battery-anomaly-detection/notebooks/simple_anomaly_detection.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Univariate Time Series Anomaly Detection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## boilerplate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "\n",
    "import copy\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from pylab import rcParams\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import rc\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score, confusion_matrix\n",
    "\n",
    "from torch import nn, optim\n",
    "\n",
    "import torch.nn.functional as F\n",
    "import random\n",
    "import datetime\n",
    "# from arff2pandas import a2p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<torch._C.Generator at 0x7f968690c5f0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# %matplotlib inline\n",
    "# %config InlineBackend.figure_format='retina'\n",
    "\n",
    "sns.set(style='whitegrid', palette='muted', font_scale=0.7)\n",
    "\n",
    "HAPPY_COLORS_PALETTE = [\"#01BEFE\", \"#FFDD00\", \"#FF7D00\", \"#FF006D\", \"#ADFF02\", \"#8F00FF\"]\n",
    "\n",
    "sns.set_palette(sns.color_palette(HAPPY_COLORS_PALETTE))\n",
    "\n",
    "# rcParams['figure.figsize'] = 12, 8\n",
    "\n",
    "RANDOM_SEED = 42\n",
    "np.random.seed(RANDOM_SEED)\n",
    "torch.manual_seed(RANDOM_SEED) \n",
    " \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import polars as pl\n",
    "from io import StringIO\n",
    "import math\n",
    "df = pl.read_csv('../data/battery_1.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We only need 'PACK1_CRIDATA_BATT_VOL'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## visualize fault and non-fault regions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "filter_condition =  df['PACK1_CRIDATA_BATT_VOL'].cast(pl.Float32) != 0\n",
    "voltage_data = (df['PACK1_CRIDATA_BATT_VOL']\n",
    "                .filter(filter_condition)\n",
    "                .cast(pl.Float32))\n",
    "\n",
    "def convert_values(values):\n",
    "    numerical_values = []\n",
    "    for value in values:\n",
    "        if value == 'False':\n",
    "            numerical_values.append(0)\n",
    "        elif value == 'True':\n",
    "            numerical_values.append(1)\n",
    "        else:\n",
    "            # numerical_values.append(np.nan)\n",
    "            numerical_values.append(-1)\n",
    "    return numerical_values\n",
    "\n",
    "\n",
    "fault_data = convert_values(df['BATT_PACK_1_FAULT']\n",
    "                            .filter(filter_condition))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'fault incidents')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, axs = plt.subplots(nrows=2, ncols=1, figsize=(10,3 * 2))\n",
    "\n",
    "axs[0].plot(voltage_data)\n",
    "axs[0].set_title(\"voltage\")\n",
    "axs[1].scatter(range(len(fault_data)), fault_data)\n",
    "axs[1].set_title(\"fault incidents\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Train region: 145000-end\n",
    "\n",
    "Test region: 45000-60000"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "train_voltage_data = voltage_data[145000:]\n",
    "test_voltage_data = voltage_data[85000:100000]\n",
    "val_voltage_data = voltage_data[120000:135000]\n",
    "fault_voltage_data = voltage_data[45000:60000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_voltage_data = voltage_data[100000:]\n",
    "test_voltage_data = voltage_data[60000:85000]\n",
    "val_voltage_data = voltage_data[85000:100000]\n",
    "fault_voltage_data = voltage_data[0:60000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'fault incidents')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fault region\n",
    "fig, axs = plt.subplots(nrows=2, ncols=1, figsize=(10,3 * 2))\n",
    "\n",
    "axs[0].plot(fault_voltage_data)\n",
    "axs[0].set_title(\"voltage\")\n",
    "fault_incidents = fault_data[0:60000]\n",
    "axs[1].scatter(range(len(fault_incidents)), fault_incidents)\n",
    "axs[1].set_title(\"fault incidents\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f95b02b9dd0>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# test region\n",
    "plt.plot(test_voltage_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f95b13107d0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# test region\n",
    "plt.plot(val_voltage_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f95b12a0290>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# train region\n",
    "# plt.plot(voltage_data[145000:])\n",
    "plt.plot(train_voltage_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100774,)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_voltage_data.to_numpy().shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(25000,)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_voltage_data.to_numpy().shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = train_voltage_data.to_numpy()\n",
    "segment_size = 100\n",
    "segments = [ torch.tensor(data[i:i + segment_size]).unsqueeze(1).float() for i in range(0, len(data), segment_size) ]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "if (segments[-1].shape[0] != segment_size):\n",
    "    segments.pop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1007, 100, 1])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.stack(segments).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_dataset(series, segment_size, mean, stdev):\n",
    "    # normalize the data\n",
    "    data = (series.to_numpy() - mean)/stdev\n",
    "    segments = [ torch.tensor(data[i:i + segment_size]).unsqueeze(1).float() for i in range(0, len(data), segment_size) ]\n",
    "    # reject the last segment if it doesn't fit the shape\n",
    "    if (segments[-1].shape[0] != segment_size):\n",
    "        segments.pop()\n",
    "    n_seq, seq_len, n_features = torch.stack(segments).shape\n",
    "\n",
    "    return segments, seq_len, n_features\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = train_voltage_data.to_numpy()\n",
    "mean = np.mean(data)\n",
    "stdev = np.std(data)\n",
    "\n",
    "\n",
    "segment_size = 60\n",
    "train_dataset, seq_len, n_features = create_dataset(train_voltage_data, segment_size, mean, stdev)\n",
    "val_dataset, _, _ = create_dataset(val_voltage_data, segment_size, mean, stdev)\n",
    "test_normal_dataset, _, _ = create_dataset(test_voltage_data, segment_size, mean, stdev)\n",
    "test_anomaly_dataset, _, _ = create_dataset(fault_voltage_data, segment_size, mean, stdev)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Encoder Decoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n"
     ]
    }
   ],
   "source": [
    "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n",
    "print(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Encoder(nn.Module):\n",
    "\n",
    "  def __init__(self, seq_len, n_features, embedding_dim=64):\n",
    "    super(Encoder, self).__init__()\n",
    "\n",
    "    self.seq_len, self.n_features = seq_len, n_features\n",
    "    self.embedding_dim, self.hidden_dim = embedding_dim, 2 * embedding_dim\n",
    "\n",
    "    self.rnn1 = nn.LSTM(\n",
    "      input_size=n_features,\n",
    "      hidden_size=self.hidden_dim,\n",
    "      num_layers=1,\n",
    "      batch_first=True\n",
    "    )\n",
    "    \n",
    "    self.rnn2 = nn.LSTM(\n",
    "      input_size=self.hidden_dim,\n",
    "      hidden_size=embedding_dim,\n",
    "      num_layers=1,\n",
    "      batch_first=True\n",
    "    )\n",
    "\n",
    "  def forward(self, x):\n",
    "    x = x.reshape((1, self.seq_len, self.n_features))\n",
    "\n",
    "    x, (_, _) = self.rnn1(x)\n",
    "    x, (hidden_n, _) = self.rnn2(x)\n",
    "\n",
    "    return hidden_n.reshape((self.n_features, self.embedding_dim))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Decoder(nn.Module):\n",
    "\n",
    "  def __init__(self, seq_len, input_dim=64, n_features=1):\n",
    "    super(Decoder, self).__init__()\n",
    "\n",
    "    self.seq_len, self.input_dim = seq_len, input_dim\n",
    "    self.hidden_dim, self.n_features = 2 * input_dim, n_features\n",
    "\n",
    "    self.rnn1 = nn.LSTM(\n",
    "      input_size=input_dim,\n",
    "      hidden_size=input_dim,\n",
    "      num_layers=1,\n",
    "      batch_first=True\n",
    "    )\n",
    "\n",
    "    self.rnn2 = nn.LSTM(\n",
    "      input_size=input_dim,\n",
    "      hidden_size=self.hidden_dim,\n",
    "      num_layers=1,\n",
    "      batch_first=True\n",
    "    )\n",
    "\n",
    "    self.output_layer = nn.Linear(self.hidden_dim, n_features)\n",
    "\n",
    "  def forward(self, x):\n",
    "    x = x.repeat(self.seq_len, self.n_features)\n",
    "    x = x.reshape((self.n_features, self.seq_len, self.input_dim))\n",
    "\n",
    "    x, (hidden_n, cell_n) = self.rnn1(x)\n",
    "    x, (hidden_n, cell_n) = self.rnn2(x)\n",
    "    x = x.reshape((self.seq_len, self.hidden_dim))\n",
    "\n",
    "    return self.output_layer(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RecurrentAutoencoder(nn.Module):\n",
    "\n",
    "  def __init__(self, seq_len, n_features, embedding_dim=64):\n",
    "    super(RecurrentAutoencoder, self).__init__()\n",
    "\n",
    "    self.encoder = Encoder(seq_len, n_features, embedding_dim).to(device)\n",
    "    self.decoder = Decoder(seq_len, embedding_dim, n_features).to(device)\n",
    "\n",
    "  def forward(self, x):\n",
    "    x = self.encoder(x)\n",
    "    x = self.decoder(x)\n",
    "\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = RecurrentAutoencoder(seq_len, n_features, 128)\n",
    "model = model.to(device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(model, train_dataset, val_dataset, n_epochs):\n",
    "  optimizer = torch.optim.Adam(model.parameters(), lr=1e-5)\n",
    "  criterion = nn.L1Loss(reduction='sum').to(device)\n",
    "  history = dict(train=[], val=[])\n",
    "\n",
    "  best_model_wts = copy.deepcopy(model.state_dict())\n",
    "  best_loss = 10000.0\n",
    "  \n",
    "  for epoch in range(1, n_epochs + 1):\n",
    "    model = model.train()\n",
    "\n",
    "    train_losses = []\n",
    "    for seq_true in train_dataset:\n",
    "      optimizer.zero_grad()\n",
    "\n",
    "      seq_true = seq_true.to(device)\n",
    "      seq_pred = model(seq_true)\n",
    "\n",
    "      loss = criterion(seq_pred, seq_true)\n",
    "\n",
    "      loss.backward()\n",
    "      optimizer.step()\n",
    "\n",
    "      train_losses.append(loss.item())\n",
    "\n",
    "    val_losses = []\n",
    "    model = model.eval()\n",
    "    with torch.no_grad():\n",
    "      for seq_true in val_dataset:\n",
    "\n",
    "        seq_true = seq_true.to(device)\n",
    "        seq_pred = model(seq_true)\n",
    "\n",
    "        loss = criterion(seq_pred, seq_true)\n",
    "        val_losses.append(loss.item())\n",
    "\n",
    "    train_loss = np.mean(train_losses)\n",
    "    val_loss = np.mean(val_losses)\n",
    "\n",
    "    history['train'].append(train_loss)\n",
    "    history['val'].append(val_loss)\n",
    "\n",
    "    if val_loss < best_loss:\n",
    "      best_loss = val_loss\n",
    "      best_model_wts = copy.deepcopy(model.state_dict())\n",
    "\n",
    "    print(f'Epoch {epoch}: train loss {train_loss} val loss {val_loss}')\n",
    "\n",
    "  model.load_state_dict(best_model_wts)\n",
    "  return model.eval(), history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1: train loss 7.188362143299209 val loss 10.97716400551796\n",
      "Epoch 2: train loss 7.061609009534848 val loss 10.861721575021743\n",
      "Epoch 3: train loss 7.050498445725213 val loss 10.759196199297905\n",
      "Epoch 4: train loss 6.953788480228296 val loss 10.529170639157295\n",
      "Epoch 5: train loss 6.819667443375704 val loss 10.165040640830993\n",
      "Epoch 6: train loss 6.738479136036151 val loss 9.992541402816773\n",
      "Epoch 7: train loss 6.614317140013353 val loss 9.791294813871383\n",
      "Epoch 8: train loss 6.452131601406606 val loss 9.845977551937104\n",
      "Epoch 9: train loss 6.408218298855107 val loss 9.518717983603478\n",
      "Epoch 10: train loss 6.238182526727458 val loss 9.489320818185806\n",
      "Epoch 11: train loss 6.234057898515033 val loss 9.289050007283688\n",
      "Epoch 12: train loss 6.202264721316195 val loss 9.33216683781147\n",
      "Epoch 13: train loss 6.1222286748257755 val loss 9.25562231683731\n",
      "Epoch 14: train loss 6.28904679132722 val loss 10.131250357687474\n",
      "Epoch 15: train loss 6.073458283509507 val loss 11.110596370041371\n",
      "Epoch 16: train loss 6.161009409070512 val loss 9.410741286337375\n",
      "Epoch 17: train loss 6.021980724913723 val loss 9.270162648320198\n",
      "Epoch 18: train loss 6.039738698001061 val loss 11.261745161175728\n",
      "Epoch 19: train loss 6.115699894411213 val loss 9.005485089600086\n",
      "Epoch 20: train loss 5.929479124247496 val loss 9.085405830562115\n",
      "Epoch 21: train loss 5.9451709336347704 val loss 10.106599816918374\n",
      "Epoch 22: train loss 5.924677521709248 val loss 9.108658552646636\n",
      "Epoch 23: train loss 5.908539707831785 val loss 8.512088710725308\n",
      "Epoch 24: train loss 5.818426139967793 val loss 9.660966635107995\n",
      "Epoch 25: train loss 5.953280821415979 val loss 8.881353223979474\n",
      "Epoch 26: train loss 5.762612802924465 val loss 8.796815033614635\n",
      "Epoch 27: train loss 6.0233771145752035 val loss 9.594733444035054\n",
      "Epoch 28: train loss 5.884460732465063 val loss 8.864278678059579\n",
      "Epoch 29: train loss 5.812006496509816 val loss 9.826941768109798\n",
      "Epoch 30: train loss 5.818772723404619 val loss 9.912757200181485\n",
      "Epoch 31: train loss 5.6362157306673275 val loss 9.99971356779337\n",
      "Epoch 32: train loss 5.646149147277506 val loss 10.41991896033287\n",
      "Epoch 33: train loss 5.785268129284996 val loss 9.180850823998451\n",
      "Epoch 34: train loss 5.6033936036066185 val loss 8.335838904500008\n",
      "Epoch 35: train loss 5.639638055348907 val loss 8.63649248892069\n",
      "Epoch 36: train loss 5.496804546314098 val loss 8.519725093007088\n",
      "Epoch 37: train loss 5.45866653725212 val loss 8.703529002845288\n",
      "Epoch 38: train loss 5.5987114275740755 val loss 7.895355988562107\n",
      "Epoch 39: train loss 5.397800835968839 val loss 8.712894497811794\n",
      "Epoch 40: train loss 5.615536484239427 val loss 9.162039269328117\n",
      "Epoch 41: train loss 5.468912153788235 val loss 8.45761411190033\n",
      "Epoch 42: train loss 5.371571399009675 val loss 7.897047997713089\n",
      "Epoch 43: train loss 5.266479222919346 val loss 7.756879223942756\n",
      "Epoch 44: train loss 5.268004156937551 val loss 7.302376929938793\n",
      "Epoch 45: train loss 5.267588082587811 val loss 9.525786200582981\n",
      "Epoch 46: train loss 5.373221474869966 val loss 7.77464767986536\n",
      "Epoch 47: train loss 5.32135811762273 val loss 8.563139500975609\n",
      "Epoch 48: train loss 5.412440207110692 val loss 7.822439022362232\n",
      "Epoch 49: train loss 5.406725116318149 val loss 7.7465962873101235\n",
      "Epoch 50: train loss 5.159115838695666 val loss 7.441654227137565\n",
      "Epoch 51: train loss 5.258179729568099 val loss 7.8189039084911345\n",
      "Epoch 52: train loss 5.251028409168931 val loss 7.743886261582374\n",
      "Epoch 53: train loss 5.242734800604854 val loss 7.365176262140274\n",
      "Epoch 54: train loss 5.16607915904282 val loss 8.90385246372223\n",
      "Epoch 55: train loss 5.2259016893338135 val loss 8.867705811679363\n",
      "Epoch 56: train loss 5.194666571919587 val loss 7.8739802262187\n",
      "Epoch 57: train loss 5.249035688970258 val loss 7.216172798454761\n",
      "Epoch 58: train loss 5.070800466896737 val loss 6.85274638992548\n",
      "Epoch 59: train loss 5.001781966748019 val loss 7.9121731922626495\n",
      "Epoch 60: train loss 5.1056873312374185 val loss 7.273398827493191\n",
      "Epoch 61: train loss 4.9760447693428445 val loss 7.714040239751339\n",
      "Epoch 62: train loss 5.0596290826797485 val loss 7.861135354578495\n",
      "Epoch 63: train loss 5.159216250112683 val loss 8.330905803859235\n",
      "Epoch 64: train loss 5.089301896732502 val loss 8.29973559910059\n",
      "Epoch 65: train loss 5.077050341283232 val loss 7.0275069693923\n",
      "Epoch 66: train loss 5.104413759262878 val loss 7.527150939106941\n",
      "Epoch 67: train loss 5.011002344894154 val loss 7.2104483036994935\n",
      "Epoch 68: train loss 5.031821377153834 val loss 7.462278498470783\n",
      "Epoch 69: train loss 4.93549394425606 val loss 7.092176900625229\n",
      "Epoch 70: train loss 4.902165090153798 val loss 7.506531097173691\n",
      "Epoch 71: train loss 5.044680127577813 val loss 8.029633438766002\n",
      "Epoch 72: train loss 5.078257953991061 val loss 7.620706166148186\n",
      "Epoch 73: train loss 5.02238962424341 val loss 7.4123868288993835\n",
      "Epoch 74: train loss 4.943703004306026 val loss 7.7856830370426175\n",
      "Epoch 75: train loss 5.058452894515122 val loss 7.487752008140087\n",
      "Epoch 76: train loss 4.983188311229369 val loss 6.923008233428002\n",
      "Epoch 77: train loss 4.91655006462474 val loss 7.989273576080799\n",
      "Epoch 78: train loss 5.02005114208878 val loss 7.763792626202107\n",
      "Epoch 79: train loss 5.119667072916329 val loss 7.779459906995297\n",
      "Epoch 80: train loss 4.815837256517206 val loss 6.943657228469848\n",
      "Epoch 81: train loss 4.94981735579097 val loss 8.068133530378342\n",
      "Epoch 82: train loss 4.966924919932637 val loss 7.317310967862606\n",
      "Epoch 83: train loss 4.9220759348634315 val loss 7.525299256563186\n",
      "Epoch 84: train loss 4.896259387266146 val loss 7.622523278236389\n",
      "Epoch 85: train loss 4.785323318562172 val loss 7.6916364338994025\n",
      "Epoch 86: train loss 4.898927788957376 val loss 7.980075287938118\n",
      "Epoch 87: train loss 4.846099264995195 val loss 7.757217339038849\n",
      "Epoch 88: train loss 4.897296259353884 val loss 7.217446682631969\n",
      "Epoch 89: train loss 4.8730314556085474 val loss 7.53286054366827\n",
      "Epoch 90: train loss 4.7620205258403665 val loss 8.212237065553666\n",
      "Epoch 91: train loss 4.7782756012951495 val loss 7.190876980245114\n",
      "Epoch 92: train loss 4.864514986617783 val loss 7.239515961110592\n",
      "Epoch 93: train loss 4.675690712807716 val loss 8.097305634975433\n",
      "Epoch 94: train loss 4.7876884221515885 val loss 6.623932673871517\n",
      "Epoch 95: train loss 4.722695211113884 val loss 7.503434510350227\n",
      "Epoch 96: train loss 4.745365573961938 val loss 7.175907820641995\n",
      "Epoch 97: train loss 4.659669167756538 val loss 7.756110722780227\n",
      "Epoch 98: train loss 4.662637394221146 val loss 6.194095297515393\n",
      "Epoch 99: train loss 4.6344790222781125 val loss 7.093573769330979\n",
      "Epoch 100: train loss 4.656862292254589 val loss 7.243564149618149\n"
     ]
    }
   ],
   "source": [
    "model, history = train_model(\n",
    "  model, \n",
    "  train_dataset, \n",
    "  val_dataset, \n",
    "  n_epochs=100\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'history' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[23], line 3\u001b[0m\n\u001b[1;32m      1\u001b[0m ax \u001b[39m=\u001b[39m plt\u001b[39m.\u001b[39mfigure()\u001b[39m.\u001b[39mgca()\n\u001b[0;32m----> 3\u001b[0m ax\u001b[39m.\u001b[39mplot(history[\u001b[39m'\u001b[39m\u001b[39mtrain\u001b[39m\u001b[39m'\u001b[39m])\n\u001b[1;32m      4\u001b[0m ax\u001b[39m.\u001b[39mplot(history[\u001b[39m'\u001b[39m\u001b[39mval\u001b[39m\u001b[39m'\u001b[39m])\n\u001b[1;32m      5\u001b[0m plt\u001b[39m.\u001b[39mylabel(\u001b[39m'\u001b[39m\u001b[39mLoss\u001b[39m\u001b[39m'\u001b[39m)\n",
      "\u001b[0;31mNameError\u001b[0m: name 'history' is not defined"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 427,
       "width": 572
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure().gca()\n",
    "\n",
    "ax.plot(history['train'])\n",
    "ax.plot(history['val'])\n",
    "plt.ylabel('Loss')\n",
    "plt.xlabel('Epoch')\n",
    "plt.legend(['train', 'test'])\n",
    "plt.title('Loss over training epochs')\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Save the model\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "date = datetime.date.today().strftime('%y-%m-%d')\n",
    "MODEL_PATH = f'model_save/model_{date}.pth'\n",
    "\n",
    "torch.save(model, MODEL_PATH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# reload the model\n",
    "model = torch.load('model_save/model_23-08-29_1647.pth')\n",
    "model = model.to(device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Check reconstruction error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def predict(model, dataset):\n",
    "  predictions, losses = [], []\n",
    "  criterion = nn.L1Loss(reduction='sum').to(device)\n",
    "  with torch.no_grad():\n",
    "    model = model.eval()\n",
    "    for seq_true in dataset:\n",
    "      seq_true = seq_true.to(device)\n",
    "      seq_pred = model(seq_true)\n",
    "\n",
    "      loss = criterion(seq_pred, seq_true)\n",
    "\n",
    "      predictions.append(seq_pred.cpu().numpy().flatten())\n",
    "      losses.append(loss.item())\n",
    "  return predictions, losses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, losses = predict(model, test_normal_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, losses = predict(model, train_dataset)\n",
    "plt.xlim(0, 50)\n",
    "sns.kdeplot(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# _, losses = predict(model, train_dataset)\n",
    "_, losses = predict(model, test_normal_dataset)\n",
    "plt.xlim(0, 50)\n",
    "sns.kdeplot(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density'>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# _, losses = predict(model, train_dataset)\n",
    "_, losses = predict(model, test_anomaly_dataset)\n",
    "plt.xlim(0, 1000)\n",
    "sns.kdeplot(losses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute THRESHOLD with training set data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions, losses = predict(model, train_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "loss_array = np.array(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "stdev = np.std(loss_array)\n",
    "mean = np.mean(loss_array)\n",
    "THRESHOLD = mean + stdev * 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check on test_normal_dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of intervals exceeding 1 std dev loss: 33/416\n"
     ]
    }
   ],
   "source": [
    "_, losses = predict(model, test_normal_dataset)\n",
    "exceed_count = sum(l > THRESHOLD for l in losses)\n",
    "print(f'number of intervals exceeding 1 std dev loss: {exceed_count}/{len(test_normal_dataset)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check on test_anomaly_dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of intervals exceeding 1 std dev loss: 333/416\n"
     ]
    }
   ],
   "source": [
    "_, losses = predict(model, test_anomaly_dataset)\n",
    "exceed_count = sum(l > THRESHOLD for l in losses)\n",
    "print(f'number of intervals exceeding 1 std dev loss: {exceed_count}/{len(test_normal_dataset)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## plot construction error vs original"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_prediction(data, model, title, ax):\n",
    "    predictions, pred_losses = predict(model, [data])\n",
    "\n",
    "    ax.plot(data, label='true')\n",
    "    ax.plot(predictions[0], label='reconstructed')\n",
    "    ax.set_title(f'{title} (loss: {np.around(pred_losses[0], 2)})')\n",
    "    ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2200x800 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    nrows=2,\n",
    "    ncols=6,\n",
    "    sharey=True,\n",
    "    sharex=True,\n",
    "    figsize=(22, 8)\n",
    ")\n",
    "\n",
    "sample_size = 6\n",
    "sample_indices = random.sample(range(0,len(test_normal_dataset)), sample_size)\n",
    "\n",
    "sampled_test_normal_dataset = [test_normal_dataset[i] for i in sample_indices]\n",
    "sampled_test_anomaly_dataset = [test_anomaly_dataset[i] for i in sample_indices]\n",
    "\n",
    "for i, data in enumerate(sampled_test_normal_dataset):\n",
    "    plot_prediction(data, model, title='Normal', ax=axs[0, i])\n",
    "\n",
    "for i, data in enumerate(sampled_test_anomaly_dataset):\n",
    "    plot_prediction(data, model, title='Anomaly', ax=axs[1, i])\n",
    "\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assess quality of prediction of flagged intervals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we want to identify the count of anomalies in each interval in the \"test_anomaly_dataset\"\n",
    "# range: 45000:60000\n",
    "start_point = 0\n",
    "end_point = 60000\n",
    "fault_segments = [ fault_data[start_point+seq_len * i:start_point + seq_len * i + seq_len] for i in range(len(test_anomaly_dataset)) ]\n",
    "# len(test_anomaly_dataset)\n",
    "anomaly_count_list = [ fault_segments[i].count(1) for i in range(len(fault_segments))]\n",
    "anomaly_flag_actual = [ count > 0 for count in anomaly_count_list ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "69"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# there are 50 - 100 minute segments where there is an anomaly\n",
    "sum(np.array(anomaly_count_list) > 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, losses = predict(model, test_anomaly_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "anomaly_flag_prediction = [ l > THRESHOLD for l in losses ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_mat = confusion_matrix(anomaly_flag_actual, anomaly_flag_prediction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[642 289]\n",
      " [ 25  44]]\n"
     ]
    }
   ],
   "source": [
    "print(result_mat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "tn, fp, fn, tp = result_mat.ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6895810955961332\n",
      "0.6376811594202898\n",
      "0.686\n"
     ]
    }
   ],
   "source": [
    "# accuracy of negatives\n",
    "specificity = tn / (tn + fp)\n",
    "print(specificity)\n",
    "\n",
    "# accuracy of positives\n",
    "sensitivity = tp / (tp + fn)\n",
    "print(sensitivity)\n",
    "\n",
    "\n",
    "overall_accuracy = (tn + tp) / (tn + fp + fn + tp)\n",
    "print(overall_accuracy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## plot regions of predicted anomalies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### juxtapose over anomalous region"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, losses = predict(model, test_anomaly_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "anomaly_flag_prediction = [ l > THRESHOLD for l in losses ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_segments = []\n",
    "count = 0\n",
    "for i in anomaly_flag_prediction:\n",
    "    count = count + 1\n",
    "    x_segments.append([count*60, count*60 + 60])\n",
    "y_segments = [ [0,0] for i in x_segments]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fault region\n",
    "# fig, axs = plt.subplots(nrows=2, ncols=1, figsize=(10,3 * 2))\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "fault_incidents = fault_data[0:60000]\n",
    "ax.scatter(range(len(fault_incidents)), fault_incidents)\n",
    "true_color =\"green\"\n",
    "false_color = \"red\"\n",
    "\n",
    "labels = anomaly_flag_prediction\n",
    "sequences = x_segments\n",
    "\n",
    "y_level = 0.5\n",
    "for i, (sequence, label) in enumerate(zip(sequences, labels)):\n",
    "    if label:\n",
    "        ax.plot((sequence[0],sequence[1]), (y_level,y_level), color=\"red\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### juxtapose over whole dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, losses = predict(model, train_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "anomaly_flag_prediction = [ l > THRESHOLD for l in losses ]\n",
    "x_segments = []\n",
    "count = 0\n",
    "for i in anomaly_flag_prediction:\n",
    "    count = count + 1\n",
    "    x_segments.append([count*60, count*60 + 60])\n",
    "y_segments = [ [0,0] for i in x_segments]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fault region\n",
    "# fig, axs = plt.subplots(nrows=2, ncols=1, figsize=(10,3 * 2))\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "fault_incidents = fault_data\n",
    "ax.scatter(range(len(fault_incidents)), fault_incidents)\n",
    "true_color =\"green\"\n",
    "false_color = \"red\"\n",
    "\n",
    "labels = anomaly_flag_prediction\n",
    "sequences = x_segments\n",
    "\n",
    "y_level = 0.5\n",
    "for i, (sequence, label) in enumerate(zip(sequences, labels)):\n",
    "    if label:\n",
    "        ax.plot((sequence[0],sequence[1]), (y_level,y_level), color=\"red\")\n",
    "\n"
   ]
  }
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