material/deep_learning/anomaly_detection_using_autoencoder.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "anomaly_detection_using_autoencoder.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dT7pl6IIhmGf"
      },
      "source": [
        "# AutoEncoder를 사용한 이상탐지\n",
        "\n",
        "정상인 데이터들 중에 소수의 비정상인 데이터가 포함되어 있다.\n",
        "\n",
        "AutoEncoder를 사용하여 학습 시킨다.\n",
        "\n",
        "이렇게 학습된 AutoEncoder는 대부분의 정상 데이터에 대하여 복원 능력이 있다. 하지만 소소의 비정상 데이터에 대해서는 제대로 복원하지 못한다.\n",
        "\n",
        "이렇게 학습시킨 AutoEncoder를 가지고 특정영상을 복원 하게 하고 그 복원 결과가 좋지 않을 경우 정상영상이 아니라고 판정한다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MiK0K26yRXDU"
      },
      "source": [
        "originality from https://www.pyimagesearch.com/2020/03/02/anomaly-detection-with-keras-tensorflow-and-deep-learning/"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ggx1vh8-Q5Hb"
      },
      "source": [
        "from tensorflow.keras.layers import BatchNormalization\n",
        "from tensorflow.keras.layers import Conv2D\n",
        "from tensorflow.keras.layers import Conv2DTranspose\n",
        "from tensorflow.keras.layers import LeakyReLU\n",
        "from tensorflow.keras.layers import Activation\n",
        "from tensorflow.keras.layers import Flatten\n",
        "from tensorflow.keras.layers import Dense\n",
        "from tensorflow.keras.layers import Reshape\n",
        "from tensorflow.keras.layers import Input\n",
        "from tensorflow.keras import Model\n",
        "from tensorflow.keras import backend as K\n",
        "import numpy as np\n",
        "\n",
        "from tensorflow.keras.optimizers import Adam\n",
        "from tensorflow.keras.datasets import mnist\n",
        "from sklearn.model_selection import train_test_split\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "import random\n",
        "import pickle\n",
        "import cv2\n",
        "import matplotlib\n"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QMP_1UveaP7o"
      },
      "source": [
        "# 데이터 준비"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Px2BRFbYSeGC"
      },
      "source": [
        "## 데이터 로딩"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jcdDPk2QSVtN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e7a370c1-d134-40f6-bece-decd0ee269bb"
      },
      "source": [
        "((trainX, trainY), (testX, testY)) = mnist.load_data()"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
            "11493376/11490434 [==============================] - 0s 0us/step\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "t6H7x5ALTUbQ"
      },
      "source": [
        "## 데이터셋 생성\n",
        "\n",
        "1의 레이블 영상이 정상이고 3의 레이블 영상이 비정상으로 한다.\n",
        "\n",
        "정상 영상과 비정상 영상의 비율을 100:1로 해서 골라내고, 골고루 섞은 데이터셋을 만든다.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YmFiDOjxSgTr",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "14c362d6-b2b1-4864-97e8-ee186ca5009c"
      },
      "source": [
        "def build_unsupervised_dataset(data, labels, validLabel=1, anomalyLabel=3, contam=0.01, seed=42):\n",
        "\n",
        "  # 레이블 1인 영상의 인덱스\n",
        "\tvalidIdxs = np.where(labels == validLabel)[0]\n",
        "  # 레이블 3인 영상의 인덱스\n",
        "\tanomalyIdxs = np.where(labels == anomalyLabel)[0]\n",
        "\n",
        "  # 무작위로 섞어 주고\n",
        "\trandom.shuffle(validIdxs)\n",
        "\trandom.shuffle(anomalyIdxs)\n",
        "\n",
        "  # 비정상 데이터의 갯수를 비정상 데이터 갯수 대비 0.01(contam)로 한다.\n",
        "\ti = int(len(validIdxs) * contam)\n",
        "\tanomalyIdxs = anomalyIdxs[:i]\n",
        "\n",
        "\tprint(\"len(validIdx)=\",len(validIdxs))\n",
        "\tprint(\"len(anomalyIdxs)=\",len(anomalyIdxs))\n",
        "\n",
        "  # 추려낸 정상 데이터와 비정상 제이터\n",
        "\tvalidImages = data[validIdxs]\n",
        "\tanomalyImages = data[anomalyIdxs]\n",
        "\n",
        "  # 두개의 데이터를 합하고, 다시 섞어주고\n",
        "\timages = np.vstack([validImages, anomalyImages])\n",
        "\tnp.random.seed(seed)\n",
        "\tnp.random.shuffle(images)\n",
        "\n",
        "\treturn images\n",
        "\n",
        "images = build_unsupervised_dataset(trainX, trainY, validLabel=1, anomalyLabel=3, contam=0.01)"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "len(validIdx)= 6742\n",
            "len(anomalyIdxs)= 67\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PYFkWnRvTn7s",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "50124ce9-b0e6-414d-c580-e6eabe3291c3"
      },
      "source": [
        "print(images.shape)\n",
        "print(np.max(images))\n",
        "print(np.min(images))"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(6809, 28, 28)\n",
            "255\n",
            "0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gFcF6zAgT1W7"
      },
      "source": [
        "## 데이터 모양 변경, Normalization\n",
        "\n",
        "Conv2D 사용을 위해 데이터 모양을 (H, W, channel)의 3차원으로 만들고\n",
        "(28, 28) -> (28, 28, 1)\n",
        "\n",
        "0 ~ 1.0으로 normlaization 한다.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_MMHz4HuSXLe"
      },
      "source": [
        "images = np.expand_dims(images, axis=-1)\n",
        "images = images.astype(\"float32\") / 255.0"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QLTm065KTxe-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "42763818-1de5-4142-e6e2-0f1db7f9e7c1"
      },
      "source": [
        "print(images.shape)\n",
        "print(np.max(images))\n",
        "print(np.min(images))"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(6809, 28, 28, 1)\n",
            "1.0\n",
            "0.0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xl8ojlF1Sa8-"
      },
      "source": [
        "## 데이터 분리"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8eMcmvZfSLKb"
      },
      "source": [
        "(trainX, testX) = train_test_split(images, test_size=0.2, random_state=42)"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LyTt5uEvUXBi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        },
        "outputId": "a31af272-b331-48c0-cede-2d9165a8ae45"
      },
      "source": [
        "print(trainX.shape)\n",
        "print(testX.shape)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(5447, 28, 28, 1)\n",
            "(1362, 28, 28, 1)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MyD63VjKUO96",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "f4a7f7f4-6bfa-4901-d224-f024a204a130"
      },
      "source": [
        "for i in range(10):\n",
        "  plt.imshow(trainX[i].reshape((28,28)))\n",
        "  plt.show()"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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e9D9J8zV4RP5ZSbdX0UNOXzMkPZ79bau6N0mrNfixrk+DxzZuljRJUo+kHZJ+KKmjhXq7R9IWSU9oMFhTK+rtSg1+RH9C0ubsb37V712ir6a8b/xcFgiCA3RAEIQdCIKwA0EQdiAIwg4EQdiBIAg7EMT/A07gYj9yiHVXAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
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            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Q_Q0KmBzaTW2"
      },
      "source": [
        "# 학습"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6heqK93nUcbu"
      },
      "source": [
        "## 모델 정의"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iug0SB6xRunv"
      },
      "source": [
        "class ConvAutoencoder:\n",
        "\n",
        "\t@staticmethod\n",
        "\tdef build(width, height, depth, filters=(32, 64), latentDim=16):\n",
        "\t\tinputShape = (height, width, depth)\n",
        "\t\tchanDim = -1\n",
        "\n",
        "\t\tinputs = Input(shape=inputShape)\n",
        "\t\tx = inputs\n",
        "\n",
        "\t\tfor f in filters:\n",
        "\t\t\t# apply a CONV => RELU => BN operation\n",
        "\t\t\tx = Conv2D(f, (3, 3), strides=2, padding=\"same\")(x)\n",
        "\t\t\tx = LeakyReLU(alpha=0.2)(x)\n",
        "\t\t\tx = BatchNormalization(axis=chanDim)(x)\n",
        "\n",
        "\t\tvolumeSize = K.int_shape(x)\n",
        "\t\tx = Flatten()(x)\n",
        "\t\tlatent = Dense(latentDim)(x)\n",
        "\n",
        "\t\tencoder = Model(inputs, latent, name=\"encoder\")\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\t\tlatentInputs = Input(shape=(latentDim,))\n",
        "\t\tx = Dense(np.prod(volumeSize[1:]))(latentInputs)\n",
        "\t\tx = Reshape((volumeSize[1], volumeSize[2], volumeSize[3]))(x)\n",
        "\n",
        "\t\tfor f in filters[::-1]:\n",
        "\t\t\t# apply a CONV_TRANSPOSE => RELU => BN operation\n",
        "\t\t\tx = Conv2DTranspose(f, (3, 3), strides=2, padding=\"same\")(x)\n",
        "\t\t\tx = LeakyReLU(alpha=0.2)(x)\n",
        "\t\t\tx = BatchNormalization(axis=chanDim)(x)\n",
        "\n",
        "\t\tx = Conv2DTranspose(depth, (3, 3), padding=\"same\")(x)\n",
        "\t\toutputs = Activation(\"sigmoid\")(x)\n",
        "\n",
        "\t\tdecoder = Model(latentInputs, outputs, name=\"decoder\")\n",
        "\n",
        "\n",
        "\n",
        "\t\tautoencoder = Model(inputs, decoder(encoder(inputs)), name=\"autoencoder\")\n",
        "\n",
        "\n",
        "\t\treturn autoencoder"
      ],
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hlwEEWjOUfP-"
      },
      "source": [
        "## 모델 생성"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3vMLoDYiSG72",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d861ba1f-f490-45db-97b8-0f31ca678f99"
      },
      "source": [
        "autoencoder = ConvAutoencoder.build(28, 28, 1)\n",
        "autoencoder.summary()"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"autoencoder\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_1 (InputLayer)         [(None, 28, 28, 1)]       0         \n",
            "_________________________________________________________________\n",
            "encoder (Functional)         (None, 16)                69392     \n",
            "_________________________________________________________________\n",
            "decoder (Functional)         (None, 28, 28, 1)         109377    \n",
            "=================================================================\n",
            "Total params: 178,769\n",
            "Trainable params: 178,385\n",
            "Non-trainable params: 384\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bGy_UYqmaLm6"
      },
      "source": [
        "## 모델 컴파일"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Siijg0OhVGLO"
      },
      "source": [
        "# decay값은 1 step 마다 감소하는 비율\n",
        "opt = Adam(learning_rate=1e-3, decay=0.0025)\n",
        "autoencoder.compile(loss=\"mse\", optimizer=opt)"
      ],
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "00HscLDMaNDK"
      },
      "source": [
        "## 학습"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qK0eIAZVaI26",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6fbebf65-e479-473c-feda-49a9b5744359"
      },
      "source": [
        "history = autoencoder.fit(trainX, trainX, validation_split=0.1, epochs=20, batch_size=32)"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/20\n",
            "154/154 [==============================] - 12s 71ms/step - loss: 0.0843 - val_loss: 0.0425\n",
            "Epoch 2/20\n",
            "154/154 [==============================] - 10s 67ms/step - loss: 0.0157 - val_loss: 0.0379\n",
            "Epoch 3/20\n",
            "154/154 [==============================] - 11s 68ms/step - loss: 0.0101 - val_loss: 0.0176\n",
            "Epoch 4/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0057 - val_loss: 0.0063\n",
            "Epoch 5/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0036 - val_loss: 0.0037\n",
            "Epoch 6/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0032 - val_loss: 0.0030\n",
            "Epoch 7/20\n",
            "154/154 [==============================] - 10s 68ms/step - loss: 0.0028 - val_loss: 0.0028\n",
            "Epoch 8/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0027 - val_loss: 0.0027\n",
            "Epoch 9/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0025 - val_loss: 0.0027\n",
            "Epoch 10/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0024 - val_loss: 0.0027\n",
            "Epoch 11/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0023 - val_loss: 0.0026\n",
            "Epoch 12/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0023 - val_loss: 0.0025\n",
            "Epoch 13/20\n",
            "154/154 [==============================] - 11s 68ms/step - loss: 0.0022 - val_loss: 0.0025\n",
            "Epoch 14/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0022 - val_loss: 0.0024\n",
            "Epoch 15/20\n",
            "154/154 [==============================] - 10s 68ms/step - loss: 0.0021 - val_loss: 0.0024\n",
            "Epoch 16/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0020 - val_loss: 0.0024\n",
            "Epoch 17/20\n",
            "154/154 [==============================] - 11s 68ms/step - loss: 0.0020 - val_loss: 0.0023\n",
            "Epoch 18/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0020 - val_loss: 0.0023\n",
            "Epoch 19/20\n",
            "154/154 [==============================] - 11s 68ms/step - loss: 0.0020 - val_loss: 0.0023\n",
            "Epoch 20/20\n",
            "154/154 [==============================] - 11s 69ms/step - loss: 0.0019 - val_loss: 0.0024\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZZ_Ll4klagb2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 316
        },
        "outputId": "b02061a4-be79-4252-edc2-e2ec132cd96e"
      },
      "source": [
        "N = np.arange(len(history.history['loss']))\n",
        "\n",
        "plt.style.use(\"ggplot\")\n",
        "plt.figure()\n",
        "plt.plot(N, history.history[\"loss\"], label=\"train_loss\")\n",
        "plt.plot(N, history.history[\"val_loss\"], label=\"val_loss\")\n",
        "plt.title(\"Training Loss\")\n",
        "plt.xlabel(\"Epoch #\")\n",
        "plt.ylabel(\"Loss\")\n",
        "plt.legend(loc=\"lower left\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f3097251b70>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zP9-5FpUcyaX"
      },
      "source": [
        "## 테스트 데이터에 대한 복원 실행"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "C0AwsO_daXM6"
      },
      "source": [
        "reconstructed = autoencoder.predict(testX)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nXJR3cfvcP5S",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "a15f8c47-88cb-4284-935f-3417ada07452"
      },
      "source": [
        "for i in range(10):\n",
        "  combined = np.hstack([testX[i], reconstructed[i]])\n",
        "  plt.imshow(combined.squeeze())\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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VVSUouL/Qq5+JBv7098Lq6WLc6Bz4tHUrxHjym/Lcuz9M9/76MXd9XV+DvL63FjtEcX5g5sBV7bEMHVgn/Gf7/hErZxQBADpny3PgWzf9RIzbFXc+bmi8X4wf/J48B44AzYEr74i8RsWBYhQ88FLfgdE58AB5zy2vu+5TFcqIESNgsVhgsViQm5uL+vp6vxpHRETG+bQWSktLC5KSkgAAVVVVGD16dEAbRdcbWb5fjC9qfV6Mf1C8SYy/8XK5GP/2pO+L8Xte+0SMuy7K62WQDwx+5VePqAOzw4uyOqX7mikLt+45HranVjx/WZ28u9R/jN8pxp9L/lCM//VDM8X41/4kjz11l8Exqep182Jk7hejU2EKgybw8vJyHD16FO3t7Vi2bBkWLFiA2tpanDp1CpqmISUlBc8880xAGkNERN4bNIGvXr36ptg3vvGNoDSGiIi8xzsxiYhMigmciMikmMCJiEyKO/KYWNJWRf12sRweFyv/5ftPC14X43kfrhLjt22PwiqUQN0AEqgdeZRraARo56AAcXfKO+NYV9wlxl3vye1Msso37JQv+ScxvqFykRiPPfqZGFft4KO75NdTGxI7cGCxwBLfd2+Fqr/hev05AiciMikmcCIik2ICJyIyKSZwIiKTYgInIjIpVqGQUtqqE2K8ZXuIGxIKwd5JR8Xo9cNU7aCkWjvl5Kdi/B8vyasO/viOGjF+39BWMf7JI0PFeDq+JsZjPpJXL0Rvrxy/sV/9x8F+/Q2uwcIROBGRSTGBExGZFBM4EZFJMYETEZkUEzgRkUmxCiUKrTg7Q4xvcuwzdB0LIqziIRyCvMdl2KpfgkxXVHc4/+c0Mf7jIrkKxWaR9wAtniuXQr2kPS7G7zkmb5qsdOP70n8crk2lFTgCJyIyKSZwIiKTYgInIjIpJnAiIpNiAiciMqlBq1AaGxtRUVGB1tZWaJqGvLw8zJkzBx0dHSgrK8OlS5eQkpKCNWvWICEhIRRtpkF8/vgdYnz9rili/MXkQ2L87+/6nRjfuP8hMV61d4Ln8ZejhuPTkr6KgzGFip2DopHZ1zYJFEW1RuqeC2K85R+6xPhtiiqU6fFnxPgd4y+JcXea/DthOS3vLqV3dw8caBpguTrWVa1VotopyWKV426XHIfiOgqDJnCr1YqnnnoK6enp6OrqQmFhIaZMmYL3338fkydPRn5+Pnbt2oVdu3Zh0SJ5myMiIgq8QadQkpKSkJ6eDgCIj4+Hw+FAc3MzqqurkZOTAwDIyclBdXV1cFtKRETX0XTd++9wDQ0NKCoqQmlpKZYvX46tW7cCAHRdx9KlSz3H13I6nXA6nQCAkpISnDhYDwBIm+DA6Y/P+t8Dkwhpf4fKXzuHZ3wpxkfGyBu1dis+GRd7EsX45Y44z+OM5GTUNzX1Nefzy6qWRgV+lg0YKi8DO+aeJjFuhTwV06O4yeyTrmT5OmcVY9UrPXL8mrSYds+dOH38fN+BSzX1EVzjMjPEuNd3YnZ3d6O0tBRLlizBsGHX7yCtaRo0xZxXXl4e8vLyPMcF9xcCACqqSjyPbwWh7G/MGHlN5MxddWJcNQd+okf+Jdl4fvA58J2Ln8Qj//yvAEwyB+7HHXb8LAsUr6c14+ti/J//8H/EuGoO/KJLHowsqf1bMW57OU6MezMH/rP312HlrB8BANyK3e2Vc+CqOXPVHLjidXvPtUOMe1WF0tvbi9LSUsycORPZ2dkAAJvNhpaWFgBAS0sLEhPlURkREQXHoCNwXdexZcsWOBwOzJs3zxPPzMxEZWUl8vPzUVlZiaysrKA2lLzX++lnYnzHv+WI8Re/J4/Ax8XKo4H/lfZ7Mf5XGaM9j7WhblgzOr6qmQQYH/mrBKqaxdv29J+nel7VTj2n5OqR6f/yvBg/vOinYvx2xci8aOxvxHhx2hIxntgiT+/pndeMtHUdcPeNsDWrXFWi96hG1HI4UO/7oAn8+PHj2Lt3L9LS0vDCCy8AABYuXIj8/HyUlZVhz549njJCIiIKnUET+Pjx47Fjhzz/sm7duoA3iIiIvMM7MYmITIoJnIjIpJjAiYhMijvy3ELG/Fq+WQLfC207TEVVx3vjmhWeHVvk81XVC7AoqhEM3jCiG73BxGD1iM/n3fhjip16Mn70/8R40Tezxfj61Cox/hdD5M/4nc/J90C0PXuXGLecu3bNFn3g/VDWe6t2VlKcb3SHJgWOwImITIoJnIjIpJjAiYhMigmciMikmMCJiEyKVSi3knPyymvTNqwW4+1j5coGi11eCW7Uv8R6HsdMsSB1q7wCXCRSrnHhVlULWMRjTVFVoqwS6TVYpaDa4cXkO/u4O+VV/v68dIIYX/VP8mfrcq+8XG3Nh2PF+N2udjGuDb9mxVWL1XOst30hnh+u158jcCIik2ICJyIyKSZwIiKTYgInIjIpJnAiIpNiFcotxHV1C7wbjfzpfjnux3NZir6Nof9Z7ccVQktZbeLtWhZX9zjUddWaGAGqUlDtpRil3EeOifHPv+2Qf0Cx1so9cefl8xXvi+vaahOXC+6rx4bXnAkyjsCJiEyKCZyIyKSYwImITIoJnIjIpJjAiYhMatAqlMbGRlRUVKC1tRWapiEvLw9z5szBjh07sHv3biQmJgIAFi5ciKlTpwa9wURBodxpJTA78tx0vud5DVanKHd+CVCVi7c7wvSfF+w1QBTX7z3zuRjXYuSUZhlhE+Pu1jb5aa+tNtH1geMw9Vdl0ARutVrx1FNPIT09HV1dXSgsLMSUKVMAAHPnzsXDDz/sW0OJiMgvgybwpKQkJCUlAQDi4+PhcDjQ3Nwc9IYREdFX03Td+zF7Q0MDioqKUFpait/85jeorKxEfHw80tPTsXjxYiQkJNz0M06nE06nEwBQUlKCEwfrAQBpExw4/fHZAHUj8rG/0etW6isQ4f1VTQGpNpVW3ZhzTVqMhP6Oy8wQ414n8O7ubhQVFWH+/PnIzs5Ga2urZ/57+/btaGlpwfLlywe9zmzLYwCAiqoSFNxf6G37TY/9jXCqX3zVnPY1c+YVH76Kguy1Xp9/fdx8c+DX9TfC1iEPxhx4JPT3PfevxLhXVSi9vb0oLS3FzJkzkZ2dDQAYMWIELBYLLBYLcnNzUV9fH7jWEhHRoAadA9d1HVu2bIHD4cC8efM88ZaWFs/ceFVVFUaPHh28VhIFm7J6xCDVSFv5vF5WfXiuH6YR743PG2Ej736qtUpcTQH6u53R90tF9foZvP6gCfz48ePYu3cv0tLS8MILLwDoKxn84IMPcOrUKWiahpSUFDzzzDOGnpiIiPwzaAIfP348duzYcVOcNd9EROHFOzGJiEyKCZyIyKSYwImITIo78hAB0BQ3eih3YLmxaqX/WFGFog0ZIl//yhWv2jdwoSBXQXhbHRGqtVAM9lf1PqoE7P1VfX5UOz0p1sYx2n6OwImITIoJnIjIpJjAiYhMigmciMikmMCJiEzK0HKyREQUOcI2Ai8sNNFSowHA/kavW6mvAPsbSTiFQkRkUkzgREQmZf3hD3/4w3A9eXp6erieOizY3+h1K/UVYH8jBf+ISURkUpxCISIyKSZwIiKTCvlqhIcPH8Zbb70Ft9uN3Nxc5Ofnh7oJQbd582bU1NTAZrOhtLQUANDR0YGysjJcunQJKSkpWLNmDRISEsLcUv81NjaioqICra2t0DQNeXl5mDNnTtT298qVKygqKkJvby9cLhceeOABLFiwAA0NDSgvL0d7ezvS09OxcuVKxCh2SDcbt9uNwsJC2O12FBYWRnVfCwoKEBcXB4vFAqvVipKSksj+LOsh5HK59BUrVugXLlzQe3p69Oeff14/c+ZMKJsQErW1tXp9fb3+7LPPemLbtm3Td+7cqeu6ru/cuVPftm1buJoXUM3NzXp9fb2u67re2dmpr1q1Sj9z5kzU9tftdutdXV26rut6T0+PvnbtWv348eN6aWmpvm/fPl3Xdf3nP/+5/u6774azmQH1zjvv6OXl5fqrr76q67oe1X1dvny53tbWdl0skj/LIZ1Cqaurw8iRI5GamoqYmBhMnz4d1dXVoWxCSEycOPGm/6Grq6uRk5MDAMjJyYmaficlJXn+Qh8fHw+Hw4Hm5uao7a+maYiLiwMAuFwuuFwuaJqG2tpaPPDAAwCAWbNmRU1/m5qaUFNTg9zcXACArutR21eVSP4sh/R7T3NzM5KTkz3HycnJOHnyZCibEDZtbW1ISkoCAIwYMQJtbW1hblHgNTQ04NNPP8Xdd98d1f11u9148cUXceHCBTz00ENITU3FsGHDYL26GL/dbkdzc3OYWxkYW7duxaJFi9DV1QUAaG9vj9q+9isuLgYAzJ49G3l5eRH9WY6OiSuT0TQNWqB2VokQ3d3dKC0txZIlSzBs2LDr/i3a+muxWLBhwwZcvnwZGzduxLlz58LdpKD46KOPYLPZkJ6ejtra2nA3JyReeeUV2O12tLW1Yf369bjrrruu+/dI+yyHNIHb7XY0NTV5jpuammC320PZhLCx2WxoaWlBUlISWlpakJiYGO4mBUxvby9KS0sxc+ZMZGdnA4ju/vYbPnw4Jk2ahBMnTqCzsxMulwtWqxXNzc1R8bk+fvw4Dh48iEOHDuHKlSvo6urC1q1bo7Kv/fr7YrPZkJWVhbq6uoj+LId0DjwjIwPnz59HQ0MDent7sX//fmRmZoayCWGTmZmJyspKAEBlZSWysrLC3KLA0HUdW7ZsgcPhwLx58zzxaO3vF198gcuXLwPoq0g5cuQIHA4HJk2ahAMHDgAA3n///aj4XD/55JPYsmULKioqsHr1atx7771YtWpVVPYV6PsW2T9V1N3djSNHjiAtLS2iP8shvxOzpqYGv/jFL+B2u/Hggw9i/vz5oXz6kCgvL8fRo0fR3t4Om82GBQsWICsrC2VlZWhsbIy8UiQ/HDt2DOvWrUNaWprnq+XChQsxduzYqOzvZ599hoqKCrjdbui6jmnTpuHRRx/FxYsXUV5ejo6ODowZMwYrV65EbGxsuJsbMLW1tXjnnXdQWFgYtX29ePEiNm7cCKDvD9QzZszA/Pnz0d7eHrGfZd5KT0RkUrwTk4jIpJjAiYhMigmciMikmMCJiEyKCZyIyKSYwImITIoJnIjIpP4/DVkyHsega7QAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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9G8uWLdP14UREFLuIQyhWqxWlpaUAgJycHNjtdni9XjQ3N6OyshIAUFlZiebm5sS2lIiIhtF1I09nZydOnjyJ2267DX6/H1arFQBQUFAAv98vfI/H44HH4wEAOJ1OuJucAICSKfbw64yVe/VRmyW3jsVLu1YAAIrtDwpXH62IL0e13KWKL8Pcr4gvj3FR/IjPRBgR+/crJVPscL+/OdXN0EfjRp5x4/9JGFdM11zamydCKfwNAGCUxhX/f/3NWGE8+47L4jcE9B37yZTO+zfqBD4wMACXy4VHH30Uubm5w36nKAoUjTEdh8MBh8MRXq6ZVQsAcDc5w68z1bVj4C/tWoEnHv4ZAGDN678Srj8vR9/Y9WGNMfDnHl8ufsPBo7q2Hw/p9m8cY+Du9zejpmL99ddPM1k32YXxdY1vCeNVOVcTrFL4G6jdiwFoj4Ev2vfPwvjkfxGPgQf9Gs8JV0PiuBajvn+t/WvU5+o83vaGXhfGo6pCCQQCcLlcmDNnDioqKgAAFosFPt+XD3X3+XzIz8+PZlNERGSQiGfgqqpi+/btsNvtWLhwYTheVlaGxsZGVFdXo7GxEeXl5QltqIwGi64OoahZSnhZ75n2uaD4snPTMo3L3YN/0rV9MlCaPStDa+adrntLhPHZ2QMaGxJf7bUPiY9N2/+Jn5WiDg6KN5+qM+1otx/r5yX4eIiYwNva2rB//36UlJTg6aefBgAsXboU1dXVqKurwzvvvBMuIyQiouSJmMAnT56MhoYG4e82bNhgeIOIiCg6vBOTiEhSTOBERJJiAicikhRn5EmgUwuvVgBcLlCGLeux4ND3hXH7AVab0PWZssXVIJ3zxNUgJo1zumvrvUepV5d3+sSzPxX/76fCePCyxo08ktTP65bgfvEMnIhIUkzgRESSYgInIpIUEzgRkaSYwImIJMUqlAQa1XvNLCbB4csi7UMBYXzci+JKAkpDqaqm0HjmhhoUPy3Q0iI+po5rVKd0DF19RHGl1YTGS2MAAIeeuku4ftaZI+J2htL3sbHD6J2RJ9qZfSKtrxPPwImIJMUETkQkKSZwIiJJMYETEUmKCZyISFKsQkmgW370x/Dr0fO/G15e9CN9sxeZ0WJou8gARs3YYhSNz1c1nj1S/OIBYXyde7Z4+9dUj0xtyoZ71iQAQBYO62ikRPTu30hVKtHSuR2egRMRSYoJnIhIUkzgRESSYgInIpIUEzgRkaQiVqF0dXXB7Xajp6cHiqLA4XBgwYIFaGhowL59+5Cfnw8AWLp0KWbOnJnwBhMlVbRVAVfWS3U1SrxkeVZJqiT42SZ6txMxgZvNZjz88MMoLS1Ff38/amtrMWPGDADA/fffj0WLFsXWUCIiikvEBG61WmG1WgEAOTk5sNvt8Hq9CW8YERFdn6Kq0Z+zd3Z2YuPGjXC5XHjzzTfR2NiInJwclJaWYvny5cjLy/vGezweDzweDwDA6XTi+KEOAEDJFDs++fAzg7qR/tjfzDWS+gqwv6kwqWyiMB51Ah8YGMDGjRuxePFiVFRUoKenJzz+/dprr8Hn82HVqlURtzPf9CAAwN3kRM2s2mjbLz32N83FcSed+/3NqKlY/+WC7GPgUZBu38ZpWH8TPQauYW/odWE8qiqUQCAAl8uFOXPmoKKiAgBQUFAAk8kEk8mEqqoqdHR0GNdaIiKKKGICV1UV27dvh91ux8KFC8Nxn88Xft3U1IQJEyYkpoVEyaCq4p9o1r92WYuiiH/IWOn2Pettj871I/4Ts62tDfv370dJSQmefvppAF+WDP7hD3/AqVOnoCgKioqKsGLFCv2dIyKimEVM4JMnT0ZDQ8M34qz5JiJKLd6JSUQkKSZwIiJJMYETEUmKM/IQAfrre7++fqzPQklVhUS0/Yq0vlH0fg9a7TGqX1r7V0uKvjeegRMRSYoJnIhIUkzgRESSYgInIpIUEzgRkaR0PU6WiIjSR8rOwGtrR87jKAH2N5ONpL4C7G864RAKEZGkmMCJiCRlfvbZZ59N1YeXlpam6qNTgv3NXCOprwD7my74T0wiIklxCIWISFJM4EREkkr60wiPHDmCHTt2IBQKoaqqCtXV1cluQsJt27YNLS0tsFgscLlcAIC+vj7U1dXh/PnzKCoqwtq1a5GXl5filsavq6sLbrcbPT09UBQFDocDCxYsyNj+Dg4OYuPGjQgEAggGg7j77ruxZMkSdHZ2or6+Hr29vSgtLcWTTz6JrKzMeNhnKBRCbW0tbDYbamtrM7qvNTU1yM7OhslkgtlshtPpTO9jWU2iYDCoPvHEE+oXX3yhDg0NqU899ZR65syZZDYhKVpbW9WOjg513bp14diuXbvUN954Q1VVVX3jjTfUXbt2pap5hvJ6vWpHR4eqqqp66dIldfXq1eqZM2cytr+hUEjt7+9XVVVVh4aG1PXr16ttbW2qy+VS33vvPVVVVfWnP/2p+vbbb6eymYbas2ePWl9fr27evFlVVTWj+7pq1SrV7/cPi6XzsZzUIZT29naMGzcOxcXFyMrKwj333IPm5uZkNiEppk6d+o2/0M3NzaisrAQAVFZWZky/rVZr+D/0OTk5sNvt8Hq9GdtfRVGQnZ0NAAgGgwgGg1AUBa2trbj77rsBAHPnzs2Y/nZ3d6OlpQVVVVUAAFVVM7avWtL5WE7qdY/X60VhYWF4ubCwECdOnEhmE1LG7/fDarUCAAoKCuD3+1PcIuN1dnbi5MmTuO222zK6v6FQCD/4wQ/wxRdf4Dvf+Q6Ki4uRm5sLs9kMALDZbPB6vSlupTF27tyJZcuWob+/HwDQ29ubsX294rnnngMAzJ8/Hw6HI62P5cwYuJKMoihQUjUTS4IMDAzA5XLh0UcfRW5u7rDfZVp/TSYTXnjhBVy8eBFbtmzB2bNnU92khDh8+DAsFgtKS0vR2tqa6uYkxU9+8hPYbDb4/X5s2rQJ48ePH/b7dDuWk5rAbTYburu7w8vd3d2w2WzJbELKWCwW+Hw+WK1W+Hw+5Ofnp7pJhgkEAnC5XJgzZw4qKioAZHZ/r7jxxhsxbdo0HD9+HJcuXUIwGITZbIbX682I47qtrQ2HDh3CBx98gMHBQfT392Pnzp0Z2dcrrvTFYrGgvLwc7e3taX0sJ3UMfOLEifj888/R2dmJQCCAAwcOoKysLJlNSJmysjI0NjYCABobG1FeXp7iFhlDVVVs374ddrsdCxcuDMcztb8XLlzAxYsXAXxZkXL06FHY7XZMmzYNBw8eBAC8++67GXFcP/TQQ9i+fTvcbjfWrFmDO+64A6tXr87IvgJfXkVeGSoaGBjA0aNHUVJSktbHctLvxGxpacGrr76KUCiEefPmYfHixcn8+KSor6/HsWPH0NvbC4vFgiVLlqC8vBx1dXXo6upKv1KkOHz00UfYsGEDSkpKwpeWS5cuxe23356R/T19+jTcbjdCoRBUVcW3v/1tPPDAAzh37hzq6+vR19eHW2+9FU8++SRGjRqV6uYaprW1FXv27EFtbW3G9vXcuXPYsmULgC//QT179mwsXrwYvb29aXss81Z6IiJJ8U5MIiJJMYETEUmKCZyISFJM4EREkmICJyKSFBM4EZGkmMCJiCT1/7qR+L7fMt6LAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAADHCAYAAAAAoQhGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAYnUlEQVR4nO3df3CU9Z0H8Pezm0ASYja7aQh1JWpABRTGwYSoBw2Y5bTAcSmHXLFIUXseQ8SCV8fQ6wE95VwHtsnULqWdOuDQuxvjtNCx0x5loYZDiglGhjZgIDkQqmhIslkSSIDdfe6PyCbB78Pm2X32x3fzfs04s88nz373+83z+OHZJ5/n+1VUVVVBRETSMSW6A0REFBkmcCIiSTGBExFJigmciEhSTOBERJJiAiciklRaNG8+evQotm/fjmAwiPLyclRUVBjVLyIiCiPiBB4MBvHGG2/gBz/4AfLy8rBu3ToUFxfjtttuu+n75poeBwC4652onFEV6cdLh+NNcoqib/9Bj08MGavedobR/hBa7et9nCOKfrrffxWVpesie3Mc+xkVo46vQePdG6gVxiO+hdLS0oJx48ahoKAAaWlpePjhh9HQ0BBpc0REpJMS6ZOYhw8fxtGjR7Fy5UoAwIEDB3Dq1Ck888wzQ/bzeDzweDwAAKfTiZNHWgEAhZPtOHvik2j6LhWON3WNpLECHG8i3F08QRiP6h74cDgcDjgcjtD29a8i0n3FjhLHm+R4C2XYeAslsnaGJV63UGw2Gzo6OkLbHR0dsNlskTZHREQ6RZzAJ0yYgPPnz6OtrQ1+vx+HDh1CcXGxkX0jko+qiv9L1P6x7n+i2jHq95aodgwS8S0Us9mMp59+Gps2bUIwGMScOXMwfvx4I/tGREQ3EdU98OnTp2P69OlG9YWIiHTgk5hERJJiAicikhQTOBGRpGJeB04khVhXDCTbyoV6+3Pj/sk2nuuStV/DpbP/vAInIpIUEzgRkaSYwImIJMUETkQkKSZwIiJJsQqFCIj9LHNEw6HzPOQVOBGRpJjAiYgkxQRORCQpJnAiIkkxgRMRSYpVKESRuLFa4Po2q1MiYzILw4pZHFf918TtyP7751woREQjAxM4EZGkmMCJiCTFBE5EJCkmcCIiSUVVhVJZWYmMjAyYTCaYzWY4nU6j+kVRSLPfKow3r7ldGG/51k+F8dnf+SdhfPTvGiLrGCUPrTk3YlzFYc6zCeOfbc8Xxv/lHo8w/vq/Py6MW/5b49wMBsJ3TkJRlxFu2LABOTk5RvSFiIh04C0UIiJJKaoa+XemyspKZGdnAwDmzp0Lh8PxpX08Hg88nv6vQU6nEyePtAIACifbcfbEJ5F+tHTiOt5R6cLwlbGjhPH78i4I481nxF9rTb5LYbswko7vSBorEOV408Rf+q/dIY6Py7gojLd9ahXGzZ3hz029kuH43l08QRiPKoF3dnbCZrPB5/PhlVdewVNPPYUpU6bc9D1zTf33rtz1TlTOqIr0o6UTz/Emwz1w6Y6v3vnAB3G//yoqS9f1b8jyJGAU98CjObYy3gNPhnN5b/BtYTyqWyg2W//BsFgsKCkpQUtLSzTNERGRDhH/EbOvrw+qqiIzMxN9fX04duwYFi9ebGTfKEJnl94hjJ944nVh/JrGRZeytk38g99F0KlUc+OVqixX3nGipItv112cfZcw/p/TqoXx2zVuubz+rXZh3Pw7cUFFoKtLGNc8blpz3WhJ0PGPOIH7fD5s2bIFABAIBDBz5kzcf//9hnWMiIhuLuIEXlBQgM2bNxvZFyIi0oFlhEREkmICJyKSFBM4EZGkuCKPxExjxgjjykyvIe2XFzQL4/+LDEPal4JR1QUJmnsk5jTGpaSLU0v7P14Wxu9O13dOjR3TI4z7zRrXpIpGXNWoD79x/+vbanAYvYsfXoETEUmKCZyISFJM4EREkmICJyKSFBM4EZGkWIUisSsPTRLGPyj5uSHt7/rJHGH8K/iTIe2PKMlWbRLj/pjGjRXGdxTvEMbNilkYv6JeE8ZPvH+nMD7xyl/EHdJbPXLj/klWfXIdr8CJiCTFBE5EJCkmcCIiSTGBExFJigmciEhSrEKR2Jnlsa0kKNglXiIv8tUFRzC9a24mW9WKBiVNvID2mW+K12V9YLS+9n3Bq8K4vc4vjAcvieda0S1RKy7pPE94BU5EJCkmcCIiSTGBExFJigmciEhSTOBERJIKW4WydetWNDY2wmKxwOVyAQB6enpQXV2NCxcuID8/H2vXrkV2dnbMOztSKemjhPEfPVRrSPvPnpstjAcvXjSkfYI0VSWaTGbhtnm8uNrE9fQbwni6xpwnWl5rmyWMZ73/f8J4QGvOEtl//xrCXoHPnj0b3//+94fEdu/ejalTp+LHP/4xpk6dit27d8esg0REJBY2gU+ZMuVLV9cNDQ0oKysDAJSVlaGhoSE2vSMiIk0RPcjj8/lgtVoBALm5ufD5fJr7ejweeDweAIDT6YS73gkAKJxsD70eCaIar0Zxf769TxhPN+l71GZjzi3C+LWDkX8dHUnHdySNFfhivIc39W+MFt/eK7CvEMYVk75pWV/IyRLGe/+gkbr84gd8opHMxzfqJzEVRYFyk6eHHA4HHA5HaLtyRhUAwF3vDL0eCaIZr9Y98JXHjwvj87O0/0EV2ahxD/x8mfgpOPXKlbBtSnd8o1g1XrqxRmLQPXD34U2ofPBfAQBpd4wX7r76D78Xxh/LCn/uDPaj89OF8ROPWoXxQEenuKEo7oHH9fhqnId7A+K/d0VUhWKxWOD1egEAXq8XOTk5kTRDRERRiOgKvLi4GHV1daioqEBdXR1KSkqM7hcN0vvY/cL4/CxjVsY5tO8+YfyOKyNo5R1F61pmmF/5r185pWq1w6hBc56YlNB267fFVShfy+jWaEn8bVJr5Z33qmcI47m+RnHzsv/+dfY/bAKvqanB8ePH0d3djZUrV2LJkiWoqKhAdXU19u/fHyojJCKi+AqbwNesWSOMr1+/3vDOEBHR8PFJTCIiSTGBExFJigmciEhSXJEniZgn3imM/7DmF4a0/3jLPGF84s//Kowb/0hEEtM7h4beFXYkZ7p13MBGenpo+6lFe4X7Z5nE1SZa3rx4uzCe98ezwrg/EON1oW48vvGqMuKKPEREIwMTOBGRpJjAiYgkxQRORCQpJnAiIkmxCiWZpMf2cJy7aBHGv/LxyZh+rtSSrdokilkTh+XGlXe+cGHWV0Ov/dnpoe3FOb/UaEi8QpfWijmbf/P3wvjEjg/FzQdjXIWil1HHRef+vAInIpIUEzgRkaSYwImIJMUETkQkKSZwIiJJsQolAcwaS9B9a/d+YfxvMsSrlWjZ1lUkjOf9R6audugmbqwWiNdKMHrnZtG5/5CVdwa5tsg70KQ1ENouTNN3Tp0PXBbG7/yNOB68qnHuGzRe2Vfw4RU4EZGkmMCJiCTFBE5EJCkmcCIiSTGBExFJKmwVytatW9HY2AiLxQKXywUAqK2txb59+5DzRTXF0qVLMX369Nj2NJVkZgjDS7LbDGn+7b+Kj0Xm4WOGtE9JyKBqCsUirpB6adKe0OtxGU+EttMV8dwpWv7t068L42kfiVfeCRg150m0c5KEe79R1Sw6594Jm8Bnz56Nxx57DG63e0h8/vz5WLhwob7OERGRYcLeQpkyZQqys8UzixERUeIoqhr+2r+trQ2vvfbakFsodXV1yMzMRFFREZYvX66Z5D0eDzweDwDA6XTi5JFWAEDhZDvOnvjEqHEkvSHj1Zg2duLki4Z81sk+qzBuOnnFkPaHYyQd35Qaq8a5mXfPwIM2llF3wHf1DADAZta39PWZq7cI49dOabzBn/hpY5Ph+N5dPEEYjyiBd3V1he5/v/XWW/B6vVi1atWwOjLX9DgAwF3vROWMqmG9JxUMHq+5YKxwn980/t6Qzyr/y2JhPPOxM+I3xOBpNOmOr955vwf9zqQbK6A5XvPYfGF8+YGG0OtHx7+JPee+DQD45i1e4f5anjo7Sxj//OvifzgCXn3tx0Jcj6/GcdkbqBXGI6pCyc3NhclkgslkQnl5OVpbWyNphoiIohDRXCherxdWa//X9Pr6eowfP97QTqU6Nd9mSDvtgV5h/JMTBcL4RPW0IZ87oiTbXBkxntMjeJv4CvyRrL+GXueYrg7aHiPcX2vlncP/M1UYv727fvidTEZGzc2iU9gEXlNTg+PHj6O7uxsrV67EkiVL0NTUhDNnzkBRFOTn5+PZZ581pDNERDR8YRP4mjVrvhR75JFHYtIZIiIaPj6JSUQkKSZwIiJJMYETEUmKK/IkQOsy8YM2el3W+AP3Xb/sEcaTrJ4iuchebaK3qkERX7u13y+eCyXPNLDyjhmmIdsiZ/3iFXbu+HWnMB4MGPTAjkHVHTE/Hww6jrwCJyKSFBM4EZGkmMCJiCTFBE5EJCkmcCIiSbEKJQH8Y8TzROj1ynnx6iY4+pEh7RNiPveIYXRWNSga08Z2PGBMNcjaM/8g/kGLeOUd3b9Po6pNjGLU+aCzHV6BExFJigmciEhSTOBERJJiAicikhQTOBGRpFiFkgBK7lVD2vngbfHqJl/1HzKkfULyVZsYxJSZIYx/veSYMG4eNHeKogxsa6280/SnImG8qE9j5R2jqn1ivAKOYQwaL6/AiYgkxQRORCQpJnAiIkkxgRMRSYoJnIhIUmGrUNrb2+F2u9HV1QVFUeBwODBv3jz09PSguroaFy5cQH5+PtauXYvs7Ox49FkapoxBf+k3KaHtl4r3GNK+uc+QZgjQX6WQqBVbDKJkiKtQKqz6KpguBsUn4YRfaawKpVG1krBqn2SrMtJ5HoZN4GazGU8++SSKiorQ29uLqqoqTJs2De+++y6mTp2KiooK7N69G7t378ayZcsi7jcREekT9haK1WpFUVF/TWdmZibsdjs6OzvR0NCAsrIyAEBZWRkaGhpi21MiIhpC14M8bW1tOH36NCZOnAifzwertX9x3tzcXPh8PuF7PB4PPB4PAMDpdMJd7wQAFE62h16nLNPA16HCe+x4/eAPAQC5t4sf5Ek3XdPV/H+9OFbczrcX6monFkbE8f2ClGNNTxeGC+wrhXHFNOhWg3kClLxfAwAsGrdEfrIjX/y5l3qH38ckkczHd9gJvK+vDy6XCytWrEBWVtaQnymKAkXj3o3D4YDD4QhtV86oAgC4652h16lq8D3w1w/+EKtnbgAAfOND8ZzIT+Wc09X+E5tXC+Nj3Yl/ElO64xvFPfCkHqvGuNIKxP/4f/fgfmH8b7MGLi6UvF9D7VgEAPAFxKvPP7fin4Vx9chfxP00aj5wvU9iDuNzY3J8dZ5vewO1wviwqlD8fj9cLhdmzZqF0tJSAIDFYoHX6wUAeL1e5OTk6OoQERFFJ+wVuKqq2LZtG+x2OxYsWBCKFxcXo66uDhUVFairq0NJSUlMOyoj01cLBjbS00Pb00a/p6udK6r41srYhu6I+0bDFOuVYhJVBTF6lDB8/+gujTeMEUbr+sRX8qZT4m+ZgQStXJN0DJqzJWwCb25uxoEDB1BYWIgXX3wRALB06VJUVFSguroa+/fvD5UREhFR/IRN4JMmTUJtrfj+y/r16w3vEBERDQ+fxCQikhQTOBGRpJjAiYgkxRV5Ysh/+uOBjStXQ9uf+K3C/R8Y7RXGZxz+jjA+vv7P0XWQIndjtUC46oEkm+tDTRf/r38pKN4/YBp4YMesDqzEs+7oN4T7F148rqeXsZdsVStckYeIaGRjAicikhQTOBGRpJjAiYgkxQRORCQpVqHEkHnyXQMbGaND2xPS3xfu/8de8YpGX9mZJYxTHAy3WuD6tt65UBKlQzznyZ+viuc2ucV0IfTaiiC8wS+mhf3zLYZ3bUQwqCqGV+BERJJiAicikhQTOBGRpJjAiYgkxQRORCQpVqHEUODEqYGNviuh7W/sEa9lefLvfiqMu87LtxDsiJVsc25oUHvF59R39y0Txp95+EDo9XdsWfiF9wEAwJ2/6hDuH4iyfwmnNdeNQSvpGNUOr8CJiCTFBE5EJCkmcCIiSTGBExFJigmciEhSYatQ2tvb4Xa70dXVBUVR4HA4MG/ePNTW1mLfvn3IyckBACxduhTTp0+PeYdTwd0r64XxBSsf0HgHV96hLxi0kkvwyhVh/J7nGoXx90bZQq+/eSAN732tfzvYe1LX50rPoN+/Jp3thE3gZrMZTz75JIqKitDb24uqqipMmzYNADB//nwsXLgwso4SEVFUwiZwq9UKq7V/DcfMzEzY7XZ0dnbGvGNERHRziqoO/5q9ra0NGzZsgMvlwm9/+1vU1dUhMzMTRUVFWL58ObKzvzwdqsfjgcfjAQA4nU6cPNIKACicbMfZE58YNIzkx/GmrpQaq9YtgkHxwntuxdnmT/s3gkHx/ikkGY7v3cUThPFhJ/C+vj5s2LABixYtQmlpKbq6ukL3v9966y14vV6sWrUqbDtzTY8DANz1TlTOqBpu/6XH8Sa5KJ6ki+tYjboHq9GOYjaL46NGhV6/fmAjVn9tIwAgqPFEpyZJnlQd/Ptxv/8qKkvX3Xz/GI9rb/BtYXxYVSh+vx8ulwuzZs1CaWkpACA3Nxcmkwkmkwnl5eVobW01rrdERBRW2Hvgqqpi27ZtsNvtWLBgQSju9XpD98br6+sxfvz42PWSKNaMmuNCS6yrFwz6XDUgnsVkyNwpweDAlbcsV9RaYr2Ckt7jrrM/YRN4c3MzDhw4gMLCQrz44osA+ksG33vvPZw5cwaKoiA/Px/PPvusrg8mIqLohE3gkyZNQm1t7ZfirPkmIkosPolJRCQpJnAiIkkxgRMRSYor8hAB0VcLhFuxRe/nxlqMqyN0f65esvyeY1ylwytwIiJJMYETEUmKCZyISFJM4EREkmICJyKSlK7pZImIKHkk7Aq8qkqiqUYNwPGmrpE0VoDjTSa8hUJEJCkmcCIiSZk3bty4MVEfXlRUlKiPTgiON3WNpLECHG+y4B8xiYgkxVsoRESSYgInIpJU3GcjPHr0KLZv345gMIjy8nJUVFTEuwsxt3XrVjQ2NsJiscDlcgEAenp6UF1djQsXLiA/Px9r165FdnZ2gnsavfb2drjdbnR1dUFRFDgcDsybNy9lx3v16lVs2LABfr8fgUAADz74IJYsWYK2tjbU1NSgu7sbRUVFWL16NdLSUmOyz2AwiKqqKthsNlRVVaX0WCsrK5GRkQGTyQSz2Qyn05nc57IaR4FAQH3uuefUzz77TL127Zr6ve99Tz137lw8uxAXTU1Namtrq/rCCy+EYjt37lR37dqlqqqq7tq1S925c2eiumeozs5OtbW1VVVVVb18+bL6/PPPq+fOnUvZ8QaDQbW3t1dVVVW9du2aum7dOrW5uVl1uVzqwYMHVVVV1Z/97Gfqnj17EtlNQ73zzjtqTU2N+uqrr6qqqqb0WFetWqX6fL4hsWQ+l+N6C6WlpQXjxo1DQUEB0tLS8PDDD6OhoSGeXYiLKVOmfOlf6IaGBpSVlQEAysrKUmbcVqs19Bf6zMxM2O12dHZ2pux4FUVBRkYGACAQCCAQCEBRFDQ1NeHBBx8EAMyePTtlxtvR0YHGxkaUl5cDAFRVTdmxaknmczmu33s6OzuRl5cX2s7Ly8OpU6fi2YWE8fl8sFqtAIDc3Fz4fL4E98h4bW1tOH36NCZOnJjS4w0Gg3jppZfw2Wef4dFHH0VBQQGysrJgNpsBADabDZ2dnQnupTF27NiBZcuWobe3FwDQ3d2dsmO9btOmTQCAuXPnwuFwJPW5nBo3riSjKAqURK0QEiN9fX1wuVxYsWIFsrKyhvws1cZrMpmwefNmXLp0CVu2bMGnn36a6C7FxAcffACLxYKioiI0NTUlujtx8fLLL8Nms8Hn8+GVV17BrbfeOuTnyXYuxzWB22w2dHR0hLY7Ojpgs9ni2YWEsVgs8Hq9sFqt8Hq9yMnJSXSXDOP3++FyuTBr1iyUlpYCSO3xXjdmzBjce++9OHnyJC5fvoxAIACz2YzOzs6UOK+bm5tx5MgRfPjhh7h69Sp6e3uxY8eOlBzrddfHYrFYUFJSgpaWlqQ+l+N6D3zChAk4f/482tra4Pf7cejQIRQXF8ezCwlTXFyMuro6AEBdXR1KSkoS3CNjqKqKbdu2wW63Y8GCBaF4qo734sWLuHTpEoD+ipRjx47Bbrfj3nvvxeHDhwEA7777bkqc10888QS2bdsGt9uNNWvW4L777sPzzz+fkmMF+r9FXr9V1NfXh2PHjqGwsDCpz+W4P4nZ2NiIN998E8FgEHPmzMGiRYvi+fFxUVNTg+PHj6O7uxsWiwVLlixBSUkJqqur0d7ennylSFH46KOPsH79ehQWFoa+Wi5duhR33XVXSo73448/htvtRjAYhKqqeOihh7B48WJ8/vnnqKmpQU9PD+68806sXr0a6enpie6uYZqamvDOO++gqqoqZcf6+eefY8uWLQD6/0A9c+ZMLFq0CN3d3Ul7LvNReiIiSfFJTCIiSTGBExFJigmciEhSTOBERJJiAicikhQTOBGRpJjAiYgk9f/dhczKwvzpjAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6n4ukYiac-NO"
      },
      "source": [
        "# 이상 탐지\n",
        "\n",
        "학습된 AutoEncoder는 1 영상(정상 영상)의 경우 잘 복원한다. 그러나 그렇지 않은 경우 잘 복원하지 못한다.\n",
        "\n",
        "\n",
        "1의 영상은 정상이고, 3의 영상은 비정상이다.\n",
        "\n",
        "또한 1이외의 정상 역시 비정상이다.\n",
        "\n",
        "<br>\n",
        "\n",
        "AutoEncoder를 사용하여 인코딩과 디코딩을 통해 복원하고, 복원된 것이 원본과 차이가 날 수록 비정상인것으로 판단한다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UwrSYCaeeV5F"
      },
      "source": [
        "## 복원 실행"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nV33Rrfmb-7B"
      },
      "source": [
        "reconstructed = autoencoder.predict(testX)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GoMlrzuleSBy"
      },
      "source": [
        "## 차이 계산"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XCNquo29eENO"
      },
      "source": [
        "errors = []\n",
        "\n",
        "for (image, recon) in zip(testX, reconstructed):\n",
        "\t# compute the mean squared error between the ground-truth image\n",
        "\t# and the reconstructed image, then add it to our list of errors\n",
        "\tmse = np.mean((image - recon) ** 2)\n",
        "\terrors.append(mse)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rTqYVoslfOwG",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "36cabdca-3aee-4abc-87a2-836722ca3616"
      },
      "source": [
        "plt.hist(errors, bins=100)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WPu6nJymgbpH"
      },
      "source": [
        "데이터의 1/101이 비정상 데이터이다.\n",
        "\n",
        "quantile 0.99 이상이 되는 threshold를 구하자."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a4VTtzvWgjAO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "060e90ed-7ce7-4c4d-c820-4d2eb34ef6b3"
      },
      "source": [
        "threshold = np.quantile(errors, 0.99)\n",
        "print(threshold)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.02401319904252892\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3mDPeyCaeNwh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "bd7f15e9-6daf-43ed-cb7d-8a41709d8290"
      },
      "source": [
        "anomaly_idxs = np.where(np.array(errors) >= threshold)[0]\n",
        "print(len(anomaly_idxs))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "14\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QOIJB5Hhfmch",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "5ffa36eb-8654-494c-d9e9-a7ba65f952ae"
      },
      "source": [
        "for i in anomaly_idxs:\n",
        "  combined = np.hstack([testX[i], reconstructed[i]])\n",
        "  plt.imshow(combined.squeeze())\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uDBaE9WmhQT-"
      },
      "source": [
        "비정상 영상인 3자와, 정말 이상하게 생긴 1자를 잘 찾아 냈다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "26vCbK2x19Rm"
      },
      "source": [
        "# 1과 3 이외의 입력"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GQTRbMYo0_97"
      },
      "source": [
        "((trainX, trainY), (testX, testY)) = mnist.load_data()"
      ],
      "execution_count": 26,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d1e4qmoif2B4"
      },
      "source": [
        "testX = np.expand_dims(testX, axis=-1)\n",
        "testX = testX.astype(\"float32\") / 255.0"
      ],
      "execution_count": 27,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ti2x-aH_1YUP",
        "outputId": "44cf4598-c5db-40d8-9cb4-ce796685fcf4",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "print(testX.shape)\n",
        "print(reconstructed.shape)"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(10000, 28, 28, 1)\n",
            "(10000, 28, 28, 1)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3l5jaLio0fqo",
        "outputId": "3fccf75b-ffcf-46fe-e505-64eb5878f4a4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "reconstructed = autoencoder.predict(testX)\n",
        "\n",
        "for i in range(30):\n",
        "  combined = np.hstack([testX[i], reconstructed[i]])\n",
        "  plt.imshow(combined.squeeze())\n",
        "  plt.show()\n",
        "\n"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AEkUBB4BEUcABIFEUcABIlHkD50owsz2StmdPPyRpb8MOXj3G27om0lglxluF49396EODDS3g7zuwWa+791Ry8Aow3tY1kcYqMd5mwi0UAEgUBRwAElVlAV9R4bGrwHhb10Qaq8R4m0Zl98ABAPXhFgoAJIoCDgCJangBN7OlZrbVzF41s+sbffxGMLNVZtZnZi+OiM00s3Vm9kr29agqcyyKmXWZ2QYze9nMXjKzr2bxVh1vp5n93Mz+MxvvX2TxBWb2VHZe329mk6vOtShm1m5mz5rZP2fPW3ms28zsBTN7zsx6s1jTnssNLeBm1i7pu5I+LWmxautqLm5kDg1yp6Slh8Sul7Te3RdKWp89bwWDkq5z98WSzpD0lex32qrjHZB0nrt/TFK3pKVmdoakv5Z0q7ufIGmfpCsrzLFoX5W0ecTzVh6rJJ3r7t0jer+b9lxu9BX4Ekmvuvtr7v6upPskXdTgHErn7hslvXlI+CJJq7PHqyVd3NCkSuLuu9z9mexxv2p/0eeqdcfr7n4ge9qR/XFJ50n6URZvmfGa2TxJn5X0/ey5qUXH+gGa9lxudAGfK+n1Ec93ZLGJYLa778oevyFpdpXJlMHM5ks6VdJTauHxZrcUnpPUJ2mdpP+S9Ja7D2abtNJ5/R1Jf6bfrpQwS607Vqn2j/GPzWyTmS3PYk17LrMiTwXc3c2spfo3zWyGpAclXevu+23ESiqtNl53H5LUbWZHSnpY0kcrTqkUZrZMUp+7bzKzc6rOp0HOcvedZnaMpHVmtmXkN5vtXG70FfhOSV0jns/LYhPBbjObI0nZ176K8ymMmXWoVrzvdveHsnDLjvc97v6WpA2SPiHpSDN774KoVc7rMyV93sy2qXa78zxJt6k1xypJcved2dc+1f5xXqImPpcbXcCflrQwexd7sqTLJK1tcA5VWSvpiuzxFZLWVJhLYbJ7oislbXb3W0Z8q1XHe3R25S0zmyrpAtXu+2+Q9IVss5YYr7v/ubvPc/f5qv1d/Xd3/0O14Fglycymm9lh7z2WdKGkF9XE53LDP4lpZp9R7b5au6RV7v7NhibQAGZ2r6RzVJuGcrekr0t6RNIDko5TbUrdS9390Dc6k2NmZ0l6XNIL+u190htUuw/eiuM9RbU3stpVuwB6wN1vNLMPq3aVOlPSs5L+yN0Hqsu0WNktlD9192WtOtZsXA9nTydJusfdv2lms9Sk5zIfpQeARPFJTABIFAUcABJFAQeARFHAASBRFHAASBQFHAASRQEHgET9L7LiNewkfdAxAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Tnl_vUzK1Bas"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}