547 lines
17 KiB
Plaintext
547 lines
17 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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"# Binary extension MLP for ordinal regression and deep learning -- cement strength dataset"
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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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"This tutorial explains how to train a deep neural network (here: multilayer perceptron) with the binary extension method by Niu at al. 2016 for ordinal regression. \n",
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"\n",
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"**Paper reference:**\n",
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"\n",
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"- Niu, Zhenxing, Mo Zhou, Le Wang, Xinbo Gao, and Gang Hua. \"[Ordinal regression with multiple output cnn for age estimation](https://openaccess.thecvf.com/content_cvpr_2016/papers/Niu_Ordinal_Regression_With_CVPR_2016_paper.pdf).\" In Proceedings of the IEEE conference on computer vision and pattern recognition."
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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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"## 0 -- Obtaining and preparing the cement_strength dataset"
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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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"We will be using the cement_strength dataset from [https://github.com/gagolews/ordinal_regression_data/blob/master/cement_strength.csv](https://github.com/gagolews/ordinal_regression_data/blob/master/cement_strength.csv).\n",
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"\n",
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"First, we are going to download and prepare the and save it as CSV files locally. This is a general procedure that is not specific to CORN.\n",
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"\n",
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"This dataset has 5 ordinal labels (1, 2, 3, 4, and 5). Note that the method requires labels to be starting at 0, which is why we subtract \"1\" from the label column."
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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": 1,
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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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"Number of features: 8\n",
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"Number of examples: 998\n",
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"Labels: [0 1 2 3 4]\n"
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]
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}
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],
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"source": [
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"import pandas as pd\n",
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"import numpy as np\n",
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"\n",
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"\n",
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"data_df = pd.read_csv(\"https://raw.githubusercontent.com/gagolews/ordinal_regression_data/master/cement_strength.csv\")\n",
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"\n",
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"data_df[\"response\"] = data_df[\"response\"]-1 # labels should start at 0\n",
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"\n",
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"data_labels = data_df[\"response\"]\n",
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"data_features = data_df.loc[:, [\"V1\", \"V2\", \"V3\", \"V4\", \"V5\", \"V6\", \"V7\", \"V8\"]]\n",
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"\n",
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"print('Number of features:', data_features.shape[1])\n",
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"print('Number of examples:', data_features.shape[0])\n",
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"print('Labels:', np.unique(data_labels.values))"
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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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"tags": []
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},
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"source": [
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"### Split into training and test data"
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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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"source": [
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"from sklearn.model_selection import train_test_split\n",
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"\n",
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"\n",
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"X_train, X_test, y_train, y_test = train_test_split(\n",
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" data_features.values,\n",
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" data_labels.values,\n",
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" test_size=0.2,\n",
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" random_state=1,\n",
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" stratify=data_labels.values)"
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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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"### Standardize features"
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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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"from sklearn.preprocessing import StandardScaler\n",
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"\n",
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"\n",
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"sc = StandardScaler()\n",
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"X_train_std = sc.fit_transform(X_train)\n",
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"X_test_std = sc.transform(X_test)"
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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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"## 1 -- Setting up the dataset and dataloader"
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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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"In this section, we set up the data set and data loaders using PyTorch utilities. This is a general procedure that is not specific to the method."
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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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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Training on cuda:0\n"
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]
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}
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],
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"source": [
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"import torch\n",
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"\n",
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"\n",
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"##########################\n",
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"### SETTINGS\n",
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"##########################\n",
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"\n",
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"# Hyperparameters\n",
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"random_seed = 1\n",
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"learning_rate = 0.05\n",
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"num_epochs = 50\n",
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"batch_size = 128\n",
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"\n",
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"# Architecture\n",
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"NUM_CLASSES = 10\n",
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"\n",
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"# Other\n",
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"DEVICE = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
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"print('Training on', 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": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"from torch.utils.data import Dataset\n",
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"\n",
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"\n",
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"class MyDataset(Dataset):\n",
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"\n",
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" def __init__(self, feature_array, label_array, dtype=np.float32):\n",
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" \n",
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" self.features = feature_array.astype(np.float32)\n",
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" self.labels = label_array\n",
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"\n",
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" def __getitem__(self, index):\n",
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" inputs = self.features[index]\n",
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" label = self.labels[index]\n",
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" return inputs, label\n",
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"\n",
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" def __len__(self):\n",
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" return self.labels.shape[0]"
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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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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Input batch dimensions: torch.Size([128, 8])\n",
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"Input label dimensions: torch.Size([128])\n"
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]
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}
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],
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"source": [
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"import torch\n",
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"from torch.utils.data import DataLoader\n",
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"\n",
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"\n",
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"# Note transforms.ToTensor() scales input images\n",
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"# to 0-1 range\n",
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"train_dataset = MyDataset(X_train_std, y_train)\n",
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"test_dataset = MyDataset(X_test_std, y_test)\n",
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"\n",
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"\n",
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"train_loader = DataLoader(dataset=train_dataset,\n",
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" batch_size=batch_size,\n",
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" shuffle=True, # want to shuffle the dataset\n",
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" num_workers=0) # number processes/CPUs to use\n",
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"\n",
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"test_loader = DataLoader(dataset=test_dataset,\n",
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" batch_size=batch_size,\n",
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" shuffle=False,\n",
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" num_workers=0)\n",
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"\n",
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"# Checking the dataset\n",
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"for inputs, labels in train_loader: \n",
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" print('Input batch dimensions:', inputs.shape)\n",
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" print('Input label dimensions:', labels.shape)\n",
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" break"
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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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"## 2 - Equipping MLP with a modified output layer"
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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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"In this section, we are using the output layer as it was originally implemented by Niu et al. This is actually very similar to a standard output layer as we can see below:"
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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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"class MLP(torch.nn.Module):\n",
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"\n",
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" def __init__(self, in_features, num_classes, num_hidden_1=300, num_hidden_2=300):\n",
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" super().__init__()\n",
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" \n",
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" self.num_classes = num_classes\n",
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" self.my_network = torch.nn.Sequential(\n",
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" \n",
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" # 1st hidden layer\n",
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" torch.nn.Linear(in_features, num_hidden_1, bias=False),\n",
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" torch.nn.LeakyReLU(),\n",
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" torch.nn.Dropout(0.2),\n",
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" torch.nn.BatchNorm1d(num_hidden_1),\n",
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" \n",
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" # 2nd hidden layer\n",
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" torch.nn.Linear(num_hidden_1, num_hidden_2, bias=False),\n",
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" torch.nn.LeakyReLU(),\n",
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" torch.nn.Dropout(0.2),\n",
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" torch.nn.BatchNorm1d(num_hidden_2),\n",
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" )\n",
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" \n",
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" ### Specify Niu et al. layer\n",
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" self.fc = torch.nn.Linear(num_hidden_2, (num_classes-1)*2)\n",
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" ###--------------------------------------------------------------------###\n",
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" \n",
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" def forward(self, x):\n",
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" x = self.my_network(x) \n",
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" logits = self.fc(x)\n",
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" \n",
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" ### Reshape logits for Niu et al. loss\n",
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" logits = logits.view(-1, (self.num_classes-1), 2)\n",
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" ###--------------------------------------------------------------------### \n",
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" return logits\n",
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" \n",
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" \n",
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" \n",
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"torch.manual_seed(random_seed)\n",
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"model = MLP(in_features=8, num_classes=NUM_CLASSES)\n",
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"model.to(DEVICE)\n",
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"\n",
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"optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"
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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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"## 3 - Using the extended binary loss for model training"
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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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"During training, all you need to do is to \n",
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"\n",
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"\n",
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"\n",
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"\n",
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"1) convert the integer class labels into the extended binary label format using the `levels_from_labelbatch` provided via `coral_pytorch`:\n",
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"\n",
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"```python\n",
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" levels = levels_from_labelbatch(class_labels, \n",
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" num_classes=NUM_CLASSES)\n",
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"```\n",
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"\n",
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"2) Apply the extended binary loss:\n",
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"\n",
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"```python\n",
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"def niu_et_al_loss(logits, levels):\n",
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" val = (-torch.sum((F.log_softmax(logits, dim=2)[:, :, 1]*levels\n",
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" + F.log_softmax(logits, dim=2)[:, :, 0]*(1-levels)), dim=1))\n",
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" return torch.mean(val)\n",
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"\n",
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"loss = niu_et_al_loss(logits, levels)\n",
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"```\n"
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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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"#!pip install coral-pytorch"
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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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"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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"Epoch: 001/050 | Batch 000/007 | Loss: 6.8903\n",
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"Epoch: 002/050 | Batch 000/007 | Loss: 2.6211\n",
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"Epoch: 003/050 | Batch 000/007 | Loss: 2.8005\n",
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"Epoch: 004/050 | Batch 000/007 | Loss: 1.1442\n",
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"Epoch: 005/050 | Batch 000/007 | Loss: 0.7746\n",
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"Epoch: 006/050 | Batch 000/007 | Loss: 1.3391\n",
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"Epoch: 007/050 | Batch 000/007 | Loss: 0.9629\n",
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"Epoch: 008/050 | Batch 000/007 | Loss: 0.8995\n",
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"Epoch: 009/050 | Batch 000/007 | Loss: 1.2059\n",
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"Epoch: 010/050 | Batch 000/007 | Loss: 0.9444\n",
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"Epoch: 011/050 | Batch 000/007 | Loss: 0.9605\n",
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"Epoch: 012/050 | Batch 000/007 | Loss: 0.8075\n",
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"Epoch: 013/050 | Batch 000/007 | Loss: 0.7014\n",
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"Epoch: 014/050 | Batch 000/007 | Loss: 0.8392\n",
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"Epoch: 015/050 | Batch 000/007 | Loss: 0.6986\n",
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"Epoch: 016/050 | Batch 000/007 | Loss: 0.5953\n",
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"Epoch: 017/050 | Batch 000/007 | Loss: 0.5665\n",
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"Epoch: 018/050 | Batch 000/007 | Loss: 0.8357\n",
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"Epoch: 019/050 | Batch 000/007 | Loss: 0.6777\n",
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"Epoch: 020/050 | Batch 000/007 | Loss: 0.6479\n",
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"Epoch: 021/050 | Batch 000/007 | Loss: 0.7408\n",
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"Epoch: 022/050 | Batch 000/007 | Loss: 0.6845\n",
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"Epoch: 023/050 | Batch 000/007 | Loss: 0.6907\n",
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"Epoch: 024/050 | Batch 000/007 | Loss: 0.8215\n",
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"Epoch: 025/050 | Batch 000/007 | Loss: 0.6827\n",
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"Epoch: 026/050 | Batch 000/007 | Loss: 0.6347\n",
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"Epoch: 027/050 | Batch 000/007 | Loss: 0.7414\n",
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"Epoch: 028/050 | Batch 000/007 | Loss: 0.5251\n",
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"Epoch: 029/050 | Batch 000/007 | Loss: 0.6075\n",
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"Epoch: 030/050 | Batch 000/007 | Loss: 0.4576\n",
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"Epoch: 031/050 | Batch 000/007 | Loss: 0.5426\n",
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"Epoch: 032/050 | Batch 000/007 | Loss: 0.8073\n",
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"Epoch: 033/050 | Batch 000/007 | Loss: 0.7842\n",
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"Epoch: 034/050 | Batch 000/007 | Loss: 0.7738\n",
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"Epoch: 035/050 | Batch 000/007 | Loss: 0.8197\n",
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"Epoch: 036/050 | Batch 000/007 | Loss: 0.8191\n",
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"Epoch: 037/050 | Batch 000/007 | Loss: 0.7680\n",
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"Epoch: 038/050 | Batch 000/007 | Loss: 0.5169\n",
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"Epoch: 039/050 | Batch 000/007 | Loss: 0.7163\n",
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"Epoch: 040/050 | Batch 000/007 | Loss: 0.6532\n",
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"Epoch: 041/050 | Batch 000/007 | Loss: 0.5271\n",
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"Epoch: 042/050 | Batch 000/007 | Loss: 0.4311\n",
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"Epoch: 043/050 | Batch 000/007 | Loss: 0.7078\n",
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"Epoch: 044/050 | Batch 000/007 | Loss: 0.5553\n",
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"Epoch: 045/050 | Batch 000/007 | Loss: 0.5620\n",
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"Epoch: 046/050 | Batch 000/007 | Loss: 0.5877\n",
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"Epoch: 047/050 | Batch 000/007 | Loss: 0.5003\n",
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"Epoch: 048/050 | Batch 000/007 | Loss: 0.5545\n",
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"Epoch: 049/050 | Batch 000/007 | Loss: 0.4634\n",
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"Epoch: 050/050 | Batch 000/007 | Loss: 0.4013\n"
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]
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}
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],
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"source": [
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"import torch.nn.functional as F\n",
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"from coral_pytorch.dataset import levels_from_labelbatch\n",
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"\n",
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"\n",
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"def niu_et_al_loss(logits, levels):\n",
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" val = (-torch.sum((F.log_softmax(logits, dim=2)[:, :, 1]*levels\n",
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" + F.log_softmax(logits, dim=2)[:, :, 0]*(1-levels)), dim=1))\n",
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" return torch.mean(val)\n",
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"\n",
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"\n",
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"for epoch in range(num_epochs):\n",
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" \n",
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" model = model.train()\n",
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" for batch_idx, (features, class_labels) in enumerate(train_loader):\n",
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"\n",
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" ##### Convert class labels for extended binary loss\n",
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" levels = levels_from_labelbatch(class_labels, \n",
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" num_classes=model.num_classes)\n",
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" ###--------------------------------------------------------------------###\n",
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"\n",
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" features = features.to(DEVICE)\n",
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" levels = levels.to(DEVICE)\n",
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" logits = model(features)\n",
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" \n",
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" #### Niu et al. loss loss \n",
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" loss = niu_et_al_loss(logits, levels)\n",
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" ###--------------------------------------------------------------------### \n",
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" \n",
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" \n",
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" optimizer.zero_grad()\n",
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" loss.backward()\n",
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" optimizer.step()\n",
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" \n",
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" ### LOGGING\n",
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" if not batch_idx % 200:\n",
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" print ('Epoch: %03d/%03d | Batch %03d/%03d | Loss: %.4f' \n",
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" %(epoch+1, num_epochs, batch_idx, \n",
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" len(train_loader), loss))"
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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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"tags": []
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},
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"source": [
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"## 4 -- Evaluate model\n",
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"\n",
|
|
"Finally, after model training, we can evaluate the performance of the model. For example, via the mean absolute error and mean squared error measures.\n",
|
|
"\n",
|
|
"For this, we are going to use the `niu_logits_to_label` utility function below.\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def niu_logits_to_labels(logits):\n",
|
|
" probas = F.softmax(logits, dim=2)[:, :, 1]\n",
|
|
" predict_levels = probas > 0.5\n",
|
|
" predicted_labels = torch.sum(predict_levels, dim=1)\n",
|
|
" return predicted_labels\n",
|
|
"\n",
|
|
"\n",
|
|
"def compute_mae_and_mse(model, data_loader, device):\n",
|
|
"\n",
|
|
" with torch.no_grad():\n",
|
|
" \n",
|
|
" mae, mse, acc, num_examples = 0., 0., 0., 0\n",
|
|
"\n",
|
|
" for i, (features, targets) in enumerate(data_loader):\n",
|
|
"\n",
|
|
" features = features.to(device)\n",
|
|
" targets = targets.float().to(device)\n",
|
|
"\n",
|
|
" logits = model(features)\n",
|
|
" predicted_labels = niu_logits_to_labels(logits)\n",
|
|
"\n",
|
|
" num_examples += targets.size(0)\n",
|
|
" mae += torch.sum(torch.abs(predicted_labels - targets))\n",
|
|
" mse += torch.sum((predicted_labels - targets)**2)\n",
|
|
"\n",
|
|
" mae = mae / num_examples\n",
|
|
" mse = mse / num_examples\n",
|
|
" return mae, mse"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"train_mae, train_mse = compute_mae_and_mse(model, train_loader, DEVICE)\n",
|
|
"test_mae, test_mse = compute_mae_and_mse(model, test_loader, DEVICE)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Mean absolute error (train/test): 0.29 | 0.31\n",
|
|
"Mean squared error (train/test): 0.32 | 0.36\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(f'Mean absolute error (train/test): {train_mae:.2f} | {test_mae:.2f}')\n",
|
|
"print(f'Mean squared error (train/test): {train_mse:.2f} | {test_mse:.2f}')"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.8.12"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|