합성곱 신경망의 시각화.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"합성곱 신경망의 시각화.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyPwbopNR+kRFA+fEzm3i8rT"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":2,"metadata":{"id":"Mf369n7mhDgd","executionInfo":{"status":"ok","timestamp":1644649561941,"user_tz":-540,"elapsed":3188,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"outputs":[],"source":["from tensorflow import keras"]},{"cell_type":"code","source":["model = keras.models.load_model('best-cnn-model.h5')"],"metadata":{"id":"cwuTJ_uzhYGh","executionInfo":{"status":"ok","timestamp":1644649563832,"user_tz":-540,"elapsed":659,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":3,"outputs":[]},{"cell_type":"code","source":["model.layers"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"msa4e1afwGhF","executionInfo":{"status":"ok","timestamp":1644649579036,"user_tz":-540,"elapsed":584,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"e057e452-4136-412a-fd13-1c3ce3e6a117"},"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<keras.layers.convolutional.Conv2D at 0x7f5a40a6ad50>,\n"," <keras.layers.pooling.MaxPooling2D at 0x7f5a3d362fd0>,\n"," <keras.layers.convolutional.Conv2D at 0x7f5a3d2f1a10>,\n"," <keras.layers.pooling.MaxPooling2D at 0x7f5a3d281ed0>,\n"," <keras.layers.core.flatten.Flatten at 0x7f5a3d2c1d50>,\n"," <keras.layers.core.dense.Dense at 0x7f5a3d28a410>,\n"," <keras.layers.core.dropout.Dropout at 0x7f5a3d28fa90>,\n"," <keras.layers.core.dense.Dense at 0x7f5a3d2819d0>]"]},"metadata":{},"execution_count":4}]},{"cell_type":"code","source":["conv =model.layers[0]\n","print(conv.weights[0].shape, conv.weights[1].shape)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"J2UmtznkwPrl","executionInfo":{"status":"ok","timestamp":1644649633703,"user_tz":-540,"elapsed":7,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"15839012-9a55-419a-8510-0ea3c9b39903"},"execution_count":5,"outputs":[{"output_type":"stream","name":"stdout","text":["(3, 3, 1, 32) (32,)\n"]}]},{"cell_type":"code","source":["conv_weights = conv.weights[0].numpy()\n","print(conv_weights.mean(), conv_weights.std())"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"GGVAW08qwdLt","executionInfo":{"status":"ok","timestamp":1644649690861,"user_tz":-540,"elapsed":6,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"691247d6-b6dc-4ceb-a8fb-3904e49fea0a"},"execution_count":6,"outputs":[{"output_type":"stream","name":"stdout","text":["0.011682459 0.13112508\n"]}]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","plt.hist(conv_weights.reshape(-1,1))\n","plt.xlabel('weight')\n","plt.ylabel('count')\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":279},"id":"m9xUY928wrIu","executionInfo":{"status":"ok","timestamp":1644649764682,"user_tz":-540,"elapsed":1112,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"a7b603d8-6cdc-4595-c292-74399ca514fb"},"execution_count":7,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["fig, axs = plt.subplots(2,16,figsize=(15,2))\n","for i in range(2):\n","  for j in range(16):\n","    axs[i,j].imshow(conv_weights[:,:,0,i*16+j], vmin=-0.5,vmax=0.5)\n","    axs[i,j].axis('off')\n","    \n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":134},"id":"nM3yfq0hw88s","executionInfo":{"status":"ok","timestamp":1644649928578,"user_tz":-540,"elapsed":1484,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"b967d6ce-4a40-4157-e6d4-f04c48696eff"},"execution_count":8,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x144 with 32 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["no_training_model = keras.Sequential()\n","no_training_model.add(keras.layers.Conv2D(32, kernel_size=3, activation='relu', padding='same', input_shape=(28,28,1)))"],"metadata":{"id":"t3wqqG7txk2m","executionInfo":{"status":"ok","timestamp":1644650804679,"user_tz":-540,"elapsed":5,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":9,"outputs":[]},{"cell_type":"code","source":["no_training_conv= no_training_model.layers[0]\n","print(no_training_conv.weights[0].shape)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"or5ZV3KT07GG","executionInfo":{"status":"ok","timestamp":1644650876144,"user_tz":-540,"elapsed":397,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"ea6283ad-bbc1-445e-ca1d-7a23c2174428"},"execution_count":11,"outputs":[{"output_type":"stream","name":"stdout","text":["(3, 3, 1, 32)\n"]}]},{"cell_type":"code","source":["no_training_weights = no_training_conv.weights[0].numpy()\n","print(no_training_weights.mean(), no_training_weights.std())\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"F3EOOdAo1ItR","executionInfo":{"status":"ok","timestamp":1644650961631,"user_tz":-540,"elapsed":408,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"25cdde76-4767-46a0-c5f0-107c2d089b41"},"execution_count":12,"outputs":[{"output_type":"stream","name":"stdout","text":["-0.0062575936 0.0857946\n"]}]},{"cell_type":"code","source":["plt.hist(no_training_weights.reshape(-1,1))\n","plt.xlabel('weight')\n","plt.ylabel('count')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":279},"id":"qZrAc_c01hVY","executionInfo":{"status":"ok","timestamp":1644651020203,"user_tz":-540,"elapsed":11,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"6a61dade-205f-43b6-9ee0-ec8c6fe78b27"},"execution_count":13,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["fig, axs = plt.subplots(2,16,figsize=(15,2))\n","for i in range(2):\n","  for j in range(16):\n","    axs[i,j].imshow(no_training_weights[:,:,0,i*16+j], vmin=-0.5, vmax=0.5)\n","    axs[i,j].axis('off')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":134},"id":"zBiAPhvT1vwL","executionInfo":{"status":"ok","timestamp":1644651165794,"user_tz":-540,"elapsed":1661,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"4cbe8f1a-e0be-4db4-cde3-8b787aa9b63c"},"execution_count":14,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x144 with 32 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["print(model.input)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"U3BYGPJy2SuU","executionInfo":{"status":"ok","timestamp":1644651185459,"user_tz":-540,"elapsed":6,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"27534bdc-23b9-4545-8697-28f17b0504c5"},"execution_count":15,"outputs":[{"output_type":"stream","name":"stdout","text":["KerasTensor(type_spec=TensorSpec(shape=(None, 28, 28, 1), dtype=tf.float32, name='conv2d_input'), name='conv2d_input', description=\"created by layer 'conv2d_input'\")\n"]}]},{"cell_type":"code","source":["conv_acti = keras.Model(model.input, model.layers[0].output)"],"metadata":{"id":"EJ3hDoKq2X1P","executionInfo":{"status":"ok","timestamp":1644651288951,"user_tz":-540,"elapsed":5,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":17,"outputs":[]},{"cell_type":"code","source":["(train_input, train_target), (test_input, test_target)=keras.datasets.fashion_mnist.load_data()\n","plt.imshow(train_input[0], cmap='gray_r')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"5wteWmvU2tAj","executionInfo":{"status":"ok","timestamp":1644652009028,"user_tz":-540,"elapsed":985,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"05ff9fed-fcd1-4c8a-a6dc-b147ada56a11"},"execution_count":23,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["inputs = train_input[0:1].reshape(-1,28,28,1)/255.0\n","feature_maps= conv_acti.predict(inputs)"],"metadata":{"id":"HLdDV9-G3M-8","executionInfo":{"status":"ok","timestamp":1644652078690,"user_tz":-540,"elapsed":637,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":25,"outputs":[]},{"cell_type":"code","source":["print(feature_maps.shape)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Fm7BHah45vMQ","executionInfo":{"status":"ok","timestamp":1644652095271,"user_tz":-540,"elapsed":523,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"69211cd9-c352-483d-c084-72ca5eb945f4"},"execution_count":26,"outputs":[{"output_type":"stream","name":"stdout","text":["(1, 28, 28, 32)\n"]}]},{"cell_type":"code","source":["fig,axs=plt.subplots(4,8,figsize=(15,8))\n","for i in range(4):\n","  for j in range(8):\n","    axs[i,j].imshow(feature_maps[0,:,:,i*8+j])\n","    axs[i,j].axis('off')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":460},"id":"hOtLiyQ_52Fa","executionInfo":{"status":"ok","timestamp":1644652239219,"user_tz":-540,"elapsed":2365,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"e6d48dd6-d30c-48f6-89a0-53a07471ae90"},"execution_count":28,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 32 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["conv2_acti = keras.Model(model.input, model.layers[2].output)"],"metadata":{"id":"I-ejuU7Y6RbD","executionInfo":{"status":"ok","timestamp":1644652293308,"user_tz":-540,"elapsed":436,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":29,"outputs":[]},{"cell_type":"code","source":["inputs = train_input[0:1].reshape(-1,28,28,1)/255.0\n","feature_maps = conv2_acti.predict(inputs)"],"metadata":{"id":"LAciVr_D6mc5","executionInfo":{"status":"ok","timestamp":1644652386655,"user_tz":-540,"elapsed":2,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}}},"execution_count":30,"outputs":[]},{"cell_type":"code","source":["print(feature_maps.shape)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"W0PPmlQx69Mg","executionInfo":{"status":"ok","timestamp":1644652402537,"user_tz":-540,"elapsed":399,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"5339d9e3-17f1-470c-9047-4ec4323da2dc"},"execution_count":31,"outputs":[{"output_type":"stream","name":"stdout","text":["(1, 14, 14, 64)\n"]}]},{"cell_type":"code","source":["fig, axs = plt.subplots(8, 8, figsize=(12,12))\n","for i in range(8):\n","  for j in range(8):\n","    axs[i,j].imshow(feature_maps[0,:,:,i*8+j])\n","    axs[i,j].axis('off')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":683},"id":"Dkif4d5a7BBJ","executionInfo":{"status":"ok","timestamp":1644652595425,"user_tz":-540,"elapsed":2989,"user":{"displayName":"Jin Heo","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiYKiOfEVjRqVXxpIJ4VaU8ICHjx_uSljL8K0Rw5w=s64","userId":"12568755051479383181"}},"outputId":"76cd6f72-3898-44e0-90e4-3defbe4283f2"},"execution_count":33,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x864 with 64 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":[""],"metadata":{"id":"Z_ku55Qh7tPK"},"execution_count":null,"outputs":[]}]}