1KxZM2XMmDG5NgUAAAxktVo1cOBAzZo1y27d1dVVs2bNUtOmTZ3cGYDk8tSHG91z7NgxWa3WpF/x8fHat2+fevfurSpVqujAgQPJtSkAAGAQq9Wqfv36OQwIbm5u+uyzzwgIQBqXbCGhZMmSCgsL06lTp3TmzBlt3bpV7777rvz8/HTy5EnVq1dPu3fvTq7NAQAAJ7NYLOrbt68+++wzu3U3NzfNnTvXaTdLBZBykiUkuLu7a82aNapVq5Z8fHzk7e2t8uXLa8iQIdq/f7+6dOmiO3fuqFOnToqOjk6OTQIAACeyWCzq06eP5s6da7eeIUMGzZs3T/Xr13duYwBSxFOHBBcXFz3//PPKkyeP3XrGjBk1ZswY9erVS5cuXXL47QMAAEidLBaLevXqpQULFtitZ8iQQfPnz1dISIhzGwOQYp46JHh7eysuLu6hy/Xv319ZsmTRF1988bSbBAAATpKYmKju3btr8eLFduvu7u5atGiRgoODndwZgJT01CHh2Wef1fHjx3X+/PkHLpcpUyYVL15cJ06ceNpNAgAAJ0hMTFTXrl21bNkyu3UPDw8tXrxYdevWdXJnAFLaU4eE1157TYmJierdu7cSEhIeuGx0dPRDlwEAAMZLSEhQaGioVq5cabeeMWNGLVmyRG+88YaTOwPgDE8dEt555x3lzp1bW7du1auvvqrDhw/bXS4qKkqnTp2Sv7//024SAACkoISEBHXu3FmrVq2yW/f09NSyZctUp04dJ3cGwFme+mZqOXLk0PLly9WkSRMdOXJENWvW1HPPPac6deqoaNGislgs2r9/v8LCwuTi4sJJTQAApGLx8fF65513tHbtWrt1T09PrVixQjVr1nRuYwCcKlnuuFy+fHnt2rVLAwcOVFRUlI4dO2Zz92Xp75uvVKhQQb17906OTQIAgGQWHx+vTp06KSIiwm49U6ZMWrFihWrUqOHkzgA4W7KEBEnKnz+/Fi1apNOnT2vDhg3at2+fTp48qbi4OD3zzDN688031alTJ2XMmDG5NgkAAJJJXFycOnbsqA0bNtitZ86cWStXrlS1atWc3BkAIyRbSLinUKFC6t69u7p3757cqwYAACng7t27at++vb788ku79SxZsmjVqlWqWrWqkzsDYJRkDwkAACDtuHv3rtq2batNmzbZrXt5eWn16tWqXLmykzsDYCRCAgAAJhUbG6s2bdpoy5YtdutZs2ZVWFiYKlWq5OTOABiNkAAAgAnduXNHrVu31ldffWW37u3trfDwcFWsWNHJnQFIDQgJAACYzO3bt9WqVSv93//9n926t7e31q5dq/Llyzu5MwCpBSEBAAATuX37tpo3b66dO3farWfLlk3r1q1T2bJlndwZgNSEkAAAgEnExMSoWbNm2r17t926j4+P1q1bpzJlyji3MQCpDiEBAAATuHXrlpo0aaK9e/farefIkUPr1q1T6dKlndwZgNSIkAAAQDp38+ZNNWnSRPv27bNbz5kzp9avX68XXnjByZ0BSK0ICQAApGM3btxQ48aNtX//frv1XLlyKSIiQgEBAU7uDEBq5mp0AwAAIGVcv35djRo1chgQ8uTJow0bNhAQANyHmQQAANKh6OhoNWrUSN99953duq+vryIjI1W8eHEndwYgLSAkAACQzly7dk0NGjTQwYMH7dbz5s2ryMhIFStWzLmNAUgzCAkAAKQjV69eVf369XX48GG79Xz58ikyMlJFixZ1cmcA0hJCAgAA6cSVK1cUEhKiH3/80W49f/78ioyMVJEiRZzcGYC0hpAAAEA6cPnyZdWrV09Hjx61Wy9QoIA2bNigQoUKObcxAGkSVzcCACCN++uvvx4YEPz9/RUVFUVAAPDImEkAACANu3TpkurVq6djx47ZrRcsWFCRkZHy9/d3cmcA0jJmEgAASKMuXLigoKAghwGhcOHCioqKIiAAeGyEBAAA0qDz588rKChIx48ft1svWrSoNmzYoAIFCji5MwDpAYcbAQCQxvzxxx8KDg7WyZMn7dafffZZRUZG6plnnnFyZwDSC2YSAABIQ86dO6egoCCHAaF48eLasGEDAQHAUyEkAACQRvz+++8KDAzUqVOn7NZLlCihDRs2KG/evE7uDEB6Q0gAACANOHPmjIKCgnTmzBm79YCAAEVGRipPnjxO7gxAesQ5CQAApHKnT59WUFCQzp07Z7desmRJrV+/Xrly5XJyZwDSK2YSAABIxU6ePPnAgFCqVClFREQQEAAkK2YSAABIpU6cOKHg4GCdP3/ebr106dJav369smfP7uTOAKR3zCQAAJAK/frrrwoMDHQYEMqUKaOIiAgCAoAUQUgAACCV+eWXXxQUFKQLFy7YrZcvX17r1q2Tj4+PcxsDYBqEBAAAUpFjx44pODhYFy9etFuvWLGi1qxZQ0AAkKIICQAApBI///yzgoKCdOnSJbv1SpUqKTw8XNmyZXNyZwDMxjQhYeXKlerdu7dq1qypPHnyyMfHR0uXLjW6LQAAJP19DkKjRo10+fJlu/XKlSsrLCxM3t7eTu4MgBmZ5upGI0eO1NmzZ5UzZ075+vrq7NmzRrcEAIAk6ccff1RoaKiuX79ut16lShWtWrVKXl5eTu4MgFmZJiRMnTpVRYoUkb+/vyZPnqxhw4YZ3RIA4B9cf/9dXocPy/3PP+Xm4WF0O07z66+/avzAgSp565bd+oulS2t4v37y/PFHJ3fmHO5xcfK6dMl077vE2M08dnd3d8nPz+hWHsg0IaFmzZpGtwAAsCc6WllatFC2vXuV2+heDFBW0sYHLXD4sFS/vnOaMUgOoxswEGM3p5vvvy+VLWt0Gw9kmnMSAACpk+fw4cqwd6/RbQAA/sE0MwnJITY21unbjIuLs/ndTBg7Yzcbs449y86dRrcAAE5n5Ge9p6fnQ5chJDyG8+fPKzEx0ZBtO7pethkwdnNi7OaR/cYNo1sAAKcz8rO+WLFiD12GkPAY8uXL5/RtxsXF6eLFi/L19ZWHyU7sYeyMnbGbg5vRDQCAAVL7Zz0h4TE8ytRMSvHw8DB0+0Zi7IzdbMw2dheL5b7HEipX1t0uXQzoJuX88ssvmjhxomLv3rVbD3j+efXs2VOZM2d2cmfGio+P1+UrV5QrZ86/r/hiIozdvGO/kTOn8qTyz3pCAgDAWHZCgsXPTwkhIQY0kzJ27dqlZp98otsOAkLdunVV94MPZClSRAmpeKchJdyNjVX02bPK6ucnF8ZuGmYf+900cL8urm4EADCUi71zvdzSz0FIO3bsUNOmTXX79m279Xr16mn27Nmm+zYVQOpGSAAAGMtqvf+xdBIS/u///k/NmjXTnTt37NYbNGiguXPnEhAApDqmOdxo0aJF2vvf63AfPXpUkrR48WLt3r1bklS5cmW1bdvWsP4AwLTszSS4pv3vsL766iu1bNlSdx0cYtS4cWPNmjVLGTJkMOzKeQDgiGlCwt69e7V8+XKbx/bt26d9+/Yl/Z2QAAAGsLODbE3jMwmbN29WmzZtHAaEpk2basaMGcqQwTT/DQNIY0zz6TRz5kzNnDnT6DYAAP9m58TltDyTsHHjRrVt29bhjZKaN2+u6dOnyy2NByEA6Vva/RQGAKQP6ehwo6ioKLVp08ZhQGjZsiUBAUCakDY/hQEA6Ye9mYQ0uBMdGRmpdu3aKT4+3m69bdu2mjZtGgEBQJpASAAAGMdqlYu9qxulsZmE9evXq0OHDkpISLBb79Chgz755BO5prFxATAvPq0AAMZxdFWfNPRt+9q1a9WxY0eHAaFTp06aOHEiAQFAmsInFgDAOPYONVLaubpReHi43nrrLYeXMH377bc1YcIEAgKANIdPLQCAcRzNJKSBnepVq1bp7bffdhgQunTpoo8//lguLi5O7gwAnl7q/xQGAKRfDmYSUntIWL58uTp37iyLg/67deumMWPGEBAApFmp+1MYAJC+pcGZhCVLlqhr166y2jvhWlLPnj01cuRIAgKANC31fgoDANI/RzMJqfSchEWLFqlHjx4OA8K7776rYcOGERAApHmmueMyACD1cUlDIWHBggXq3bu3w3rfvn01ePBgAgKAdIGZBACAcdLI4UZz5859YEDo378/AQFAupK6PoUBAObiICSkpkugzpkzR++9957D+sCBAzVw4EACAoB0hZAAADBOKr+60cyZM9WvXz+H9Q8++ED9+/d3YkcA4Byp41MYAGBOqfhwo2nTpmngwIEO6x999JH69u3rxI4AwHk4cRkAYJxUeuLylClTNGTIEIf14cOHq2fPnk7sCACci5AAADCMw6sbGTiTMHnyZA0bNsxhfdSoUerWrZsTOwIA5yMkAACM4+hwI4NmEiZMmKCRI0c6rI8ZM0ahoaFO7AgAjEFIAAAYx8FMghFXNxo3bpzGjBnjsP7xxx/rnXfecWJHAGAcQgIAwDip4MRlq9WqMWPG6OOPP3a4zMSJE9WpUyen9QQARiMkAACMY/A5CVarVaNGjdKECRMcLvPJJ5+offv2TukHAFILQgIAwDgGnpNgtVo1fPhwTZ482W7dxcVFn376qdq2bZvivQBAakNIAAAYx6CZBKvVqo8++khTpkyxW3dxcdHUqVPVunXrFO0DAFIrQgIAwDAOL4GagjMJVqtVH3zwgaZPn26/JxcXzZgxQy1atEixHgAgtSMkAACM4+QTl61WqwYOHKhZs2Y52KyrZs2apaZNm6bI9gEgrSAkAACM48RLoFqtVvXr10+fffaZ3bqrq6vmzJmjxo0bJ/u2ASCtISQAAIzjpJkEi8Wi999/X3PnzrVbd3Nz0+eff64GDRok63YBIK0iJAAAjOOEkGCxWNSnTx8tWLDAbj1DhgyaO3euQkJCkm2bAJDWERIAAMZJ4ROXLRaLevfurUWLFtmtZ8iQQfPnz1dwcHCybA8A0gtCAgDAMCl5daPExET17NlTS5cutVt3d3fXwoULVbdu3afeFgCkN4QEAIBxUuhwo8TERHXr1k0rVqywW/fw8NCiRYv0xhtvPNV2ACC9IiQAAIyTAlc3SkxMVGhoqFatWmW3njFjRi1evFh16tR54m0AQHpHSAAAGMfRTIKLyxOtLiEhQV26dFFYWJjdesaMGbVs2TLVqlXridYPAGZBSAAAGCcZz0mIj4/XO++8o7Vr19qte3p6avny5XrllVcee90AYDaEBACAcRzNJDxmSIiPj1enTp0UERFht54pUyatWLFCNWrUeNwOAcCUCAkAAOM4mkl4jBOX4+Li1LFjR23YsMFuPXPmzFqxYoWqV6/+JB0CgCkREgAAhnnaS6DGxcWpffv2+uKLL+zWs2TJolWrVqlq1apP2iIAmBIhAQBgnKc43Oju3btq27atNm3aZLfu5eWl1atXq3Llyk/TIQCYEiEBAGAcR5dAfcjVjWJjY9W2bVtt3rzZbj1r1qwKCwtTpUqVnrpFADAjQgIAwDhPMJNw584dtW7dWl999ZXdure3t8LDw1WxYsXk6BAATImQAAAwzmPecfn27dtq1aqV/u///s9u3dvbW2vXrlX58uWTq0MAMCVCAgDAOFar/cftzCTcvn1bzZs3186dO+0+JVu2bFq3bp3Kli2bnB0CgCkREgAAhnF5xMONYmJi1KxZM+3evdvu4j4+Plq3bp3KlCmTzB0CgDkREgAAxnmE+yTcunVLTZs21Z49e+wumiNHDq1bt06lS5dOiQ4BwJQICQAA4ziYSbD+dybh5s2batq0qfbu3Wt3uZw5c2r9+vV64YUXUqxFADAjQgIAwDgPOHH5xo0baty4sfbv3293kVy5cikiIkIBAQEp2CAAmNOj3/ceAIDk5uBwo5sxMWrUqJHDgJA7d25FRkYSEAAghTCTAAAwjoOQ0Omdd/TtkSN2a76+voqIiNBzzz2Xkp0BgKmZaibh+++/V5MmTeTv7698+fLptdde09q1a41uCwDMy0FIOOggIOTNm1cbNmwgIABACjPNTMLOnTvVqFEjeXp6qmHDhvLy8lJERIQ6dOigc+fOqUePHka3CACm4+gSqPYezZcvnyIjI1W0aNGUbQoAYI6QkJCQoF69esnV1VVRUVFJl8nr16+fatWqpREjRigkJET+/v4Gd3o/13Pn5Lt4sTJny6YM7u5Gt+NUrvHx8r1+nbEzdtMw49jdvv7a7uP/Dgn58+dXZGSkihQpkvJNAQDMERJ27typU6dOqVWrVjbX0c6WLZv69Omjrl27avny5erfv7+BXdrnduaM/KZMMboNw2Q1ugEDMXZzMvPY/+mfByEVKFBAGzZsUKFChYxqBwBMxxTnJNy7Q+err756X61WrVqSpK8dfJsFAHC+ezMJfn5+ioqKIiAAgJOZYibhxIkTkmT3OFZfX195eXnp5MmTD11PbGxssvf2MC4JCU7fJgAYKfa/v/z9/RUeHi5fX19DPn+dKS4uzuZ3M2HsjN1sUsPYPT09H7qMKULCjRs3JEne3t5261mzZk1a5kHOnz+vREc3/kkhVw8eVB2nbhEAjLVFUt4CBTR9+nRJ0tmzZ41tyIkuXrxodAuGYezmxNiNUaxYsYcuY4qQkFzy5cvn9G1ec3Fx+jYBwAgJkrZJGlm0qCJWrzbkM9cocXFxunjxonx9feXh4WF0O07F2Bk7Y0+dTBES7s0gOJotuHnzpnx8fB66nkeZmklut0qVknn+mwSQ2rhIcnNzk5ubm1xdXR3+uld3cXGx+fu/l3FxdZXbP//+3+VdXV3l6uOjZ8uU0crOnZU9e3ajh24IDw8PQ/6vSQ0YO2M3m9Q+dlOEhHvnIpw4cUJlypSxqV28eFG3bt1SuXLlDOjs4aweHvrT6CYAJ/nnjuO/d0zv/fnfO5/2Hv/3Y4/ynH8//s8+/l1z9Pi/1/Uoz/nn4xaLRdeuXVPu3Lnl6enpcCyPuv1HGcvDXhcXJ85mxsbG6uzZs8qUKZPTtgkAsM8UIaFq1aqaNGmStm3bpkaNGtnUvvrqq6RlUiM3NzejW0i3Hmfn69+PP8lO54N2IP9ds1qtunPnjrJmzSoPDw/DdoaTYyyPs4Mr/W9H0c/PL1V/w5ISzDx2AEDqYoqQUKNGDRUqVEhhYWHq3Llz0r0Srl+/rkmTJsnDw0PNmzc3uEv7MmfOrMKFCytjxox2d8YeZcc2uXbgHmcH8kl2rP/9nMTERP3111965pln5Onp+djjf9hOcWrGziIAADCSKUJChgwZNGXKFDVq1EiBgYFq2LChvLy8FBERobNnz2rEiBEqWLCg0W3aVbp0aa1atcqUO4vsKAMAABjDFCFBkqpXr66NGzdqzJgxWrt2reLj4xUQEKBhw4apYcOGRrcHAAAApBqmCQmSVL58eYWFhRndBgAAAJCquRrdAAAAAIDUhZAAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALBBSAAAAABgg5AAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALBBSAAAAABgg5AAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALBBSAAAAABgg5AAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALBBSAAAAABgg5AAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALBBSAAAAABgg5AAAAAAwAYhAQAAAIANQgIAAAAAG4QEAAAAADYICQAAAABsEBIAAAAA2CAkAAAAALCRwegGnOHw4cNat26dDh48qEOHDunKlSuqWrWqoqKijG4NAAAASHVMERKioqI0adIkeXh46Nlnn9WVK1eMbgkAAABItUxxuFH9+vW1fft2/fHHH1q7dq3R7QAAAACpmilmEp5//nmjWwAAAADSDFOEhOQSGxvr9G3GxcXZ/G4mjJ2xm42Zxy6Ze/yMnbGbDWM3duyenp4PXcYlOjra6oReUo2LFy/queeee6ITl0+ePKnExMQU6gwAAABIecWKFXvoMswkPIZ8+fI5fZtxcXG6ePGifH195eHh4fTtG4mxM3bGbi5mHj9jZ+yM3TzSytjTTEgYPHjwY03LdOnSRUWLFk3WHh5laialeHh4GLp9IzF2xm42Zh67ZO7xM3bGbjaMPfWOPc2EhAULFigmJuaRl69Xr16yhwQAAADADNJMSPjjjz+MbsEwbm5uRrdgGMZuTozdvMw8fsZuTozdnNLC2DlxGQAAAIANU9xMDQAAAMCjSzOHGz2N48ePa/LkyZL+d6+DX3/9VaGhoUnLzJw505DeAAAAgNTGFIcb7dq1S8HBwQ9cJjo62jnNAAAAAKmcKUICAAAAgEfHOQkAAAAAbBASAAAAANggJAAAAACwQUhIQ8aMGSMfHx+Hv86cOWN0i051+vRp5c+fXz4+Pnr33XeNbidFrVq1Sq1atVKZMmVUoEAB5c+fXy+99JIGDhyo8+fPG91eiomPj9f69evVpUsX/ec//1H+/PlVoEAB1apVS3PnzlViYqLRLaaow4cPa/jw4WrYsKGKFi0qHx8fBQYGGt1Wsvv+++/VpEkT+fv7K1++fHrttde0du1ao9tKcStXrlTv3r1Vs2ZN5cmTRz4+Plq6dKnRbaW48+fPa8aMGWrQoIFeeOEF5c6dW8WLF1ebNm104MABo9tLUbGxsRo0aJDefPNNlShRQr6+vipevLhef/11LVmyRPHx8Ua36HSffPJJ0n7Mt99+a3Q7KapUqVIO9+FS42e7KS6Bmt60aNFC/v7+9z2eLVs2A7oxhsVisbmEbXoXHh6ukydPqmLFivL19ZXVatWRI0c0a9YsLVu2TBs3btTzzz9vdJvJ7tSpU2rXrp28vLxUvXp1vfnmm7px44Y2btyo9957T5s3b9aKFSvk4uJidKspIioqSpMmTZKHh4eeffZZXblyxeiWkt3OnTvVqFEjeXp6qmHDhvLy8lJERIQ6dOigc+fOqUePHka3mGJGjhyps2fPKmfOnPL19dXZs2eNbskp5syZo08++USFCxfWK6+8oly5cunEiROKiopSVFSUPv/8czVs2NDoNlNETEyM5s2bp3LlyqlOnTrKlSuXoqOjtWXLFnXv3l1r1qxRWFiYXF3N8R3u0aNHNWbMGGXJkkUxMTFGt+MU3t7edvdf7O3XGY2rG6UhY8aM0bhx4xQZGalq1aoZ3Y6hpk6dqmHDhmn48OEaNGiQOnTokHQvjPQoNjZWnp6e9z2+aNEi9ezZUyEhIVq4cKEBnaWs8+fP64svvlCLFi2UJUuWpMdjYmIUFBSkH374QQsWLFD9+vWNazIF/fzzz7p7965Kliypq1evpru7xSckJKhixYo6f/68tmzZotKlS0uSrl+/rlq1aun333/XgQMHUuV/nslh+/btKlKkiPz9/TV58mQNGzZM06dPV6tWrYxuLUVFREQoR44cevnll20e37Nnj0JCQpQlSxb98ssvypgxo0EdphyLxaKEhAR5eHjYPJ6QkKD69etr9+7dWrlypV5//XWDOnSe+Ph4vfbaa3J3d1eRIkW0atUqbdmyRRUrVjS6tRRTqlQpSdKRI0cM7uTRmCOqIl05fvy4Ro0apXfffTfpBy69sxcQJCXtHJ88edKJ3ThPvnz59NZbb9kEBEnKkiWLunXrJkn6+uuvjWjNKZ5//nmVKVNG7u7uRreSInbu3KlTp06pcePGSQFB+ntWtE+fPoqLi9Py5csN7DBl1axZM90GoAepV6/efQFBkqpUqaJq1aopOjpaR48eNaCzlOfq6npfQJCkDBkyKCgoSFL6/Tz/twkTJujYsWOaNm2a3NzcjG4HdnC4URq0Z88efffdd3J1dVWRIkVUs2ZNeXl5Gd2WUyQmJio0NFRFihTR+++/r2+++cbolgy1efNmSUqXhxo9zL0dZ/5zSbt2794tSXr11Vfvq9WqVUtS+g6BuJ9Zf64tFou++uorSVJAQIDB3aS8gwcPauLEiRo0aJBKlChhdDtOFRcXp6VLl+rChQvKmjWrypUrpwoVKhjdll2EhDRozJgxNn/Pli2bxo4dqxYtWhjUkfNMmjRJhw4d0tatW+1+G5PerV27VseOHdOdO3d07NgxffXVVypYsKAGDRpkdGtOt2TJEkn2dzCRNpw4cUKSVLRo0ftqvr6+8vLyMs23qpDOnj2r7du3K2/evCpZsqTR7aSouLg4TZw4UVarVdeuXdOOHTt0/PhxtWrVSjVq1DC6vRR19+5dhYaGqlSpUurVq5fR7TjdxYsXk2bC7ylXrpzmzp2rwoULG9SVfYSENOSFF17QtGnT9PLLLytv3ry6ePGiNm3apNGjR6tr167Kli2b6tata3SbKebIkSP6+OOP1bNnT5UpU8bodgyxdu1aRUREJP29bNmymjdvngoVKmRcUwZYsGCBtmzZourVq6tOnTpGt4MndOPGDUl/n8hnT9asWZOWQfoWHx+vzp076+7duxo6dGi6n0mIi4vTuHHjkv7u4uKiHj166KOPPjKwK+cYPXq0Tpw4oe3bt6f79/nfWrVqpcqVKysgIEBZsmTRb7/9punTp2vlypWqV6+e9uzZo6xZsxrdZhJCgpMNHjxYcXFxj7x8ly5dkr5lCw4OtqkVLFhQ77zzjp577jnVr19fI0eOTPUh4UnHHxcXl3SYUf/+/VOww5TzNO/9PYsWLZIkRUdH6/Dhwxo5cqRq1KihxYsXp+pvn5Jj7Pds3LhR77//vvz8/DRnzpzkajHFJOfYgfTIYrGoa9eu2rNnj9q1a6fmzZsb3VKK8/LyUnR0tCwWi/78809t3LhRw4cP17fffqtVq1Y5DM5p3f79+zV16lQNGDDAFIdV/duAAQNs/l66dGnNnj1b0t+XRF64cKG6d+9uRGt2ERKcbMGCBY91ma969eo9dIehRo0aKly4sI4ePaobN26k6g+XJx3/pEmTdPToUW3evDnNXvEiOd97Hx8fVa9eXWFhYapYsaJCQ0N16NChVHuCa3KNffPmzWrXrp3y5MmjyMhI5c2bNznbTBEp8TOfXtz7rHI0W3Dz5k35+Pg4sSM4m8ViUbdu3bR69Wo1bdo0XV+lzh5XV1flz59fnTp1Us6cOdW+fXtNnDhRw4YNM7q1ZJeQkKDQ0FCVLFky3d/b6HF16NBBK1eu1DfffENIMLM//vgjRdabM2dOnTx5Unfu3EnVIeFJx3/48GFZLBa99tprduvz58/X/PnzVbduXS1btuxpWkwxKfHee3t7q0KFCoqKitLJkyf13HPPJfs2kkNyjH3Tpk1q27atcubMqcjIyDRziFVK/cynB/fC0IkTJ+47hPDixYu6deuWypUrZ0BncIZ7MwgrVqxQ48aNNXPmTNPcH8CeV155RdL/TuhPb27dupV0HlLu3LntLlO7dm1Jf59zdu9qT2aQM2dOSdLt27cN7sQWISEdiImJ0bFjx5QlS5akf2jpzSuvvGJ3bBcvXtTmzZtVvHhxVapUyeYyimZx4cIFSUq1swjJ4V5AyJ49uyIjI1WkSBGjW0IyqFq1qiZNmqRt27apUaNGNrV7V3qpWrWqEa0hhf0zIDRs2FCzZ8823fHp/5beP8szZsyoNm3a2K3t2bNHJ06c0JtvvqlcuXKZ7tLA9+40ntrGTUhII27evKmLFy/q2WeftXn8zp076tWrl27evKlWrVopQ4b0+Za+/fbbdh/ftWuXNm/erKpVq6bbaeqbN2/qwoULKlas2H21xYsX67vvvlPRokXT7Y7zli1b1LZtW/n4+CgyMtI0h+KYQY0aNVSoUCGFhYWpc+fONjdTu3enaTMcn2429w4xWrFiherXr685c+aYJiAcO3ZM/v7+ypw5s83jt2/f1uDBgyX979v09CZTpkyaOnWq3VpoaKhOnDihPn36pNubqR0/flwFChS4770/fvy4hg4dKklq3LixAZ05lj73KNOhq1evqmLFiipXrpyKFy8uX19fXbp0STt27NAff/yhgIAAjRgxwug2kQKuXr2q//znPypbtqyKFSumfPnyKTo6Wt9//70OHTokb29vzZw50+g2U8Tx48fVunVr3b17Vy+//LLCwsLuW8bf3z/d3qH2+PHjSeE3NjZWkvTrr78qNDQ0aZm0/N5nyJBBU6ZMUaNGjRQYGKiGDRvKy8tLEREROnv2rEaMGKGCBQsa3WaKWbRokfbu3StJSTcPW7x4cdLhJpUrV1bbtm0N6y+ljBs3TsuXL5eXl5eeffZZjR8//r5lAgMD0+XM8Nq1azVjxgy99NJL8vf3V9asWXX+/Hlt3bpVV69eVeXKldW1a1ej20QKCA8P14wZM1SlShX5+fkpc+bM+u2337RlyxbFx8erT58+qW7mlJCQRmTPnl1vvfWWvvvuO23ZskXR0dHKlCmTihcvrs6dO+vtt99WpkyZjG4TKSBXrlx6//33tXv3bm3fvl1Xr16Vh4eH/P391bVrV3Xr1k358+c3us0UcfHiRd29e1fS3x+w9lStWjXdhoSLFy/ed8fhS5cu2TyWlkOCJFWvXl0bN27UmDFjtHbtWsXHxysgIEDDhg1Tw4YNjW4vRe3du/e+93ffvn3at29f0t/TY0j4/fffJf19jPqECRPsLuPv758uQ8Ibb7yhCxcuaP/+/dq/f79iYmLk7e2tkiVLqlGjRmrdunW6PSLA7KpVq6bjx4/r8OHD2rt3r27fvq2cOXOqdu3aeuutt1LlPX9coqOjrUY3AQAAACD1MO9lBAAAAADYRUgAAAAAYIOQAAAAAMAGIQEAAACADUICAAAAABuEBAAAAAA2CAkAAAAAbBASAAAAANggJAAAAACwQUgAAAAAYIOQAAAAAMAGIQEAAACADUICAAAAABuEBAAAAAA2MhjdAADAfAIDA/X1118/dLnIyEhVq1bNCR0BAP6JkAAAcLqAgAAlJibard28eVM//fSTkzsCAPyTS3R0tNXoJgAAkKSEhAQ1atRIO3bsUIUKFRQZGalMmTIZ3RYAmA7nJAAAUo333ntPO3bskL+/v5YvX05AAACDEBIAAKnClClTtHDhQnl7e2vVqlXKnTu30S0BgGlxuBEAwHCRkZFq27at3NzcFBYWppo1axrdEgCYGjMJAABD/fDDD+rcubOsVqsmTZpEQACAVICQAAAwzLlz59SiRQvdvn1b7777rtq2bWt0SwAAcbgRAMAgN2/e1BtvvKGffvpJ9evX1/z58+Xi4mJ0WwAAMZMAADBAYmKiOnXqpJ9++kkVK1bUrFmzCAgAkIoQEgAATjdgwABt3rxZBQsW1LJly+Tp6Wl0SwCAf+BwIwCA0/n4+EiSChUqpLx58zpcbty4cXrxxRed1BUA4J4MRjcAADCv06dP6/Tp0w7rN27ccF4zAIAkhAQAgNNFR0cb3QIA4AE4JwEAAACADUICAAAAABuEBAAAAAA2CAkAAAAAbBASAAAAANggJAAAAACwQUgAAAAAYIOQAAAAAMAGIQEAAACADUICAAAAABuEBAAAAAA2CAkAAAAAbBASAAAAANj4f948G9v0Z7YFAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_activation(nn.LeakyReLU(), name='Leaky ReLU')" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "tensor([-0.0300, 0.0000, 3.0000])" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z = torch.tensor([-3., 0., 3.])\n", "F.leaky_relu(dummy_z, negative_slope=0.01)" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([-0.0600, 0.0000, 3.0000])" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn.LeakyReLU(negative_slope=0.02)(dummy_z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parametric ReLU (PReLU)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\Large\n", "\\begin{aligned}\n", "\\sigma(z) =&\n", "\\begin{cases}\n", "z,\\ \\text{if } z \\ge 0\n", "\\\\\n", "az,\\ \\text{if } z < 0\n", "\\end{cases}\n", "\\\\\n", "\\text{or}&\n", "\\\\\n", "\\sigma(z)=&\\text{max}(0,z)+a\\ \\text{min}(0,z)\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_activation(nn.PReLU(), name='Parametric ReLU')" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([-0.7500, 0.0000, 3.0000])" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dummy_z = torch.tensor([-3., 0., 3.])\n", "F.prelu(dummy_z, weight=torch.tensor(0.25))" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([-0.7500, 0.0000, 3.0000], grad_fn=)" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nn.PReLU(init=0.25)(dummy_z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deep Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/classification_relu2.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Configuration" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [], "source": [ "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n", "lr = 0.1\n", "\n", "torch.manual_seed(17)\n", "# Now we can create a model\n", "model_relu = nn.Sequential()\n", "model_relu.add_module('flatten', nn.Flatten())\n", "model_relu.add_module('hidden0', nn.Linear(25, 5, bias=False))\n", "model_relu.add_module('activation0', nn.ReLU())\n", "model_relu.add_module('hidden1', nn.Linear(5, 3, bias=False))\n", "model_relu.add_module('activation1', nn.ReLU())\n", "model_relu.add_module('output', nn.Linear(3, 1, bias=False))\n", "model_relu.add_module('sigmoid', nn.Sigmoid())\n", "\n", "# Defines a SGD optimizer to update the parameters\n", "optimizer_relu = optim.SGD(model_relu.parameters(), lr=lr)\n", "\n", "# Defines a binary cross entropy loss function\n", "binary_loss_fn = nn.BCELoss()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Training" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "n_epochs = 50\n", "\n", "sbs_relu = StepByStep(model_relu, binary_loss_fn, optimizer_relu)\n", "sbs_relu.set_loaders(train_loader, val_loader)\n", "sbs_relu.train(n_epochs)" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = sbs_relu.plot_losses()" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure5b(sbs_logistic, sbs_nn, sbs_relu)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Show Me the Math Again!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\large\n", "\\begin{array}{rcccccccccccc}\n", "\\text{Hidden }\\#0 & & & & & & & &\n", "\\underset{(5 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{00} \\\\\n", "z_{01} \\\\\n", "z_{02} \\\\\n", "z_{03} \\\\\n", "z_{04} \\\\\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(5 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{00} & -\\\\\n", "- & w^{T}_{01} & -\\\\\n", "- & w^{T}_{02} & -\\\\\n", "- & w^{T}_{03} & -\\\\\n", "- & w^{T}_{04} & -\n", "\\end{bmatrix}}\n", "&\n", "&\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "\\vdots \\\\\n", "x_{11} \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}\n", "\\\\\n", "\\text{Hidden }\\#1 & & & &\n", "\\underset{(3 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{10} \\\\\n", "z_{11} \\\\\n", "z_{12} \\\\\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(3 \\times 5)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{10} & -\\\\\n", "- & w^{T}_{11} & -\\\\\n", "- & w^{T}_{12} & -\\\\\n", "\\end{bmatrix}}\n", "&\n", "&\n", "\\underbrace{\n", "f_0\n", "\\underset{(5 \\times 1)}{\n", "\\left(\n", "\\begin{bmatrix}\n", "z_{00} \\\\\n", "z_{01} \\\\\n", "z_{02} \\\\\n", "z_{03} \\\\\n", "z_{04} \\\\\n", "\\end{bmatrix}\n", "\\right)}}_{\\text{Activation #0}}\n", "\\\\\n", "\\text{Output} &\n", "\\underset{(1 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{2}\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underset{(1 \\times 3)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{20} & -\\\\\n", "\\end{bmatrix}}\n", "&\n", "\\underbrace{\n", "f_1\n", "\\underset{(3 \\times 1)}{\n", "\\left(\n", "\\begin{bmatrix}\n", "z_{10} \\\\\n", "z_{11} \\\\\n", "z_{12} \\\\\n", "\\end{bmatrix}\n", "\\right)}}_{\\text{Activation #1}}\n", "\\\\\n", "\\hline\n", "\\text{substituting z's...} &\n", "\\underset{(1 \\times 1)}{\n", "\\begin{bmatrix}\n", "z_{2}\n", "\\end{bmatrix}}\n", "&\n", "=\n", "&\n", "\\underbrace{\n", "\\underset{(1 \\times 3)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{20} & -\\\\\n", "\\end{bmatrix}}}_{\\text{Output Layer}}\n", "&\n", "f_1\n", "& &\n", "\\left(\n", "\\underbrace{\n", "\\underset{(3 \\times 5)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{10} & -\\\\\n", "- & w^{T}_{11} & -\\\\\n", "- & w^{T}_{12} & -\\\\\n", "\\end{bmatrix}}}_{\\text{Hidden Layer #1}}\n", "\\right.\n", "&\n", "&\n", "f_0\n", "& &\n", "\\left(\n", "\\underbrace{\n", "\\underset{(5 \\times 25)}{\n", "\\begin{bmatrix}\n", "- & w^{T}_{00} & -\\\\\n", "- & w^{T}_{01} & -\\\\\n", "- & w^{T}_{02} & -\\\\\n", "- & w^{T}_{03} & -\\\\\n", "- & w^{T}_{04} & -\n", "\\end{bmatrix}}}_{\\text{Hidden Layer #0}}\n", "\\right.\n", "&\n", "&\n", "\\left.\n", "\\left.\n", "\\underbrace{\n", "\\underset{(25 \\times 1)}{\n", "\\begin{bmatrix}\n", "x_0 \\\\\n", "\\vdots \\\\\n", "x_{11} \\\\\n", "\\vdots \\\\\n", "x_{24}\n", "\\end{bmatrix}}}_{\\text{Inputs}}\n", "\\right)\n", "\\right)\n", "\\end{array}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Putting It All Together" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [], "source": [ "class TransformedTensorDataset(Dataset):\n", " def __init__(self, x, y, transform=None):\n", " self.x = x\n", " self.y = y\n", " self.transform = transform\n", " \n", " def __getitem__(self, index):\n", " x = self.x[index]\n", " \n", " if self.transform:\n", " x = self.transform(x)\n", " \n", " return x, self.y[index]\n", " \n", " def __len__(self):\n", " return len(self.x)" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [], "source": [ "def index_splitter(n, splits, seed=13):\n", " idx = torch.arange(n)\n", " # Makes the split argument a tensor\n", " splits_tensor = torch.as_tensor(splits)\n", " total = splits_tensor.sum().float()\n", " # If the total does not add up to one\n", " # divide every number by the total\n", " if not total.isclose(torch.ones(1)[0]):\n", " splits_tensor = splits_tensor / total\n", " # Uses PyTorch random_split to split the indices\n", " torch.manual_seed(seed)\n", " return random_split(idx, splits_tensor)" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "def make_balanced_sampler(y):\n", " # Computes weights for compensating imbalanced classes\n", " classes, counts = y.unique(return_counts=True)\n", " weights = 1.0 / counts.float()\n", " sample_weights = weights[y.squeeze().long()]\n", " # Builds sampler with compute weights\n", " generator = torch.Generator()\n", " sampler = WeightedRandomSampler(\n", " weights=sample_weights,\n", " num_samples=len(sample_weights),\n", " generator=generator,\n", " replacement=True\n", " )\n", " return sampler" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "# Builds tensors from numpy arrays BEFORE split\n", "# Modifies the scale of pixel values from [0, 255] to [0, 1]\n", "x_tensor = torch.as_tensor(images / 255).float()\n", "y_tensor = torch.as_tensor(labels.reshape(-1, 1)).float()\n", "\n", "# Uses index_splitter to generate indices for training and\n", "# validation sets\n", "train_idx, val_idx = index_splitter(len(x_tensor), [80, 20])\n", "# Uses indices to perform the split\n", "x_train_tensor = x_tensor[train_idx]\n", "y_train_tensor = y_tensor[train_idx]\n", "x_val_tensor = x_tensor[val_idx]\n", "y_val_tensor = y_tensor[val_idx]\n", "\n", "# Builds different composers because of data augmentation on training set\n", "train_composer = Compose([RandomHorizontalFlip(p=.5),\n", " Normalize(mean=(.5,), std=(.5,))])\n", "val_composer = Compose([Normalize(mean=(.5,), std=(.5,))])\n", "# Uses custom dataset to apply composed transforms to each set\n", "train_dataset = TransformedTensorDataset(x_train_tensor, y_train_tensor, transform=train_composer)\n", "val_dataset = TransformedTensorDataset(x_val_tensor, y_val_tensor, transform=val_composer)\n", "\n", "# Builds a weighted random sampler to handle imbalanced classes\n", "sampler = make_balanced_sampler(y_train_tensor)\n", "\n", "# Uses sampler in the training set to get a balanced data loader\n", "train_loader = DataLoader(dataset=train_dataset, batch_size=16, sampler=sampler)\n", "val_loader = DataLoader(dataset=val_dataset, batch_size=16)" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [], "source": [ "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n", "lr = 0.1\n", "\n", "torch.manual_seed(11)\n", "# Now we can create a model\n", "model_relu = nn.Sequential()\n", "model_relu.add_module('flatten', nn.Flatten())\n", "model_relu.add_module('hidden0', nn.Linear(25, 5, bias=False))\n", "model_relu.add_module('activation0', nn.ReLU())\n", "model_relu.add_module('hidden1', nn.Linear(5, 3, bias=False))\n", "model_relu.add_module('activation1', nn.ReLU())\n", "model_relu.add_module('output', nn.Linear(3, 1, bias=False))\n", "model_relu.add_module('sigmoid', nn.Sigmoid())\n", "\n", "# Defines a SGD optimizer to update the parameters\n", "# (now retrieved directly from the model)\n", "optimizer_relu = optim.SGD(model_relu.parameters(), lr=lr)\n", "\n", "# Defines a binary cross entropy loss function\n", "binary_loss_fn = nn.BCELoss()" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [], "source": [ "n_epochs = 50\n", "\n", "sbs_relu = StepByStep(model_relu, binary_loss_fn, optimizer_relu)\n", "sbs_relu.set_loaders(train_loader, val_loader)\n", "sbs_relu.train(n_epochs)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 2 }