Autoencoders_task.ipynb

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      "name": "Autoencoders-task.ipynb",
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      "source": [
        "<a href=\"https://colab.research.google.com/github/GaborBakos/deep_learning/blob/main/Autoencoders_task.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 919
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      },
      "source": [
        "# set tf 1.x for colab\n",
        "!pip install tensorflow==1.15"
      ],
      "execution_count": 1,
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            "Collecting tensorflow==1.15\n",
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            "\u001b[31mERROR: tensorflow-probability 0.11.0 has requirement gast>=0.3.2, but you'll have gast 0.2.2 which is incompatible.\u001b[0m\n",
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            "  Found existing installation: tensorflow 2.3.0\n",
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            "Successfully installed gast-0.2.2 keras-applications-1.0.8 tensorboard-1.15.0 tensorflow-1.15.0 tensorflow-estimator-1.15.1\n"
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    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bXD0YakkPQ-T"
      },
      "source": [
        "# Denoising Autoencoders And Where To Find Them\n",
        "\n",
        "Today we're going to train deep autoencoders and apply them to faces and similar images search.\n",
        "\n",
        "Our new test subjects are human faces from the [lfw dataset](http://vis-www.cs.umass.edu/lfw/)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BN9d9nJyPQ-U"
      },
      "source": [
        "# Import stuff"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "icxMZotWPlx9",
        "outputId": "a2760812-6983-4725-95e7-7912905dd0cc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        }
      },
      "source": [
        "! shred -u setup_google_colab.py\n",
        "! wget https://raw.githubusercontent.com/hse-aml/intro-to-dl/master/setup_google_colab.py -O setup_google_colab.py\n",
        "import setup_google_colab\n",
        "# please, uncomment the week you're working on\n",
        "# setup_google_colab.setup_week1()\n",
        "# setup_google_colab.setup_week2()\n",
        "# setup_google_colab.setup_week2_honor()\n",
        "# setup_google_colab.setup_week3()\n",
        "setup_google_colab.setup_week4()\n",
        "# setup_google_colab.setup_week5()\n",
        "# setup_google_colab.setup_week6()"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "--2020-10-12 10:07:29--  https://raw.githubusercontent.com/hse-aml/intro-to-dl/master/setup_google_colab.py\n",
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            "Length: 3636 (3.6K) [text/plain]\n",
            "Saving to: ‘setup_google_colab.py’\n",
            "\n",
            "\rsetup_google_colab.   0%[                    ]       0  --.-KB/s               \rsetup_google_colab. 100%[===================>]   3.55K  --.-KB/s    in 0s      \n",
            "\n",
            "2020-10-12 10:07:29 (67.9 MB/s) - ‘setup_google_colab.py’ saved [3636/3636]\n",
            "\n",
            "**************************************************\n",
            "lfw-deepfunneled.tgz\n",
            "**************************************************\n",
            "lfw.tgz\n",
            "**************************************************\n",
            "lfw_attributes.txt\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:38:45.815533Z",
          "start_time": "2018-01-04T16:38:45.767828Z"
        },
        "id": "xBg1CWrLPQ-U"
      },
      "source": [
        "import sys\n",
        "sys.path.append(\"..\")\n",
        "import grading"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:38:56.825485Z",
          "start_time": "2018-01-04T16:38:46.131894Z"
        },
        "id": "V-cSeTSOPQ-X",
        "outputId": "d5746739-76b1-4ed5-8ae0-e8e34e24fba5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        }
      },
      "source": [
        "import tensorflow as tf\n",
        "import keras, keras.layers as L, keras.backend as K\n",
        "import numpy as np\n",
        "from sklearn.model_selection import train_test_split\n",
        "from lfw_dataset import load_lfw_dataset\n",
        "%matplotlib inline\n",
        "import matplotlib.pyplot as plt\n",
        "import download_utils\n",
        "import keras_utils\n",
        "import numpy as np\n",
        "from keras_utils import reset_tf_session"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Using TensorFlow backend.\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:38:56.830804Z",
          "start_time": "2018-01-04T16:38:56.827147Z"
        },
        "id": "F_If8LHDPQ-a"
      },
      "source": [
        "# !!! remember to clear session/graph if you rebuild your graph to avoid out-of-memory errors !!!"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "08NJDlTKPQ-c"
      },
      "source": [
        "# Load dataset\n",
        "Dataset was downloaded for you. Relevant links (just in case):\n",
        "- http://www.cs.columbia.edu/CAVE/databases/pubfig/download/lfw_attributes.txt\n",
        "- http://vis-www.cs.umass.edu/lfw/lfw-deepfunneled.tgz\n",
        "- http://vis-www.cs.umass.edu/lfw/lfw.tgz"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:38:56.917476Z",
          "start_time": "2018-01-04T16:38:56.832132Z"
        },
        "id": "sXvFzrUnPQ-d"
      },
      "source": [
        "# we downloaded them for you, just link them here\n",
        "download_utils.link_week_4_resources()"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:39:21.680162Z",
          "start_time": "2018-01-04T16:39:01.554782Z"
        },
        "id": "z8UXShW9PQ-f",
        "outputId": "fedd2518-1925-4a88-a9c7-9ccc50093d92",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# load images\n",
        "X, attr = load_lfw_dataset(use_raw=True, dimx=32, dimy=32)\n",
        "IMG_SHAPE = X.shape[1:]\n",
        "\n",
        "# center images\n",
        "X = X.astype('float32') / 255.0 - 0.5\n",
        "\n",
        "# split\n",
        "X_train, X_test = train_test_split(X, test_size=0.1, random_state=42)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "**************************************************\n",
            "\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:39:36.649891Z",
          "start_time": "2018-01-04T16:39:36.646605Z"
        },
        "id": "PGPz7eYzPQ-i"
      },
      "source": [
        "def show_image(x):\n",
        "    plt.imshow(np.clip(x + 0.5, 0, 1))"
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:39:39.028360Z",
          "start_time": "2018-01-04T16:39:38.258425Z"
        },
        "id": "Adp6GyWpPQ-k",
        "outputId": "fe227073-e256-4142-ca76-cade4e014a9c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        }
      },
      "source": [
        "plt.title('sample images')\n",
        "\n",
        "for i in range(6):\n",
        "    plt.subplot(2,3,i+1)\n",
        "    show_image(X[i])\n",
        "\n",
        "print(\"X shape:\", X.shape)\n",
        "print(\"attr shape:\", attr.shape)\n",
        "\n",
        "# try to free memory\n",
        "del X\n",
        "import gc\n",
        "gc.collect()"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "X shape: (13143, 32, 32, 3)\n",
            "attr shape: (13143, 73)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
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          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7HbSSp97PQ-n"
      },
      "source": [
        "# Autoencoder architecture\n",
        "\n",
        "Let's design autoencoder as two sequential keras models: the encoder and decoder respectively.\n",
        "\n",
        "We will then use symbolic API to apply and train these models.\n",
        "\n",
        "<img src=\"https://github.com/hse-aml/intro-to-dl/blob/master/week4/images/autoencoder.png?raw=1\" style=\"width:50%\">"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cCt03zWoPQ-n"
      },
      "source": [
        "# First step: PCA\n",
        "\n",
        "Principial Component Analysis is a popular dimensionality reduction method. \n",
        "\n",
        "Under the hood, PCA attempts to decompose object-feature matrix $X$ into two smaller matrices: $W$ and $\\hat W$ minimizing _mean squared error_:\n",
        "\n",
        "$$\\|(X W) \\hat{W} - X\\|^2_2 \\to_{W, \\hat{W}} \\min$$\n",
        "- $X \\in \\mathbb{R}^{n \\times m}$ - object matrix (**centered**);\n",
        "- $W \\in \\mathbb{R}^{m \\times d}$ - matrix of direct transformation;\n",
        "- $\\hat{W} \\in \\mathbb{R}^{d \\times m}$ - matrix of reverse transformation;\n",
        "- $n$ samples, $m$ original dimensions and $d$ target dimensions;\n",
        "\n",
        "In geometric terms, we want to find d axes along which most of variance occurs. The \"natural\" axes, if you wish.\n",
        "\n",
        "<img src=\"https://github.com/hse-aml/intro-to-dl/blob/master/week4/images/pca.png?raw=1\" style=\"width:30%\">\n",
        "\n",
        "\n",
        "PCA can also be seen as a special case of an autoencoder.\n",
        "\n",
        "* __Encoder__: X -> Dense(d units) -> code\n",
        "* __Decoder__: code -> Dense(m units) -> X\n",
        "\n",
        "Where Dense is a fully-connected layer with linear activaton:   $f(X) = W \\cdot X + \\vec b $\n",
        "\n",
        "\n",
        "Note: the bias term in those layers is responsible for \"centering\" the matrix i.e. substracting mean."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:39:42.058684Z",
          "start_time": "2018-01-04T16:39:42.046303Z"
        },
        "id": "t4pusiM5PQ-o"
      },
      "source": [
        "def build_pca_autoencoder(img_shape, code_size):\n",
        "    \"\"\"\n",
        "    Here we define a simple linear autoencoder as described above.\n",
        "    We also flatten and un-flatten data to be compatible with image shapes\n",
        "    \"\"\"\n",
        "    \n",
        "    encoder = keras.models.Sequential()\n",
        "    encoder.add(L.InputLayer(img_shape))\n",
        "    encoder.add(L.Flatten())                  #flatten image to vector\n",
        "    encoder.add(L.Dense(code_size))           #actual encoder\n",
        "\n",
        "    decoder = keras.models.Sequential()\n",
        "    decoder.add(L.InputLayer((code_size,)))\n",
        "    decoder.add(L.Dense(np.prod(img_shape)))  #actual decoder, height*width*3 units\n",
        "    decoder.add(L.Reshape(img_shape))         #un-flatten\n",
        "    \n",
        "    return encoder,decoder"
      ],
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rNkoNUo2PQ-q"
      },
      "source": [
        "Meld them together into one model:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:41:04.366409Z",
          "start_time": "2018-01-04T16:40:45.919042Z"
        },
        "scrolled": true,
        "id": "bk9s-HxtPQ-r",
        "outputId": "0f0fdaad-c0cc-4405-c7c6-932728383d4a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1649
        }
      },
      "source": [
        "s = reset_tf_session()\n",
        "\n",
        "encoder, decoder = build_pca_autoencoder(IMG_SHAPE, code_size=32)\n",
        "\n",
        "inp = L.Input(IMG_SHAPE)\n",
        "code = encoder(inp)\n",
        "reconstruction = decoder(code)\n",
        "\n",
        "autoencoder = keras.models.Model(inputs=inp, outputs=reconstruction)\n",
        "autoencoder.compile(optimizer='adamax', loss='mse')\n",
        "\n",
        "autoencoder.fit(x=X_train, y=X_train, epochs=15,\n",
        "                validation_data=[X_test, X_test],\n",
        "                callbacks=[keras_utils.TqdmProgressCallback()],\n",
        "                verbose=0)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "WARNING:tensorflow:From /content/keras_utils.py:68: The name tf.get_default_session is deprecated. Please use tf.compat.v1.get_default_session instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:79: The name tf.reset_default_graph is deprecated. Please use tf.compat.v1.reset_default_graph instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:82: The name tf.placeholder is deprecated. Please use tf.compat.v1.placeholder instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:84: The name tf.get_default_graph is deprecated. Please use tf.compat.v1.get_default_graph instead.\n",
            "\n",
            "WARNING:tensorflow:From /content/keras_utils.py:75: The name tf.ConfigProto is deprecated. Please use tf.compat.v1.ConfigProto instead.\n",
            "\n",
            "WARNING:tensorflow:From /content/keras_utils.py:77: The name tf.InteractiveSession is deprecated. Please use tf.compat.v1.InteractiveSession instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:1210: calling reduce_prod_v1 (from tensorflow.python.ops.math_ops) with keep_dims is deprecated and will be removed in a future version.\n",
            "Instructions for updating:\n",
            "keep_dims is deprecated, use keepdims instead\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:3535: The name tf.random_uniform is deprecated. Please use tf.random.uniform instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/optimizers.py:697: The name tf.train.Optimizer is deprecated. Please use tf.compat.v1.train.Optimizer instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:2289: The name tf.Session is deprecated. Please use tf.compat.v1.Session instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:879: The name tf.assign_add is deprecated. Please use tf.compat.v1.assign_add instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:602: calling Constant.__init__ (from tensorflow.python.ops.init_ops) with dtype is deprecated and will be removed in a future version.\n",
            "Instructions for updating:\n",
            "Call initializer instance with the dtype argument instead of passing it to the constructor\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:866: The name tf.assign is deprecated. Please use tf.compat.v1.assign instead.\n",
            "\n",
            "\n",
            "Epoch 1/15\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:333: The name tf.global_variables is deprecated. Please use tf.compat.v1.global_variables instead.\n",
            "\n",
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/keras/backend/tensorflow_backend.py:341: The name tf.variables_initializer is deprecated. Please use tf.compat.v1.variables_initializer instead.\n",
            "\n",
            "**************************************************\n",
            "loss: 0.0123; val_loss: 0.0086\n",
            "\n",
            "Epoch 2/15\n",
            "**************************************************\n",
            "loss: 0.0076; val_loss: 0.0070\n",
            "\n",
            "Epoch 3/15\n",
            "**************************************************\n",
            "loss: 0.0069; val_loss: 0.0067\n",
            "\n",
            "Epoch 4/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0067\n",
            "\n",
            "Epoch 5/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 6/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 7/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0068\n",
            "\n",
            "Epoch 8/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0067\n",
            "\n",
            "Epoch 9/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 10/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 11/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 12/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 13/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0067\n",
            "\n",
            "Epoch 14/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0067\n",
            "\n",
            "Epoch 15/15\n",
            "**************************************************\n",
            "loss: 0.0067; val_loss: 0.0066\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7f29790b0518>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:41:11.747674Z",
          "start_time": "2018-01-04T16:41:11.730725Z"
        },
        "id": "v5spLAPRPQ-t"
      },
      "source": [
        "def visualize(img,encoder,decoder):\n",
        "    \"\"\"Draws original, encoded and decoded images\"\"\"\n",
        "    code = encoder.predict(img[None])[0]  # img[None] is the same as img[np.newaxis, :]\n",
        "    reco = decoder.predict(code[None])[0]\n",
        "\n",
        "    plt.subplot(1,3,1)\n",
        "    plt.title(\"Original\")\n",
        "    show_image(img)\n",
        "\n",
        "    plt.subplot(1,3,2)\n",
        "    plt.title(\"Code\")\n",
        "    plt.imshow(code.reshape([code.shape[-1]//2,-1]))\n",
        "\n",
        "    plt.subplot(1,3,3)\n",
        "    plt.title(\"Reconstructed\")\n",
        "    show_image(reco)\n",
        "    plt.show()\n"
      ],
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:41:18.700138Z",
          "start_time": "2018-01-04T16:41:17.026047Z"
        },
        "scrolled": true,
        "id": "pjrg-kjQPQ-w",
        "outputId": "d92d34ea-6946-46f8-84c8-f91e3e7a5d54",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1355
        }
      },
      "source": [
        "score = autoencoder.evaluate(X_test,X_test,verbose=0)\n",
        "print(\"PCA MSE:\", score)\n",
        "\n",
        "for i in range(5):\n",
        "    img = X_test[i]\n",
        "    visualize(img,encoder,decoder)"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "PCA MSE: 0.0065867791600355404\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2WmIb_cTPQ-y"
      },
      "source": [
        "# Going deeper: convolutional autoencoder\n",
        "\n",
        "PCA is neat but surely we can do better. This time we want you to build a deep convolutional autoencoder by... stacking more layers.\n",
        "\n",
        "## Encoder\n",
        "\n",
        "The **encoder** part is pretty standard, we stack convolutional and pooling layers and finish with a dense layer to get the representation of desirable size (`code_size`).\n",
        "\n",
        "We recommend to use `activation='elu'` for all convolutional and dense layers.\n",
        "\n",
        "We recommend to repeat (conv, pool) 4 times with kernel size (3, 3), `padding='same'` and the following numbers of output channels: `32, 64, 128, 256`.\n",
        "\n",
        "Remember to flatten (`L.Flatten()`) output before adding the last dense layer!\n",
        "\n",
        "## Decoder\n",
        "\n",
        "For **decoder** we will use so-called \"transpose convolution\". \n",
        "\n",
        "Traditional convolutional layer takes a patch of an image and produces a number (patch -> number). In \"transpose convolution\" we want to take a number and produce a patch of an image (number -> patch). We need this layer to \"undo\" convolutions in encoder. We had a glimpse of it during week 3 (watch [this video](https://www.coursera.org/learn/intro-to-deep-learning/lecture/auRqf/a-glimpse-of-other-computer-vision-tasks) starting at 5:41).\n",
        "\n",
        "Here's how \"transpose convolution\" works:\n",
        "<img src=\"https://github.com/hse-aml/intro-to-dl/blob/master/week4/images/transpose_conv.jpg?raw=1\" style=\"width:60%\">\n",
        "In this example we use a stride of 2 to produce 4x4 output, this way we \"undo\" pooling as well. Another way to think about it: we \"undo\" convolution with stride 2 (which is similar to conv + pool).\n",
        "\n",
        "You can add \"transpose convolution\" layer in Keras like this:\n",
        "```python\n",
        "L.Conv2DTranspose(filters=?, kernel_size=(3, 3), strides=2, activation='elu', padding='same')\n",
        "```\n",
        "\n",
        "Our decoder starts with a dense layer to \"undo\" the last layer of encoder. Remember to reshape its output to \"undo\" `L.Flatten()` in encoder.\n",
        "\n",
        "Now we're ready to undo (conv, pool) pairs. For this we need to stack 4 `L.Conv2DTranspose` layers with the following numbers of output channels: `128, 64, 32, 3`. Each of these layers will learn to \"undo\" (conv, pool) pair in encoder. For the last `L.Conv2DTranspose` layer use `activation=None` because that is our final image."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:43:33.562406Z",
          "start_time": "2018-01-04T16:43:33.426581Z"
        },
        "scrolled": true,
        "id": "G3gY6HJqPQ-z"
      },
      "source": [
        "# Let's play around with transpose convolution on examples first\n",
        "def test_conv2d_transpose(img_size, filter_size):\n",
        "    print(\"Transpose convolution test for img_size={}, filter_size={}:\".format(img_size, filter_size))\n",
        "    \n",
        "    x = (np.arange(img_size ** 2, dtype=np.float32) + 1).reshape((1, img_size, img_size, 1))\n",
        "    f = (np.ones(filter_size ** 2, dtype=np.float32)).reshape((filter_size, filter_size, 1, 1))\n",
        "\n",
        "    s = reset_tf_session()\n",
        "    \n",
        "    conv = tf.nn.conv2d_transpose(x, f, \n",
        "                                  output_shape=(1, img_size * 2, img_size * 2, 1), \n",
        "                                  strides=[1, 2, 2, 1], \n",
        "                                  padding='SAME')\n",
        "\n",
        "    result = s.run(conv)\n",
        "    print(\"input:\")\n",
        "    print(x[0, :, :, 0])\n",
        "    print(\"filter:\")\n",
        "    print(f[:, :, 0, 0])\n",
        "    print(\"output:\")\n",
        "    print(result[0, :, :, 0])\n",
        "    s.close()\n",
        "        \n",
        "test_conv2d_transpose(img_size=2, filter_size=2)\n",
        "test_conv2d_transpose(img_size=2, filter_size=3)\n",
        "test_conv2d_transpose(img_size=4, filter_size=2)\n",
        "test_conv2d_transpose(img_size=4, filter_size=3)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:44:43.582011Z",
          "start_time": "2018-01-04T16:44:43.516283Z"
        },
        "id": "1z_-ZfNOPQ-1"
      },
      "source": [
        "def build_deep_autoencoder(img_shape, code_size):\n",
        "    \"\"\"PCA's deeper brother. See instructions above. Use `code_size` in layer definitions.\"\"\"\n",
        "    H,W,C = img_shape\n",
        "    \n",
        "    # encoder\n",
        "    encoder = keras.models.Sequential()\n",
        "    encoder.add(L.InputLayer(img_shape))\n",
        "    encoder.add(L.Conv2D(filters=32, kernel_size=(3, 3), strides=(1, 1), padding='same', activation='elu'))\n",
        "    encoder.add(L.MaxPool2D(pool_size=(2, 2), padding='same'))\n",
        "    encoder.add(L.Conv2D(filters=64, kernel_size=(3, 3), strides=(1, 1), padding='same', activation='elu'))\n",
        "    encoder.add(L.MaxPool2D(pool_size=(2, 2), padding='same'))\n",
        "    encoder.add(L.Conv2D(filters=128, kernel_size=(3, 3), strides=(1, 1), padding='same', activation='elu'))\n",
        "    encoder.add(L.MaxPool2D(pool_size=(2, 2), padding='same'))\n",
        "    encoder.add(L.Conv2D(filters=256, kernel_size=(3, 3), strides=(1, 1), padding='same', activation='elu'))\n",
        "    encoder.add(L.MaxPool2D(pool_size=(2, 2), padding='same'))\n",
        "    encoder.add(L.Flatten())\n",
        "    encoder.add(L.Dense(code_size))\n",
        "\n",
        "    # decoder\n",
        "    decoder = keras.models.Sequential()\n",
        "    decoder.add(L.InputLayer((code_size,)))\n",
        "    # decoder.add(L.Dense(np.prod(img_shape)))\n",
        "    decoder.add(L.Dense(2 * 2 * 256))\n",
        "    decoder.add(L.Reshape((2, 2, 256)))\n",
        "    # decoder.add(L.Reshape(img_shape))\n",
        "    decoder.add(L.Conv2DTranspose(filters=128, kernel_size=(3, 3), strides=2, activation='elu', padding='same'))\n",
        "    decoder.add(L.Conv2DTranspose(filters=64, kernel_size=(3, 3), strides=2, activation='elu', padding='same'))\n",
        "    decoder.add(L.Conv2DTranspose(filters=32, kernel_size=(3, 3), strides=2, activation='elu', padding='same'))\n",
        "    decoder.add(L.Conv2DTranspose(filters=3, kernel_size=(3, 3), strides=2, activation=None, padding='same'))\n",
        "\n",
        "    \n",
        "    return encoder, decoder"
      ],
      "execution_count": 30,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:44:53.805124Z",
          "start_time": "2018-01-04T16:44:52.846510Z"
        },
        "id": "VlvboPTwPQ-3",
        "outputId": "d67624e5-851e-4b2d-cf38-113bf49ab51a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 121
        }
      },
      "source": [
        "# Check autoencoder shapes along different code_sizes\n",
        "get_dim = lambda layer: np.prod(layer.output_shape[1:])\n",
        "for code_size in [1,8,32,128,512]:\n",
        "    s = reset_tf_session()\n",
        "    encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=code_size)\n",
        "    print(\"Testing code size %i\" % code_size)\n",
        "    assert encoder.output_shape[1:]==(code_size,),\"encoder must output a code of required size\"\n",
        "    assert decoder.output_shape[1:]==IMG_SHAPE,   \"decoder must output an image of valid shape\"\n",
        "    assert len(encoder.trainable_weights)>=6,     \"encoder must contain at least 3 layers\"\n",
        "    assert len(decoder.trainable_weights)>=6,     \"decoder must contain at least 3 layers\"\n",
        "    \n",
        "    for layer in encoder.layers + decoder.layers:\n",
        "        assert get_dim(layer) >= code_size, \"Encoder layer %s is smaller than bottleneck (%i units)\"%(layer.name,get_dim(layer))\n",
        "\n",
        "print(\"All tests passed!\")\n",
        "s = reset_tf_session()"
      ],
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Testing code size 1\n",
            "Testing code size 8\n",
            "Testing code size 32\n",
            "Testing code size 128\n",
            "Testing code size 512\n",
            "All tests passed!\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:45:16.966538Z",
          "start_time": "2018-01-04T16:45:16.804252Z"
        },
        "scrolled": true,
        "id": "cI7FpFYzPQ-5",
        "outputId": "a9ba3941-a3ec-46f1-a031-61ae854f17d1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 884
        }
      },
      "source": [
        "# Look at encoder and decoder shapes.\n",
        "# Total number of trainable parameters of encoder and decoder should be close.\n",
        "s = reset_tf_session()\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=32)\n",
        "encoder.summary()\n",
        "decoder.summary()"
      ],
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_1 (InputLayer)         (None, 32, 32, 3)         0         \n",
            "_________________________________________________________________\n",
            "conv2d_1 (Conv2D)            (None, 32, 32, 32)        896       \n",
            "_________________________________________________________________\n",
            "max_pooling2d_1 (MaxPooling2 (None, 16, 16, 32)        0         \n",
            "_________________________________________________________________\n",
            "conv2d_2 (Conv2D)            (None, 16, 16, 64)        18496     \n",
            "_________________________________________________________________\n",
            "max_pooling2d_2 (MaxPooling2 (None, 8, 8, 64)          0         \n",
            "_________________________________________________________________\n",
            "conv2d_3 (Conv2D)            (None, 8, 8, 128)         73856     \n",
            "_________________________________________________________________\n",
            "max_pooling2d_3 (MaxPooling2 (None, 4, 4, 128)         0         \n",
            "_________________________________________________________________\n",
            "conv2d_4 (Conv2D)            (None, 4, 4, 256)         295168    \n",
            "_________________________________________________________________\n",
            "max_pooling2d_4 (MaxPooling2 (None, 2, 2, 256)         0         \n",
            "_________________________________________________________________\n",
            "flatten_1 (Flatten)          (None, 1024)              0         \n",
            "_________________________________________________________________\n",
            "dense_1 (Dense)              (None, 32)                32800     \n",
            "=================================================================\n",
            "Total params: 421,216\n",
            "Trainable params: 421,216\n",
            "Non-trainable params: 0\n",
            "_________________________________________________________________\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "input_2 (InputLayer)         (None, 32)                0         \n",
            "_________________________________________________________________\n",
            "dense_2 (Dense)              (None, 1024)              33792     \n",
            "_________________________________________________________________\n",
            "reshape_1 (Reshape)          (None, 2, 2, 256)         0         \n",
            "_________________________________________________________________\n",
            "conv2d_transpose_1 (Conv2DTr (None, 4, 4, 128)         295040    \n",
            "_________________________________________________________________\n",
            "conv2d_transpose_2 (Conv2DTr (None, 8, 8, 64)          73792     \n",
            "_________________________________________________________________\n",
            "conv2d_transpose_3 (Conv2DTr (None, 16, 16, 32)        18464     \n",
            "_________________________________________________________________\n",
            "conv2d_transpose_4 (Conv2DTr (None, 32, 32, 3)         867       \n",
            "=================================================================\n",
            "Total params: 421,955\n",
            "Trainable params: 421,955\n",
            "Non-trainable params: 0\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zLqMQifzPQ-8"
      },
      "source": [
        "Convolutional autoencoder training. This will take **1 hour**. You're aiming at ~0.0056 validation MSE and ~0.0054 training MSE."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:48:32.365157Z",
          "start_time": "2018-01-04T16:46:03.202875Z"
        },
        "id": "0IEqn7uSPQ-8"
      },
      "source": [
        "s = reset_tf_session()\n",
        "\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=32)\n",
        "\n",
        "inp = L.Input(IMG_SHAPE)\n",
        "code = encoder(inp)\n",
        "reconstruction = decoder(code)\n",
        "\n",
        "autoencoder = keras.models.Model(inputs=inp, outputs=reconstruction)\n",
        "autoencoder.compile(optimizer=\"adamax\", loss='mse')"
      ],
      "execution_count": 33,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:48:32.365157Z",
          "start_time": "2018-01-04T16:46:03.202875Z"
        },
        "id": "0dCya7bFPQ--"
      },
      "source": [
        "# we will save model checkpoints here to continue training in case of kernel death\n",
        "model_filename = 'autoencoder.{0:03d}.hdf5'\n",
        "last_finished_epoch = None\n",
        "\n",
        "#### uncomment below to continue training from model checkpoint\n",
        "#### fill `last_finished_epoch` with your latest finished epoch\n",
        "# from keras.models import load_model\n",
        "# s = reset_tf_session()\n",
        "# last_finished_epoch = 4\n",
        "# autoencoder = load_model(model_filename.format(last_finished_epoch))\n",
        "# encoder = autoencoder.layers[1]\n",
        "# decoder = autoencoder.layers[2]"
      ],
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:48:32.365157Z",
          "start_time": "2018-01-04T16:46:03.202875Z"
        },
        "scrolled": true,
        "id": "nCv_liJSPQ_A",
        "outputId": "d38d41a4-51c7-425f-d1f4-b38d0d298c01",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "autoencoder.fit(x=X_train, y=X_train, epochs=25,\n",
        "                validation_data=[X_test, X_test],\n",
        "                callbacks=[keras_utils.ModelSaveCallback(model_filename),\n",
        "                           keras_utils.TqdmProgressCallback()],\n",
        "                verbose=0,\n",
        "                initial_epoch=last_finished_epoch or 0)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\n",
            "Epoch 1/25\n",
            "**************************************************Model saved in autoencoder.000.hdf5\n",
            "\n",
            "loss: 0.0122; val_loss: 0.0082\n",
            "\n",
            "Epoch 2/25\n",
            "**************************************************Model saved in autoencoder.001.hdf5\n",
            "\n",
            "loss: 0.0076; val_loss: 0.0072\n",
            "\n",
            "Epoch 3/25\n",
            "**************************************************Model saved in autoencoder.002.hdf5\n",
            "\n",
            "loss: 0.0071; val_loss: 0.0069\n",
            "\n",
            "Epoch 4/25\n",
            "**************************************************Model saved in autoencoder.003.hdf5\n",
            "\n",
            "loss: 0.0069; val_loss: 0.0068\n",
            "\n",
            "Epoch 5/25\n",
            "**************************************************Model saved in autoencoder.004.hdf5\n",
            "\n",
            "loss: 0.0068; val_loss: 0.0068\n",
            "\n",
            "Epoch 6/25\n",
            "**************************************************Model saved in autoencoder.005.hdf5\n",
            "\n",
            "loss: 0.0067; val_loss: 0.0066\n",
            "\n",
            "Epoch 7/25\n",
            "**************************************************Model saved in autoencoder.006.hdf5\n",
            "\n",
            "loss: 0.0066; val_loss: 0.0065\n",
            "\n",
            "Epoch 8/25\n",
            "**************************************************Model saved in autoencoder.007.hdf5\n",
            "\n",
            "loss: 0.0065; val_loss: 0.0064\n",
            "\n",
            "Epoch 9/25\n",
            "**************************************************Model saved in autoencoder.008.hdf5\n",
            "\n",
            "loss: 0.0064; val_loss: 0.0063\n",
            "\n",
            "Epoch 10/25\n",
            "**************************************************Model saved in autoencoder.009.hdf5\n",
            "\n",
            "loss: 0.0062; val_loss: 0.0061\n",
            "\n",
            "Epoch 11/25\n",
            "**************************************************Model saved in autoencoder.010.hdf5\n",
            "\n",
            "loss: 0.0061; val_loss: 0.0061\n",
            "\n",
            "Epoch 12/25\n",
            "**************************************************Model saved in autoencoder.011.hdf5\n",
            "\n",
            "loss: 0.0060; val_loss: 0.0060\n",
            "\n",
            "Epoch 13/25\n",
            "**************************************************Model saved in autoencoder.012.hdf5\n",
            "\n",
            "loss: 0.0059; val_loss: 0.0059\n",
            "\n",
            "Epoch 14/25\n",
            "**************************************************Model saved in autoencoder.013.hdf5\n",
            "\n",
            "loss: 0.0058; val_loss: 0.0058\n",
            "\n",
            "Epoch 15/25\n",
            "**************************************************Model saved in autoencoder.014.hdf5\n",
            "\n",
            "loss: 0.0057; val_loss: 0.0058\n",
            "\n",
            "Epoch 16/25\n",
            "**************************************************Model saved in autoencoder.015.hdf5\n",
            "\n",
            "loss: 0.0056; val_loss: 0.0057\n",
            "\n",
            "Epoch 17/25\n",
            "**************************************************Model saved in autoencoder.016.hdf5\n",
            "\n",
            "loss: 0.0056; val_loss: 0.0057\n",
            "\n",
            "Epoch 18/25\n",
            "**************************************************Model saved in autoencoder.017.hdf5\n",
            "\n",
            "loss: 0.0055; val_loss: 0.0056\n",
            "\n",
            "Epoch 19/25\n",
            "**************************************************Model saved in autoencoder.018.hdf5\n",
            "\n",
            "loss: 0.0054; val_loss: 0.0056\n",
            "\n",
            "Epoch 20/25\n",
            "**************************************************Model saved in autoencoder.019.hdf5\n",
            "\n",
            "loss: 0.0054; val_loss: 0.0055\n",
            "\n",
            "Epoch 21/25\n",
            "**************************************************Model saved in autoencoder.020.hdf5\n",
            "\n",
            "loss: 0.0053; val_loss: 0.0055\n",
            "\n",
            "Epoch 22/25\n",
            "**************************************************Model saved in autoencoder.021.hdf5\n",
            "\n",
            "loss: 0.0053; val_loss: 0.0055\n",
            "\n",
            "Epoch 23/25\n",
            "**************************************************Model saved in autoencoder.022.hdf5\n",
            "\n",
            "loss: 0.0052; val_loss: 0.0055\n",
            "\n",
            "Epoch 24/25\n",
            "**************************************************Model saved in autoencoder.023.hdf5\n",
            "\n",
            "loss: 0.0052; val_loss: 0.0055\n",
            "\n",
            "Epoch 25/25\n",
            "**************************************************Model saved in autoencoder.024.hdf5\n",
            "\n",
            "loss: 0.0052; val_loss: 0.0054\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7f2979036c88>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:49:25.084704Z",
          "start_time": "2018-01-04T16:49:23.236568Z"
        },
        "scrolled": true,
        "id": "AtxPRGluPQ_C",
        "outputId": "c6395ad1-e8b4-4154-8a9b-b7964c8953e5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "reconstruction_mse = autoencoder.evaluate(X_test, X_test, verbose=0)\n",
        "print(\"Convolutional autoencoder MSE:\", reconstruction_mse)\n",
        "for i in range(5):\n",
        "    img = X_test[i]\n",
        "    visualize(img,encoder,decoder)"
      ],
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Convolutional autoencoder MSE: 0.00543683269857907\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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CgOjhY8FF9fIP/3k9SlU56X7gZrYVNR9oDK8YsJkvd8/u8BxtXBuiyrPZ8GXor9HAQHhoAOBZzxqqt1PyFjA5Eb6AqrylF/JinHPypiD/8Jl0eMj0H0Ifpko1PhPIZoKhz+i/cCkcp59DDbg+QHpModD8x6NYKsXurX2U5wFp+RxFNp+dJAWSrwSw38x+SMlq1+S4uuHJLF8x22FOC3S8Dgz0WSl63jOp8BwW5OVmYFk9gBF98tzmcnHDqeM6owZWHlyqoZZ23G+g+Sw5nW7+hm/V+JyX8mugBjY2S9b7xYy2fiZ5a0YYu2k0P6Z2XTTdpz84GfmectnW5vmpLGI+gXgY6EbMIezVcebJhQB+keRjqAVVvZiS8ncGM9tqZlvMbEuqr6/dfUwKPmYXGU/FgP8AwFkkT4tCzS8FcOPCdMtxapjZB81so5mditoz9q9m9oYOdyup+JhdZJywhGJmZZJvRy2Rexq1VJD3Hu+cSqWCsbGjtRvnwtykfyBIm7l8mP5XZHEyn+uJXWtgedDbBlfIlFmmKRMjQUOqlIP8UC2GDJK6uFkth5PTKnIh9CMt8gsQX/yoykJrRqZ0aZkiVaDbZTFIPndqlqlTtkEDn5b7FYvh8+VlKptKhXMmizWtzV3ZlyYnMmar0eOaEe04nwvPVK88t6qTpxqX6y3IDKI4wCoioYiWXJHjY2+Zs2jjVVnwk+H2JAmlGtNE5iIvyvhWuad5N1BVbbzhSvHFyjB2Tfqu7dgXNQtPSQM3s5tQK5DgOCcdM/sOgO90uBuJxsfs4sIjMR3HcRJKW7MRmhmmp2qeIT0DMvXKNs8cp6vMPT1xCSXubxmmGrqKqyvkE6Pj4fB0WORSTx9qN2RqVzXxWUfcEyQVm67JDplXVSrqIqL+72EalRbZJKvSirhfqacKAIgKhbRMcSenJurtktyj7iqVGA/wE2NocAyvfdn8k7x94D9eM+9z9o59at7nJAlGvqqptLqzituc6hXyYNEavT/Cs0uR9VSCTOn5s7Vn8QSZNV7iuH7Zuq+59hG/VPOYkdiojHnPxO8dd0KJub2E68biT1q/X/sbuOM4TkJxA+44jpNQ2iqhkEQ2inbMZEJgTU4iICFyRToWzRifjuQlMEe9KqoVCbSROUtOpIiyHlNuvtJbLIWAoKzIG43+GxW5lv4apjOqrcgUMNM8aqsiq8/TEpmlM9FcPi41ac9jAQAIXigznicAULEnX9NxjsfMNF6DTTQoh7GAFD0z/m5o6s0hWqMGyXGWIB2VVmaJhZmVxmBIM/U8CfcwNPdIYTySJxyfar49pqOywbaIF0rFghRbFg+5iqYMaVqTPY6/gTuO4yQUN+CO4zgJpb0SCoh0fQU6TEEmJ6TMpMgNGtzSmINE50/jYyP1tuYRKYoUATldE9yk5H4Wy18i0x1d7W74zaNOyUSb0LwlGVl1L02F7RpkkxKJaGoi5HAZHw/eM4UGT5yevuBlo0FBFFlHpaOZaelcM6Y5Sx3WNQh1NtGEbpqBUMdGOq6nxCTQmHeFNXf5iAXIzZabZJZex45vUDE0CyBF7qiKc1lKdJ2KSCWZWISQHJ9Sj5Tmn6Hx3rEuaq6kmBsLWuJv4I7jOAnFDbjjOE5CcQPuOI6TUNqqgafSafRFRRqOHdpT375hZcjtrbmsNc93FXEN/PCBffV2JhPOGR8JiaqKUthA83NT3HNyWXFHFB2sUAh6c3EsXLPa4G5kcg/VlrVKkLpNlUUbr1bD8em8RGKK22JO3CUzDW6EE5Mh4lITXen58YDVqE/uR+jMASK44Wkyq5wks8pkZymkkIm/G1ZTzfVjjVKuijauRU1ikYqzuBpWYkmrRGuuxEXwWOIpSQBXmUVnj7kIyudLyXZ14dUo6nTDd6BJ7eJRmrJdPne12nqc+hu44zhOQnED7jiOk1Dam8wKQCXy68mKHKBSiWaHUpec8bEgFwDA1EiIlNScv4xNqySBjrjWafmldCrII3kpj6buRzo1tIafvDGpOVkSeWRayrmNTwRXwJGRkabHpMRNcsWKICktWxbynq9cNRy79+rVq0N35fyp8fBd2SxTUcdpjSEVPTOpmDtdTtphHGtiq2IpLnmWpoJL75SMGSuqpChJ6WQc52KFk0Ve1NqaWtMylie8oRi6jlFpj0ufJieDbZmSYzRaOi0J+Pp6g93o7++VdrwyVF9vkGUzMTlFDtKC5mhNWw2447SDlekxXD703Xmf951vPn/e5xwacZ96p3O4hOI4jpNQ2voGXq1WMTpRkyx6ZApiMl0ycZsYkZJoI2PHYtcaHxmtt48dPVpvT5XCVC2dC/folYRZw8uWS6dScoxMr7LhOjnxcik1VIafkGRR03Lvg0cOh76KhFKsyPlSersnF6Zh0zJV09X4iYkwtQOAXY+HerQDg2G6FquSLdGeM2Xp5pJn2HGYStVLHGoUcK4njKuKeIeNj4dne3Q0jF0AOHr4SGgfDWO3PCWeYjIectkw5gZ6wthVWWJZX+jTsoH+elujQEsluT6AUbEbYzIuR8eDlHpIZM4pkYIymfC51RNnvD/InONTYYyOT4ZrAkBvTxjjPdqWiHPNtZ5Kx6NZm+Ej2XEcJ6G4AXe6HpLLSd5A8gGS95O8oNN9cpxuoM0SimE6Wu0dGg5TnoIEq+hKr6bWHR+PT0diPu4y1ZiYDNO4iQmZxknQzKHDYYq0YmCw3laZJSeeKj35MN1pLGs2JVPAozL1GhmXe8uK8/LhNeHew8GrZGgotAuaxEumZKzGg4iKItkcPRwkppycny9oVe2ZvifOG+XPAPyzmb2GZA5Ab6sTnKcOyXq5Q02KRglCKYkXSUnG6ORYfLxOi5dHVRPIydgtFdWjK3hSTUvA2qSMh0ppoN5W75QeSWgXK2eIuBeKtjXwLifjvdAfZBNNlKfBcv0iycYCeVLxcabflb4562H5QviezU5yVXrHOdmQHATwQgBvBgAzKwIoHu8cx1kqtJRQSF5Ncj/Je2TbEMmbST4U/X/Fye2ms4Q5DcABAJ8n+SOSf02yr/EgkleQ3EZy2+HDrd9cFjM+ZpcOc3kDvwbApwD8jWy7EsAtZnYVySujvz/Q8mbpNFZE0420eEoMDoSpkFYhGhsP06XefJBcACCbD1OVZb3hWRxeE+YjozJtO3ggeIVMqtSxM+Rk2bxpbbjf8iCt9C97kr2oM7U/XPfgkUP1dkZkoXxv6PtDj+6ot4/95L7Q79Xr6+31a0KAzsbVq0I/cvHf26x6k1Tkc8tK+/hEmMr290Xfc7LygWcAPBfAO8zsDpJ/htrz9jt6kJltBbAVAH7mmdnEaUQLzDVYgDGbIpGLPLk0aCYbKxcoeUekPGG1IWis0BPGQE5kvalpCUCTZ9WkpGFZPEkmRbIcTQdpZWh5kDFyhTD22CAXqpfbdDHIJrFcKtLU/P3TUyLvSv6TouZQEvmytyF3UVak1ArDvUtpKcsoEozNYZy2fAM3s1sBHG7YfAmAL0TtLwB4dcs7Oc6JsQvALjO7I/r7BtQMujMLPmaXDifqhbLGzGZeXfcCWDPbgTq1nS6WZjvMcZpiZnsB7CR5drTpIgD3HecUpzlzGrOx8TrtSw3dzlNexDQzIznrlFWntuvXrbVzz30mAGD3Yw+Eg2SqMDEZnOtVIZicjK8mj4qD/a49IbXsPQ/+tN4+IqvimvJxWEqRZRiuU+gL059zznl6vb15XXjWc5n4VzZdvLfePnQkeIIU+sOU7uiuR+vtnhXB6b93eZB+fnD3/eEYaa9bHo5PmZSIA/Cc55xbb59+2sZ6e1JW85fJ1HWsVJsCziFLZbfxDgBfijxQHgHwqx3uT6I53pjV8To8NGj56HnPaNkw8ehSzVNzoTQ6UIxJYM/h0TDGx8bCM12S6ux9mrI2pelkAxrsQwmyGRBJdrIhGCZ9JAT9qUKhY6JYCrZmfDr0aVI8VabkZfSApKQeEC+SoWVxZ6nlA+Hvvr4gy+YkqFHLsDHV2jyfqAHfR3Kdme0huQ7A/hO8juO0xMx+DGBLp/uRcHzMLkJO1IDfCOBNAK6K/v/3C9Yjx3mKbD+wFr/42ffM+7z+E1j7tOSsB/uYXYS0NOAkrwXwIgArSe4C8BHUHoLrSV4OYAeA183lZtVKGWMjtSnM5o2b6tvLkk9kStI/HpTglB2S9wMA7hEPjk2nnFFvF3IhP0KfrIqvXx88THRKVi6Kl4ZMvdK66i7TolzDtOaUU4N08aznPqveni6Fyd7IsTB97FkWJI2spKEcXrUu3LscvoNBCR6oluMpdTWvyhP7wgvV8NDKerskuV72H9hb21bytYjFzEKN2XQqjf5IbuwRr6qcyJFp0SEm5bnV/D8AcPBwWFM9fCw8xxOTQe4rSLrVbCFIDL1S0T4l2ozKEIVCkCfyEpBXakhr2yM5XVasCBKm2gr1jKnK5yuJgKOBP3mRQPJanadhhVGzZvdIfpd4gFA4SFNjz0ZLA25ml82y66KWV3ccp+34mF06eC4Ux3GchNLWUPp0OoPBqKgxSkFWmBZH/R4JmpmQQJ6jsnoMAD/3gpDPKJ0O0xGkJE2tHL9M0lCWpTDx+HgIehnsy8jxQU4xWRkul+NTskJPkFfOOPPUevvue4KXzdpVwSNleDgE5rAQpktnn7m53u7Ph2lej6xwF4txL5RcIXzW7Y8+Vm+vkqCgfXuC9JSN0mwyWYE8TodIpYi+KCimR4JjtMBxSp4lDfbpFckFANauCc/98CrxaBHpIivpn/vyWh1LKvWI10ufppntDRKKSg+phro2OZFXBmYpilyWfExaFSwr4zKjqapF7tEgp0YFRKsD6T6tzkPJwTQXqdPfwB3HcRKKG3DHcZyE0lYJJZfL4ZRTTgMAPPLAj+vbB3vDFCQl0TvP/dng1XHeM38mdq2RkSCpaDWNY+LxURFn+8mJkP9EvTcGB0OgDGX7d2+7vd7uK8jXVI67mq3ZFOSKs859Rr29elWYMu74aQjkmRgPnjWDPaF4cUq8YYoi02R6pN0wLS3L9FNlky9fd129/aILL6y3n/sz5wEAem/8NzhOK1KpFHojaSIvz15avEJyIqdk+qUqTkPVJxN/yxTCOWX1+JD8KeptosXJRW2oyzsAkJegHr1+4ztqVipfMa1SkBRTl/uVxNsEEsyUE+koLWmes/J9ZJ+UC0UCeyx8bnVFrVSliPIcnMX8DdxxHCehuAF3HMdJKG2VUFKpNPK9NcliVBz4dcV6cCBMhYaHg8QwNR2fT+RlepItBHlk7dqQt2RKpRUpfJwryGqyFkCdCseffe559XZapnOPPRLkEADYtTPkYcnmwhRp48YQmHPuOWfX24cPSnDSrl31dr9IOQOrggeMBjfo6jgApGXauGI4TA1/9U2vr7cHpXiqRZ9v9sw1jhNIkeiJcpJk1JlDHkNN3ZrWgJZMXD6oiBRRklwjJfEVM/EESbG5adLAIS0MnBMbkpJgu4yMESAutaTFFSQjfVfHlbJU9DGRVkiRSiTNc1o0nmw6/hmyeU1zG/ZVq0FOoaS4LS1EOlnHcRynO3ED7jiOk1DaKqEYiHI0Ndq972B9+ynrz6y3l6+QyhpSdadcjksoKVmxLshUpTgdgn9SMiVbtSLIMbme4PXyxO5Qkeex7Q/V2z9/wQvq7WkJ9jnzzPiU7Ec/knSyB4JMU5kOQTdnnhaCdM44I+RtWb02eI6MT4XjM5JKM98bpl2NVU4g8s/Y0VANKJ8K07BUVauZ1PJTzKVYquOkUin0RV4oaQl+gxbXFo8pLXyc64m/G1YlJ0k5HcZyVc5R7w8NENLgOU37WpBgn3w+yJc58TQplePPeiknwXDiAZMyyW0i102ltOC6yCnSD3FOiQfoMJ4COy1jMSbTSCBjuRzalYbAvWZ4UWNn0VEYnMYzXvHT1gc2cOdPzmh9UAPl78z7FMdZMFxCcRzHSShuwB3HcRJKWyWUKogiau46Gl2lmtrEZNCws4eCe+DqlUHDBoC+TNCmypL0RRPATEpNv14po7Z7f9CLKxLu9LQzgxY/NRZ076wIVtPHQp8AYNOGkGd8+6OP1NsrRMvffSDkQh45FlwVhzUfsejeJomDKWJbtRLX1CbHQtRpUdpWDUkbO6EAABc3SURBVNrZ2FQ4v1SsfbdV18CdOUCpSq8SuCaXKkr5vry8D6YbXOCy8kxrnKRGaJpGYoqYPDEp2ri6MEoFeNXf0xphmYr3IyMlEUuSs18/R0bOz4rLcTana3LyhUi/OUs0KQCUZV2sKu6TarMqstZXakic1wx/A3e6HpLvJnkvyXtIXkuy0Posx1n8uAF3uhqSGwD8JoAtZnYeai9wl3a2V47THbRVQiGJdBSh9cpXvbK+ff8jd9XbKYaEOBMSGbn/QHA7BICMuA7qTKUickyxGKYgE9NajTpMhc447bSwXSLENHIsIy5D5YaIUPVr6pekXDt3PF5vDw7KZxIXxqpMl3qlnFtWpoNlcW8aGQlRnAAwORFKU1XFFakgtZxMkuMwmrZpRFlCyADoIVkC0Atgd4f7syQgiWxmRvIMz2E1lnApSBRT1SB/5jLxavA6XtOxfN3x42ZQWRTigpjOhLHRI7m9M5JH2ySyMdWQVKtXJBHNz12Re0yOh3Gl0ZRpiTpVSchi+cODPShOxyUQk+9QIzxL4jpYlj6VSy6hOAnHzJ4A8DEAjwPYA+CYmX2r8TiSV5DcRnLb9NHJxt2OsyhxA+50NSRXALgEwGkA1gPoI/mGxuPMbKuZbTGzLfnlPY27HWdR0vZAnpmV5oxMo3LigTE6Erw88lJObEy8LABAZkz1nMVAPJFNOqNSydPq7UolTHNu/U7IjX365lNCP2VaNDYZVo+zDclxBgdCEqrB5YP19u59YZb/wAMhWnPj+lDFfmo6vCmm94kkJNmCShKNlU3Hf2/zUsJKy1lNl6QElazC90RRnQkrqfYSAI+a2QEAIPlVAM8H8MWO9moJkCKQj8ZQ2cR7YyrIG2WRU4qabK3BY4pZ8c6QxFEpGcjqwRGXEsRDRLxWpkVinZSxoeXRpibjszHTfok8qbLOtJwzPT5eb2uVeU0kR7m3Ro1WKnEJRPeVqyrfqIQickyltdTpb+BOt/M4gOeR7GXtl+ciAPd3uE+O0xW0NOAkN5H8Nsn7Ileud0bbh0jeTPKh6P8rWl3LceaLmd0B4AYAdwK4G7VndmtHO9XF+HhdWsxFQikDeK+Z3UlyAMAPSd4M4M0AbjGzq0heCeBKAB9odbEwSwrTnMFlwQOjOBECaI6NBq+Lgb7gyQEAKVkdjksC4boHD4Rc3T99KOTxfmLnznr7BReGpFW7Hg/5uQ/I6nVGrp+qxBNKrZTAgKKsnG9YFxJV3XNP8LLRatZ5WdXWYICjh47U2wN9Qc9dNRwfc7pKPSXTSQ1e0OndTDIea0yK1eWY2UcAfKTT/UgICzdemUKmpyZPViWJvEn5v6p4elVlzFQaqsFXNPe2PJNVeYcsSzDNpAT0TYqEeWwyjA3s31tv5vPBhqhHyvRUuA4ATEwESURHQV+hIO0wpjVghzKu+npFEpLAH6hnS0NNtEqlubxSjnmFabv1OG35Bm5me8zszqg9itr0dQNqC0tfiA77AoBXt7yb4zgnFR+vS4t5LWKSPBXAcwDcAWCNmc3kYt0LYM0s51wB4AoAGB5e1ewQx1lQSvty2P+x0+d93vPeP/8Mht/qnWp9UId4quN15dDyZoc4XcScDTjJfgBfAfAuMxtR2cLMjGxeqMvMtiLSLE87/UxLRTmsLbZiHdpaKq0kq8mTpYZ84FOycqv5T8aCF8uhA0GCGRkNzvmaJ/yxh0P+koP7D4R7a15xmQ6mG8ok7f3uv9fbG9YH2WSDlFQbGhqut2O5GCSQpyDTttXrwvEFCVzQfA0AkBLPk4J44pisrqvnSi76bjXPhLM4WYjxesapmywTPWNWkedQ8tCXRY7T55mVhlwoKc07Ivl9TLxYijKOxRNkZDR4oG1/LATIjYqHSK4Qnv++niA7lopxu1GUfCQqtQxJ7qINq8OLZl7KoGmFepV48hJQZDHZI/4dlMTOafk4zTMO+Xd6Uv7/JsxpJJPMovYwfMnMvhpt3kdyXbR/HYD9c7mW4zgnFx+vS4e5eKEQwOcA3G9mH5ddNwJ4U9R+E4C/X/juOY4zH3y8Li3mIqFcCOCNAO4m+eNo24cAXAXgepKXA9gB4HWtLmQAKtG0ICX5SMQ3HxVZ1c5LTpDpYjwwoKcnTFuOHA7SR1mkjx6RYzIIXizl/rBirVPLAwfCdbLiLaLVrw1x5/rhtavr7dHJMKVTj5RVq8KUrL8v5EIxymcthPvlpKJ3StNtpuN5IzTvQiYj+SWkordWyZ4pN1etJssLxZkXCzZeQcKicareTOlseA4zEixXkWe+3CgfyD6LBexI6bTYMWG7ljhbuSLIi9leGdPiHabeIr0DYbwBwKp1QWoZlH3LJBfR8r5gW3I6rkSaLMvYS0lQTqxUWjUeyKNpnHUIMtU8CAlsLZC0NOBmdhsaxZzARS3v4DhO2/DxurTw1SzHcZyE0t50spCUpjI9IDU1rKRxTQcpIdsTT1BUnJSUj5KXYNmykI9EK2GPHg0eKQWRMXqXhdXn059xdr193wMP1NsV8XgZktwnALB2Y6jI05cPfeyXaZ9JNerp6SCzTE6Fz9DXL/lcdIVap6UNuRFi1bBnS29Z1enqzPfhEoozN2Y8sCjeUFmphlXNSFBPLGisoRqN/k2txiXHiMRA8dYq9AepZL2kY14pY6MoHiJlsSGFniCNAMAyqcylHiZ5DbDLan6WYEOs0rxivAbiqBdKY8CcyrWaAyamyqpz0EJ5oTiO4zjdhxtwx3GchNL2dLIz0wKVTXQKocVQq+XgUdI3IHlDAKQsTOkKBUntqAWIJX3jMqmW07ciFEjOy0q2Fj4+85RN9fbooeCdsmIgPiVbPRQkG3XOr0oehLzkWcgVtNqOTBllGpYWeSlWnafx51amrFYNn7skgQHFcjz4x3HmDAmLpIyqBJEZ1eNDvFMyKovGJRRLWdO2pjGKSQyxOCO5B4LUUWAYG1WRUGJFjdNxu1HoDX9rumnpOqpqkGIqhtgm0S8rcq4G/TUqlbqvqvlP9PtQmzAHpdPfwB3HcRKKG3DHcZyE0n4JpYmLalGKCadjeQGksky6YT6hKR+1+Gc5nFOUfAV9IqGk5XcrJ1JOdTLIHmuXB5kFkta20ND9jORyiNcK1hS0oX8lCQbQajkaxJAR2URXslMNFXmgAQAa1CPna/WU1Iy3TrIq8syb0gpg16+0LgjbSM+FR1of1IAWnV50GETyVFkijJmUeItUNU+QxSUUZvRZFblQxklshIsMotJkKpaKNpyrRYbzEgiXzsYlFCWrMojYHf031QLgtOZFiWOphVQGasg5pKNOqw/pB4+lxnYvFMdxnMWLG3DHcZyE0gEJpUZKgnSQltXkkub0ECf6hqlqWlJaUtoTEihTEi8USuHksuRVKQyG4JuDkgulKqkxh4ZCsM7o0cOxfuzeuafeHh5eWW8P9IeAn2IpOP3D1DslfAejI2GVvzoVjo+lxiw1eJRIwEJaAi0qEjikgQUz6TCTVpHH6RyVKCeJPjEm0sBslbEa8/aY7EuLdFEtiXeKeF+Vy6orQI7XCjnSD7EBEnuDSjle1FjjiYpoHlhTUQlFPW6g3iLSJ9PrhH5UG6RKUmxYVT1xJHBPpac5KJ3+Bu50BSSvJrmf5D2yzes4Os5xcAPudAvXALi4YduVqNVxPAvALdHfjuNEuAF3ugIzuxXA4YbNXsfRcY5DWzVwQwi6rIhbkmrgFYiGVFU3n7hum9LoJRGLJqSCdUrc6bQk24rBkFP4tju+X2/v2LEjHC8uiOoOlM7Gv7Kc6HnL+kKU5ppV4R6bTw2l1pYNBnfGiamg12v05eh4SHKl4mNeojiBuGtWWSIuNRIzFs+WPO/BOdVxBOK1HNPDXstxITAzVCPRWKXZiuTwVv2X4srHcuN41bZEbObFLVAEas3/PzEWxsOYtMdlnJSmmrv4qXshAGQkl7km5crK9h6J1sxJTYFcQY6Xsae1A/SzpRo08NjSk3pcyncVc0X2SExnsWC1lddZH2kz22pmW8xsS3pZ32yHOc6iwg240814HUfHOQ4dcyOsym+HiUvhlLjvpdWNsDF6UKZbZXEXLJaDhMJUkByOSj7wn9z1YL2949Hdof14aE9Oh2v2DoQkV5kGCSUrSXRK4v531umn1Nv7DwS7k+0Ln3t4dZBZ1g5J5Ke4B05LFGc1XmAbWfnn0xJuEDeoikSzTkVuiHOpdt0lzNRxvApex7H9kLDITbAiubCL8iBWZeylTF3jGpJZyb5KubkrYHEqyJZHD4/U2zt37q23H3ksuO0eOhjGdFEisDWZFRvKmmXEjGSkmnxB8vcvGwztDetCycR1G4KCp+XY8uKinNVX4gb5Rl2hqzLGK5pPXLWqVPz8ZvgbuNMVkLwWwO0Azia5K6rdeBWAl5J8CMBLor8dx4no2Bu44yhmdtksu7yOo+PMQptLqrEeMaVeKJTSRpocx0phSlUsxqMQU5XmLhXZXJj+TE2Hcw4eDFGWPeKd8rpf+aV6+9FHdsrxR+vt/fv3hfum4/ddORjyga8aDjLI6aduDAdJIq4jo8FTbmT0qLTDlHHd2jBVU8+RckNu77RMP6uxklIiKcn3Nh1JKB6J6cyVmWl/RZ6ZUjFM80uSSC4jskAqntlNU9fDKhoqKcnnpoM0U5FjMmIT1q9dV2+vWRXaVZNkWzIu+sSLBAByMn5TUopRz8lmQp/6+oNtWtYXagdohfmKRIdW5IOyoaq81ifQZFaVmNeY5PVH/Dtshr+BO4uOzAix8pbZs9DNBv91w/xv9tZs62Mc5yTRUgMnWSD5fZJ3kbyX5O9H208jeQfJ7SS/TDLX6lqO45xcfLwuLebyBj4N4MVmNkYyC+A2kt8A8B4AnzCz60h+FsDlAP7yeBcyAFVLRe3w5mKxZ0m2S/DO1EQ8KY0mu0mlwseoxPILa1umVT3hfvfdfWe9vWHd5nr7aZuDF4k66h87HM8ZTZkCjk6N1dtP7Hui3p6YDPLIavE2OeuUcL9dh4JMMzoWrpOTAIPGX9tKKQQCxSrRxypbP7nsmgsoi5oFG69VA2biaUri5aE57TW+Tp/BdEM+cM3pHYtWEQlG1UkNiitskkry6eD90ZMPid4y4nGm8kZfTzwmICPBcDmRO6aKQa6tilRZ0Xz/kiVLj09BA3FEEpJjgAapRCSUmIeOtDVIajZavoFbjRmLko3+MwAvBnBDtN3DnB2nC/DxurSYkxshyTTJH6MWSHEzgIcBHDWr/yTtAtBUQCR5BcltJLeNjRxrdojjOAvIgo1XmQk63cmcFjGtthT9bJLLAXwNwNPnegMz2wpgKwCcevpZxmhKX4r5q0uOgZxMeSSXL6vxfOCjY2Gfzs70uhoQUxBPl/7+cA8t0fTg9nomUzyWDdOz5cuCp4mWaQPieUeq6XDzSfGgWbc65AmfLob8DUeOhilSX2/wnjl8+GC9vUIkFw0UAoA+mUJaRXOD6z+rTulq08HYdNZZdCzYeN18ilnkOaGOS5WK5uAR2UTHaLXRgyL8rW+N+iRqqcO05M7Oq2dHNYyB0qQEuaW0zFuQHUdH455bHBcvFM0zLoFHKplqQJJJO5cPUox62GhpxEYFpKzlEVV2UXVJvoMFkVAUMzsK4NsALgCwnKwXlNwI4IlZT3Qcp+34eF38zMULZVX0Sw6SPQBeCuB+1B6M10SHeZiz43QBPl6XFmwV1EHymagteqRRM/jXm9kfkDwdwHUAhgD8CMAbzGx69isBJA8AGAdw8HjHLVJWons+92YzW9XpTpws+lZusme86t3zPm/oTY/P+5zvvfVajDy4r2sS9Z6E8boD3fXstotu+8xNx2xLDdzMfgLgOU22PwLg/Pn0wMxWkdxmZlvmc95iYKl+bqe9LPR4BZbms5uUz+zJrBzHcRKKG3DHcZyE0gkDvrUD9+wGlurndpLPUnx2E/GZ257MKvIzXXIs1c/dCVIlQ9++cusDG3jhyu3zPufezHHXARcFS/HZTcpndgnFcRwnobgBdxzHSShtNeAkLyb5YJTS8sp23rtdkNxE8tsk74vSeb4z2j5E8maSD0X/X9HpvjrO8VgK4xVI9phtmwEnmQbwaQAvB3AOgMtIntOu+7eRMoD3mtk5AJ4H4Deiz3klgFvM7CwAt0R/OxEkrya5n+Q9su3/kHyA5E9Ifm0mwtA5+Syh8QokeMy28w38fADbzewRMyuiFhV2SRvv3xbMbI+Z3Rm1R1ELY96A2mf9QnSYp/N8MtcAuLhh280AzjOzZwL4KYAPtrtTS5glMV6BZI/ZdhrwDQB2yt+zprRcLJA8FbWouDsArDGzPdGuvQDWzHLaksTMbgVwuGHbtyQF6vdQS8LktIclN16B5I1ZX8Q8SZDsB/AVAO8ysxHdZ7UENJ7TdX68BcA3ZtupeaxLxfHZDnOcWUnimG2nAX8CwCb5e9GmtIxKWX0FwJfM7KvR5n0k10X716GWbN+ZAyQ/jJpO+aXZjjGzrWa2xcy2xHLKOyfKkhmvQHLHbDsN+A8AnBUVV80BuBTAjW28f1sgSQCfA3C/mX1cdt2IWhpPwNN5zhmSbwbwSgCvt1apM52FZEmMVyDZY7ZtkZhmVib5dgDfRC3V5dVmdm+77t9GLgTwRgB3R2WtAOBDAK4CcD3Jy1FL0fm6DvUvMZC8GMD7Afy8mU20Ot5ZOJbQeAUSPGbbGkpvZjcBuKmd92w3ZnYbgNnyQ1/Uzr4kCZLXAngRgJUkdwH4CGpeJ3kAN9dekvA9M3tbxzq5xFgK4xVI9phtey4Ux2mGmV3WZPPn2t4Rx0kQ7oXiOI6TUPwN3Fl0lPqIvednWx/YwN98/cXzPufQ0bvmfY7jLBT+Bu44jpNQ3IA7juMkFDfgjuM4CcUNuOM4TkJxA+44jpNQ3IA7juMkFDfgjuM4CcUNuOM4TkJxA+44jpNQ3IA7juMkFDfgjuM4CcUNuOM4TkJxA+44jpNQPBuhs+hYM3QU77x0/tWv/u6DvzDvc3ZPeJU3p3P4G7jjOE5CcQPuOI6TUNyAO10ByatJ7id5T5N97yVpJFd2om+O0624AXe6hWsAXNy4keQmAP8FwOPt7pDjdDtuwJ2uwMxuBXC4ya5PAHg/AF8tdJwG3IA7XQvJSwA8YWYtC0+SvILkNpLbxo6U2tA7x+k87kbodCUkewF8CDX5pCVmthXAVgDYfN6Av607SwJ/A3e6lTMAnAbgLpKPAdgI4E6SazvaK8fpIvwN3OlKzOxuAKtn/o6M+BYzO9ixTjlOl+Fv4E5XQPJaALcDOJvkLpKXd7pPjtPt+Bu40xWY2WUt9p/apq44TmLwN3DHcZyE4m/gzqJj78hyfPSWV877vNzrJ+Z9Tvkn7vDidA5/A3ccx0kobsAdx3ESihtwx3GchOIG3HEcJ6G4AXccx0kobsAdx3ESihtwx3GchOIG3HEcJ6G4AXccx0kobsAdx3ESihtwx3GchOIG3HEcJ6G4AXccx0koNPNsas7iguQBADua7FoJ4EQq+hzvvM1mtuoEruk4Txk34M6SgeQ2M9vSrvMc52TjEorjOE5CcQPuOI6TUNyAO0uJrW0+z3FOKq6BO47jJBR/A3ccx0kobsAdx3ESihtwZ0lA8mKSD5LcTvLKOZ5zNcn9JO852f1znBPBDbiz6CGZBvBpAC8HcA6Ay0ieM4dTrwFw8UnsmuM8JdyAO0uB8wFsN7NHzKwI4DoAl7Q6ycxuBXD4ZHfOcU4UN+DOUmADgJ3y965om+MkGjfgjuM4CcUNuLMUeALAJvl7Y7TNcRKNG3BnKfADAGeRPI1kDsClAG7scJ8c5ynjBtxZ9JhZGcDbAXwTwP0Arjeze1udR/JaALcDOJvkLpKXn9yeOs788FB6x3GchOJv4I7jOAnFDbjjOE5CcQPuOI6TUNyAO47jJBQ34I7jOAnFDbjjOE5CcQPuOI6TUP4/i884C4o3rdcAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:49:54.273061Z",
          "start_time": "2018-01-04T16:49:54.230656Z"
        },
        "id": "De1VauJyPQ_E"
      },
      "source": [
        "# save trained weights\n",
        "encoder.save_weights(\"encoder.h5\")\n",
        "decoder.save_weights(\"decoder.h5\")"
      ],
      "execution_count": 37,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:50:01.657093Z",
          "start_time": "2018-01-04T16:50:01.067976Z"
        },
        "id": "C_bV7EZsPQ_H",
        "outputId": "d48aadb7-ddff-4b21-9cb5-11f7f9c794c3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# restore trained weights\n",
        "s = reset_tf_session()\n",
        "\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=32)\n",
        "encoder.load_weights(\"encoder.h5\")\n",
        "decoder.load_weights(\"decoder.h5\")\n",
        "\n",
        "inp = L.Input(IMG_SHAPE)\n",
        "code = encoder(inp)\n",
        "reconstruction = decoder(code)\n",
        "\n",
        "autoencoder = keras.models.Model(inputs=inp, outputs=reconstruction)\n",
        "autoencoder.compile(optimizer=\"adamax\", loss='mse')\n",
        "\n",
        "print(autoencoder.evaluate(X_test, X_test, verbose=0))\n",
        "print(reconstruction_mse)"
      ],
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.005436832709910752\n",
            "0.00543683269857907\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CGpuZmt0PQ_K"
      },
      "source": [
        "# Submit to Coursera"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "y9w64kOsPQ_K",
        "outputId": "816612b8-c8f9-4081-e48d-d753f4522e60",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        }
      },
      "source": [
        "from submit import submit_autoencoder\n",
        "submission = build_deep_autoencoder(IMG_SHAPE, code_size=71)\n",
        "\n",
        "# token expires every 30 min\n",
        "COURSERA_TOKEN = \"tUCe4iOXzwN4rXeb\"\n",
        "COURSERA_EMAIL = \"gabor.bakos.uni@gmail.com\"\n",
        "\n",
        "submit_autoencoder(submission, reconstruction_mse, COURSERA_EMAIL, COURSERA_TOKEN)"
      ],
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Submitted to Coursera platform. See results on assignment page!\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "odI6s37mPQ_M"
      },
      "source": [
        "# Optional: Denoising Autoencoder\n",
        "\n",
        "This part is **optional**, it shows you one useful application of autoencoders: denoising. You can run this code and make sure denoising works :) \n",
        "\n",
        "Let's now turn our model into a denoising autoencoder:\n",
        "<img src=\"https://github.com/hse-aml/intro-to-dl/blob/master/week4/images/denoising.jpg?raw=1\" style=\"width:40%\">\n",
        "\n",
        "We'll keep the model architecture, but change the way it is trained. In particular, we'll corrupt its input data randomly with noise before each epoch.\n",
        "\n",
        "There are many strategies to introduce noise: adding gaussian white noise, occluding with random black rectangles, etc. We will add gaussian white noise."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:52:04.861818Z",
          "start_time": "2018-01-04T16:52:04.856134Z"
        },
        "id": "4cIDMX7YPQ_N"
      },
      "source": [
        "def apply_gaussian_noise(X,sigma=0.1):\n",
        "    \"\"\"\n",
        "    adds noise from standard normal distribution with standard deviation sigma\n",
        "    :param X: image tensor of shape [batch,height,width,3]\n",
        "    Returns X + noise.\n",
        "    \"\"\"\n",
        "    noise = np.random.randn((*X.shape)) * sigma\n",
        "    return X + noise"
      ],
      "execution_count": 43,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:52:06.264119Z",
          "start_time": "2018-01-04T16:52:06.223714Z"
        },
        "id": "wiOBuTfXPQ_P"
      },
      "source": [
        "# noise tests\n",
        "theoretical_std = (X_train[:100].std()**2 + 0.5**2)**.5\n",
        "our_std = apply_gaussian_noise(X_train[:100],sigma=0.5).std()\n",
        "assert abs(theoretical_std - our_std) < 0.01, \"Standard deviation does not match it's required value. Make sure you use sigma as std.\"\n",
        "assert abs(apply_gaussian_noise(X_train[:100],sigma=0.5).mean() - X_train[:100].mean()) < 0.01, \"Mean has changed. Please add zero-mean noise\""
      ],
      "execution_count": 44,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:52:08.220681Z",
          "start_time": "2018-01-04T16:52:07.737460Z"
        },
        "id": "jcJBSIB6PQ_R",
        "outputId": "0a0f86a5-1575-45f4-9ff0-4daf7197a0d3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 124
        }
      },
      "source": [
        "# test different noise scales\n",
        "plt.subplot(1,4,1)\n",
        "show_image(X_train[0])\n",
        "plt.subplot(1,4,2)\n",
        "show_image(apply_gaussian_noise(X_train[:1],sigma=0.01)[0])\n",
        "plt.subplot(1,4,3)\n",
        "show_image(apply_gaussian_noise(X_train[:1],sigma=0.1)[0])\n",
        "plt.subplot(1,4,4)\n",
        "show_image(apply_gaussian_noise(X_train[:1],sigma=0.5)[0])"
      ],
      "execution_count": 45,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eTliOmp1PQ_T"
      },
      "source": [
        "Training will take **1 hour**."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:02.667408Z",
          "start_time": "2018-01-04T16:52:31.853874Z"
        },
        "scrolled": true,
        "id": "XbNNSAYOPQ_T",
        "outputId": "2c5bc708-ce00-4e78-ece2-30f571efd97e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "s = reset_tf_session()\n",
        "\n",
        "# we use bigger code size here for better quality\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=512)\n",
        "assert encoder.output_shape[1:]==(512,), \"encoder must output a code of required size\"\n",
        "\n",
        "inp = L.Input(IMG_SHAPE)\n",
        "code = encoder(inp)\n",
        "reconstruction = decoder(code)\n",
        "\n",
        "autoencoder = keras.models.Model(inp, reconstruction)\n",
        "autoencoder.compile('adamax', 'mse')\n",
        "\n",
        "for i in range(25):\n",
        "    print(\"Epoch %i/25, Generating corrupted samples...\"%(i+1))\n",
        "    X_train_noise = apply_gaussian_noise(X_train)\n",
        "    X_test_noise = apply_gaussian_noise(X_test)\n",
        "    \n",
        "    # we continue to train our model with new noise-augmented data\n",
        "    autoencoder.fit(x=X_train_noise, y=X_train, epochs=1,\n",
        "                    validation_data=[X_test_noise, X_test],\n",
        "                    callbacks=[keras_utils.TqdmProgressCallback()],\n",
        "                    verbose=0)"
      ],
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0108; val_loss: 0.0073\n",
            "Epoch 2/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0065; val_loss: 0.0057\n",
            "Epoch 3/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0054; val_loss: 0.0050\n",
            "Epoch 4/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0048; val_loss: 0.0046\n",
            "Epoch 5/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0044; val_loss: 0.0042\n",
            "Epoch 6/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0041; val_loss: 0.0040\n",
            "Epoch 7/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0039; val_loss: 0.0039\n",
            "Epoch 8/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0037; val_loss: 0.0037\n",
            "Epoch 9/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0036; val_loss: 0.0035\n",
            "Epoch 10/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0034; val_loss: 0.0035\n",
            "Epoch 11/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0033; val_loss: 0.0034\n",
            "Epoch 12/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0033; val_loss: 0.0032\n",
            "Epoch 13/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0032; val_loss: 0.0032\n",
            "Epoch 14/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0031; val_loss: 0.0031\n",
            "Epoch 15/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0031; val_loss: 0.0031\n",
            "Epoch 16/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0030; val_loss: 0.0030\n",
            "Epoch 17/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0029; val_loss: 0.0030\n",
            "Epoch 18/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0029; val_loss: 0.0029\n",
            "Epoch 19/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0028; val_loss: 0.0029\n",
            "Epoch 20/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0028; val_loss: 0.0029\n",
            "Epoch 21/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0028; val_loss: 0.0029\n",
            "Epoch 22/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0027; val_loss: 0.0028\n",
            "Epoch 23/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0027; val_loss: 0.0028\n",
            "Epoch 24/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0027; val_loss: 0.0028\n",
            "Epoch 25/25, Generating corrupted samples...\n",
            "\n",
            "Epoch 1/1\n",
            "**************************************************\n",
            "loss: 0.0027; val_loss: 0.0028\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:09.059164Z",
          "start_time": "2018-01-04T16:56:06.987995Z"
        },
        "scrolled": true,
        "id": "XhnI0IUaPQ_V",
        "outputId": "43b5aa2a-c4a4-4c10-be39-e86d2a6f8b0d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "X_test_noise = apply_gaussian_noise(X_test)\n",
        "denoising_mse = autoencoder.evaluate(X_test_noise, X_test, verbose=0)\n",
        "print(\"Denoising MSE:\", denoising_mse)\n",
        "for i in range(5):\n",
        "    img = X_test_noise[i]\n",
        "    visualize(img,encoder,decoder)"
      ],
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Denoising MSE: 0.0027835341801640255\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4pMTEc9zPQ_Y"
      },
      "source": [
        "# Optional: Image retrieval with autoencoders\n",
        "\n",
        "So we've just trained a network that converts image into itself imperfectly. This task is not that useful in and of itself, but it has a number of awesome side-effects. Let's see them in action.\n",
        "\n",
        "First thing we can do is image retrieval aka image search. We will give it an image and find similar images in latent space:\n",
        "\n",
        "<img src=\"https://github.com/hse-aml/intro-to-dl/blob/master/week4/images/similar_images.jpg?raw=1\" style=\"width:60%\">\n",
        "\n",
        "To speed up retrieval process, one should use Locality Sensitive Hashing on top of encoded vectors. This [technique](https://erikbern.com/2015/07/04/benchmark-of-approximate-nearest-neighbor-libraries.html) can narrow down the potential nearest neighbours of our image in latent space (encoder code). We will caclulate nearest neighbours in brute force way for simplicity."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:25.988163Z",
          "start_time": "2018-01-04T16:56:25.784071Z"
        },
        "id": "fcvSbdYdPQ_Y"
      },
      "source": [
        "# restore trained encoder weights\n",
        "s = reset_tf_session()\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=32)\n",
        "encoder.load_weights(\"encoder.h5\")"
      ],
      "execution_count": 48,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:30.368727Z",
          "start_time": "2018-01-04T16:56:29.246409Z"
        },
        "id": "jG8z8RSCPQ_a"
      },
      "source": [
        "images = X_train\n",
        "codes = encoder.predict(images)\n",
        "assert len(codes) == len(images)"
      ],
      "execution_count": 52,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:39.396176Z",
          "start_time": "2018-01-04T16:56:39.370156Z"
        },
        "id": "D6nQyYNGPQ_c",
        "outputId": "6fcd2460-51b5-4489-c397-c045aa565c7f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 124
        }
      },
      "source": [
        "from sklearn.neighbors.unsupervised import NearestNeighbors\n",
        "nei_clf = NearestNeighbors(metric=\"euclidean\")\n",
        "nei_clf.fit(codes)"
      ],
      "execution_count": 53,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/sklearn/utils/deprecation.py:144: FutureWarning: The sklearn.neighbors.unsupervised module is  deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.neighbors. Anything that cannot be imported from sklearn.neighbors is now part of the private API.\n",
            "  warnings.warn(message, FutureWarning)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "NearestNeighbors(algorithm='auto', leaf_size=30, metric='euclidean',\n",
              "                 metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
              "                 radius=1.0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:42.213214Z",
          "start_time": "2018-01-04T16:56:42.206902Z"
        },
        "id": "upNrZbwqPQ_e"
      },
      "source": [
        "def get_similar(image, n_neighbors=5):\n",
        "    assert image.ndim==3,\"image must be [batch,height,width,3]\"\n",
        "\n",
        "    code = encoder.predict(image[None])\n",
        "    \n",
        "    (distances,),(idx,) = nei_clf.kneighbors(code,n_neighbors=n_neighbors)\n",
        "    \n",
        "    return distances,images[idx]"
      ],
      "execution_count": 54,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:44.008658Z",
          "start_time": "2018-01-04T16:56:43.997658Z"
        },
        "id": "Nu7owFOYPQ_g"
      },
      "source": [
        "def show_similar(image):\n",
        "    \n",
        "    distances,neighbors = get_similar(image,n_neighbors=3)\n",
        "    \n",
        "    plt.figure(figsize=[8,7])\n",
        "    plt.subplot(1,4,1)\n",
        "    show_image(image)\n",
        "    plt.title(\"Original image\")\n",
        "    \n",
        "    for i in range(3):\n",
        "        plt.subplot(1,4,i+2)\n",
        "        show_image(neighbors[i])\n",
        "        plt.title(\"Dist=%.3f\"%distances[i])\n",
        "    plt.show()"
      ],
      "execution_count": 55,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EKJWgHpUPQ_i"
      },
      "source": [
        "Cherry-picked examples:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:57:31.768260Z",
          "start_time": "2018-01-04T16:57:31.240174Z"
        },
        "id": "ZtFoZLsfPQ_i",
        "outputId": "07224921-4edc-4b50-daf0-47705c900f42",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 161
        }
      },
      "source": [
        "# smiles\n",
        "show_similar(X_test[247])"
      ],
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x504 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:50.828404Z",
          "start_time": "2018-01-04T16:56:50.462822Z"
        },
        "id": "vdzM_v52PQ_k",
        "outputId": "90562e6a-7346-4322-d17a-25ed5b55e01a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 161
        }
      },
      "source": [
        "# ethnicity\n",
        "show_similar(X_test[56])"
      ],
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x504 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:56:52.939288Z",
          "start_time": "2018-01-04T16:56:52.576097Z"
        },
        "scrolled": false,
        "id": "e3LsmVm5PQ_m",
        "outputId": "1696eff8-ef60-4940-fedd-353224d6029e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 161
        }
      },
      "source": [
        "# glasses\n",
        "show_similar(X_test[63])"
      ],
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x504 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "H8667FCjPQ_p"
      },
      "source": [
        "# Optional: Cheap image morphing\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UfEV4lUwPQ_p"
      },
      "source": [
        "We can take linear combinations of image codes to produce new images with decoder."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:57:58.378044Z",
          "start_time": "2018-01-04T16:57:58.145544Z"
        },
        "id": "qSSuT_c2PQ_q"
      },
      "source": [
        "# restore trained encoder weights\n",
        "s = reset_tf_session()\n",
        "encoder, decoder = build_deep_autoencoder(IMG_SHAPE, code_size=32)\n",
        "encoder.load_weights(\"encoder.h5\")\n",
        "decoder.load_weights(\"decoder.h5\")"
      ],
      "execution_count": 59,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2018-01-04T16:58:03.396368Z",
          "start_time": "2018-01-04T16:58:00.359973Z"
        },
        "id": "Cr0CJm6GPQ_s",
        "outputId": "3c514ade-e291-45a7-bc43-a266d96a4204",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 592
        }
      },
      "source": [
        "for _ in range(5):\n",
        "    image1,image2 = X_test[np.random.randint(0,len(X_test),size=2)]\n",
        "\n",
        "    code1, code2 = encoder.predict(np.stack([image1, image2]))\n",
        "\n",
        "    plt.figure(figsize=[10,4])\n",
        "    for i,a in enumerate(np.linspace(0,1,num=7)):\n",
        "\n",
        "        output_code = code1*(1-a) + code2*(a)\n",
        "        output_image = decoder.predict(output_code[None])[0]\n",
        "\n",
        "        plt.subplot(1,7,i+1)\n",
        "        show_image(output_image)\n",
        "        plt.title(\"a=%.2f\"%a)\n",
        "        \n",
        "    plt.show()"
      ],
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 7 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 7 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 7 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 7 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 7 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "hY9Cc797PQ_u"
      },
      "source": [
        "That's it!\n",
        "\n",
        "Of course there's a lot more you can do with autoencoders.\n",
        "\n",
        "If you want to generate images from scratch, however, we recommend you our honor track on Generative Adversarial Networks or GANs."
      ]
    }
  ]
}