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@XinyueZ
Created May 10, 2022 05:15
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collaborative_filtering.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/XinyueZ/7fbe896ae967367b68685bf93773ff18/collaborative_filtering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CQAkarBr_Z3p",
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"Recommender of vehicles\n",
"===== \n",
"\n",
"We will show `TOP_N` items."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "u3Mi0wZtfWVq",
"outputId": "4e316ee0-ea60-4d67-a157-0ca5d5bc844c"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/opt/homebrew/Cellar/jupyterlab/3.3.2/libexec/bin/python3.9\n"
]
}
],
"source": [
"import sys\n",
"print(sys.executable)\n",
"\n",
"import torch\n",
"from torch.utils.data import Dataset, DataLoader\n",
"\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import tensorflow.keras.backend as KB\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import sys\n",
"from IPython.display import clear_output\n",
"\n",
"import tensorflow as tf\n",
"from tensorflow.keras.utils import *\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "mKpfeIstfWVr",
"outputId": "22666595-2b8d-405e-afe4-ef2082045461"
},
"outputs": [
{
"data": {
"text/plain": [
"<torch._C.Generator at 0x1041b1550>"
]
},
"execution_count": 2426,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.random.seed(5)\n",
"torch.manual_seed(4)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "-WcsYCvofWVr"
},
"source": [
"# Aux methods"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "r8Y4U4i6fWVs"
},
"outputs": [],
"source": [
"def plot_history(history, *names):\n",
" plt.figure(figsize=(5.5, 5))\n",
" for name in names:\n",
" v = history[name]\n",
" try:\n",
" plt.plot(list(v.values()), label=name)\n",
" except:\n",
" plt.plot(v, label=name)\n",
" plt.xlabel(\"Epochs\")\n",
" plt.ylabel(name)\n",
" plt.legend()\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "s2B7m-FTfWVs"
},
"outputs": [],
"source": [
"def plot_history_comparing(history, name1, name2, color1='tab:green', color2='tab:red', figsize=(20, 20)):\n",
" plt.figure(figsize=figsize)\n",
"\n",
" fig, ax1 = plt.subplots()\n",
"\n",
" ax1.plot(history[name1].values(), color=color1)\n",
" ax1.set_xlabel('epoch')\n",
"\n",
" ax1.set_ylabel(name1, color=color1)\n",
" ax1.tick_params(axis='y', color=color1)\n",
"\n",
" ax2 = ax1.twinx()\n",
"\n",
"\n",
" ax2.set_ylabel(name2, color=color2)\n",
" ax2.plot(history[name2].values(), color=color2)\n",
" ax2.tick_params(axis='y', color=color2)\n",
"\n",
" fig.legend([name1, name2])\n",
" fig.tight_layout()\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "2p3761ALfWVs"
},
"outputs": [],
"source": [
"def clean():\n",
" sys.stdout.flush()\n",
" clear_output(wait=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "SENU_o-XfWVt"
},
"outputs": [],
"source": [
"def process_in_duration(message, proc):\n",
" import datetime\n",
"\n",
" tm_start = datetime.datetime.now()\n",
"\n",
" result = proc()\n",
"\n",
" tm_end = datetime.datetime.now()\n",
" delta = tm_end - tm_start\n",
"\n",
" print(f\"\\033[92m{message} used {delta}\")\n",
" return result"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "_F-oN-JNfWVt"
},
"source": [
"# Load data"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "9Z6kTjL2fWVt"
},
"source": [
"## Hyperparameter"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "cU-oC-iQfWVt",
"outputId": "51ed9ac6-f76c-4546-b0b7-4db491fdc3dc"
},
"outputs": [
{
"data": {
"text/plain": [
"(822, 510)"
]
},
"execution_count": 2431,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"selection_df = pd.read_csv('Matrix_vehicle_selection.csv')\n",
"\n",
"# Expected dimension of dataset (m x n)\n",
"m = selection_df.shape[0]\n",
"n = selection_df.shape[1]\n",
"\n",
"# Final recommendation reaches TOP_N\n",
"TOP_N = 50\n",
"\n",
"m, n"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "xWN0PZTwfWVu"
},
"source": [
"# Compute data split"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "XVpBKe9afWVu"
},
"outputs": [],
"source": [
"def splitting_data(origin_df, portion, debug_print=False):\n",
" total_size = len(origin_df)\n",
" if debug_print: print(\"total_size:\", total_size)\n",
"\n",
" sp = int(total_size * portion)\n",
" if debug_print: print(\"sp:\", sp)\n",
"\n",
" U_df = selection_df[:sp]\n",
" U_CV_df = pd.DataFrame(selection_df[sp:])\n",
"\n",
" return U_df.drop(\"driver_id\", 1), U_CV_df.drop(\"driver_id\", 1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "2omFB7PTfWVu"
},
"source": [
"# Dataset(training and cross-validation)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "6Q9C9nFTfWVu",
"outputId": "0d5f0f66-0a9e-455c-f6ab-da9d28e65b92"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"total_size: 822\n",
"sp: 657\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/2y/dvn9pv_x4rlggq_cbz850qgw0000gp/T/ipykernel_15157/3141271137.py:11: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
" return U_df.drop(\"driver_id\", 1), U_CV_df.drop(\"driver_id\", 1)\n",
"/var/folders/2y/dvn9pv_x4rlggq_cbz850qgw0000gp/T/ipykernel_15157/3141271137.py:11: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
" return U_df.drop(\"driver_id\", 1), U_CV_df.drop(\"driver_id\", 1)\n"
]
}
],
"source": [
"U_df, U_CV_df = splitting_data(selection_df, .8, True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "r4sDDIM2fWVu",
"outputId": "ccddd1ce-f19b-43f1-a059-cabd5ad65b73"
},
"outputs": [
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},
"execution_count": 2434,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U_df.head()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
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},
"id": "0XS9Tjq6fWVu",
"outputId": "b8068142-5195-4e01-a80a-f486487bef8c"
},
"outputs": [
{
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"<p>5 rows × 509 columns</p>\n",
"</div>"
],
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"[5 rows x 509 columns]"
]
},
"execution_count": 2435,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U_CV_df.head()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "I0v1RTbtfWVv"
},
"outputs": [],
"source": [
"class MRDataSet(Dataset):\n",
" def __init__(self, U_df):\n",
" self.U = U_df\n",
"\n",
" def __getitem__(self, index):\n",
" u = self.U.iloc[[index]]\n",
" x, y= (u.to_numpy())[0], (u.to_numpy())[0]\n",
" return x, y\n",
"\n",
" def __len__(self):\n",
" return len(self.U)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "xywE7KcDfWVv"
},
"outputs": [],
"source": [
"train_dataset = MRDataSet(U_df)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "9gGwxTS1fWVv"
},
"outputs": [],
"source": [
"validation_dataset = MRDataSet(U_CV_df)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "6IKcfErPfWVv"
},
"source": [
"Intro to Machine Learning Task\n",
"=====\n",
"\n",
"#### Architecture-1\n",
"\n",
"Use Variational Autoencoder(VAE), a kind of deep learning. It is an unsupervised learning, the input X is used for label, which means `Y == X`.\n",
"\n",
"`X -> ...-> latent -> ... -> X_hat`\n",
"\n",
"*Paper time:* [Training Deep AutoEncoders for Collaborative Filtering](https://arxiv.org/pdf/1708.01715.pdf)\n",
"\n",
"Three steps:\n",
"\n",
"1. Encode input features into deep units.\n",
"2. Compute latent with deep units from step 1.\n",
"3. Decoding from latent to output layout with logistic regression.\n",
"\n",
"#### Architecture-2\n",
"\n",
"Use Restricted Boltzmann Machine(RBM), a kind of shallow neural network. It is also an unsupervised learning. Generally there are two layers, so-called visible layer and hidden layer.\n",
"\n",
"The training process is to produce the probabilities between visible layer and hidden layer via the stochastic descent, this is a kind of reconstruction and our objective is to get a visible layer which is similar to the input feature vector. However, different from `VAE` which uses Gradient Descent, the weights updating of RBM is randomly with\n",
"\n",
"1. Gibbs Sampling (step1, step2)\n",
"2. Contrastive Divergence (step3)\n",
"\n",
"*Paper time:* [Restricted Boltzmann Machines for Collaborative Filtering](https://www.cs.utoronto.ca/~hinton/absps/netflixICML.pdf)\n",
"\n",
"<h4>Step 1</h4>\n",
"Given an input vector $\\mathbf{v}$, we are using $p(\\mathbf{h}|\\mathbf{v})$ to predict the hidden values $\\mathbf{h}$.\n",
" $$p({h_j}|\\mathbf v)= \\sigma\\left(\\sum_{i=1}^V W_{ij} v_i + h_{bias} \\right)$$\n",
"The samples are generated from this distribution by generating the uniform random variate vector $\\mathbf{\\xi} \\sim U[0,1]$ of length $H$ and comparing to the computed probabilities as\n",
"\n",
"<center>If $\\xi_j>p(h_{j}|\\mathbf{v})$, then $h_j=1$, else $h_j=0$.</center>\n",
"\n",
"<h4>Step 2</h4>\n",
"Then, knowing the hidden values, we use $p(\\mathbf v| \\mathbf h)$ for reconstructing of new input values v.\n",
"\n",
"$$p({v_i}|\\mathbf h)= \\sigma\\left(\\sum\\_{j=1}^H W^{T}*{ij} h_j + v*{bias} \\right)$$\n",
"\n",
"The samples are generated from this distribution by generating a uniform random variate vector $\\mathbf{\\xi} \\sim U\\[0,1]$ of length $V$ and comparing to the computed probabilities as\n",
"\n",
"<center>If $\\xi_i>p(v_{i}|\\mathbf{h})$, then $v_i=1$, else $v_i=0$.</center>\n",
"\n",
"Let vectors $\\mathbf v_k$ and $\\mathbf h_k$ be for the $k$th iteration. In general, the $kth$ state is generrated as:\n",
"\n",
"<b>Iteration</b> $k$:\n",
"\n",
"$$\\mathbf v\\_{k-1} \\Rightarrow p(\\mathbf h\\_{k-1}|\\mathbf v\\_{k-1})\\Rightarrow \\mathbf h\\_{k-1}\\Rightarrow p(\\mathbf v\\_{k}|\\mathbf h\\_{k-1})\\Rightarrow \\mathbf v_k$$\n",
"\n",
"<h4>Step 3, way to the objective: Contrastive Divergence (CD-K)</h4>\n",
"\n",
"The update of the weight matrix is done during the Contrastive Divergence step.\n",
"\n",
"Vectors v0 and vk are used to calculate the activation probabilities for hidden values h0 and hk. The difference between the outer products of those probabilities with input vectors v0 and vk results in the update matrix:\n",
"\n",
"$$\\Delta \\mathbf W_k =\\mathbf v_k \\otimes \\mathbf h_k - \\mathbf v\\_{k-1} \\otimes \\mathbf h\\_{k-1}$$\n",
"\n",
"\n",
"Contrastive Divergence is actually matrix of values that is computed and used to adjust values of the $\\mathbf W$ matrix. Changing $\\mathbf W$ incrementally leads to training of the $\\mathbf W$ values. Then, on each step (epoch), $\\mathbf W$ is updated using the following:\n",
"\n",
"$$\\mathbf W_k = \\mathbf W\\_{k-1} + \\alpha \\* \\Delta \\mathbf W_k$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "mLBzslSbfWVv"
},
"source": [
"# Architecture-1: Variational Autoencoder(VAE)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "46CaPsUhfWVv"
},
"source": [
"<br>\n",
"<img src=\"./medium/autoencoder.jpeg\" width=\"1024\" />"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "xtrAegzpfWVw"
},
"outputs": [],
"source": [
"class Latent(torch.nn.Module):\n",
" def __init__(self, linear_mu, activation_mu, linear_sigma, activation_sigma):\n",
" super(Latent, self).__init__()\n",
" self.linear_mu = linear_mu\n",
" self.activation_mu = activation_mu\n",
" self.linear_sigma = linear_sigma\n",
" self.activation_sigma = activation_sigma\n",
" self.reconstruct_loss = 0\n",
"\n",
" def compute_reconstruct_loss(self, mu, sigma):\n",
" kl_loss = 1 + sigma - torch.square(mu) - torch.exp(sigma)\n",
" self.reconstruct_loss = torch.mean(kl_loss) * -0.5\n",
"\n",
" def forward(self, x):\n",
" mu = self.linear_mu(x)\n",
" mu = self.activation_mu(mu)\n",
"\n",
" sigma = self.linear_sigma(x)\n",
" sigma = self.activation_mu(sigma)\n",
"\n",
" epsilon = torch.normal(0, 1, size=mu.size())\n",
" z = mu + torch.exp(.5 * sigma) * epsilon \n",
"\n",
" self.compute_reconstruct_loss(mu, sigma)\n",
" return z\n",
"\n",
"class Autoencoder(torch.nn.Module):\n",
" def __init__(self, in_dim, out_dim, hidden_dims=None):\n",
" super(Autoencoder, self).__init__()\n",
" assert( hidden_dims is not None)\n",
"\n",
" self.latent = None\n",
" self.layers = []\n",
" self.reconstruct_loss = 0\n",
"\n",
" self.layers = [torch.nn.Linear(in_dim, hidden_dims[0], bias=True), torch.nn.ReLU()]\n",
" for i in range(len(hidden_dims)-1):\n",
" if i == len(hidden_dims) // 2 -1:\n",
" self.latent = Latent(torch.nn.Linear(hidden_dims[i], hidden_dims[i+1], bias=True),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(hidden_dims[i], hidden_dims[i+1], bias=True),\n",
" torch.nn.ReLU()\n",
" )\n",
" self.layers.append(self.latent)\n",
" else:\n",
" self.layers.append(torch.nn.Linear(hidden_dims[i], hidden_dims[i + 1], bias=True))\n",
" self.layers.append(torch.nn.ReLU())\n",
" self.layers.append(torch.nn.Linear(hidden_dims[-1], out_dim, bias=True))\n",
" self.layers.append(torch.nn.Sigmoid())\n",
"\n",
" self.layers = torch.nn.Sequential(*self.layers)\n",
" self.layers.apply(self.init_weights)\n",
"\n",
" def init_weights(self, m):\n",
" if type(m) == torch.nn.Linear:\n",
" torch.nn.init.kaiming_normal_(m.weight) # Perfect for relu activations layers\n",
"\n",
" def forward(self, inputs):\n",
" out = self.evaluate(inputs)\n",
" self.reconstruct_loss = self.latent.reconstruct_loss\n",
" return torch.relu(torch.sign(out.detach() - torch.from_numpy(np.random.uniform(low=0, high=1, size=out.shape))))\n",
"\n",
" def evaluate(self, inputs):\n",
" inputs = inputs.type(torch.float)\n",
" out = self.layers(inputs)\n",
" return out"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "KcoFVrakfWVw"
},
"source": [
"## Trainer"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "-w0n3z1MfWVw"
},
"outputs": [],
"source": [
"class ModelTrainer():\n",
" def __init__(self, epochs, train_loader, validation_loader, model, loss_object, optimizer):\n",
" self.epochs = epochs\n",
" self.train_loader = train_loader\n",
" self.validation_loader = validation_loader\n",
" self.model = model\n",
" self.loss_object = loss_object\n",
" self.optimizer = optimizer\n",
"\n",
" self.history = {}\n",
" self.history[\"loss\"] = {}\n",
" self.history[\"validation_loss\"] = {}\n",
"\n",
" self.train_batch_count = len(self.train_loader)\n",
" self.validation_batch_count = len(self.validation_loader)\n",
"\n",
" def fit(self):\n",
" for epoch in range(self.epochs):\n",
" track_index = f\"{epoch}/{self.epochs}\"\n",
" self.history[\"loss\"][track_index] = 0\n",
" self.history[\"validation_loss\"][track_index] = 0\n",
"\n",
" ###################################################################################################\n",
" ## Training\n",
" ###################################################################################################\n",
" for x, y in self.train_loader:\n",
" yhat = self.model(x)\n",
"\n",
" loss = self.loss_object(yhat.float(), y.float())\n",
" sum_loss = loss + self.model.reconstruct_loss\n",
" self.history[\"loss\"][track_index] += sum_loss.item()\n",
"\n",
" self.optimizer.zero_grad()\n",
" sum_loss.backward()\n",
" self.optimizer.step()\n",
"\n",
" self.history[\"loss\"][track_index] = self.history[\"loss\"][track_index] / self.train_batch_count\n",
"\n",
" ###################################################################################################\n",
" ## Cross validation\n",
" ###################################################################################################\n",
" for x, y in self.validation_loader:\n",
" yhat = self.model(x)\n",
"\n",
" loss = self.loss_object(yhat.float(), y.float())\n",
" validation_sum_loss = loss + self.model.reconstruct_loss\n",
" self.history[\"validation_loss\"][track_index] += validation_sum_loss.item()\n",
"\n",
" self.history[\"validation_loss\"][track_index] = self.history[\"validation_loss\"][track_index] / self.validation_batch_count\n",
"\n",
" if epoch % 10 == 0:\n",
" clean()\n",
"\n",
" print( f\">>> Epoch: {track_index}, Loss: {self.history['loss'][track_index]:.3}, Validation Loss: {self.history['validation_loss'][track_index]:.3}\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "QDKw0fPhfWVw"
},
"source": [
"## Hyperparameter for training"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "pxnvURi-fWVw"
},
"outputs": [],
"source": [
"encoder_units = [450, 425, 400, 375, 350, 325, 300, 375, 250, 225, 200, 175, 150, 125, 100, 75, 50, 25]\n",
"decoder_units = list(reversed(encoder_units))\n",
"\n",
"epochs=500\n",
"latent_dim = 20\n",
"hidden_dims = encoder_units + [latent_dim] + decoder_units\n",
"learning_rate = 1e-4\n",
"momentum = .9 # SGD only\n",
"batch_size = len(U_df)\n",
"cv_batch_size = len(U_CV_df)\n",
"\n",
"#hidden_dims"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "oRScKrgFfWVw"
},
"source": [
"## Hayperparameter for input features"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "KNZP63R2fWVw"
},
"outputs": [],
"source": [
"in_dim = U_CV_df.shape[1]\n",
"out_dim = in_dim"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "WaikVDUMfWVw"
},
"source": [
"# 🧨 Compile model"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "gPJeZFkffWVw"
},
"outputs": [],
"source": [
"train_loader = DataLoader(dataset=train_dataset,\n",
" batch_size=batch_size,\n",
" shuffle=True)\n",
"\n",
"validation_loader = DataLoader(dataset=validation_dataset,\n",
" batch_size=cv_batch_size,\n",
" shuffle=False)\n",
"\n",
"assert in_dim == out_dim\n",
"\n",
"autoencoder = Autoencoder(in_dim=in_dim,\n",
" out_dim=out_dim,\n",
" hidden_dims=hidden_dims)\n",
"\n",
"trainer = ModelTrainer(epochs=epochs,\n",
" train_loader=train_loader,\n",
" validation_loader=validation_loader,\n",
" model=autoencoder,\n",
" loss_object=torch.nn.MSELoss(),\n",
" optimizer=torch.optim.SGD(autoencoder.parameters(), lr=learning_rate, momentum=momentum ))\n",
"#autoencoder"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "TxOQ1JVLfWVw"
},
"source": [
"# Run autoencoder model training"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "RJRMmHkQfWVw",
"outputId": "e43c9f31-17b1-4707-af34-ad5ce9d3e2c3"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
">>> Epoch: 490/500, Loss: 0.512, Validation Loss: 0.515\n",
">>> Epoch: 491/500, Loss: 0.514, Validation Loss: 0.517\n",
">>> Epoch: 492/500, Loss: 0.512, Validation Loss: 0.515\n",
">>> Epoch: 493/500, Loss: 0.512, Validation Loss: 0.516\n",
">>> Epoch: 494/500, Loss: 0.513, Validation Loss: 0.516\n",
">>> Epoch: 495/500, Loss: 0.512, Validation Loss: 0.515\n",
">>> Epoch: 496/500, Loss: 0.512, Validation Loss: 0.516\n",
">>> Epoch: 497/500, Loss: 0.513, Validation Loss: 0.514\n",
">>> Epoch: 498/500, Loss: 0.513, Validation Loss: 0.514\n",
">>> Epoch: 499/500, Loss: 0.512, Validation Loss: 0.516\n",
"\u001b[92mTraining done. used 0:00:30.303801\n"
]
}
],
"source": [
"process_in_duration(\"Training done.\", lambda : trainer.fit())"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "QbVvv7zMfWVw",
"outputId": "4633b77f-d5c3-4c8d-f5f5-20ce2cda2db2"
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 396x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_history(trainer.history, \"loss\", \"validation_loss\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "wFbbZp2xfWVx",
"outputId": "52fdb928-6fac-4a68-89c0-0afd0dfb9a2c"
},
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 1440x1440 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_history_comparing(trainer.history, \"loss\", \"validation_loss\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "24ES1S1-fWVx"
},
"source": [
"# Sampling"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "2zPTKfXafWVx"
},
"outputs": [],
"source": [
"def infer_recommendation(input, U_df, item_column_name, proba_column_name, n_top, evaluate, debug_print=False):\n",
" # Probabilities of being recommended\n",
" proba_list = evaluate(input)\n",
" proba_list = np.array(proba_list)\n",
" if debug_print: print(\"proba_list\", proba_list)\n",
"\n",
" # Mask, convert >5 to 1, otherwise 0\n",
" mask = np.array((proba_list >= .5), dtype=\"int8\")\n",
" if debug_print: print(\"mask\", mask)\n",
"\n",
" # Select all index of ==1 items\n",
" args_eq_1 = np.argwhere(mask == 1)[:, 1]\n",
" if debug_print: print(\"args_eq_1\", args_eq_1)\n",
"\n",
" # List out all ides in U, order sensitive!\n",
" ids_list = np.array(U_df.columns.tolist())\n",
" if debug_print: print(\"ids_list\", ids_list)\n",
"\n",
" # Find out ids where proba == 1\n",
" recommended_ids = np.array(ids_list)[args_eq_1]\n",
" if debug_print: print(\"recommended_ids\", len(recommended_ids))\n",
"\n",
" # Find out ids where proba == 1\n",
" recommended_proba_list = proba_list[0][args_eq_1]\n",
" if debug_print: print(\"recommended_proba_list\", len(recommended_proba_list))\n",
"\n",
" all_in_df = pd.DataFrame()\n",
" all_in_df[item_column_name] = recommended_ids.transpose()\n",
" all_in_df[proba_column_name] = recommended_proba_list.transpose()\n",
"\n",
" all_in_df = all_in_df.sort_values(proba_column_name, ascending=False)\n",
"\n",
" top_n_df = all_in_df[:n_top]\n",
"\n",
" return all_in_df, top_n_df"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "11-0wwzhfWVx"
},
"outputs": [],
"source": [
"random_input = torch.tensor(np.round(np.random.uniform(0, 1, size=[1,in_dim])))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "n8RMekPAfWVx"
},
"outputs": [],
"source": [
"all_in_df, top_n_df = infer_recommendation(input=random_input,\n",
" U_df=U_df,\n",
" item_column_name = \"Vehicle ID\",\n",
" proba_column_name=\"Proba\",\n",
" n_top=int(TOP_N/3),\n",
" evaluate=lambda input: autoencoder.evaluate(\n",
" input).detach())"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "J5FXMtV4fWVx"
},
"source": [
"## Analytic on recommendation result"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "wVd8CHL_fWVx",
"outputId": "39c36219-a9b2-403f-c4d6-211095fe87ff"
},
"outputs": [
{
"data": {
"text/plain": [
"(0.8, 1.0)"
]
},
"execution_count": 2452,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = top_n_df.plot.bar(\"Vehicle ID\", y=\"Proba\")\n",
"ax.set_ylim(0.8, 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "-FikW48bfWVx",
"outputId": "098dfe7f-531f-45b0-a256-7c04b8a9053b"
},
"outputs": [
{
"data": {
"text/plain": [
"(0.5, 1.0)"
]
},
"execution_count": 2401,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = all_in_df.plot.bar(\"Vehicle ID\", y=\"Proba\")\n",
"ax.set_ylim(0.5, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "IJ0kC7EZfWVx"
},
"source": [
"# Architecture-2: Restricted Boltzmann Machine (BRM)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "bH0YPgWsfWVx"
},
"source": [
"<br>\n",
"<img src=\"./medium/rbm.jpeg\" width=\"1024\" />"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "uucdy57kfWVx"
},
"outputs": [],
"source": [
"class RBM:\n",
" def __init__(self, dim_visible, dim_hidden, latent=None):\n",
" \"\"\"_summary_\n",
"\n",
" Args:\n",
" dim_visible (int): Visible layer dimension, input feature\n",
" # dim_hidden (int): Hidden layer dimension, independent events that are inferred from feature units.\n",
" \"\"\"\n",
" self.history = {}\n",
" self.history[\"loss\"] = {}\n",
" self.history[\"validation_loss\"] = {}\n",
"\n",
" # Interceptors (bias)\n",
" self.bias_visible = tf.keras.initializers.HeUniform()(shape=[dim_visible]) # Perfect for relu activations layers\n",
" self.bias_hidden = tf.keras.initializers.HeUniform()(shape=[dim_hidden])\n",
"\n",
" # Coofficients (weights)\n",
" ## We define the parameters in the network, the first dimention is connection counts, the 2nd is hidden nodes count.\n",
" self.theta = tf.Variable(tf.zeros([dim_visible, dim_hidden]), tf.float32)\n",
"\n",
" self.latent = latent\n",
"\n",
" def forwards(self, visible_state, theta, bias_hidden, train=True):\n",
" z = tf.matmul([visible_state], theta) + bias_hidden\n",
"\n",
" proba_hidden = tf.nn.sigmoid(z)\n",
"\n",
" hidden_state = tf.nn.relu(tf.sign(proba_hidden - tf.random.uniform(tf.shape(proba_hidden))))\n",
"\n",
" return hidden_state if train == True else proba_hidden\n",
"\n",
" def backwards(self, hidden_state, theta, bias_visible, train=True):\n",
" z = tf.matmul(hidden_state, tf.transpose(theta)) + bias_visible\n",
"\n",
" if self.latent is not None:\n",
" z = self.latent(z, z)\n",
"\n",
" proba_visible = tf.nn.sigmoid(z)\n",
"\n",
" visible_state = tf.nn.relu(tf.sign(proba_visible - tf.random.uniform(tf.shape(proba_visible))))\n",
"\n",
" return visible_state[0] if train == True else proba_visible\n",
"\n",
" def loss_object(self, x0, x1):\n",
" return tf.reduce_mean(tf.square(x0 - x1))\n",
"\n",
" def fit(self, epochs, K, train_ds, validation_ds, learning_rate):\n",
" for epoch in range(epochs):\n",
" epoch_track_index=f\"{epoch}/{epochs}\"\n",
" self.history[\"loss\"][epoch_track_index]={}\n",
" self.history[\"validation_loss\"][epoch_track_index]={}\n",
" #\n",
" # Output epoch info\n",
" #\n",
" if epoch % 4 == 0: self.clean()\n",
" sys.stdout.write(f\"{'*':^5}Epoch: {epoch_track_index}\\n\")\n",
"\n",
" for batch_num, Xs in enumerate(train_ds):\n",
" epoch_batch_track_index=f\"{batch_num}/{len(train_ds)}\"\n",
" self.history[\"loss\"][epoch_track_index][epoch_batch_track_index]={}\n",
"\n",
" for idx, x0 in enumerate(Xs):\n",
" epoch_batch_sample_track_index=f\"{idx}/{len(Xs)}\"\n",
" self.history[\"loss\"][epoch_track_index][epoch_batch_track_index][epoch_batch_sample_track_index]=0\n",
" for k in range(K):\n",
" x1, delta_W, delta_V, delta_H = self.train_step(x0)\n",
" self.update(delta_W, delta_V, delta_H, learning_rate)\n",
" self.history[\"loss\"][epoch_track_index][epoch_batch_track_index][epoch_batch_sample_track_index] += self.loss_object(x0, x1)\n",
" self.history[\"loss\"][epoch_track_index][epoch_batch_track_index][epoch_batch_sample_track_index] = self.history[\"loss\"][epoch_track_index][epoch_batch_track_index][epoch_batch_sample_track_index] / K\n",
"\n",
" self.history[\"loss\"][epoch_track_index][epoch_batch_track_index]=sum(self.history[\"loss\"][epoch_track_index][epoch_batch_track_index].values())/len(Xs)\n",
" #\n",
" # Output batch result\n",
" #\n",
" sys.stdout.write(f\"{'':^10}{'Batch:'}{epoch_batch_track_index:>5}, loss: {self.history['loss'][epoch_track_index][epoch_batch_track_index]:>.3f}\\n\")\n",
"\n",
" self.history[\"loss\"][epoch_track_index]=sum(self.history[\"loss\"][epoch_track_index].values())/len(train_ds)\n",
" #\n",
" # Validation\n",
" #\n",
" for batch_num, Xs in enumerate(validation_ds):\n",
" epoch_batch_track_index=f\"{batch_num}/{len(validation_ds)}\"\n",
" gens = self.evaluate(Xs, True)\n",
" self.history[\"validation_loss\"][epoch_track_index][epoch_batch_track_index]=self.loss_object(Xs, gens)\n",
" self.history[\"validation_loss\"][epoch_track_index]=sum(self.history[\"validation_loss\"][epoch_track_index].values())/len(validation_ds)\n",
" sys.stdout.write(f\"{'':^10}loss: {self.history['loss'][epoch_track_index]:>5.3f}, {'validation loss':>5}: {self.history['validation_loss'][epoch_track_index]:>.3f}\\n\")\n",
"\n",
" def train_step(self, x):\n",
" ##Gibbs sampling\n",
" # Forward\n",
" visible_state = x\n",
" hidden_state = self.forwards(visible_state, self.theta, self.bias_hidden)\n",
" visible_state_T = tf.transpose([visible_state])\n",
"\n",
" ## Backward\n",
" rebuilt_visible_state = self.backwards(hidden_state, self.theta, self.bias_visible)\n",
" rebuilt_hidden_state = self.forwards(rebuilt_visible_state, self.theta, self.bias_hidden)\n",
" rebuilt_visible_state_T = tf.transpose([rebuilt_visible_state])\n",
"\n",
" # objective: contrastive divergence,CD\n",
" delta_W = tf.matmul(visible_state_T, hidden_state) - tf.matmul(rebuilt_visible_state_T, rebuilt_hidden_state)\n",
" delta_V = visible_state - rebuilt_visible_state\n",
" delta_H = hidden_state - rebuilt_hidden_state\n",
"\n",
" return rebuilt_visible_state, delta_W, delta_V, delta_H\n",
"\n",
" def update(self, delta_W, delta_V, delta_H, learning_rate):\n",
" self.theta = self.theta + learning_rate * delta_W\n",
" self.bias_visible = self.bias_visible + learning_rate * tf.reduce_mean(delta_V, 0)\n",
" self.bias_hidden = self.bias_hidden + learning_rate * tf.reduce_mean(delta_H, 0)\n",
"\n",
" def clean(self):\n",
" sys.stdout.flush()\n",
" clear_output(wait=True)\n",
"\n",
" def evaluate(self, x, train=False):\n",
" theta, bias_hidden, bias_visible = (self.theta, self.bias_hidden, self.bias_visible)\n",
" hidden_state = self.forwards(x, theta, bias_hidden, train=train)\n",
" hidden_state = tf.round(hidden_state)\n",
" rebuilt_visible_state = self.backwards(hidden_state, theta, bias_visible, train=train)\n",
" return rebuilt_visible_state\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "YFHtRldRfWVy"
},
"source": [
"# Dataset(training and cross-validation)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "u09o9JGjfWVy",
"outputId": "c519f47b-53a3-427e-c98f-cff39a1a85fb"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"total_size: 822\n",
"sp: 657\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/2y/dvn9pv_x4rlggq_cbz850qgw0000gp/T/ipykernel_15157/3141271137.py:11: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
" return U_df.drop(\"driver_id\", 1), U_CV_df.drop(\"driver_id\", 1)\n",
"/var/folders/2y/dvn9pv_x4rlggq_cbz850qgw0000gp/T/ipykernel_15157/3141271137.py:11: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
" return U_df.drop(\"driver_id\", 1), U_CV_df.drop(\"driver_id\", 1)\n"
]
}
],
"source": [
"U_df, U_CV_df = splitting_data(selection_df, .8, True)"
]
},
{
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"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "UOP2oYEZfWVy",
"outputId": "184b3c1e-d58b-4fcb-e8f9-be95c5e0b02c"
},
"outputs": [
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" </tbody>\n",
"</table>\n",
"<p>5 rows × 509 columns</p>\n",
"</div>"
],
"text/plain": [
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"[5 rows x 509 columns]"
]
},
"execution_count": 2405,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U_CV_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "qpBS2OxYfWVy"
},
"source": [
"## Hyperparameter for training"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "pzn019vZfWVy"
},
"outputs": [],
"source": [
"epochs=500\n",
"K=6\n",
"learning_rate=1e-7\n",
"\n",
"#\n",
"# The RBM is not using Gradient Descent, it is using:\n",
"# Gibbs Sampling and Contrastive Divergence \n",
"#\n",
"BATCH_SZ = len(U_df)\n",
"CV_BATCH_SZ = len(U_CV_df)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "AyL-yUCzfWVy"
},
"source": [
"## Hyperparameter for input features"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "UarWTyqefWVy",
"outputId": "ed18bcd3-f00d-4ff9-fcb8-1dd60f23593d"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dim_hidden 20\n",
"dim_visible 509\n"
]
}
],
"source": [
"dim_visible = U_df.shape[1]\n",
"dim_hidden = 20\n",
"\n",
"print(\"dim_hidden\", dim_hidden)\n",
"print(\"dim_visible\", dim_visible)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "eelaYXbEfWVy"
},
"source": [
"## Dataset"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "d_yFq2lqfWVz"
},
"outputs": [],
"source": [
"train_ds = tf.data.Dataset.from_tensor_slices(U_df.to_numpy().astype('float32')).shuffle(\n",
" 1024).batch(BATCH_SZ)\n",
"validation_ds = tf.data.Dataset.from_tensor_slices(U_CV_df.to_numpy().astype('float32')).batch(\n",
" CV_BATCH_SZ)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "alH9vQ8JfWVz"
},
"source": [
"# 🧨 Compile model"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "Ltab5fPTfWVz"
},
"source": [
"## 💥 Add latent during backward\n",
"\n",
"Adjust the origin RBM blueprint, here we insert a latent in backward to transform the hidden states intro gaussian.\n",
"\n",
"This can increase the \"generative\" quality of the model without the accompanying overfitting.\n",
"\n",
"**By \"generative\" quality improvement, we mean that the probability range is increased from (0.5-0.6] to (0.7-1).**"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "5-04Exf_fWVz"
},
"source": [
"<br>\n",
"<img src=\"./medium/rbm-backward-latent.jpeg\" width=\"2024\" />"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "pHUzh--VfWVz"
},
"outputs": [],
"source": [
"restricted_boltzmann = RBM(dim_visible=dim_visible,\n",
" dim_hidden=dim_hidden,\n",
" latent=lambda mu, sigma: mu + KB.exp(.5 * sigma) * KB.random_normal(\n",
" shape=mu.shape))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "tQaNFQGdfWVz",
"outputId": "5822e70f-68f1-4d6d-be6b-09a80891ddd1"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" * Epoch: 496/500\n",
" Batch: 0/1, loss: 0.480\n",
" loss: 0.480, validation loss: 0.471\n",
" * Epoch: 497/500\n",
" Batch: 0/1, loss: 0.480\n",
" loss: 0.480, validation loss: 0.471\n",
" * Epoch: 498/500\n",
" Batch: 0/1, loss: 0.479\n",
" loss: 0.479, validation loss: 0.469\n",
" * Epoch: 499/500\n",
" Batch: 0/1, loss: 0.479\n",
" loss: 0.479, validation loss: 0.468\n",
"\u001b[92mTraining done. used 0:25:40.164543\n"
]
}
],
"source": [
"process_in_duration(\"Training done.\", lambda: restricted_boltzmann.fit(epochs=epochs, K=K, train_ds=train_ds, validation_ds=validation_ds, learning_rate=learning_rate))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "vybSPyKAfWVz",
"outputId": "e002d6e0-03d3-4e34-faaf-bf8922619f09"
},
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 1440x1440 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_history_comparing(restricted_boltzmann.history, \"loss\", \"validation_loss\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "8AXAf2nafWVz",
"outputId": "a56b9ec8-2430-49f6-ced8-330681e6ad41"
},
"outputs": [
{
"data": {
"image/png": 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tUkqFkgbyMDQkLT5g+RVzlvRwS5RSvYEG8jA0a9Lgds9d8NhCZjzySQ+2RikVahrIw8gJI9IB+OFZR/HpXTMC1lm/t4KdJTU+ZZ9tLubVvD3Bbp5SKkR0+mEY+dcNx9NirDzkw9ITSImLpry28ZDXfevZLwG4LHdIsJuolAoB7ZGHEadDiPaaK77wp6e3W/efi3dyxZzF/HPJLk+ZJtpSKjJpjzyMtTe3HOAXb64HYMn2Uk/Z7tIajhmUHPR2KaV6lgbyMPfhj05l8/4qHCJ891/L/c6PHZTMhsIKAHaVVGsgVyoCaSAPc6P6JzGqfxIFZbUBzxeWt5bvr6jvqWYppXqQjpFHiPhoZ8DygzWtL0OrdIxcqYikgTxCxMcEDuTenvx0G1v2V/ZAa5RSPUkDeYRwdSLzYWVdExc89nkPtEYp1ZM0kEcIkcBJtdzcObfcW8kppSKHBvIIdu+FYz2fHYcI9Eqp8KWzViLUCSPS+fbJw1m/t4Kk2CieX7TTc27W45/TL8HFc9cfF7oGKqW6jQbyCDJ2UDIiVr6Vq44fCsAfLpsI4BPIV+eXh6J5Sqkg0UAeQd65/ZRQN0EpFQI6Rt7HHD+8n+eze155SVU9t720slMJuJRSvY8G8j7i6unWUMupR2V6yu57az1n/mEBzy/aydzVe/nn4p0hap1S6khoIO8jHrh4AjsePJ9ZkwaTFGuNqL2al8+24mqq65sBKK6s52B1QyibqZTqAg3kfYiIkJ0Wzxd3n+FTvtvewPkfi3cx+f75oWiaUuoIaCDvg5Jjo1nw4xme43UFvrNYjDF+11TWNfLMwu00t/ifU0qFlgbyPionI4Enr54KwL6KOp9zdY3+qz+f+GQbD8zbyFur9/ZI+5RSnaeBvA87Z9wAn+MHvz4BsFLfzltT6HPOvcR/e3FVj7RNKdV5Gsj7MBFh9S9neo5T46wdh+55fS23vriCvJ2tuwslxFgvSAvKfHvvSqnQ00Dex6XERfPXb07hte+eQIodyJfusAL4Xa+toabBmmteWWf9WVBWE5qGKqXapSs7FedPGATA+r2+Lz13HKjmv8vzWbqjlHfWWkMtRbrLkFK9jvbIlUdqvMuvbG1BOW+vKcQ9WWVfRV3AWS1KqdDRQK480uKj/crmtpmlUtPQrFvGKdXLaCBXHvGuKF69+QSfskBTEfdXBH7h+dcFW31ekCqleoYGcuXjuOH9mJaTxq++NpbYaOvb45TRGT518g/W+l1njOHh9zZx6ZOLe6SdSqlWGsiVn/9890SuO2k4SbHWUMvYwcmAtS+oy+ng8y0H/K6pqNPhFqVCRWetqHZV1llpbXPSE3j7ByeTkRjDT/67hs+3+gdyTbalVOhoj1y1yz0+Pi0njfFZKQxMiWVgcgxlNf55y0trWgP5N55cxIEqnaaoVE/RQK7a5R4jH5mZ6CmLd0Wxr6KOe15f41PXu0e+bOdBXl+R3zONVEoFN5CLyLkisklEtorI3R3Umy0iRkRy7WOXiDwnImtFZLWIzPCqO9Uu3yoij4no9vDBMv+O0/jgjlPx/k8c73IC8NKXe6hvavaUl7QZWomLdvZMI5VSwRsjFxEn8ARwNpAPLBORucaYDW3qJQG3A0u9im8EMMZMEJH+wLsiMs0Y0wL8zT6/FHgHOBd4N1jP0ZcN6RfvV+YO5AAlVQ0s21nKhxuLyEyM8annirL6CEu3lzA4NS7gvZRS3SOYLzuPA7YaY7YDiMjLwCxgQ5t69wO/A+7yKhsLfAxgjCkSkTIgV0T2AMnGmCX2PV8ALkYDeY+Jd7V+y/zpw828uWov9U0tfouJahuaaWhq4fI5S4iJcrDpgfN6uqlK9RnBHFrJAvZ4HefbZR4iMgUYYoyZ1+ba1cBFIhIlIsOBqcAQ+3rvwVe/e6rg8u6Rv5qXT32T9UL0YJsXoGvyy1m1pwyA+qYWffmpVBCFbPqhiDiAR4HrApx+FjgGyAN2AYuA5gD1Orr/TcBNAEOHDj2Spiovca7OjX2/vrKATzYVeY73lNaQ0Wb4RSnVPYLZIy/A6kW7ZdtlbknAeGCBiOwEpgNzRSTXGNNkjLnDGDPJGDMLSAU229dnd3BPD2PMHGNMrjEmNzMzM1AV1QUJLv+f/SeOTAfA6RCfHrt3L724UnvkSgVLpwK5iNwuIsli+buIrBCRmYe4bBkwWkSGi4gLuAKY6z5pjCk3xmQYY3KMMTnAEuAiY0yeiMSLSIL9d58NNBljNhhjCoEKEZluz1b5FvDmYT+16rL4Nj3ya6YPY1h6AgDnjR/IhvvO9TmfZG9IsWxnKesKyqmqb2LRNv8FRUqpruvs0Mq3jTF/FpFzgDTgGuCfwAftXWCMaRKR7wPvA07gWWPMehG5D8gzxsxt71qgP/C+iLRg9biv8Tp3C/A8EIf1klNfdPYg99DKyMwEPrpzBgD/WrILgLpG/9GvsYOTWbqjlKcX7uDphTs48+j+fPRVEXk/P0uHWpTqJp0N5O6JxOcD/7QD8iHnbxtj3sGaIuhddm87dWd4fd4JjGmnXh7WkIwKgVh7frjT0fq//+iBSUDgbeCyUuNIio3y7DC0Ot/avKK+qYVF2w5QcLCWb+QO8btOKdV5nR0jXy4iH2AF8vftud/++U1VxHPvKeHw+jk+bnAKWalx/OQc/5+9VfVNnuAPeGav1Dc28+znO3j4/U3BbbBSfUBne+TfASYB240xNSLSD7g+aK1SvdbwjAQGJMdwz/nHeMriXE6+uPsMz3Hez8+ioamFZxbu4OtTsigsr+Pxj7d4euNgbVCxt6yOkqp6bnwhj69NHMxFEwf36LMoFSk6G8hPAFYZY6pF5GpgCvDn4DVL9VZxLidL/++sDuu4x77v/dpYAMZnpTA8I4GzHv3UU6eusZnC8lpaDMzfsJ/5G/Zz0sh00nXcXKnD1tmhlb8BNSIyEbgT2Aa8ELRWqYjTdgl/aXWD3yKiix7/oiebpFTE6GwgbzLWjruzgMeNMU9gzQNXqlOSYqPwej/KjgPVfnUKyvx3HlJKHVpnA3mliNyDNQ1wnr0q03+nXqXa4XAIqfEuz/H2Yv9ArpTqms4G8suBeqz55PuwVlQ+ErRWqYiUGtf6s39bcZXf+Zx0zZCoVFd0KpDbwfvfQIqIXAjUGWN0jFwdllSvDIl5uw76nBs7KJnKuiYWbyvhW89+ya0vrqClxfR0E5UKS51don8Z8CXwDeAyYKmIXBrMhqnIkxLX/mhcVlocJdUNXPn0Ej7bXMy8NYWsKShvt75SqlVnh1Z+BkwzxlxrjPkWVq7xXwSvWSoSbSisaPdcVmocAP2TYnjy6ik4HcJtL63k3bWFlLbZfaipuYW7/rOarUWVQW2vUuGis4HcYYwp8jouOYxrlQLg4km+qeP/fMUkz+f+ydb0xNPH9Ofc8YMYOyiZ3aU1fO/fK5j2mw/57Tsb2Wj/INhzsJb/LM/nyqeXopTqfDB+T0TeF5HrROQ6YB5tcqgodSh3n3c0X93fmh1x1qQsvmav5qxrtDI+pCdaM1vOHjvAU6+5xTDns+3c8coqAM9eoZoaVylLp1Z2GmPuEpHZwEl20RxjzP+C1ywViUSE2Ggn47OSyR3WD4BHL5vIAxeP5/MtVmrbE+zc5rfMGMlJo9JZsr2UR+x8LK4oB8YYahpasywaY+hE/ja+2HqAhJgoJg1J7eanUir0xJjInxmQm5tr8vLyQt0M1QFjDHtKaxkaYAri3f9dw8vLrF0Dvz4li69Pzubqv1vDKkcPTOLEkRmedADtybnb2k1w50MXdHPLleo5IrLcGJPbtrzDoRURqRSRigBflSLS/psrpQ6TiAQM4gC/vWQCU4amAvD6igJqGpo8577aV8mzX+zwHN/64gr+u7x1W9etRVUB86QrFUk6HFoxxugyfBVyDodQXtual8V7aMWtuLKeLUWVzFtTyLw1hcyemk15bSNnPfops6dk+9VXKpLozBMVFo7NTvV8rvbqkbt9vrWYq7xmsTQ1t1Bw0MrdsmR7SdDbp1QoaSBXYeE3l4zn/AkDAfjZ/9b5nd+w13ekr7C8LmASrr7wTkj1PRrIVViId0VxzriB7Z5/euEOn+Oq+ibyD9YAvlkVq+r9e/NKhTsN5CpszBw7kLGDkjtVt6q+iT2l/j1y77F2pSKFBnIVNuJcTubddrJP2XE5/QLWraprYvnug37lZTUayFXk6exWb0r1Ct6Lfz780akMSomjoq6REx782Kde/sEa1uSX+V2/obCClLhohvTTlLkqcmiPXIWdMQOsWbGj+ieREBPFoJQ4vzofbNhP2/eaLqeDn7y2hlMe/sTz0rO8tpGcu+fx/vp9QW+3UsGigVyFnbd+cLJPzhaAzCTfPUEX2kv+L51qzSH/6v5zmTVpsOf8++v3sfNANWvzrVS5f/98By0thrydpcFsulJBoYFchR1XlIPYaKdP2Yd3nMaiu89g+2/P95Rdd2IOv71kAl/+35nERjsZkZnoOffdf63g0icXUVJtJd7KSHTxwuKdXPrkYj7ZVIRS4UQDuYoIKfHRDE6Nw+G1w/O9F47FFeWgf3IsAMMzfMfFS6obyLcXDfVLcLHN3kd0V4CNoZXqzTSQq4jlHdQBstN8A/m4wcnsLqnxHEc5rfpNusWcCjMayFXESYqJYlpOml/5+KwUnr9+GlOHWefWFVTwSp6VVbGmvpkohwZyFZ50+qGKOGt+NdNvxorbjDH9mTGmP7e+uIJ5awo95VX1TZ4hGM2WqMKNBnIVcUSEQ+01kRTT+q3vinJQ09DsCeC6aEiFGw3kqk+Kd1nf+rfMGMnagnKq6ps8eVjKaho6ulSpXkcDueqTWuyxl7R4FwmuKPZX1FFtB/I3Vu2lscVQWtXAdSfldJisS6neQAO56pPcGzjHupzExziprm/2yYzoHj9fvL2EzQ+cR4sxfnPXleotdNaK6pPqGlsAiI1ykOCKoqbBGlo5ZXSGX92rnl7CSQ+15nI54w8LuMbeM/SJT7aysVB3PVShpYFc9Unjs1IAGNk/kbT4aA7WNLJydxkJLv9fUvN2HaSkusGT13x7cTULtxygqr6JR97fxDefWep3jVI9SQO56pOuPzGHD+44lSlD0xg1oHVr2pNGpfPxnafhdPhPe/lyh++WcfvK6wCdrqhCTwO56pMcDuEoO4AfM7A1kF9zQg4jMhNZ/cuZXDN9mM81RRX1NDW3eI7XFpQB6Ni5CjkN5KrPG56RAOCTHTExJoobTxnhOY6NdlBcWU+Z1w5Dd7yyGoA4DeQqxHTWiurzopwOlv/8LJJio33Kh6bHc9HEwQzPSOB/KwsorqoPOMc8JspBSVU9Vz69hDOOHsAtp4+kpKrB8wNCqWDTQK4UkJ4YE7D8sSsnA7BgUxFvrtpLoDQsNQ3NbC2qYvN+6+vJT7cBsOres0mNdwWtzUq56dCKUp2wbq81xfCt1Xs9ZRdPGsyNpwynrLaByromv2sOVHVuheiXO0p5Z23hoSsq1Q4N5Ep1whXThviVxbmcpMa7qGtsobiq3u98ZV3ncrZc9tRibvn3iiNuo+q7dGhFqU64f9Z4fnHhWDYWVvDmqr08v2gnsdFORvW3dh36fOsBv2sC9dKVCgbtkSvVCQ6HEBvtZPLQNK45wZqWeOnUbE4cmU6UQ3xS4rq5A3n+wRq27K885N/RrHnQVRdpj1ypwzQyM5GdD13gc7xpfyUup4MGr3nmlXWN/HXBVh5+bxPRTuHxq6aQnuAiN6dfwPuW1zbSL0FfjqrDpz1ypY5QVlocAImxvv2iyromFm+zVoM2Nhtu/udyLn1ysef8uoJynxwumj5XdZUGcqWOUFaqFciTYqN8VoP+5p2NrNpd5ld/T6m1T+hjH23x5G8BfBYbKXU4NJArdYTcPXIB7ps1jq2/Oc9zrrK+idH2C1G3Ux7+BGjd7NlNe+SqqzSQK3WEctKtFZz9ElyICFFO339WE+xMi97W7y3nnbX7fMoOVmuPXHWNBnKljtCZx/Tn79fm8perpnjKfnjWaM/n8QEC+SV/XeRXtuNAtefz2vxy5m/YzyPvf8XS7SV+dZXyprNWlDpC0U4HZx4zwKfsh2cdxZ8+3AIEDuQNTS1+ZWsLynl7zV7mb9jPm6taV5A+8ck2n1kySrUV1EAuIucCfwacwDPGmIfaqTcbeA2YZozJE5Fo4Blgit3GF4wxD9p1dwKVQDPQZIzJDeYzKHWkhqXHd6rOp5uL+XRzsd85d2r0hqYWXFH6S7TyF7TvChFxAk8A5wFjgStFZGyAeknA7YD3NivfAGKMMROAqcDNIpLjdf50Y8wkDeIqHCTFHrq/9ODXJ3DJ5CyuPM4/FUBKXDS7Sqo56ufv8uaqgk79nVv2V3LP62t1kVEfEcwf78cBW40x240xDcDLwKwA9e4HfgfUeZUZIEFEooA4oAHQjRFVWPn0rhl8fOdpncpXPi2nH3+8fBJXt9nMAqxAvq24CoD/riggb2cpS7aXMPbe99hul7f1vX+v4KUvd7PjQODzKrIEM5BnAXu8jvPtMg8RmQIMMcbMa3Pta0A1UAjsBn5vjCm1zxngAxFZLiI3tfeXi8hNIpInInnFxf6/rioVbMPSExiRmYiI7zTDQNvIRdszXRJj/HvvKXHRxERZPwyq6hq59MnFXDFnCTUNzby+InAPvcXTE/f/u1TkCdmAm4g4gEeBOwOcPg5rDHwwMBy4U0Tc27WcbIyZgjVkc6uInBro/saYOcaYXGNMbmZmZvc/gFKHYftvz+f2M62ZLLMmDm63XnyAzZ83FlZ6Nnhev9f3F9MWE3joxF0e6KWqijzBDOQFgPeAX7Zd5pYEjAcW2C8wpwNzRSQXuAp4zxjTaIwpAr4AcgGMMQX2n0XA/7CCvlK9msMhuEPu0PR4nrx6qufcizcc7/kcqEfunb+lvk1gfuqz7WwtqmSuV550wPN31erG0H1CMAP5MmC0iAwXERdwBTDXfdIYU26MyTDG5BhjcoAlwEXGmDys4ZQzAEQkASvIfyUiCfbLUXf5TGBdEJ9BqW6TmWglxOqfFMsZR/f3lJ84KsPzOTb68P5JNrcYznr0M257aSVFla2vmdwd9ToN5H1C0KYfGmOaROT7wPtY0w+fNcasF5H7gDxjzNwOLn8CeE5E1mMN8j1njFljD6/8zx5zjAJeNMa8F6xnUKo7XXX8MJJio7lo4mAcAcbJAb/x9MNRXtNI/6RYAIzdJ//Hop3sKa3hiuOGdvm+qvcL6jxyY8w7wDttyu5tp+4Mr89VWFMQ29bZDkzs3lYq1TOcDuHiyVl+Zd2luKqe0QOSgNYe+Qcb9vPBhv0ayCOcri5QKkRevfkEFvx4Rrvn37j1JJ8hGICXbpzOr77mtxwDgA17KyiutLaca/sO9IP1+wJcoSKFBnKlQuS44f0Y0q/9VZ+ThqT6TR48YWQ6xw1PD1j/gXkbOevRTwOeu+mfy1m6vcQT6FVk0VwrSvUyX5s42BPA285SAThqQKJfmVu5ndPcBJiWePmcJYzqn8iHPzqtW9qpeg8N5Er1Mn+5crLnc6B54FFOB9Ny0hgzMIkoh4PnF+30q9PeyvytRdZKT2PMEb1YVb2LDq0o1Yu1t+DnP989kQcunkBmUgwAIzITmD0lG5fTgTGm3fnjqfHRvLGygDG/eI/lu0oD1lHhRwO5Ur3Y778xkaunD2XBj628LW1l2HPTj+qfxJiBiTQ0t3Driyuorm8KeL/0BBdPfrqNhqYWVuwqo6m5hbyd/gHde0666v00kCvVi+VkJPDAxRPIybDytrSVkWj1yONjnKTFW0H9nbX7aGpnbCU13kVNg9Vb31teyx/mb+bSJxezrqAcgM+3HCDn7nkc95uPPHuLqt5Px8iVCmPuQJ7giiK2gyyLp4zOYF95HXtKayiyZ64UltVRWW+9HN28v5KUuGgWbCryXFNYXuczq+aSv35BdX0TH9yhL0t7G+2RKxXGMuwx8niXk2x7E2i312850fM5KTaKowYmeYI4QEFZLXWN1svUH726mlMe/oTiqtbzlXWN1DU2s7esFoCVu8vYvF/T4vZGGsiVCmMZiS5cUQ76JbiYPDTNZ4HRxOxU7jpnDACCEO/VY3dFOVhbUM7yXQd97ldwsJaBydYy/8q6Jm58IY8TH/o44HRG1Xvo0IpSYSwmyskbt5zEUHs7uZyMBFb+4mxKqutxOoQY99ZwAlHO1umGxw/vx8ItB/zut7OkmvFZKeyrqKOirtFTJ9B8dtV7aI9cqTA3dnCyT/rbtAQXo/pbOVfce3wKeF5y/vTcozmzzdJ/twNVDRwzKBmACntxEVi9c7fGZg3qvY0GcqUimHvnIRHxTEkcnpFAuv2SNJBjBiUTE+XwCd6Vda1B/YQHP+Ljr/YHqcWqK3RoRakI5nK29tWq660eeUKME6ej/X/6YwYkkRwXzd7y1rnkP3ltjefzgaoGfvLaGmKjnUwemuazElWFhvbIlYpg7jS5Alw6NRuAMQOTPNMWkwLsSDQ8I4Hk2Cje8tp1KK/NS9G6xhbyD9by1uq9LN9VSpMOt4SU9siVimDuDSZEYPbUbGbbwVzstFwOh/DzC46xpicOSGJvWR2uKAfJcdEd3rfKa+Xo7L8tJtopTB2Wxr9vmN6tOdZV52ggV6oPSk9wccW0IVw+bQiTh6Z5yifb+08cPTCZlbvLOn2/xmbDku2lVNQ2kpbg6ubWqkPRoRWlIph7+nfbPrLDITw0+1ifIO5t8pBUAPontf9SNBDvF6Sq52iPXKkI5gnkh5mydvbUbETgwmMHc8y9gbfFjXYKjc2+C4UqvGa3eKuub6K2sdkzNq+6l/bIleoDDnfU2ukQvpE7hDiXk6H94rksN5spQ1N96swY4z8Xvb1Afv5jC8l94MPDbIXqLA3kSkUw9+Ke08Zkdvken/3kdB6+dCKv33KSp+z+i8czMkA2xheX7sYYw7biKuZ6zXrZVdJxJsWWFsO7awtpaW9HDNUhHVpRKoKNHZzM6l/OJOUQs1AO1zXTh/HnD7f4lb+9phCHiCeIf+3YQQGHdWobmolzteZ++ffSXfzizfX8/hsTPdMkVedpj1ypCNedQfzkURmez/Fegdh7xqF3T7y81neoZV1BOSf/7mOOufc9Fm1tzfWycV8l4JsWQHWeBnKlVKc9f/00Nj1wLoBPj3rdr88JWP/Cv3xOfVPrtnM3vpBH/kErLe7P3ljHF3Ywdwf89ra2Ux3TQK6U6rQop4OYKCuAe/fI49rZ1CL/YC23/GuF57isprXHveNANd98ZikARRVWOoDS6oZub3NfoIFcKdUl3oFcRNpd0fnRV627DgXaFHp7cZUnL3pJlQbyrtBArpTqkjiX71yJbb89v0v3eWXZHlqMtYtRSXX9oS9QfnTWilKqS0b1959+eO0Jw3BFOTAGnvl8B2ePHUBWahzPL9rZ7n0WbComMymGMQOSKNGhlS7RQK6U6pKs1Di/sl/PGu/5/O2Th9MvwcVfPvafpgjw/dNH8fgnW9m0v5IZYzJJiYtm9+6O55urwDSQK6W67PGrJns2rGhrsB3o3S9H27p82hAe/2QrYKXWbWwylFTp0EpXaCBXSnXZhccOPmQdz76hXr5z8nAyvRJyDU9PoKS6geqGZuoam4ltZxaMCkwDuVIqqNoG8uevn+aXp2VYeoLnc0l1AwUHaxmUEsuQfvEB71lcWU+/BJfmPrfprBWlVFBNGeabKndogOA8LD3es49oSVU9lz21mBm/XxDwfuU1jUz7zYc8/N5X3d7WcKWBXCkVVMdmp7L6lzMZkWH1urPSWl+SzrlmKieNSmdgcizpidaGFF/Zy/Wb20mgVWyPo7++siCYzQ4rOrSilAq6lLhoXr5pOhsKK3xefs4cN5CZ4wYCkJFg9ciXbi/1nP/rgq08/N4mJmSl8NYPTgbgYI01RbG4sp7bXlpJZV0jv//GRE+Pvi/SHrlSqkf0T44NmMPcbUBKDCKwcEuxp+zh9zYBsLagnL1ltdQ2NPus/py7ei+fbCpmzsLtwWt4GNAeuVKqV4iJctI/KYb9FYGnIJ740MftXlvUzjV9hfbIlVK9Rnaa9SJ0+oh+ZNhj5tNyAu8r6q3AzqgI0NDUQmNzS3Aa2EtpIFdK9RoDU2IBGD84hRH2DkTuXY7auur4oZ7PB+wcLWc9+ilH/fxdLnr8Cz5Yv4+ahr6xGbQGcqVUrzF7ShYXHjuIG04Zwf2zxjOkXxyX5Q7xqxcT5eDsYwZ4jstrGmlsbmFrURUAGwsruOmfy312MWpqbqEpQnvqOkaulOo1zjh6AGccbQXogSmxLPzJGQD86Oyj+OOHm3HvOzHvtlPISW+dj15a08Ct/17hd7/6phaMfdGlTy7mQFU9n//0jCA/Rc/THrlSqte77czRXG73zH9+wTGM6p9IlNPBwp+czs2njcAY+GDDfr/rEmOiGH7PO1z21GJW7Skj/6A186WusbndeerhSAO5UiosuHvj8V550If0i2dUpn863XsvHAtARZ21I9GynQc954659z2O/sV7XPn0Ej75qogn7MRd4UyHVpRSYS013uVz/MOzRnPdiTk8v2inz2yWtr7cUcqXO6zFR1dPH9atm1T3NO2RK6XCgsHqkkubPFlJsVZ/dGi/eN649SR+eNZROBxCUmwU24qrOnXvRfYm0G3d//YG/vTh5q43uodoIFdKhYWrpw8D4NSjMn3Kk2OtnvT5EwYxaUiqT/nOks5tVLGxsMLnuKCslqbmFj7fcoDPNhe3c1XvoUMrSqmwcGx2KjsfusCvfOzgZP77vROYNMR34VBynG94G5GRwPYD1QHvvbvUCvifbi6mpKqeH726mnGDk6luaKK+yX/D6N5GA7lSKuxNHdbPr8zdUwcY0i+Ou84Zw/cCTFGMdznZY4+lX/vsl57y9XsriI12EO3s/QMXvb+FSinVBe7l/hOHpLLwJ2cwMsBm0QDjBiezq50hmLrGFirrWnvlb64qYOXugwHrhpL2yJVSEenm00bQ1NLC+RMGAa099MEpsewtr/PUO3FkBst2buF/K/PbvdfB6kYGpji5/eVVALxy03TyD9Yye2p28B7gMAS1Ry4i54rIJhHZKiJ3d1BvtogYEcm1j6NF5B8islZENorIPYd7T6VU3xYb7eTOmWM8uVoGpsTyzm2nsOCu07n/4vGeet89bSQZiTG8sHhXu/cqqa6ntqF1rPzyOUu48z+rPcf7K+oCXdZjghbIRcQJPAGcB4wFrhSRsQHqJQG3A0u9ir8BxBhjJgBTgZtFJKez91RKqUDGDk7GFeUgObZ1MCLO5SQzKYaVu8vavW7emkJ+7BW4Pfe79z3eWr2X43/7kWdOultLi+HR+Zs5UBX8FLvB7JEfB2w1xmw3xjQALwOzAtS7H/gd4P0jzQAJIhIFxAENQMVh3FMppdqV1mYRUXqCq52almcW7mDe2kK/8pqGZt5esxeAy55azG6vsfZlO0t57KMt3P3ftd3Q4o4FM5BnAXu8jvPtMg8RmQIMMcbMa3Pta0A1UAjsBn5vjCntzD2VUupQJman+hzHRHUcChs6yJrozrgIcN/b6z2fm+2cAu40AcEUspedIuIAHgWuC3D6OKAZGAykAQtF5MPDvP9NwE0AQ4cOPURtpVRfkhLvuxy/8QgSaG0rbp2bXtvoP+e8J5JzBTOQFwDeiYSz7TK3JGA8sECsNbcDgbkichFwFfCeMaYRKBKRL4BcrN54R/f0MMbMAeYA5ObmRk6aM6VUt3jz1pM8vebGJqvHfcdZR7Fgc1GH4+Vuw9Lj/aYt1ni9EHW/HO2JQB7MoZVlwGgRGS4iLuAKYK77pDGm3BiTYYzJMcbkAEuAi4wxeVjDKWcAiEgCMB346lD3VEqpzpo4JJUpQ63VoKMHWHPMZ44bwEs3Tmfp/53pqRcX7fS79phByXxy5wzOGTfAp9x7Zku1/bnFhHEgN8Y0Ad8H3gc2Aq8aY9aLyH12r7sjTwCJIrIeK3g/Z4xZ0949g/UMSqm+4f/OP4Z/fuc4jhmUTGy0kwHJsZ5zE4ek+NWfNWkwDocwe4rvPPKv9lVSXmuNidfUW9vMNTWH99AKxph3gHfalN3bTt0ZXp+rsKYgduqeSil1JGKjnZwyOjPguQlZKRRX1nvGwi/PHcI1dgKv4RkJfvVvfCGPV26a7umR5x+sob6pGZfTwc6SGnLS45G2KRyPkK7sVEqpAF684Xiy0+IZmh7P908fzcT7PgDgd5ce66kzpF+833Vf7ijlLx9vxR2qK+qa+N6/VrCntIYtRVU89PUJXHFc907A0FwrSikVwImjMhhq7wvqznl+4sh0nzqxbcbPX7pxOgBrC8o9PXKAj78qYos9TXHOZ9u7va3aI1dKqUNwOIQPf3Qqg1Li/M69e/spnPfnhQCcMDKdM4/uz/wN+1mZ6Jtc6+uTsxiWnsCfPtpMbUMzcS7/l6hdbl+33UkppSLYqP5JJMT4933duVzc+tsvSg9UNZCVGscoO+vikH7xjBmYiDGwpaiyW9umgVwppbpRbUOT53O8y+kZK89MiuGoAUkAbNqngVwppXqt284c7fk8MCWWRnt5f0ZiDMPSE/jxzKOYkO0/pfFIaCBXSqluNCIzkf87/2gABibH0mjPI89McuF0CN8/YzRHD0zu6BaHTV92KqXUEfrT5ZOo88qz0mQvy0+KjfbpkQeL9siVUuoIXTw5y2du+Olj+gPw9SlZXDRxMBDcQC6mB/IAhFpubq7Jy8sLdTOUUn1Qc4uhoraRtEPkPO8MEVlujMltW649cqWUCiKnQ7oliHdEA7lSSoU5DeRKKRXmNJArpVSY00CulFJhTgO5UkqFOQ3kSikV5jSQK6VUmNNArpRSYU4DuVJKhTkN5EopFeb6RK4VESkGdnXh0gzgQDc3pzeJ5OeL5GcDfb5w19XnG2aMyWxb2CcCeVeJSF6gBDWRIpKfL5KfDfT5wl13P58OrSilVJjTQK6UUmFOA3nH5oS6AUEWyc8Xyc8G+nzhrlufT8fIlVIqzGmPXCmlwpwG8gBE5FwR2SQiW0Xk7lC3pytE5FkRKRKRdV5l/URkvohssf9Ms8tFRB6zn3eNiEwJXcs7R0SGiMgnIrJBRNaLyO12eUQ8o4jEisiXIrLafr5f2+XDRWSp/RyviIjLLo+xj7fa53NC+gCdICJOEVkpIm/bxxHzbAAislNE1orIKhHJs8uC8v2pgbwNEXECTwDnAWOBK0VkbGhb1SXPA+e2Kbsb+MgYMxr4yD4G61lH2183AX/roTYeiSbgTmPMWGA6cKv9/ylSnrEeOMMYMxGYBJwrItOB3wF/NMaMAg4C37Hrfwc4aJf/0a7X290ObPQ6jqRnczvdGDPJa6phcL4/jTH65fUFnAC873V8D3BPqNvVxWfJAdZ5HW8CBtmfBwGb7M9PAVcGqhcuX8CbwNmR+IxAPLACOB5rEUmUXe75XgXeB06wP0fZ9STUbe/gmbLtQHYG8DYgkfJsXs+4E8hoUxaU70/tkfvLAvZ4HefbZZFggDGm0P68Dxhgfw7rZ7Z/1Z4MLCWCntEeelgFFAHzgW1AmTGmya7i/Qye57PPlwPpPdrgw/Mn4CdAi32cTuQ8m5sBPhCR5SJyk10WlO/PqCNtqQpPxhgjImE/ZUlEEoH/Aj80xlSIiOdcuD+jMaYZmCQiqcD/gKND26LuISIXAkXGmOUiMiPEzQmmk40xBSLSH5gvIl95n+zO70/tkfsrAIZ4HWfbZZFgv4gMArD/LLLLw/KZRSQaK4j/2xjzul0cUc8IYIwpAz7BGm5IFRF3B8z7GTzPZ59PAUp6tqWddhJwkYjsBF7GGl75M5HxbB7GmAL7zyKsH8THEaTvTw3k/pYBo+036C7gCmBuiNvUXeYC19qfr8UaV3aXf8t+cz4dKPf69a9XEqvr/XdgozHmUa9TEfGMIpJp98QRkTis8f+NWAH9Urta2+dzP/elwMfGHmztbYwx9xhjso0xOVj/vj42xnyTCHg2NxFJEJEk92dgJrCOYH1/hvqFQG/8As4HNmONSf4s1O3p4jO8BBQCjVjjbd/BGlf8CNgCfAj0s+sK1kydbcBaIDfU7e/E852MNQa5Blhlf50fKc8IHAustJ9vHXCvXT4C+BLYCvwHiLHLY+3jrfb5EaF+hk4+5wzg7Uh7NvtZVttf691xJFjfn7qyUymlwpwOrSilVJjTQK6UUmFOA7lSSoU5DeRKKRXmNJArpVSY00Cu+jwRabYz1Lm/ui3jpYjkiFcGSqWCQZfoKwW1xphJoW6EUl2lPXKl2mHnk37Yzin9pYiMsstzRORjO2/0RyIy1C4fICL/s3OIrxaRE+1bOUXkaTuv+Af2Sk1E5Dax8qmvEZGXQ/SYKgJoIFcK4toMrVzuda7cGDMBeBwrYx/AX4B/GGOOBf4NPGaXPwZ8aqwc4lOwVvSBlWP6CWPMOKAMmG2X3w1Mtu/z3eA8muoLdGWn6vNEpMoYkxigfCfW5g7b7QRd+4wx6SJyACtXdKNdXmiMyRCRYiDbGFPvdY8cYL6xNhJARH4KRBtjHhCR94Aq4A3gDWNMVZAfVUUo7ZEr1THTzufDUe/1uZnWd1MXYOXXmAIs88r8p9Rh0UCuVMcu9/pzsf15EVbWPoBvAgvtzx8B3wPPphAp7d1URBzAEGPMJ8BPsVKz+v1WoFRnaA9AKXuM3Ov4PWOMewpimoiswepVX2mX/QB4TkTuAoqB6+3y24E5IvIdrJ7397AyUAbiBP5lB3sBHjNW3nGlDpuOkSvVDnuMPNcYcyDUbVGqIzq0opRSYU575EopFea0R66UUmFOA7lSSoU5DeRKKRXmNJArpVSY00CulFJhTgO5UkqFuf8HwCsEH+0GmXgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 396x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_history(restricted_boltzmann.history, \"loss\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "PCwHr5MMfWVz",
"outputId": "26ddba8e-ce1e-4c86-e951-0a821047d5f7"
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 396x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_history(restricted_boltzmann.history, \"validation_loss\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "fEuD78wdfWVz"
},
"source": [
"## Sampling"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "o3ugaAdmfWVz"
},
"outputs": [],
"source": [
"random_input = tf.Variable(tf.round(tf.random.uniform([in_dim,],0,1)))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "_J4VTVnefWVz"
},
"outputs": [],
"source": [
"all_in_df, top_n_df = infer_recommendation(input=random_input,\n",
" U_df=U_df,\n",
" item_column_name=\"Vehicle ID\",\n",
" proba_column_name=\"Proba\",\n",
" n_top=int(TOP_N/3),\n",
" evaluate=lambda input: restricted_boltzmann.evaluate(\n",
" input))"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
},
"id": "LKYddknvfWVz"
},
"source": [
"## Analytic on recommendation result"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "2l9zmG5bfWVz",
"outputId": "5cac2065-3347-4991-e532-684853e26728"
},
"outputs": [
{
"data": {
"text/plain": [
"(0.8, 1.0)"
]
},
"execution_count": 2423,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = top_n_df.plot.bar(\"Vehicle ID\", y=\"Proba\")\n",
"ax.set_ylim(0.8, 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "a64CXvmafWVz",
"outputId": "8eaf868c-bfe1-4e09-d86e-417bdc49a280"
},
"outputs": [
{
"data": {
"text/plain": [
"(0.5, 1.0)"
]
},
"execution_count": 2417,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = all_in_df.plot.bar(\"Vehicle ID\", y=\"Proba\")\n",
"ax.set_ylim(0.5, 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"id": "F44o2zMJfWV0"
},
"outputs": [],
"source": [
""
]
}
],
"metadata": {
"accelerator": "TPU",
"colab": {
"collapsed_sections": [],
"machine_shape": "hm",
"name": "collaborative_filtering.ipynb",
"provenance": [],
"toc_visible": true,
"include_colab_link": true
},
"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": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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