{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "Ndo4ERqnwQOU" }, "source": [ "##### Copyright 2020 The TensorFlow Authors." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "cellView": "form", "execution": { "iopub.execute_input": "2024-01-11T23:00:49.736090Z", "iopub.status.busy": "2024-01-11T23:00:49.735872Z", "iopub.status.idle": "2024-01-11T23:00:49.739479Z", "shell.execute_reply": "2024-01-11T23:00:49.738921Z" }, "id": "MTKwbguKwT4R" }, "outputs": [], "source": [ "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n", "# you may not use this file except in compliance with the License.\n", "# You may obtain a copy of the License at\n", "#\n", "# https://www.apache.org/licenses/LICENSE-2.0\n", "#\n", "# Unless required by applicable law or agreed to in writing, software\n", "# distributed under the License is distributed on an \"AS IS\" BASIS,\n", "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n", "# See the License for the specific language governing permissions and\n", "# limitations under the License." ] }, { "cell_type": "markdown", "metadata": { "id": "xfNT-mlFwxVM" }, "source": [ "# オートエンコーダの基礎" ] }, { "cell_type": "markdown", "metadata": { "id": "0TD5ZrvEMbhZ" }, "source": [ "\n", " \n", " \n", " \n", " \n", "
TensorFlow.org で表示\n", " Google Colabで実行\n", "GitHubでソースを表示 ノートブックをダウンロード
" ] }, { "cell_type": "markdown", "metadata": { "id": "ITZuApL56Mny" }, "source": [ "このチュートリアルでは、基本、画像のノイズ除去、異常検出の3つの例を使用してオートエンコーダを紹介します。\n", "\n", "オートエンコーダは、入力を出力にコピーするようにトレーニングされた特殊なタイプのニューラルネットワークです。たとえば、手書きの数字の画像が与えられた場合、オートエンコーダは最初に画像を低次元の潜在表現にエンコードし、次に潜在表現をデコードして画像に戻します。オートエンコーダは、再構成エラーを最小限に抑えながらデータを圧縮することを学習します。\n", "\n", "オートエンコーダの詳細については、Ian Goodfellow、Yoshua Bengio、AaronCourville による[ディープラーニング](https://www.deeplearningbook.org/)の第 14 章を参照してください。" ] }, { "cell_type": "markdown", "metadata": { "id": "e1_Y75QXJS6h" }, "source": [ "## TensorFlow とその他のライブラリをインポートする" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:00:49.743242Z", "iopub.status.busy": "2024-01-11T23:00:49.742745Z", "iopub.status.idle": "2024-01-11T23:00:52.641845Z", "shell.execute_reply": "2024-01-11T23:00:52.640760Z" }, "id": "YfIk2es3hJEd" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-01-11 23:00:50.693016: E external/local_xla/xla/stream_executor/cuda/cuda_dnn.cc:9261] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n", "2024-01-11 23:00:50.693063: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:607] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n", "2024-01-11 23:00:50.694811: E external/local_xla/xla/stream_executor/cuda/cuda_blas.cc:1515] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import tensorflow as tf\n", "\n", "from sklearn.metrics import accuracy_score, precision_score, recall_score\n", "from sklearn.model_selection import train_test_split\n", "from tensorflow.keras import layers, losses\n", "from tensorflow.keras.datasets import fashion_mnist\n", "from tensorflow.keras.models import Model" ] }, { "cell_type": "markdown", "metadata": { "id": "iYn4MdZnKCey" }, "source": [ "## データセットを読み込む\n", "\n", "まず、Fashion MNIST データセットを使用して基本的なオートエンコーダーをトレーニングします。このデータセットの各画像は 28x28 ピクセルです。 " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:00:52.646630Z", "iopub.status.busy": "2024-01-11T23:00:52.645974Z", "iopub.status.idle": "2024-01-11T23:00:53.151228Z", "shell.execute_reply": "2024-01-11T23:00:53.150208Z" }, "id": "YZm503-I_tji" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60000, 28, 28)\n", "(10000, 28, 28)\n" ] } ], "source": [ "(x_train, _), (x_test, _) = fashion_mnist.load_data()\n", "\n", "x_train = x_train.astype('float32') / 255.\n", "x_test = x_test.astype('float32') / 255.\n", "\n", "print (x_train.shape)\n", "print (x_test.shape)" ] }, { "cell_type": "markdown", "metadata": { "id": "VEdCXSwCoKok" }, "source": [ "## 最初の例:オートエンコーダの基本\n", "\n", "![Basic autoencoder results](images/intro_autoencoder_result.png)\n", "\n", "次の2つの高密度レイヤーでオートエンコーダーを定義します。`encoder` は、画像を 64 次元の潜在ベクトルに圧縮します。`decoder` は、潜在空間から元の画像を再構築します。\n", "\n", "モデルを定義するには、[Keras Model Subclassing API](https://www.tensorflow.org/guide/keras/custom_layers_and_models) を使用します。\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:00:53.155891Z", "iopub.status.busy": "2024-01-11T23:00:53.155013Z", "iopub.status.idle": "2024-01-11T23:00:55.477024Z", "shell.execute_reply": "2024-01-11T23:00:55.475963Z" }, "id": "0MUxidpyChjX" }, "outputs": [], "source": [ "class Autoencoder(Model):\n", " def __init__(self, latent_dim, shape):\n", " super(Autoencoder, self).__init__()\n", " self.latent_dim = latent_dim\n", " self.shape = shape\n", " self.encoder = tf.keras.Sequential([\n", " layers.Flatten(),\n", " layers.Dense(latent_dim, activation='relu'),\n", " ])\n", " self.decoder = tf.keras.Sequential([\n", " layers.Dense(tf.math.reduce_prod(shape), activation='sigmoid'),\n", " layers.Reshape(shape)\n", " ])\n", "\n", " def call(self, x):\n", " encoded = self.encoder(x)\n", " decoded = self.decoder(encoded)\n", " return decoded\n", "\n", "\n", "shape = x_test.shape[1:]\n", "latent_dim = 64\n", "autoencoder = Autoencoder(latent_dim, shape)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:00:55.482185Z", "iopub.status.busy": "2024-01-11T23:00:55.481452Z", "iopub.status.idle": "2024-01-11T23:00:55.674558Z", "shell.execute_reply": "2024-01-11T23:00:55.673778Z" }, "id": "9I1JlqEIDCI4" }, "outputs": [], "source": [ "autoencoder.compile(optimizer='adam', loss=losses.MeanSquaredError())" ] }, { "cell_type": "markdown", "metadata": { "id": "7oJSeMTroABs" }, "source": [ "入力とターゲットの両方として `x_train` を使用してモデルをトレーニングします。`encoder` は、データセットを 784 次元から潜在空間に圧縮することを学習し、`decoder` は元の画像を再構築することを学習します。" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:00:55.678913Z", "iopub.status.busy": "2024-01-11T23:00:55.678369Z", "iopub.status.idle": "2024-01-11T23:01:39.861275Z", "shell.execute_reply": "2024-01-11T23:01:39.860518Z" }, "id": "h1RI9OfHDBsK" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/10\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n", "I0000 00:00:1705014057.892644 1057381 device_compiler.h:186] Compiled cluster using XLA! 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1864/1875 [============================>.] - ETA: 0s - loss: 0.0094" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1875/1875 [==============================] - 4s 2ms/step - loss: 0.0094 - val_loss: 0.0093\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 5/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 5s - loss: 0.0095" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 26/1875 [..............................] - ETA: 3s - loss: 0.0092" ] }, { "name": 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1853/1875 [============================>.] - ETA: 0s - loss: 0.0089" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1875/1875 [==============================] - 4s 2ms/step - loss: 0.0089 - val_loss: 0.0090\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 8/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 5s - loss: 0.0076" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 27/1875 [..............................] - ETA: 3s - loss: 0.0089" ] }, { "name": 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1863/1875 [============================>.] - ETA: 0s - loss: 0.0088" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1875/1875 [==============================] - 4s 2ms/step - loss: 0.0088 - val_loss: 0.0089\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 9/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 5s - loss: 0.0075" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 28/1875 [..............................] - ETA: 3s - loss: 0.0086" ] }, { "name": 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1875/1875 [==============================] - 4s 2ms/step - loss: 0.0088 - val_loss: 0.0090\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 10/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 5s - loss: 0.0093" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 27/1875 [..............................] - ETA: 3s - loss: 0.0084" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 53/1875 [..............................] - ETA: 3s - loss: 0.0087" ] }, { "name": 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"autoencoder.fit(x_train, x_train,\n", " epochs=10,\n", " shuffle=True,\n", " validation_data=(x_test, x_test))" ] }, { "cell_type": "markdown", "metadata": { "id": "wAM1QBhtoC-n" }, "source": [ "モデルがトレーニングされたので、テストセットから画像をエンコードおよびデコードしてモデルをテストします。" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:39.864657Z", "iopub.status.busy": "2024-01-11T23:01:39.864411Z", "iopub.status.idle": "2024-01-11T23:01:39.976347Z", "shell.execute_reply": "2024-01-11T23:01:39.975675Z" }, "id": "Pbr5WCj7FQUi" }, "outputs": [], "source": [ "encoded_imgs = autoencoder.encoder(x_test).numpy()\n", "decoded_imgs = autoencoder.decoder(encoded_imgs).numpy()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:39.980421Z", "iopub.status.busy": "2024-01-11T23:01:39.979850Z", "iopub.status.idle": "2024-01-11T23:01:40.465127Z", "shell.execute_reply": "2024-01-11T23:01:40.464493Z" }, "id": "s4LlDOS6FUA1" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 10\n", "plt.figure(figsize=(20, 4))\n", "for i in range(n):\n", " # display original\n", " ax = plt.subplot(2, n, i + 1)\n", " plt.imshow(x_test[i])\n", " plt.title(\"original\")\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "\n", " # display reconstruction\n", " ax = plt.subplot(2, n, i + 1 + n)\n", " plt.imshow(decoded_imgs[i])\n", " plt.title(\"reconstructed\")\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "r4gv6G8PoRQE" }, "source": [ "## 2番目の例:画像のノイズ除去\n", "\n", "![Image denoising results](images/image_denoise_fmnist_results.png)\n", "\n", "オートエンコーダは、画像からノイズを除去するようにトレーニングすることもできます。 次のセクションでは、各画像にランダムノイズを適用して、ノイズの多いバージョンの FashionMNIST データセットを作成します。次に、ノイズの多い画像を入力として使用し、元の画像をターゲットとして使用して、オートエンコーダーをトレーニングします。\n", "\n", "データセットを再インポートして、以前に行った変更を省略しましょう。" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:40.468938Z", "iopub.status.busy": "2024-01-11T23:01:40.468660Z", "iopub.status.idle": "2024-01-11T23:01:40.826556Z", "shell.execute_reply": "2024-01-11T23:01:40.825815Z" }, "id": "gDYHJA2PCQ3m" }, "outputs": [], "source": [ "(x_train, _), (x_test, _) = fashion_mnist.load_data()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:40.830288Z", "iopub.status.busy": "2024-01-11T23:01:40.830034Z", "iopub.status.idle": "2024-01-11T23:01:40.920827Z", "shell.execute_reply": "2024-01-11T23:01:40.919996Z" }, "id": "uJZ-TcaqDBr5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60000, 28, 28, 1)\n" ] } ], "source": [ "x_train = x_train.astype('float32') / 255.\n", "x_test = x_test.astype('float32') / 255.\n", "\n", "x_train = x_train[..., tf.newaxis]\n", "x_test = x_test[..., tf.newaxis]\n", "\n", "print(x_train.shape)" ] }, { "cell_type": "markdown", "metadata": { "id": "aPZl_6P65_8R" }, "source": [ "画像にランダムノイズを追加します" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:40.924302Z", "iopub.status.busy": "2024-01-11T23:01:40.924051Z", "iopub.status.idle": "2024-01-11T23:01:41.901178Z", "shell.execute_reply": "2024-01-11T23:01:41.900432Z" }, "id": "axSMyxC354fc" }, "outputs": [], "source": [ "noise_factor = 0.2\n", "x_train_noisy = x_train + noise_factor * tf.random.normal(shape=x_train.shape) \n", "x_test_noisy = x_test + noise_factor * tf.random.normal(shape=x_test.shape) \n", "\n", "x_train_noisy = tf.clip_by_value(x_train_noisy, clip_value_min=0., clip_value_max=1.)\n", "x_test_noisy = tf.clip_by_value(x_test_noisy, clip_value_min=0., clip_value_max=1.)" ] }, { "cell_type": "markdown", "metadata": { "id": "wRxHe4XXltNd" }, "source": [ "ノイズの多い画像をプロットします。\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:41.905073Z", "iopub.status.busy": "2024-01-11T23:01:41.904825Z", "iopub.status.idle": "2024-01-11T23:01:42.704040Z", "shell.execute_reply": "2024-01-11T23:01:42.703409Z" }, "id": "thKUmbVVCQpt" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 10\n", "plt.figure(figsize=(20, 2))\n", "for i in range(n):\n", " ax = plt.subplot(1, n, i + 1)\n", " plt.title(\"original + noise\")\n", " plt.imshow(tf.squeeze(x_test_noisy[i]))\n", " plt.gray()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Sy9SY8jGl5aP" }, "source": [ "### 畳み込みオートエンコーダーを定義します。" ] }, { "cell_type": "markdown", "metadata": { "id": "vT_BhZngWMwp" }, "source": [ "この例では、`encoder` の [Conv2D](https://www.tensorflow.org/api_docs/python/tf/keras/layers/Conv2D) レイヤーと、`decoder` の [Conv2DTranspose](https://www.tensorflow.org/api_docs/python/tf/keras/layers/Conv2DTranspose) レイヤーを使用して畳み込みオートエンコーダーをトレーニングします。" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:42.707547Z", "iopub.status.busy": "2024-01-11T23:01:42.707306Z", "iopub.status.idle": "2024-01-11T23:01:42.750659Z", "shell.execute_reply": "2024-01-11T23:01:42.750052Z" }, "id": "R5KjoIlYCQko" }, "outputs": [], "source": [ "class Denoise(Model):\n", " def __init__(self):\n", " super(Denoise, self).__init__()\n", " self.encoder = tf.keras.Sequential([\n", " layers.Input(shape=(28, 28, 1)),\n", " layers.Conv2D(16, (3, 3), activation='relu', padding='same', strides=2),\n", " layers.Conv2D(8, (3, 3), activation='relu', padding='same', strides=2)])\n", "\n", " self.decoder = tf.keras.Sequential([\n", " layers.Conv2DTranspose(8, kernel_size=3, strides=2, activation='relu', padding='same'),\n", " layers.Conv2DTranspose(16, kernel_size=3, strides=2, activation='relu', padding='same'),\n", " layers.Conv2D(1, kernel_size=(3, 3), activation='sigmoid', padding='same')])\n", "\n", " def call(self, x):\n", " encoded = self.encoder(x)\n", " decoded = self.decoder(encoded)\n", " return decoded\n", "\n", "autoencoder = Denoise()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:42.753806Z", "iopub.status.busy": "2024-01-11T23:01:42.753581Z", "iopub.status.idle": "2024-01-11T23:01:42.762435Z", "shell.execute_reply": "2024-01-11T23:01:42.761798Z" }, "id": "QYKbiDFYCQfj" }, "outputs": [], "source": [ "autoencoder.compile(optimizer='adam', loss=losses.MeanSquaredError())" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:01:42.765652Z", "iopub.status.busy": "2024-01-11T23:01:42.765419Z", "iopub.status.idle": "2024-01-11T23:02:53.068117Z", "shell.execute_reply": "2024-01-11T23:02:53.067414Z" }, "id": "IssFr1BNCQX3" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 1:24:11 - loss: 0.1601" ] }, { "name": "stdout", "output_type": "stream", "text": [ 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "1875/1875 [==============================] - 7s 4ms/step - loss: 0.0075 - val_loss: 0.0074\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 6/10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/1875 [..............................] - ETA: 8s - loss: 0.0067" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 17/1875 [..............................] - ETA: 6s - loss: 0.0073" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", " 33/1875 [..............................] - ETA: 5s - loss: 0.0072" ] }, { "name": 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"autoencoder.fit(x_train_noisy, x_train,\n", " epochs=10,\n", " shuffle=True,\n", " validation_data=(x_test_noisy, x_test))" ] }, { "cell_type": "markdown", "metadata": { "id": "G85xUVBGTAKp" }, "source": [ "エンコーダーの概要を見てみましょう。画像が 28x28 から 7x7 にダウンサンプリングされていることに注目してください。" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:53.071745Z", "iopub.status.busy": "2024-01-11T23:02:53.071464Z", "iopub.status.idle": "2024-01-11T23:02:53.081969Z", "shell.execute_reply": "2024-01-11T23:02:53.081268Z" }, "id": "oEpxlX6sTEQz" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_2\"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Layer (type) Output Shape Param # \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "=================================================================\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " conv2d (Conv2D) (None, 14, 14, 16) 160 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " conv2d_1 (Conv2D) (None, 7, 7, 8) 1160 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "=================================================================\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Total params: 1320 (5.16 KB)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Trainable params: 1320 (5.16 KB)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Non-trainable params: 0 (0.00 Byte)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n" ] } ], "source": [ "autoencoder.encoder.summary()" ] }, { "cell_type": "markdown", "metadata": { "id": "DDZBfMx1UtXx" }, "source": [ "デコーダーは画像を 7x7 から 28x28 にアップサンプリングします。" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:53.088439Z", "iopub.status.busy": "2024-01-11T23:02:53.088213Z", "iopub.status.idle": "2024-01-11T23:02:53.100079Z", "shell.execute_reply": "2024-01-11T23:02:53.099502Z" }, "id": "pbeQtYMaUpro" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_3\"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Layer (type) Output Shape Param # \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "=================================================================\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " conv2d_transpose (Conv2DTr (None, 14, 14, 8) 584 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " anspose) \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " conv2d_transpose_1 (Conv2D (None, 28, 28, 16) 1168 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Transpose) \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " conv2d_2 (Conv2D) (None, 28, 28, 1) 145 \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "=================================================================\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Total params: 1897 (7.41 KB)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Trainable params: 1897 (7.41 KB)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Non-trainable params: 0 (0.00 Byte)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n" ] } ], "source": [ "autoencoder.decoder.summary()" ] }, { "cell_type": "markdown", "metadata": { "id": "A7-VAuEy_N6M" }, "source": [ "オートエンコーダにより生成されたノイズの多い画像とノイズ除去された画像の両方をプロットします。" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:53.107671Z", "iopub.status.busy": "2024-01-11T23:02:53.107455Z", "iopub.status.idle": "2024-01-11T23:02:55.293386Z", "shell.execute_reply": "2024-01-11T23:02:55.292538Z" }, "id": "t5IyPi1fCQQz" }, "outputs": [], "source": [ "encoded_imgs = autoencoder.encoder(x_test_noisy).numpy()\n", "decoded_imgs = autoencoder.decoder(encoded_imgs).numpy()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:55.297773Z", "iopub.status.busy": "2024-01-11T23:02:55.297212Z", "iopub.status.idle": "2024-01-11T23:02:55.939108Z", "shell.execute_reply": "2024-01-11T23:02:55.938413Z" }, "id": "sfxr9NdBCP_x" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 10\n", "plt.figure(figsize=(20, 4))\n", "for i in range(n):\n", "\n", " # display original + noise\n", " ax = plt.subplot(2, n, i + 1)\n", " plt.title(\"original + noise\")\n", " plt.imshow(tf.squeeze(x_test_noisy[i]))\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "\n", " # display reconstruction\n", " bx = plt.subplot(2, n, i + n + 1)\n", " plt.title(\"reconstructed\")\n", " plt.imshow(tf.squeeze(decoded_imgs[i]))\n", " plt.gray()\n", " bx.get_xaxis().set_visible(False)\n", " bx.get_yaxis().set_visible(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ErGrTnWHoUYl" }, "source": [ "## 3番目の例:異常検出\n", "\n", "## 概要\n", "\n", "この例では、オートエンコーダーをトレーニングして、[ECG5000 データセット](http://www.timeseriesclassification.com/description.php?Dataset=ECG5000)の異常を検出します。このデータセットには、5,000 の[心電図](https://en.wikipedia.org/wiki/Electrocardiography)が含まれ、それぞれに 140 のデータポイントがあります。データセットの簡略化されたバージョンを使用します。各例には、`0`(異常なリズムに対応)または`1`(正常なリズムに対応)のいずれかのラベルが付けられています。ここでは異常なリズムを特定することに興味があります。\n", "\n", "注意:これはラベル付きのデータセットであるため、教師あり学習の問題と見なせます。この例の目的は、ラベルが使用できない、より大きなデータセットに適用できる異常検出の概念を説明することです(たとえば、数千の正常なリズムがあり、異常なリズムが少数しかない場合)。\n", "\n", "オートエンコーダーを使用すると、どのようにして異常を検出できるのでしょうか?オートエンコーダは、再構築エラーを最小限に抑えるようにトレーニングされていることを思い出してください。オートエンコーダーは通常のリズムでのみトレーニングし、それを使用してすべてのデータを再構築します。私たちの仮説は、異常なリズムはより高い再構成エラーを持つだろうということです。次に、再構成エラーが固定しきい値を超えた場合、リズムを異常として分類します。" ] }, { "cell_type": "markdown", "metadata": { "id": "i5estNaur_Mh" }, "source": [ "### ECG データを読み込む" ] }, { "cell_type": "markdown", "metadata": { "id": "y35nsXLPsDNX" }, "source": [ "使用するデータセットは、[timeseriesclassification.com](http://www.timeseriesclassification.com/description.php?Dataset=ECG5000) のデータセットに基づいています。\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:55.943263Z", "iopub.status.busy": "2024-01-11T23:02:55.943013Z", "iopub.status.idle": "2024-01-11T23:02:56.225876Z", "shell.execute_reply": "2024-01-11T23:02:56.225128Z" }, "id": "KmKRDJWgsFYa" }, "outputs": [ { "data": { "text/html": [ "
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-1.436250 1.0 \n", "2 -0.713683 -0.532197 0.321097 0.904227 -0.421797 1.0 \n", "3 0.952074 0.990133 1.086798 1.403011 -0.383564 1.0 \n", "4 1.277392 0.960304 0.971020 1.614392 1.421456 1.0 \n", "\n", "[5 rows x 141 columns]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Download the dataset\n", "dataframe = pd.read_csv('http://storage.googleapis.com/download.tensorflow.org/data/ecg.csv', header=None)\n", "raw_data = dataframe.values\n", "dataframe.head()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.229163Z", "iopub.status.busy": "2024-01-11T23:02:56.228903Z", "iopub.status.idle": "2024-01-11T23:02:56.236163Z", "shell.execute_reply": "2024-01-11T23:02:56.235493Z" }, "id": "UmuCPVYKsKKx" }, "outputs": [], "source": [ "# The last element contains the labels\n", "labels = raw_data[:, -1]\n", "\n", "# The other data points are the electrocadriogram data\n", "data = raw_data[:, 0:-1]\n", "\n", "train_data, test_data, train_labels, test_labels = train_test_split(\n", " data, labels, test_size=0.2, random_state=21\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "byK2vP7hsMbz" }, "source": [ "データを `[0,1]` に正規化します。\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.239463Z", "iopub.status.busy": "2024-01-11T23:02:56.239227Z", "iopub.status.idle": "2024-01-11T23:02:56.265968Z", "shell.execute_reply": "2024-01-11T23:02:56.265283Z" }, "id": "tgMZVWRKsPx6" }, "outputs": [], "source": [ "min_val = tf.reduce_min(train_data)\n", "max_val = tf.reduce_max(train_data)\n", "\n", "train_data = (train_data - min_val) / (max_val - min_val)\n", "test_data = (test_data - min_val) / (max_val - min_val)\n", "\n", "train_data = tf.cast(train_data, tf.float32)\n", "test_data = tf.cast(test_data, tf.float32)" ] }, { "cell_type": "markdown", "metadata": { "id": "BdSYr2IPsTiz" }, "source": [ "このデータセットで `1` としてラベル付けされている通常のリズムのみを使用して、オートエンコーダーをトレーニングします。正常なリズムを異常なリズムから分離します。" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.269461Z", "iopub.status.busy": "2024-01-11T23:02:56.268985Z", "iopub.status.idle": "2024-01-11T23:02:56.302847Z", "shell.execute_reply": "2024-01-11T23:02:56.302127Z" }, "id": "VvK4NRe8sVhE" }, "outputs": [], "source": [ "train_labels = train_labels.astype(bool)\n", "test_labels = test_labels.astype(bool)\n", "\n", "normal_train_data = train_data[train_labels]\n", "normal_test_data = test_data[test_labels]\n", "\n", "anomalous_train_data = train_data[~train_labels]\n", "anomalous_test_data = test_data[~test_labels]" ] }, { "cell_type": "markdown", "metadata": { "id": "wVcTBDo-CqFS" }, "source": [ "正常な ECG をプロットします。 " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.306490Z", "iopub.status.busy": "2024-01-11T23:02:56.305950Z", "iopub.status.idle": "2024-01-11T23:02:56.445057Z", "shell.execute_reply": "2024-01-11T23:02:56.444470Z" }, "id": "ZTlMIrpmseYe" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.grid()\n", "plt.plot(np.arange(140), normal_train_data[0])\n", "plt.title(\"A Normal ECG\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "QpI9by2ZA0NN" }, "source": [ "異常な ECG をプロットします。" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.448146Z", "iopub.status.busy": "2024-01-11T23:02:56.447923Z", "iopub.status.idle": "2024-01-11T23:02:56.572223Z", "shell.execute_reply": "2024-01-11T23:02:56.571653Z" }, "id": "zrpXREF2siBr" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.grid()\n", "plt.plot(np.arange(140), anomalous_train_data[0])\n", "plt.title(\"An Anomalous ECG\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "0DS6QKZJslZz" }, "source": [ "### モデルを構築する" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.575702Z", "iopub.status.busy": "2024-01-11T23:02:56.574973Z", "iopub.status.idle": "2024-01-11T23:02:56.591213Z", "shell.execute_reply": "2024-01-11T23:02:56.590630Z" }, "id": "bf6owZQDsp9y" }, "outputs": [], "source": [ "class AnomalyDetector(Model):\n", " def __init__(self):\n", " super(AnomalyDetector, self).__init__()\n", " self.encoder = tf.keras.Sequential([\n", " layers.Dense(32, activation=\"relu\"),\n", " layers.Dense(16, activation=\"relu\"),\n", " layers.Dense(8, activation=\"relu\")])\n", " \n", " self.decoder = tf.keras.Sequential([\n", " layers.Dense(16, activation=\"relu\"),\n", " layers.Dense(32, activation=\"relu\"),\n", " layers.Dense(140, activation=\"sigmoid\")])\n", " \n", " def call(self, x):\n", " encoded = self.encoder(x)\n", " decoded = self.decoder(encoded)\n", " return decoded\n", "\n", "autoencoder = AnomalyDetector()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.594182Z", "iopub.status.busy": "2024-01-11T23:02:56.593961Z", "iopub.status.idle": "2024-01-11T23:02:56.602005Z", "shell.execute_reply": "2024-01-11T23:02:56.601439Z" }, "id": "gwRpBBbg463S" }, "outputs": [], "source": [ "autoencoder.compile(optimizer='adam', loss='mae')" ] }, { "cell_type": "markdown", "metadata": { "id": "zuTy60STBEy4" }, "source": [ "オートエンコーダは通常の ECG のみを使用してトレーニングされますが、完全なテストセットを使用して評価されることに注意してください。" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:02:56.605067Z", "iopub.status.busy": "2024-01-11T23:02:56.604848Z", "iopub.status.idle": "2024-01-11T23:03:00.276720Z", "shell.execute_reply": "2024-01-11T23:03:00.275935Z" }, "id": "V6NFSs-jsty2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 8s - loss: 0.0684" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 2s 48ms/step - loss: 0.0619 - val_loss: 0.0539\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 2/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0567" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0559 - val_loss: 0.0519\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 3/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0549" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0539 - val_loss: 0.0501\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 4/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0517" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0503 - val_loss: 0.0484\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 5/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0472" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0458 - val_loss: 0.0480\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 6/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0436" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0421 - val_loss: 0.0453\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 7/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0395" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0380 - val_loss: 0.0425\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 8/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0360" ] }, { "name": "stdout", "output_type": "stream", "text": [ 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 17ms/step - loss: 0.0269 - val_loss: 0.0376\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 13/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0265" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0257 - val_loss: 0.0368\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 14/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0250" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0248 - val_loss: 0.0362\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 15/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0240" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 17ms/step - loss: 0.0240 - val_loss: 0.0355\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 16/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0232" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 17ms/step - loss: 0.0233 - val_loss: 0.0351\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 17/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0234" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 17ms/step - loss: 0.0226 - val_loss: 0.0347\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 18/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0216" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0221 - val_loss: 0.0344\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 19/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0213" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0217 - val_loss: 0.0342\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 20/20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "1/5 [=====>........................] - ETA: 0s - loss: 0.0217" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "5/5 [==============================] - 0s 16ms/step - loss: 0.0213 - val_loss: 0.0340\n" ] } ], "source": [ "history = autoencoder.fit(normal_train_data, normal_train_data, \n", " epochs=20, \n", " batch_size=512,\n", " validation_data=(test_data, test_data),\n", " shuffle=True)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:00.280093Z", "iopub.status.busy": "2024-01-11T23:03:00.279834Z", "iopub.status.idle": "2024-01-11T23:03:00.494451Z", "shell.execute_reply": "2024-01-11T23:03:00.493760Z" }, "id": "OEexphFwwTQS" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(history.history[\"loss\"], label=\"Training Loss\")\n", "plt.plot(history.history[\"val_loss\"], label=\"Validation Loss\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": { "id": "ceI5lKv1BT-A" }, "source": [ "再構成エラーが正常なトレーニング例からの1標準偏差より大きい場合、ECG を異常として分類します。まず、トレーニングセットからの正常な ECG、オートエンコーダーによりエンコードおよびデコードされた後の再構成、および再構成エラーをプロットします。" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:00.497767Z", "iopub.status.busy": "2024-01-11T23:03:00.497532Z", "iopub.status.idle": "2024-01-11T23:03:00.646268Z", "shell.execute_reply": "2024-01-11T23:03:00.645423Z" }, "id": "hmsk4DuktxJ2" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "encoded_data = autoencoder.encoder(normal_test_data).numpy()\n", "decoded_data = autoencoder.decoder(encoded_data).numpy()\n", "\n", "plt.plot(normal_test_data[0], 'b')\n", "plt.plot(decoded_data[0], 'r')\n", "plt.fill_between(np.arange(140), decoded_data[0], normal_test_data[0], color='lightcoral')\n", "plt.legend(labels=[\"Input\", \"Reconstruction\", \"Error\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ocA_q9ufB_aF" }, "source": [ "異常なテストサンプルで同様にプロットを作成します。" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:00.650060Z", "iopub.status.busy": "2024-01-11T23:03:00.649614Z", "iopub.status.idle": "2024-01-11T23:03:00.851690Z", "shell.execute_reply": "2024-01-11T23:03:00.851053Z" }, "id": "vNFTuPhLwTBn" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "encoded_data = autoencoder.encoder(anomalous_test_data).numpy()\n", "decoded_data = autoencoder.decoder(encoded_data).numpy()\n", "\n", "plt.plot(anomalous_test_data[0], 'b')\n", "plt.plot(decoded_data[0], 'r')\n", "plt.fill_between(np.arange(140), decoded_data[0], anomalous_test_data[0], color='lightcoral')\n", "plt.legend(labels=[\"Input\", \"Reconstruction\", \"Error\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "ocimg3MBswdS" }, "source": [ "### 異常を検出します" ] }, { "cell_type": "markdown", "metadata": { "id": "Xnh8wmkDsypN" }, "source": [ "再構成損失が指定してしきい値より大きいかどうかを計算することにより、異常を検出します。このチュートリアルでは、トレーニングセットから正常なサンプルの平均平均誤差を計算し、再構成誤差がトレーニングセットからの1標準偏差よりも大きい場合、以降のサンプルを異常として分類します。\n" ] }, { "cell_type": "markdown", "metadata": { "id": "TeuT8uTA5Y_w" }, "source": [ "トレーニングセットからの通常の ECG に再構成エラーをプロットします" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:00.855363Z", "iopub.status.busy": "2024-01-11T23:03:00.854748Z", "iopub.status.idle": "2024-01-11T23:03:01.317413Z", "shell.execute_reply": "2024-01-11T23:03:01.316512Z" }, "id": "N7FltOnHu4-l" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/74 [..............................] - ETA: 8s" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "37/74 [==============>...............] - ETA: 0s" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "74/74 [==============================] - 0s 1ms/step\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reconstructions = autoencoder.predict(normal_train_data)\n", "train_loss = tf.keras.losses.mae(reconstructions, normal_train_data)\n", "\n", "plt.hist(train_loss[None,:], bins=50)\n", "plt.xlabel(\"Train loss\")\n", "plt.ylabel(\"No of examples\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "mh-3ChEF5hog" }, "source": [ "平均より1標準偏差上のしきい値を選択します。" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:01.320646Z", "iopub.status.busy": "2024-01-11T23:03:01.320362Z", "iopub.status.idle": "2024-01-11T23:03:01.324472Z", "shell.execute_reply": "2024-01-11T23:03:01.323878Z" }, "id": "82hkl0Chs3P_" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Threshold: 0.0331916\n" ] } ], "source": [ "threshold = np.mean(train_loss) + np.std(train_loss)\n", "print(\"Threshold: \", threshold)" ] }, { "cell_type": "markdown", "metadata": { "id": "uEGlA1Be50Nj" }, "source": [ "注意: テストサンプルを異常として分類するしきい値を選択するために使用できるアプローチは他にもあります。適切なアプローチはデータセットによって異なります。詳細については、このチュートリアルの最後にあるリンクを参照してください。 " ] }, { "cell_type": "markdown", "metadata": { "id": "zpLSDAeb51D_" }, "source": [ "テストセットの異常なサンプルの再構成エラーを調べると、ほとんどの場合、再構成エラーはしきい値よりも大きいことがわかります。しきい値を変更することで、分類器の[精度](https://developers.google.com/machine-learning/glossary#precision)と[リコール](https://developers.google.com/machine-learning/glossary#recall)を調整できます。 " ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:01.327545Z", "iopub.status.busy": "2024-01-11T23:03:01.327319Z", "iopub.status.idle": "2024-01-11T23:03:01.600915Z", "shell.execute_reply": "2024-01-11T23:03:01.600308Z" }, "id": "sKVwjQK955Wy" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r", " 1/14 [=>............................] - ETA: 0s" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", "14/14 [==============================] - 0s 2ms/step\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reconstructions = autoencoder.predict(anomalous_test_data)\n", "test_loss = tf.keras.losses.mae(reconstructions, anomalous_test_data)\n", "\n", "plt.hist(test_loss[None, :], bins=50)\n", "plt.xlabel(\"Test loss\")\n", "plt.ylabel(\"No of examples\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "PFVk_XGE6AX2" }, "source": [ "再構成エラーがしきい値よりも大きい場合は、ECG を異常として分類します。" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:01.604332Z", "iopub.status.busy": "2024-01-11T23:03:01.603912Z", "iopub.status.idle": "2024-01-11T23:03:01.608423Z", "shell.execute_reply": "2024-01-11T23:03:01.607830Z" }, "id": "mkgJZfhh6CHr" }, "outputs": [], "source": [ "def predict(model, data, threshold):\n", " reconstructions = model(data)\n", " loss = tf.keras.losses.mae(reconstructions, data)\n", " return tf.math.less(loss, threshold)\n", "\n", "def print_stats(predictions, labels):\n", " print(\"Accuracy = {}\".format(accuracy_score(labels, predictions)))\n", " print(\"Precision = {}\".format(precision_score(labels, predictions)))\n", " print(\"Recall = {}\".format(recall_score(labels, predictions)))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2024-01-11T23:03:01.611237Z", "iopub.status.busy": "2024-01-11T23:03:01.611020Z", "iopub.status.idle": "2024-01-11T23:03:01.627545Z", "shell.execute_reply": "2024-01-11T23:03:01.626954Z" }, "id": "sOcfXfXq6FBd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy = 0.945\n", "Precision = 0.9922027290448343\n", "Recall = 0.9089285714285714\n" ] } ], "source": [ "preds = predict(autoencoder, test_data, threshold)\n", "print_stats(preds, test_labels)" ] }, { "cell_type": "markdown", "metadata": { "id": "HrJRef8Ln945" }, "source": [ "## 次のステップ\n", "\n", "オートエンコーダによる異常検出の詳細については、Victor Dibia が TensorFlow.js で構築したこの優れた[インタラクティブな例](https://anomagram.fastforwardlabs.com/#/)をご覧ください。実際の使用例については、TensorFlow を使用して[Airbus が ISS テレメトリデータの異常を検出する方法](https://blog.tensorflow.org/2020/04/how-airbus-detects-anomalies-iss-telemetry-data-tfx.html)を参照してください。基本の詳細については、François Chollet によるこの[ブログ投稿](https://blog.keras.io/building-autoencoders-in-keras.html)をご一読ください。詳細については、Ian Goodfellow、Yoshua Bengio、Aaron Courville による[ディープラーニング](https://www.deeplearningbook.org/)の第 14 章をご覧ください。\n" ] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [], "name": "autoencoder.ipynb", "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "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": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 0 }