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href=\"https://colab.research.google.com/github/mallang327/EEE4178-Hands-On/blob/main/Day4_2022_MNIST_RNN.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"]},{"cell_type":"markdown","metadata":{"id":"M7E5W7xWNwxd"},"source":["**Look inside CNN**"]},{"cell_type":"markdown","metadata":{"id":"L3LcD2bAOWbj"},"source":["\n","\n","* MNIST\n","\n"]},{"cell_type":"code","metadata":{"id":"KYUQIPBYNrl5","executionInfo":{"status":"ok","timestamp":1669312255710,"user_tz":-540,"elapsed":2396,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["import numpy as np\n","import torch\n","import torch.nn as nn\n","import torch.nn.functional as F\n","import torchvision\n","import torchvision.transforms as transforms\n","\n","import matplotlib\n","import matplotlib.pyplot as plt\n","from matplotlib.pyplot import imshow"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"Gk6d1Ki4Ocbi"},"source":["1. Define Hyper-parameters and pre-set device on cuda"]},{"cell_type":"code","metadata":{"id":"y-FASUZSN8gD","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1669312255711,"user_tz":-540,"elapsed":8,"user":{"displayName":"정원","userId":"11060831952027892446"}},"outputId":"e19d4dc9-1920-4738-d9d9-dfe13b11f28e"},"source":["# Device Configuration\n","device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n","print(f\"device: {device}\")\n","# Adjust Dataset classes and channels\n","num_classes = 10\n","in_channel = 1\n","\n","# Hyper-parameters\n","batch_size = 50\n","max_pool_kernel = 2\n","learning_rate = 0.0001\n","num_epochs = 5"],"execution_count":2,"outputs":[{"output_type":"stream","name":"stdout","text":["device: cuda\n"]}]},{"cell_type":"markdown","metadata":{"id":"fjTBbnArO2GM"},"source":["2. Load Data"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":439,"referenced_widgets":["5bf548a0994449b2a110ec9767f773b4","048c048a58454c8ab347354b4e7b29da","1eded62d469e41d795503445249f133f","de8b10238bf8443c824a3739a9cffee6","c3b115259b5a4323ab876044de98e0db","86c25a7595ec4b418658d56db370a382","083a6a37efc242a88db045cb80cba885","36a1fb1150f242e08fd4e1465a5802f8","76a6e7cf16264f7c8fb396bed070724a","e2481fc2218d44eb9e6f504077a23523","850be4e46aa84da0aa67c88df949fb0a","8660dbfbba694cfc91f20c80fd28e7c8","548294485ed640a697b37238152a56d6","f67595f7765c4131bbedc118fd397e37","8e3e784b2560472b82f55aee023a7844","abcbb44a919b403aa2f534861f081920","a095bc2329f74b76a9d2785e4ce33b60","feedb0b79c6846dc8b6fdd5bbf1bf592","a2f467cae27b47b7b9178d1ec7d11fc0","f40abf0bc6f04866af0b78c0cd377acb","579893d0ca0b4404ac818a3c464397f5","802ce75eeb084392bb2a2c97254a91b6","5f9f4a43db004ca084aeee6d3c1bab14","18ae9aef93ba4ff9b7e928f6ec48b567","041bacff43664b1dab6a6cb6a7ce6b91","82777984cb9e48e5ae67cfeedd8fb720","007edcd620f6491d971a9afe97208a68","5e83b6ed255c44c398b6bb52593cbedf","2ad9a77d666c4b23a08670ae72f62150","1cd3c9060bda4c9cb216920dd27b1af9","110998fa5edf4294be0628b956934e3a","e114deb870d5429eb9a3fe32d29c7c0b","b50a1c0c0cb341a8a15dca7cd75b0264","e8b5645b8bc844ebaa98209f56d3636d","1ce983d70a92459d8a6de798adf2fb3a","10f5248e797f47fba3244006d21b50cc","c82afe445bd44157b0fdfa4c859e546f","fcf7097f6a624852a72e2c279e1bf43f","3131ab6f04d14d42bfa1383c67a6f61c","8f6a445960044e1f9952c4db2c01a75e","bb3e05819c2d4f30b84b415384e8a188","5e3f27e77bb84748b31d658f56dbf466","b9ff0aa200474461ab1d93c024add1df","fe66d883bb974842be5878ed3a656ed1"]},"id":"h7tbhas1Ofqk","outputId":"e4bb6776-d382-4a08-d97b-1502a21f022a","executionInfo":{"status":"ok","timestamp":1669312257242,"user_tz":-540,"elapsed":1537,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["train_data = torchvision.datasets.MNIST(root='./datasets',\n","                                        train=True,\n","                                        transform=transforms.ToTensor(),\n","                                        download=True)\n","\n","test_data = torchvision.datasets.MNIST(root='./datasets',\n","                                       train=False,\n","                                       transform=transforms.ToTensor(),\n","                                       download=True)"],"execution_count":3,"outputs":[{"output_type":"stream","name":"stdout","text":["Downloading http://yann.lecun.com/exdb/mnist/train-images-idx3-ubyte.gz\n","Downloading http://yann.lecun.com/exdb/mnist/train-images-idx3-ubyte.gz to ./datasets/MNIST/raw/train-images-idx3-ubyte.gz\n"]},{"output_type":"display_data","data":{"text/plain":["  0%|          | 0/9912422 [00:00<?, ?it/s]"],"application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"5bf548a0994449b2a110ec9767f773b4"}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Extracting ./datasets/MNIST/raw/train-images-idx3-ubyte.gz to ./datasets/MNIST/raw\n","\n","Downloading http://yann.lecun.com/exdb/mnist/train-labels-idx1-ubyte.gz\n","Downloading http://yann.lecun.com/exdb/mnist/train-labels-idx1-ubyte.gz to ./datasets/MNIST/raw/train-labels-idx1-ubyte.gz\n"]},{"output_type":"display_data","data":{"text/plain":["  0%|          | 0/28881 [00:00<?, ?it/s]"],"application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"8660dbfbba694cfc91f20c80fd28e7c8"}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Extracting ./datasets/MNIST/raw/train-labels-idx1-ubyte.gz to ./datasets/MNIST/raw\n","\n","Downloading http://yann.lecun.com/exdb/mnist/t10k-images-idx3-ubyte.gz\n","Downloading http://yann.lecun.com/exdb/mnist/t10k-images-idx3-ubyte.gz to ./datasets/MNIST/raw/t10k-images-idx3-ubyte.gz\n"]},{"output_type":"display_data","data":{"text/plain":["  0%|          | 0/1648877 [00:00<?, ?it/s]"],"application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"5f9f4a43db004ca084aeee6d3c1bab14"}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Extracting ./datasets/MNIST/raw/t10k-images-idx3-ubyte.gz to ./datasets/MNIST/raw\n","\n","Downloading http://yann.lecun.com/exdb/mnist/t10k-labels-idx1-ubyte.gz\n","Downloading http://yann.lecun.com/exdb/mnist/t10k-labels-idx1-ubyte.gz to ./datasets/MNIST/raw/t10k-labels-idx1-ubyte.gz\n"]},{"output_type":"display_data","data":{"text/plain":["  0%|          | 0/4542 [00:00<?, ?it/s]"],"application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"e8b5645b8bc844ebaa98209f56d3636d"}},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Extracting ./datasets/MNIST/raw/t10k-labels-idx1-ubyte.gz to ./datasets/MNIST/raw\n","\n"]}]},{"cell_type":"markdown","metadata":{"id":"bJn4NEJLPK9p"},"source":["3. Define Dataloader"]},{"cell_type":"code","source":["len(train_data), len(test_data)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"W1Ug1_JEihDO","executionInfo":{"status":"ok","timestamp":1668100534586,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}},"outputId":"1130fc5e-364f-42f4-ebc8-028f6c30f31e"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(60000, 10000)"]},"metadata":{},"execution_count":30}]},{"cell_type":"code","metadata":{"id":"iB9f8STkO5WH","executionInfo":{"status":"ok","timestamp":1669312257884,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["train_loader = torch.utils.data.DataLoader(dataset=train_data,\n","                                          batch_size=batch_size,\n","                                          shuffle=True)\n","test_loader = torch.utils.data.DataLoader(dataset=test_data,\n","                                          batch_size=batch_size,\n","                                          shuffle=False)             # torch 의 data loader를 그대로 불러와 사용"],"execution_count":4,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"8hGHiyIqP1gs"},"source":["4. Define Model"]},{"cell_type":"code","metadata":{"id":"47eei2zMPOKj"},"source":["class ConvNetStep(nn.Module):\n","  def __init__(self, num_classes=10):\n","    super(ConvNetStep, self).__init__()\n","    self.layer1 = nn.Sequential(\n","        nn.Conv2d(in_channels=in_channel, out_channels=16, kernel_size=5, stride=1, padding=2),\n","        nn.BatchNorm2d(num_features=16),\n","        nn.ReLU(),\n","        nn.MaxPool2d(kernel_size=max_pool_kernel)\n","    )\n","    self.layer2 = nn.Sequential(\n","        nn.Conv2d(in_channels=16, out_channels=32, kernel_size=5, stride=1, padding=2),\n","        nn.BatchNorm2d(num_features=32),\n","        nn.ReLU(),\n","        nn.MaxPool2d(kernel_size=max_pool_kernel)\n","    )\n","    self.fc1 = nn.Linear(in_features=32*7*7, out_features=120)\n","    self.fc2 = nn.Linear(in_features=120, out_features=num_classes)\n","\n","  def forward1(self, x):\n","    x = self.layer1(x)\n","    return x\n","  \n","  def forward2(self, x):\n","    x = self.layer2(x)\n","    return x\n","\n","  def forward3(self, x):\n","    x = x.reshape(x.size(0),-1)\n","    return self.fc1(x)\n","\n","  def forward4(self, x):\n","    return self.fc2(x)\n","\n","  def forward(self, x):    # 실제 학습 시에는 이 함수만 사용\n","    x = self.layer1(x)\n","    x = self.layer2(x)\n","\n","    x = F.relu(x)\n","    x = x.reshape(x.size(0),-1)\n","    x = F.relu(self.fc1(x))\n","    x = self.fc2(x)\n","    return x\n","\n","model = ConvNetStep()"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"TYK_BPbmQ8jG"},"source":["4.1 Inside CNN"]},{"cell_type":"markdown","metadata":{"id":"Fgx1ehPgRCE7"},"source":["4.1.1 Row Image (MNIST)"]},{"cell_type":"code","metadata":{"id":"3rO-slIaP6lZ"},"source":["def image_show(tensor_image):\n","  image = tensor_image.reshape(tensor_image.size()[1], tensor_image.size()[2])    # width x height\n","  imshow(image, cmap='gray')\n","\n","images, labels = next(iter(train_loader))\n","image1, label1 = images[0], labels[0]\n","image2, label2 = images[1], labels[1]"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":299},"id":"BS4mJz7KRHvx","outputId":"a988d278-64ee-4b05-c9aa-4e48ef134c98","executionInfo":{"status":"ok","timestamp":1668100129087,"user_tz":-540,"elapsed":556,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["image_show(image1)\n","plt.title(label1)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'tensor(9)')"]},"metadata":{},"execution_count":7},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":299},"id":"E3xPqhwNRb6D","outputId":"6976dfbd-e2c9-4b3f-8a97-566aea0fe554","executionInfo":{"status":"ok","timestamp":1668100130166,"user_tz":-540,"elapsed":559,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["image_show(image2)\n","plt.title(label2)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'tensor(0)')"]},"metadata":{},"execution_count":8},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"5qStoh8CUvAY"},"source":["4.1.2 After 1st convolution layer"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"R9GS7IGrURDB","outputId":"97253e70-8020-414b-cc91-82fd5110f0a3","executionInfo":{"status":"ok","timestamp":1668100222128,"user_tz":-540,"elapsed":3,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["output1 = model.forward1(images)\n","print(f\"{images.size()} --> {output1.size()}\")"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([50, 1, 28, 28]) --> torch.Size([50, 16, 14, 14])\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"3QUqYQFJVF_6","outputId":"117c2d4e-2057-46ae-fc1b-db99509cfc26","executionInfo":{"status":"ok","timestamp":1668100250090,"user_tz":-540,"elapsed":521,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["image1, image2 = output1[0], output1[1]\n","print(image1.size(), image2.size())"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([16, 14, 14]) torch.Size([16, 14, 14])\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":96},"id":"uZPNYz5XXuAL","outputId":"6a22cffc-d002-494b-a930-4472f920ecd1","executionInfo":{"status":"ok","timestamp":1668100273035,"user_tz":-540,"elapsed":2116,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["fig = plt.figure(figsize=(30,30))\n","\n","for i in range(len(image1)):\n","  plt.subplot(1,len(image1),i+1)\n","  plt.imshow(image1[i].detach().numpy(), cmap='gray')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2160x2160 with 16 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= plt.figure(figsize=(30,30))\n","\n","for i in range(len(image2)):\n","  plt.subplot(1,len(image2),i+1)\n","  plt.imshow(image2[i].detach().numpy(), cmap='gray')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2160x2160 with 16 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After 2nd convolution layer"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"exj_V6jxZAVb","outputId":"3cfab339-5d09-4de7-f839-546bc20d39ef","executionInfo":{"status":"ok","timestamp":1668100320462,"user_tz":-540,"elapsed":3,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["output2 = model.forward2(output1)\n","print(f\"{output1.size()} --> {output2.size()}\")"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([50, 16, 14, 14]) --> torch.Size([50, 32, 7, 7])\n"]}]},{"cell_type":"code","metadata":{"id":"uQKoDnwibnlG"},"source":["image1, image2 = output2[0], output2[1]"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":67},"id":"nq71dfVRaCFs","outputId":"5a705d99-cd8f-4ae3-d563-4e91246626ac","executionInfo":{"status":"ok","timestamp":1668100330345,"user_tz":-540,"elapsed":3531,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["fig = plt.figure(figsize=(30,30))\n","\n","for i in range(len(image1)):\n","  plt.subplot(1,len(image1),i+1)\n","  plt.imshow(image1[i].detach().numpy(), cmap='gray')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2160x2160 with 32 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":67},"id":"69afjooHapGT","outputId":"0ecec2b4-067b-4ad1-af71-1acc85a3d186","executionInfo":{"status":"ok","timestamp":1668100339186,"user_tz":-540,"elapsed":3295,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["fig = plt.figure(figsize=(30,30))\n","\n","for i in range(len(image2)):\n","  plt.subplot(1,len(image2),i+1)\n","  plt.imshow(image2[i].detach().numpy(), cmap='gray')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2160x2160 with 32 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAABqUAAABMCAYAAADk1b3TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO2deXgUVbrG30rSWSERSNiVfRERFQFZRHRkFJcZHWTu1WcUl5lBcWQAL6iDg9fRcRCX6zLOVcHxuqMi4sYVFRQUZBEYZN9kEUOQLZA9naXuH0m1Tff3VXeaNEmd+/6ex8fmrT791ZtT9Z3vnOqusmzbBiGEEEIIIYQQQgghhBBCCCHxJKGhd4AQQgghhBBCCCGEEEIIIYSYDy9KEUIIIYQQQgghhBBCCCGEkLjDi1KEEEIIIYQQQgghhBBCCCEk7vCiFCGEEEIIIYQQQgghhBBCCIk7vChFCCGEEEIIIYQQQgghhBBC4g4vShFCCCGEEEIIIYQQQgghhJC4E9VFKcuyRliWtdWyrB2WZd0T7506GZjmyTQ/gHmeTPMDmOfJND8APXkB0/wA5nkyzQ9AT17AND+AeZ5M8wPQkxcwzQ9gnifT/ADmeTLND0BPXsA0P4B5nkzzA9CTFzDNT7RYtm27v8GyEgFsA/BzAD8A+AbAdbZtb9LaJCYm2klJSdJnqXFatWol6k2aNNH2S9QLCwvVGM4+2baNvXv3ok2bNsjPz0dRUdE6uHjy+Xx2ampqmJ6YmKjGqqioEPWysjJRlz7f7f0AkJWVBaDGT0FBAZo0aYKEhAQcPXq0CkAftz6yLMtOSAi/JunWR1VVVaKekZGhxRD1tLQ0NUZ5eTmAGk9FRUXIyMiAZVkoLCx09WRZlnggu/WRtn+az2bNmol606ZN1Rj5+fkA6u6ndv/EPnI7ZyOdz/VBSkpKIJbf70dycjIAwO/3R+Up1nihaH93LWe0aNFCjbFnzx7Yto38/HxkZWUhISEBR44cgW3bZ9S3n/pCO++An45hp498Ph8sy0J5eXlc+sjn87nuRyjV1dV1DeFGTLkhFrR8ovmMkbj0kVsuFHfiJHqqzz5yxsVQiouLRb2ysjKWMDHnbydfStQ1f2tjmFvd4EJETykpKXZ6enp4Q5djRfNUWlqqxRB1t79bcKzCwkJkZGSgrKwMFRUVrrVdUlKSLX2uWx2kHS9+vz/i/kWLU2vEUtslJCTYdT3X64r2+U79JhFr3aD1kdsYotWY2rGo6UVFRWqM4La2bQeOGdu2I/ZRUlKSLY2Z2jwgFrS/weHDh9U2wX1UXFyM9PR0WJaFoqKiuIxJUn4EgLZt29bp/Xv37lVjuORU19yg+XHLDSej/nbyr23bKCsrQ0pKCizLQmlpaVTHnXQuaTkX0I8j7fzT6m+3v82+ffsC76lLvRpLbpDGL0DvVy3fazUv4HqOxXweaX9XQO8jbd+18bqgoECN4UJMtV0sx5y0rgQAhw4dEnW3PnK2xXIeNeS8L0bi4kk7JrV+0s4xt9xw9OhRbZNr/k5OThZr1VhqY22u7baWpeH8zWzbxq5du9C+fXv4fD5s27atURx3Wp3t1kfOuFzX2u5k+NH6zq1e19ZvEafzSPuba/Wgtvbl1kdOLRvrWqSiq/G0Wk0bf7Wcoc3bgZ/6SfAdU22n7TOg1xTafmufFeM8Meb1Brc5hbZNGze1esLtuHPWwIU2h2zbzgnV5b/m8QwAsMO27Z0AYFnWmwCuAuBW+KJ9+/ZhuluHT5o0SdQHDx4s6tqkePHixWqMli1bAgC2bt2Kt99+G1OnTsVdd92FoqIiV0+pqak4++yzw/TmzZursZwiO5TNmzeL+umnn16n9wPA8OHDAdQUwBs3bsQFF1wAAJg9e/Z+ROijhIQEcUDVTjAAOHbsmKifeeaZoq4lWu39ALBz504ANQfyjh070L9/fwDAxx9/HNGThLZACehetcL8sssuE/ULL7xQjTFnzhwA4X7mz58fVR9JRZ/LgKku9NUnp556aiDWkSNH0K5dOwDAjh07YuqjaOOFov3dhw4dKuqjR49WY4wZMwY//vgjVq9ejcsvvxwA8Prrr6OkpKTe/dQXZ511lrrNOYZLSkpw4MABdOzYEQCwYcOGuPRRdna2qGs5o6SkpD7Dx8WTRGZmpqhrA2+MxMWPWy6UOHLkSH2GP2l9NGzYMFFftmyZqB88eDCWMFHlb6kAP+2009QPrWvBqi3sbNy4sU6fU0tET+np6bjooovCdLfFe21M0mqbTp06iXqHDh3UGA6HDx/Gpk2bMHToUCxcuBBHjx51re2Sk5PRo0ePMN2tVtXOi927d0fcv2i59NJLAdQstm3YsCEw1r355psR+ygxMVGsTd0mkHX9koD2BZ1t27apbWKtG7Q+cqt1evXqJeqaT22hSssZwE8TtKqqKlRUVAQmeCUlJRH7yOfzBcbkYLR5AKBP/LS5kPZZb7zxhhrDOceOHTuGXbt2BeY9X3zxRVzyt7ZA8R//8R+irk2i//jHP6oxXOrliHNZCbeL424XZeuL3r17A6j5AmZubi569uwJAFi5cmXEPkpOTkb37t3DdC3nAkCfPn1EXTtnBg4cKOpuY9sDDzwAoKYuPHjwYOA43LRpU0y5wa2+7Nu3r6hr80HtAlNOTth6SoBXXnlF2xTzeSStQUTatn//flHX5riffvppXXcLiNGT23iu5W9nDSeUf/7zn6Lu1kdt2rQBUFO75OXloVu3bgCA1atXn7Ra9SQSF0/auaR9AVRb7HRb05g7d662yTV/p6eni2sBW7ZsUWNpdd+5554r6tp557ZIO2jQIADAhg0b8NJLL+Gxxx4DAAwbNqxRHHetW7cWdbcv7znj+MlaE6oL2nqj2xdZcnNztU0x+3FbW9W+hKPVcNoc1+08WrJkCYCai7w7duxAv379AACffPJJXDxpF860dSttDembb75RY+Tl5QGoqesrKyuRnJwMv98P27Yj1nZS3ex2kVmb42q5TrsY6qxx15Go1huk+tipDyW040s7HrUvf7jlhrffflvUy8vL90h6NLfvawcg+Oz9oVbzLEeOHAk9ATztqbS0NHRy54eH/QA1E56QE8zTnsrLy0MTnqf9ADWLMSFFpqc9FRcXH3cRsLZA9awfoKZIMamPFEzzZJofwDxPpvkBDPAk1EKs7RoZptUNwb+SqsXTfoCaetWk+lvB07mhoqIi9EsJnu+jyspKo3KDgGl+AI974hzJs3g6fx86dCj0Iqvn+8i02k7A835MW1sFxBrc07lBwPN9FC3R/FIqKizLGgNgDOB+9dQrBPtx+5m5lwj25PatWa8Q7McUTOsjwLx+Ms0PYJ4n0/wA5nkyzQ9gfv6O5XYljY1gP2639/ESwZ7cfuXlFUzvIxPmSIB5Odw0P4B555JpfgDzjjvT/AD05AVMq1UBs/vIFOip8WOaH8DM9YZoZq+5AILvn9W+VjsO27Zn2Lbdz7btfo19Uty8efPQn6GFeQr209gL37S0tNDbFSQjQh819gM4NTU19PYQYZ6C/ZzUnYuBlJSU0NvNeL6PEhMTQ38uHNHTSdu5GMjIyDjuJ7q1t/rxrB+gZtJuUh8peDo3CLCPGj+ez98CET019i/oCLWQa23X2C8OxFLbNfb6O5q6wUt9ZFlW6O16IvZRY/eUkpISsf4GPJ/DXXNDA+1T1Ph8vtDbBXr+uEtKSjIqNwiYeB55urb7/zpHAjzvyTV/R/MM0oYkOzsbBw4cCJY830d1re1O6s7VD57vo2jWVgFveRJqcE/XdgImrjeIRDN7/QZAN8uyOlmWlQzgWgAfxHe34kvXrl2Rl5eHH3/80TmQPe2pWbNmKCoqQnFxsbOQ3hwe9gPUPP+kuLgYJSUlRnjKyspCSUmJMX6AmsGtoqICFRUVznnkaU85OTkoKChAQUEBqqqqnAm/Z/0ANYua5eXl8Pv9xhx3AqZ5Ms0PYJ4n0/wABngKroVMqO2aN2+OwsJCFBUVOQ+n93wfmVY3JCQkwLZtVFdXG+EHqHkeQGlpKUpLS02uGzydG5o0aYLy8nKUl5cb00dpaWnw+/3OcyEAAzyFYJofwOOeMjIyUFZWZtR5JGCiJ0/n7549e+KHH35AXl6ecyHH831kWm0n4Hk/mZmZxq1FOhelnP/g8dwg4Pk+ipaIXzOybbvSsqw7AHwCIBHAi7Ztuz5F2+/3iw/zevTRR9U2tRPuMK644gpRd3tInUbwA7pbt26NSZMmOVeM33bzVFlZKT7c2nlwXF3QHsirPTTW7cHHr7766nH//t///V/n5ZFIfVRdXY3i4mK3t4ShPZhUe+j19u3bRd3tZ9XBD/Br3bo1PvroIyfJRPQkoT2U3I3vv/9e1D/++GNR1x4MCQDz588/7t9ffvllYNei8SM9QE56sK/D2rVrI33kCRN83DRt2hQ//PCD88+Y+ggARowYoW675JJLRP2OO+4Q9dGjR4t6q1at1BgzZ84MvH7rrbcCr2P1EwvTpk0T9aC/73FoD4wEgKeffhpAzWDdtm1b7N69+4TOI8D9OM/KyhJ150GUoWgPkF+0aJEaY+HChYHXhw4dwrZt22DbNkpLS109+Xw+8SGa2r4BwKhRo0T92LFjon7LLbeI+rx589QYr732mrYp5j5yHjAroX2TRssnn3zyiajPmTNHjRH8N920aRPmzp2L6upqHD58OGZPGjfffLOoaw/3PnjwYJ1jBI95zkN8AaCysjKin/T0dPFB0Nr4AgBnnHGGqGsPgR0/fryou9Vas2bN0jZF9JSQkCA+wNXtb7tixQpR1x7KG0vNFxw/JycHn3/+ufP5rrVdeno6+vTpE6aH/Kr5OLT+e/nll0VdO78mTJigxrjtttsCr/v27YtnnnnGmUBG7KOqqirk5+eH6W4PQa4r2gPnr7rqKrVNcP0dnBsQwZNlWeLt7saOHavG0saX4LE9mF/96lei/tBDD6kxFi9eHHidl5eHb7/9NuoxNjMzE5deemmYvm/fPrWNNt9wG8fqSvC3y7Ozs7F69WrnnxE9+Xw+scY65ZRT1DZaDTd58mRR13LJX/7yFzWGVDeUlZXBtm3X3KAR8uukE+LBBx8U9alTp6ptgu/c0blzZ2zdutX5Z8Q+sixLvOXd0KFD1TZfffWVqPfv31/UR44c6bYLUbFjxw7npaun6upqMVd3795d/Wxt/rl582ZR18ajGTNmqDFciNhHWVlZuOCCC8L0AQMGqG20ulk7Vt1qeY3gmjg43xUXF8dU22m1DgDMnTtX1K+//npRf/LJJ0X96NGjaoyguTh69eoVmE8gij5KTEwU81rwM4lDCflVTIALL7xQ1CdOnCjq0tjucN999wVeFxUVBWJWVFTEXH9rYz2gj5svvfSSqGuetLUiQD8WEMW6XcgdkQDo8wMAuPzyy0Vd+0Vm0JrbcaxcuVKNEbwGOGTIEIwdO/aE5+axcM8994j6119/LepXXnml+lnB9VbLli2xbt06558xeXL71YfWF36/X9QPHz4s6sH1WyiPP/544HV+fj527doF27ZRXl4e1Rgr7aPbL/d69+4t6j179hT1Xbt2ibrbuRq8jpSTk4MVK1ac8HHn1k+PPfaYqGvrqG3atBH14DXhUL777rvA6yNHjmDnzp3OBSrX3KD1UfPmzdVYhYWFov7MM8+I+rhx49TP0gheBz148CA2b94c1RoXUHNBWDqOmjZtqrbRanMt54bctSOANJdxqGu9HNVv323b/l8Acvb1KC1atECLFi2watUqFBQU6DNPb6KPuh6iR48egQWdKVOmGOEpCCP8pKamBh6amJeXZ4Qn02jatGlgYNqwYYMRfZSdnR1YqF+wYIERnoIwwk+vXr3Qq1cvAMCECRM87yktLS1w0W/Pnj2e9yNghCcn3+3YsQOlpaWer+0GDhyIgQMHAgAuvPBCI/rItNzQpk2bwKT6nXfe8bwfoGaB1Vlk3bJlixGenLph5cqVRsz7mjdvHlhIWbp0qRF9FIJpnozwY1q+y8nJQU5ODgDgs88+87wf4Pj8vXXrViM8BWPbtufzd5cuXdClSxcAwPTp043oo9atWwcues+dO9fznpo1axb44v3XX3/teT/A8WtCGzduNMKTUwutXbsWhYWFns8NwWPS/PnzjeijaGjcN58nhBBCCCGEEEIIIYQQQgghRsCLUoQQQgghhBBCCCGEEEIIISTu8KIUIYQQQgghhBBCCCGEEEIIiTu8KEUIIYQQQgghhBBCCCGEEELiDi9KEUIIIYQQQgghhBBCCCGEkLiTFI8PPe200zBlypQw/fDhw65tJDp16iTqCxcuFPWbbrpJjVFaWhqmVVdXq+938Pv92Lt3b5j+85//XG1zzz33iHpJSYmoP/jgg6I+c+ZMNcarr76qbosHe/bsEfVRo0aJ+siRI0X9oosuUmN06NBB1KXjKRrOOOMMdVt2draon3rqqaI+efJkUR8wYIAao7i4WNQzMjLUNg7Jycno3LlzmL527dqIbaNl4sSJov7EE0+obe677z5RHzt2bMR4OTk5uOaaa8L0yy67TG0jnbcA8NZbb4n63//+d1Hv2rWrGmPgwIFh2vr169X3RyIzM1Pd9vLLL4t6ly5dRP3OO+8U9X/84x9qjL/85S+ivmHDBrWNQ0JCAtLT08P0/fv3q21mzJgh6pWVlaIu/b3d3g8A5eXlor5gwQK1DQCkpqaKeeD3v/+92ub2228X9YqKClFv3769qH/++eeu+1bfuPXROeecI+ra3++RRx4R9bZt26oxmjdv7rJ3defXv/61um3x4sWiro3L2jE3fPhwNYb2N4iGlJQUdOzYMUxv3bq12qZfv36irtUNBw8eFPU33nhDjTFr1ix1WyQSEhLEsevbb79V2zz00EOi/u6774q6z+cT9S+++CKKPawbtm2LNeB7772ntrn//vtF/dlnnxV1rU+XL1+uxvjwww/VbZGwbVvNU/VFbm6uqHfv3l1tM378eFGfMGGCa6zs7GzcfPPNYXrTpk3VNlpt8Itf/ELUe/fuLernnXeeGmPfvn3qtkj4fD4xj7744otqm6qqKlFv166dqK9bt07UW7RoocbQavMtW7aobRyqq6vFeveBBx5Q22zcuFHUtbnD6aefLuputac2TsQD7Zxes2aNqGvjpdu416tXL1FfunRphL0D2rRpgz/96U9h+lVXXaW20eagWo6cN2+eqH/55ZdqDK1NpHrVsixYlhWmux3j2pywZ8+eov7UU0+J+qBBg9QY0npBtKSnp6Nv375h+pIlS9Q22lzlwIEDom7btqhLx4bD/Pnz1W1uJCcni/Xx3Llz1TabNm0Sdc1P//79RX3Hjh1qDG1c/uyzz9Q2DomJieL4s3v3brXNp59+Kura2KONsZdccoka44ILLhD1rVu3qm0cMjIycNZZZ4XpN954o9qmrKxM1AcPHizq2lqJVlOdCGVlZdi+fXuYXlRUpLaR1lsA4OGHH65TbLe6Qat3pk+fXqcYwfTp00fd9swzz4j60KFDRV3Lj27rXNraYCQSExPRpEmTqPcNAMaNGyfq77//vqj7/X5Rf/rpp9UY2rpdNGj1d6tWrdQ23bp1E/W0tDRR37Vrl6i75R9tXVOrwaJBW7cH9Jz8n//5n6KemJgo6tpaDABcd911YZp2fASTlpYm1pJXXnml2kabg2vx5syZI+rTpk1TY7jlpkgkJiYiKysrTL/77rvVNosWLRJ1tzUKCW0ciAX+UooQQgghhBBCCCGEEEIIIYTEHV6UIoQQQgghhBBCCCGEEEIIIXGHF6UIIYQQQgghhBBCCCGEEEJI3OFFKUIIIYQQQgghhBBCCCGEEBJ3eFGKEEIIIYQQQgghhBBCCCGExJ2keHyoZVnw+Xxh+qpVq9Q2U6ZMEfWSkhJR79Spk6jffffdaoz27duHaddff736fofq6moUFhaG6RdffLHaJjk5WdT/+te/ivrKlStF/dFHH424f/WJZVnqtnXr1on6/PnzRf35558X9RUrVqgxxo4d67J3OpZlITU1NUz/2c9+prbZsGGD+lkS2rGVnZ2txliyZIm6LRoqKyvr9P5vvvlG1D/88ENR1zw98cQTaozbbrtN1KPpuxYtWmD06NFheq9evdQ2rVu3FvVrrrlG1C+77DJRf+utt9QY+fn5YZqWk4JJSEhAkyZNwvSePXuqbS655BJRHzJkiKgfOXJE1CdOnKjGOHr0qLotEhkZGRg4cGCY7nbeavtYXl4u6h999JGojxo1So0xbdo0dZsbPp8POTk5YfqBAwfUNrZti/pTTz0l6gMGDBB1t31etmyZqGt5KRreeOMNdZs2xlx99dWivnnzZlG/4YYb1Bh79uxx2TudjIwMnHnmmWH62Wefrba59957RV1r89hjj4m629+sbdu2or579261jUNFRQUOHjwYprdo0UJtc+ONN4r63r17RV37G3Tt2lWNMXXqVFF/8MEH1TYO+fn5ePvtt8P0oqIitc2LL74o6gkJ8nei/vnPf4r6hAkT1BhPPvmkus2N9PR0nHvuuWG6VL86TJ8+XdQLCgpEvWnTpqIu1SsOjz/+uLotHmjnwOuvvy7qI0eOFPVHHnlEjfH+++/XfccAFBYWYtGiRWH67Nmz6/xZhw8fFvWFCxeKuts58fe//73O8R0SEhLE/pfmGQ7333+/qHfr1k3UmzdvLurS2O6QkpKibotESkoKunTpEqZ37txZbbN48WJR18aRQ4cOifo777yjxpDGA7exPxLXXXeduk0bY7dv3y7qWl3uNr7EWgcBQFJSElq2bBmmu82btTmIds5ocy6387+u8xyH7Oxs/Pa3vw3TJ02apLYZPny4qGt+tLFAe/+JYts2ysrKwvRPPvmkzp/16quvivry5ctFfcGCBepn7dixo87xAcDv92Pnzp1hutscafXq1aKuzQ+040er+QB9PSNapPqle/fu6vu1Nas5c+aI+rhx4+q8T+np6XVu45CRkYHzzjsvTB8zZoza5pZbbhF1zZM293VbO3DLTW5UVVWp472GVtdo51Fubq6oT548WY2hrWdEgzZP+uUvf6m20Y47bZ1k06ZNou6Wv6urq9VtbiQmJuKUU04J06+88kq1jVb3afPVpUuXirrbMff555+r22JFm8MBwNdffy3qWq3x/fffi7rbcRdLvRwJt8/86quvRF2bx3366aei7ubpz3/+c5jmVkM7ZGZmYsSIEWG6tJbncNNNN4n6u+++K+pZWVmiPmvWLDWGVstHQ0pKiniua8cKoJ8b7dq1E3WtjnXzVFf4SylCCCGEEEIIIYQQQgghhBASd3hRihBCCCGEEEIIIYQQQgghhMQdXpQihBBCCCGEEEIIIYQQQgghcYcXpQghhBBCCCGEEEIIIYQQQkjc4UUpQgghhBBCCCGEEEIIIYQQEneS4vGhhw4dwsyZM8ODJenhbr75ZlE/fPiwqG/YsEHU+/btq8b45S9/GaYdOHBAfb9D586d8be//S1Mr6qqUtsMHTo04ucG8/vf/17UTzvtNLXNwIEDRX358uV1ih2Mbdvqtt69e4v6m2++KerffvutqCcmJqox1q1b57J3OrZto7S0NEx/99131Ta5ubmi/tRTT4l6enp6nT4HAJ577jl1WyQsy0JKSkqdPrNbt26i/uijj4r6Aw88IOpTp05VYyxYsEDdFomSkhKsXbs2TN+2bZvapm3btqJ+9913i7plWaI+b948NYYUX8s9wSQkJCA1NTVM/9nPfqa2+a//+i9R37hxo6g/9thjov7HP/5RjZGdna1ui0RiYiIyMzPD9IKCArXNqaeeKuoffPCBqN96662iPmrUKDXGzp071W1upKenY8CAAWG69vd22w8pxwDAd999J+pLlixRY2hj2ImQlpambsvJyRF1LZ9ofXruueeqMR5//HGXvdNJT08XP3fKlClqm6ysLFFv06aNqK9cuVLU3eqS3bt3q9siUVFRgby8vDD9pptuUtu89tproq79XadNmybqbjl67ty56rZIZGZm4uKLLw7T3c7NNWvWiPrzzz8v6h06dBD1Xbt2qTGk+ikany1btsQdd9wRpo8bN05t45YHJZo1aybqZWVlahvtGJaOp2jx+XzqthdffFHUt2zZIuraWCrV2A6zZs1y2Tud/Px8zJ49u05t/vCHP4j6N998I+pabmjZsqUao1+/fnXap2AqKiqimnsEs2jRIlEvKSkR9dGjR4u627xFqmWipWvXrvjwww/D9DvvvFNto837Pv74Y1Ffv369qLvVW1dccUWY5jYuR8LtONbOsVdeeUXUmzRpIuqDBw9WY/j9fpe9c+fQoUN44YUXwvSXX35ZbaPVaueff76oa3XpjBkz1BjaXDYSycnJ6NSpU5i+detWtc3ChQvrFEOqHQFg7969apujR4/WKUYwlmWJdZz29wb0elWr7VasWCHqbjG0PBOJpk2birmyY8eOahst37du3VrUJ0+eLOqHDh1SY0yfPl3Uf/Ob36htHJo0aYJBgwaF6dXV1WobrSbTag1tLUsbBwDgmmuuUbdFolWrVuK56zYP3r9/v6j36dNH1LWx51//+lcUexh/Nm/eLOrauoq29vPwww+rMepaywSTkpIi5ruMjAy1TdeuXUVdW4fT1r+kNQEHbX0pEmlpaeK6ott5NGzYMFGXxjUAWLZsmahrtS2g14PRkJycLOYpt3nDkSNHRF0b66+//npRb9++vRrDbb4RDdLx4raWq63pSTUiAFx++eWirq3zAcAjjzyibnMjOTlZXFd89dVX1TbnnHOOqGtttLrh3nvvVWNcffXVov7ee++pbRx8Pp943Gk1NgAsXbpU1LU6Wzser7vuOjVGXed9/KUUIYQQQgghhBBCCCGEEEIIiTu8KEUIIYQQQgghhBBCCCGEEELiDi9KEUIIIYQQQgghhBBCCCGEkLjDi1KEEEIIIYQQQgghhBBCCCEk7vCiFCGEEEIIIYQQQgghhBBCCIk7SdG8ybKs3QAKAVQBqLRtu5/b+30+H1q3bh2mv/fee2qb7du3i3pBQYGo33fffaK+fPlyNUZiYmLgdW5uLhISElBZWQnLsla5efrxx9d3Ev4AABaSSURBVB/x5JNPhumXXnqpGqtjx46ivmvXLlEvKioS9YkTJ6oxcnJyAq8XLFiApKQkWJYFAKerjU6A//7v/xb1hx56SNRHjBgh6nfeeaca45NPPgm8njlzJpKTk6PylJaWhm7duoXp3333ndqmoqJC1P/nf/5H1J944glR145dAHj66acDr++9916kpqYiISEBiKKPbNtGeXl5mN6mTRu1jXa+lJaWivr5558v6tXV1WqM8ePHB15v377d8QNE4SkxMRGnnHJKmD5hwgS1jdYft9xyi6jv2bNH1A8ePKjGaNGiReB1fn4+LMtCVVVVxNyQlJSEli1bhunLli1TY61cuVLUR48eLerbtm0T9euuu06NcfjwYW1TxD4qLy/Hjh07wvQePXqobdavXy/qN910k7wTp8u7sWLFCjXGqlWrAq/XrFmDxMTEqHJDVlaWmIsGDRqktrn22mtF/cEHHxT1M888U9SbN2+uxgjODSHEnL8/++wzddtll10m6rNnzxb19u3bi/q0adPUGEePHtU2uXry+/34/vvvw/T3339fbaPlul69eon64MGDRV06fx3S09MDr5ctW4akpJqSqbi4OGIf+f1+7N69O0zX9hsAFi9eLOp/+9vfRD0o9x5HkyZN1BgbN24MvLZtO3hTRE+tW7fG3XffHab/9re/jdQ0DKm/AWDMmDGiXnuui3zwwQeB17/73e+QlpaGgoKCiPnbsqxAn0Yb64ILLhD1sWPHirp0DADAzp071Rg//vhj4PW+ffvqNMZqSPWRw1VXXSXqfr9f1A8dOiTq2rkHAIWFhYHXr7zyCnw+X9S1nTT2uJ23q1evFvUffvhB1C+66CJRnzVrlhqjVatWgdcdO3ZE06ZNnTlGxD4qKCg4rtaNhkWLFtVJ1/jzn/+sbguugx544AGkpqZGPacoKCgQxx+3+vjZZ58Vda1umD9/fp3eDwBffvll4PX3338Py7Kimve1a9cOf/jDH8L0zp07q7G++uorUdfmDiH5N4BbrRocY8mSJVHXQYA+zg4ZMkRto9Wfffv2FfXg8SWYCy+8UI0RXJs8/PDDSElJicqTbdvi3Oauu+5yayYyfPjwiPsWzJ/+9Cf1s4LH5ZC5VMQ+OnDggHi8aDUmoOdjbRyrrKwU9ZKSEjVGcM2+bds2JCQkwLIslJWVuXqKZT3oyJEjoq4di88995yoP//882qM4DnS/fffj5SUlKjn5mVlZWJe27Bhg9pGG0vWrVsn6lp/a/NHwLX+jzk3bNq0SW3z8ccfi7o2Nw2ewwXz5ptvRtq9MCLlbw2381ZbL9LG2BkzZoi62zw2uAZZvHhxndbtqqurxZqsadOmahtpDQkA7rnnHlFv1qyZqLsd2y7HSERPUv2tnRMAkJmZKerFxcWinpKSIuq/+93v1BjaGIYo/FRVVeHYsWNh+m233aa20daL9u/fL+raHNItp2qfhSjnFFVVVWFaRkaG+n6tptD2UasTtfkToI+zkXJDdXW1ONZdc801aqwFCxaIurZ2r9X3qampaozgNYpp06ZFXQcBNeuW77zzTpjutgb++uuvR/rY4+jTp4+ou83FtBpEq33r8kupi2zbPjuWQaCx0rJlS/h8PpjiadCgQRg2bBgAbG7ofakvfv3rXzuL9UZ4mjhxIu69917AED8A0KFDB3Tp0gUwyFNmZiYSExONyQ1BGNNHvXr1cgZJYzzVYpofwBBPZ511Fvr37w8Y4sehtnA0xtNDDz2E0047zZj8nZOT4yzsGdNHV199tXPx3whPX3zxBdauXQsY4gcAbr/9dkyePBkwyFPbtm2Nmvede+65GDhwIGBQH40ZM8b5opoRnizLchbQjPAD1FyIN2neN27cOOcLN0b4CcE4T6bk7/79+zuL0cb1EczzZJofwCBPzgUQU3LDrbfe6vwwxZg+igRv30cIIYQQQgghhBBCCCGEEELiTlS37wNgA/jUsiwbwPO2bYf9ZtWyrDEAxgA1t9vwAgcOHHBu4zAm1FOwn+Tk5AbZv7qyfPly50pxtrQ92JNXmDNnjvMyzFOwH5/PdxL3KjYsywq+ZVfEPpJ+1twYCfrJf0RP2dniWxodBQUFzu37XHODF467ECL2kRc8WZaFzZs3q/ku2E/btm1P8t6dMMbk7yBc+8gLNYNlWcG3lYjYR263gGts1P6UPqIn6TY8jZH77rsPubm5EfP3aaed1iD7V1eCbudlTG744IMPosrfXhmPLrnkkqjrby/MKSzLwnPPPRe1p+Bb/zVm8vLyUFFRETE3SLeZboz861//cl5G7CPtVkaNjRdeeCGq3OCVY8627ajHWK/UDUG3SXfto+BbIDdmgh5PYET+DiGip+Db0XqBSPnbC1iWhVWrVkU9xnphnhSC5+d9IRiTv4MwZk7h3BLOlNpu5syZUecGL8yToiHaX0qdb9t2XwCXAfiDZVlhN9W3bXuGbdv9bNvu54XCt1WrVmjTpo2z8B/mKdiPFzp7yJAhGDZsGM477zwAaBmpj07+Htada6+9FjfccINzn88wT8F+vHABZ9KkSZgyZQruuOMOIIo+8oKnjh07onPnzs7iXkRPbvc+bixkZmbilFNOcW634Zobgp9T5xGMOO7OOOMM9OnTBz179gQi5AbtHtmNGCPydwiufeSFSf4555yDfv36ObeMjNhH2vOeGhtBk6iInrxwLk2fPh1PPvmk8+xF1/wd/FzOxkrLli3RunVr5xmiRuSGkSNH4t///d9x5ZVXAgbUdkuWLMGaNWucZ2wYMcaOGzcOkyZNcp7xZkRt17ZtW7Rv3z6qeZ/b8xIaC/369cN5552Hc845B4iij7wwzo4dOxbjx493nhnrmhu054s0Jpxb99WOs0bUDZ06dUKXLl3QoUMHIEIfuT1Do7EwYcIE3HXXXc5zIY3I3yFE9OSVhdogXPN3Q+1UXRgwYAAGDx7sPJ8vYh95YW01BM/P+0IwIn+HYMScIugWuUCE3OD2zOXGwu23344JEyY4z2uO2EceXIsUierssW07t/b/BwDMBTAgnjt1MnCKitpC0fOenG8c1A5aR+FxP8BPD2+s/aaV5z05RV/tRMrzfoCfrs7Xnk9GeHKSuym5IQQj+sgpZmuPPyM8BWGaH8AAT86EsPbY87wf4KcLUrX/N8KT8+352jHJ8/nbqVVrxyUj+siZFJpS27Vr1w5A4IG/nvcD/FSv1tbhRngybd7nLPibNCZlZWUBCOQIz3sycYw1bd5nYq4LwURPxuRvk9btQjDNk2l+AEM8hfxCzfO5wbQ6KFoiXpSyLCvDsqymzmsAlwDYEO8diyfV1dWorq4GEPi5n6c9VVZWorKyMvAaQCY87AcAKioq4Pf7A6/hcU/l5eUoKysLvIbH/QA151FVVVXgNQzwFHSbDSNyg4Dn+6iqqipw3NX+3/OeQjDND+BxT1VVVYEx1pRjTsh1nvdUVlaGkpISAIExydP5O7hWNWWMNa22Ky4uRmFhYeA1PO4HMLdeNWneZ+KY5Pf7nePNyRGe9mTiGGvavM/EXCdgoidP528T1+0ETPNkmh/AAE/B42wtns4Nfr8/MCaZUAfVBSukI8PfYFmdUXPVEah5BtUbtm0/5NYmJSXFlp7jMX78eLXN8OHDRT0/P1/UFy9eLOrTp09XYxQVFWmb/uzmKTU11e7YsWOY7na7Cu0nnCtXrlTb1CO5tm23d3tD7fPB6sQjjzwi6tpzgrp16ybqr7zyihpj8+bNAGoWlzZt2hTQS0pKXD35fD5b2o/9+/ersXr37i3qGzduFPVOnTqJ+gUXhP2qMoDzC7aCggLMnz8fQE0hn5+fH7GPfD6f3bx58zD94osvVtvceuutor5161ZRP3bsmKg7/SCxYsUKADXJcu/evQG9vLw8oqdOnTrZ999/f5j+7bffqm2CnsN1HM43CULRfsZ6+umnqzHWr18PoGZyX7uw5Ey8XHNDenq63b179zBdO/YB4KuvvhJ17Tzq0qWLqH/wwQdqjNpbV6GysvK4HFpZWRmxjxISEmzpNgG/+tWv1DaPP/64qH/33XeiPm7cOFHX8j1w3D3sQ3H1dOqpp9oTJ04M07XzHwByc3NF/ejRo6K+e/duUdeO3QjEJX8PGTJE1J0FhlC0vjh06JAaw2kjFImuntLT023pnBk4cKAaSzsvtH598cUXRf2LL75QYzjnkd/vD352XlS5zufz2dIzL3r16qW2Oeuss0RdGgcA/f7l//jHP9QYR44cAVDTR86kuPbfET21adPGvvHGG8P01157TW2jjZvBf89gzjjjDFF3+7stXboUQE3dsG3bNgBAaWkpbNt2zd9t27a1a2+PcBzOGCDx5Zdfivrq1avVNhJu+efw4cMAYsvfseSGESNGiLp2PO7bt0/UtTEZQGCSVVBQgAULFgCoqYWOHj3q6ik5OdmWnmUWXHuEouVd59gIRTuPSktL1RjOc76Ki4sDdb1t2ygsLIzYR5mZmbaU2zZs0Oed2hxJu4VZcP0cjFtOrb39IMrLy7Fr166AXlZWFtFTkyZN7DPPPDNMl84vhw8//FDUDxw4IOpaneh265JY532ZmZl27e3Qj+Ozzz5TYy1ZskTUtWdnvPXWW6LuNi93YgTnOtu2UVpaGrGPkpKSbGneqtU1saDViW63zHHGpJKSEqxatQpAjaeioiJXT4mJibb0uW5zpLlz56rb6oLbMde+fc0uV1RUBD8PEBUVFVH1kXQrtWuvvVZt44wXoQwaNEjUFy1aJOrOFzoknF9HFRcX16mPsrOz7V/84hdhunPxUeLss88WdefLDKFoY6/bLeleeuklbVPEPmrZsqU9atSoMN3JnxLaHEGqpwC9zp43b57brmlE9NSjRw876LlaAdasWaO2ycvLE/VnnnlG1Gu/hFJfuOZvn89nS7ebDj4fQ9HWD7XzQruN486dO9UYy5YtA1BzLDvzTNu24ff7Y67tbr75ZrWNVstefvnloj579mxRj8dx5/P5xFzndutcl3WAk0HMfeR2G1NtDq7NebS/QYzjeMyeevToobbp2rWrqDtrbaFodazb7RCDnvEcimtuaNWqlf2b3/wmTNfmdoBee2r1zg033CDqbtcA/vrXv2qbYq6/r7jiCrXN1KlTRb32dqJhaM+H1OZVgL52sWXLltXSrSEj3hjXtu2dAOSZqSFEusjmQfQrMR4hNTX1uBNjyZIlnvaUmZmJf/u3fwv8+9lnn/W0H6DmliHBC8ObNm3yvKfExMTA4FhQUIDKykpP54akpCQEPzclLy/P830kYJonz/uxLOu4hd7q6mpPe0pOTj6uyN64caOn/QA1fRT8vEy/3+95T6mpqc4zv7B+/XoUFRUxfzcyMjMzMXLkyMC/X3jhBU97ysjIwEUXXRT49/vvv+9pP0DN7YRqn9cIAFi7dq3nPYXi9XlfcK4DgOXLl3u+j9LT04/7kt+8efM87cnn8yH4C7p79uzxtB+gJt8NGzYs8O+PPvrI855CMM0PYKAnr+fv5OTk476wtWXLFuP6COYdd6b5AQz05PXcIGBcH2l47olshBBCCCGEEEIIIYQQQgghxHvwohQhhBBCCCGEEEIIIYQQQgiJO7woRQghhBBCCCGEEEIIIYQQQuIOL0oRQgghhBBCCCGEEEIIIYSQuGPZtl3/H2pZBwHsqf1nNoBD9R4kOqKJ3cG27Ry3NzQiP9HG95KnaGO7empEfqKN//+ujwDPefKSn2jje8kTc4NCI/IUjz6qy+fGA/aRgsc8eclPtPG95Im5QcG0PgI858lLfqKN7yVPrO0UGpEn5m8F0/oI8JwnL/mJNr6XPDE3KJjWR4DnPHnJT7TxveTphI67uFyUOi6AZa2ybbtfXIOcxNgN6Sde8dlH9YtpnuIV2zRPPO7qF9P8xCu+aX0Uz89tqNim+Ynn5zZUbOaG+oXHXcN9ZkPHNs0Tc0P9YpqfeMU3rY/i+bkNFds0P/H83IaKzdxQv/C4a7jPbOjYpnlibqhfTjQ2b99HCCGEEEIIIYQQQgghhBBC4g4vShFCCCGEEEIIIYQQQgghhJC4czIuSs04CTFOZuyG9BOv+Oyjxh/ftD6K5+c2VGwed40/NvvIG7FN82San3h+bkPFZm7wRmzTPJnmJ56f21CxmRsaf2z2kTdim+bJND/x/NyGis3c4I3YpnkyzU88P7ehYjM3NKLYcX+mFCGEEEIIIYQQQgghhBBCCCG8fR8hhBBCCCGEEEIIIYQQQgiJO3G7KGVZ1gjLsrZalrXDsqx74hXHJf5uy7LWW5a11rKsVfX0mQ3myTQ/tfGN8hQPP7Wfa5QnHnf1i2l+auMb5ck0P7XxjfLE/B31Z/K4q0dM81Mb3yhPzA1RfyaPu3rEND+18Y3yxNwQ9WfyuKtHTPNTG98oT6b5qY1vlCfm76g/k8ddPWKan9r4J+7Jtu16/w9AIoDvAHQGkAzgWwC94hHLZR92A8g2xZNpfkz0VN9+TPTU0H5M9GSaHxM9mebHRE/M343fj4meTPNjoifmhsbvx0RPpvkx0RNzQ+P3Y6In0/yY6Mk0PyZ6Yv5u/H5M9GSan/ryFK9fSg0AsMO27Z22bfsBvAngqjjFOlmY5sk0PwA9eQHT/ADmeTLND2CeJ9P8APTkBUzzA5jnyTQ/AD15AdP8AOZ5Ms0PQE9ewDQ/gHmeTPMDmOfJND8APXkB0/wA5nkywk+8Lkq1A7A36N8/1GonExvAp5ZlrbYsa0w9fF5DezLND2Cep/r2A5jnqaH9AOZ5Ms0PYJ4n0/wA5nli/o5MQ/sBzPNkmh/APE/MDZFpaD+AeZ5M8wOY54m5ITIN7Qcwz5NpfgDzPJnmBzDPE/N3ZBraD2CeJ9P8APXgKamed6gxcb5t27mWZbUE8JllWVts2/6yoXfqBDDND2CeJ9P8APTkBUzzA5jnyTQ/gHmeTPMD0JMXMM0PYJ4n0/wA9OQFTPMDmOfJND8APXkB0/wA5nkyzQ9gnifT/AD05AVM8wPUg6d4/VIqF8CpQf9uX6udNGzbzq39/wEAc1Hz07YToUE9meYHMM9THPwA5nnicVfPmOYHMM+TaX4A8zwxf0cFj7t6xjQ/gHmemBuigsddPWOaH8A8T8wNUcHjrp4xzQ9gnifT/ADmeWL+jgoed/WMaX6AevJkx+dhV0kAdgLohJ8euHVGPGIp8TMANA16/TWAEV71ZJofEz3Fw4+Jnnjc0c//N0+m+THRE/N34/djoifT/Jjoibmh8fsx0ZNpfkz0xNzQ+P2Y6Mk0PyZ6Ms2PiZ6Yvxu/HxM9meanPj3F5fZ9tm1XWpZ1B4BPACQCeNG27Y3xiKXQCsBcy7KAmo56w7bt+SfygQ3syTQ/gHme6t0PYJ4nHnf1jml+APM8meYHMM8T83cU8Lird0zzA5jnibkhCnjc1Tum+QHM88TcEAU87uod0/wA5nkyzQ9gnifm7yjgcVfvmOYHqCdPVu1VLUIIIYQQQgghhBBCCCGEEELiRryeKUUIIYQQQgghhBBCCCGEEEJIAF6UIoQQQgghhBBCCCGEEEIIIXGHF6UIIYQQQgghhBBCCCGEEEJI3OFFKUIIIYQQQgghhBBCCCGEEBJ3eFGKEEIIIYQQQgghhBBCCCGExB1elCKEEEIIIYQQQgghhBBCCCFxhxelCCGEEEIIIYQQQgghhBBCSNzhRSlCCCGEEEIIIYQQQgghhBASd/4PjFnOLxHagBYAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"462IIm-EcejG"},"source":["4.1.4 After 3rd Fully Connected Layer"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"5IEKZqNOb3WM","outputId":"45875c5c-e71d-47a0-fb2b-adc785855f8d","executionInfo":{"status":"ok","timestamp":1668100360587,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["output3 = model.forward3(output2)\n","print(f\"{output2.size()} --> {output3.size()}\")"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([50, 32, 7, 7]) --> torch.Size([50, 120])\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"OwSOhuzqcolU","outputId":"4a2f44ab-2185-4e97-d5cc-b8a503418160","executionInfo":{"status":"ok","timestamp":1668100365436,"user_tz":-540,"elapsed":475,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["image1, image2 = output3[0], output3[1]\n","\n","print(image1.size(), image2.size())"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([120]) torch.Size([120])\n"]}]},{"cell_type":"code","metadata":{"id":"weHIdRH6crtT"},"source":["\n","\"\"\"\n","  error : image1가 더 이상 2차원 tensor가 아님. (이미지로 show 불가)\n","\"\"\"\n","plt.imshow(image1[0].detach().numpy())"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"neNNyCFac5v0","outputId":"df01292f-87f5-4799-de71-51739886587a","executionInfo":{"status":"ok","timestamp":1668100397631,"user_tz":-540,"elapsed":525,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["print(image1)"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["tensor([-7.9839e-01,  1.3093e+00,  2.5738e-01, -1.4500e-01, -1.3694e+00,\n","         1.3533e+00,  5.8263e-01,  2.2157e-01,  3.1327e-01, -5.0162e-01,\n","        -4.7533e-01,  6.8467e-01,  1.0849e+00, -1.4096e+00,  8.6465e-02,\n","         5.1536e-01, -2.7834e-01,  6.8388e-02,  1.1738e+00, -2.8347e-01,\n","         7.9356e-01,  7.9956e-02,  2.0073e-01,  3.9828e-01,  1.5375e-01,\n","        -4.1755e-01, -1.3734e-01, -2.4602e-01,  3.2351e-01,  5.4618e-01,\n","         4.8299e-01, -2.8638e-01,  2.0815e-01,  1.1981e+00,  8.8889e-01,\n","        -5.6795e-01, -6.1511e-01, -3.6517e-01, -5.3500e-02, -2.8776e-01,\n","        -3.5509e-01,  9.1789e-02,  2.1911e-01,  3.7787e-01, -2.9440e-02,\n","        -1.9982e-01,  1.7601e-03,  3.6044e-02, -1.1700e-01,  8.1773e-01,\n","         6.6474e-01,  5.5256e-01, -2.2781e-01,  7.7047e-01,  5.1342e-01,\n","         1.1054e-01, -4.0377e-01,  1.4756e-01, -7.4317e-01,  5.4666e-03,\n","         6.8357e-02, -9.5722e-01, -5.3205e-01,  1.3721e-01, -8.4291e-01,\n","         5.4674e-01,  5.3787e-01,  1.2060e-01,  5.8807e-01, -4.2216e-01,\n","        -1.0228e+00,  9.4568e-02,  2.9890e-01,  5.5216e-01,  3.0678e-01,\n","         2.3973e-01,  1.3458e-01,  6.8614e-01, -2.0614e-01, -9.3594e-01,\n","         3.8483e-01, -1.8722e+00, -3.0873e-01, -3.2349e-01,  3.8801e-01,\n","         7.0070e-01, -1.2631e-01,  2.4136e-02, -3.2100e-03, -2.5255e-02,\n","        -8.1302e-01, -3.9529e-01, -1.0337e+00,  2.2406e-02, -1.3123e-01,\n","         3.1357e-01,  8.1936e-02, -2.6315e-01,  5.1610e-01,  3.0018e-01,\n","         1.5122e-02, -4.6731e-01, -3.7431e-01,  5.8707e-01,  6.6776e-01,\n","         1.2407e-03, -2.1973e-01,  2.5358e-01,  3.9319e-01, -9.5870e-01,\n","        -3.6029e-01,  8.9628e-01, -2.2053e-01, -8.1339e-01, -6.5288e-01,\n","        -7.3062e-01,  5.3187e-01, -3.5386e-01, -5.3747e-01, -8.2447e-01],\n","       grad_fn=<SelectBackward0>)\n"]}]},{"cell_type":"markdown","metadata":{"id":"M7A3UyZYdR1T"},"source":["4.1.5 After 4th Fully Connectec Layer"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"oKYeYNuadJAc","outputId":"680e2337-5c24-4be4-f03d-0164074bf121","executionInfo":{"status":"ok","timestamp":1668100416810,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["output4 = model.forward4(output3)\n","print(f\"{output3.size()} --> {output4.size()}\")"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([50, 120]) --> torch.Size([50, 10])\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"DPHdTiSudZ_9","outputId":"e5022b74-bb4c-4ccc-b70b-1fb0da300c3b","executionInfo":{"status":"ok","timestamp":1668100420769,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["image1, image2 = output4[0], output4[1]\n","print(image1.size())\n","print(image2.size())"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([10])\n","torch.Size([10])\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"JMsmm4x6df7d","outputId":"3b4cb13c-105b-485a-d31f-ff6aa7a8fe63","executionInfo":{"status":"ok","timestamp":1668100480654,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["print(\"image1\")\n","print(\"the final tensor :\", image1)\n","print(\"the result prediction:\", image1.tolist().index(image1.max()))\n","print(\"the original label:\", label1)"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["image1\n","the final tensor : tensor([-0.0704, -0.5646,  0.1649,  0.2893, -0.3276, -0.3157,  0.0084,  0.1375,\n","        -0.0137, -0.0343], grad_fn=<SelectBackward0>)\n","the result prediction: 3\n","the original label: tensor(9)\n"]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"E6GvovcQdou9","outputId":"f74338bd-0259-4df4-d703-fc125c112cad","executionInfo":{"status":"ok","timestamp":1668100488324,"user_tz":-540,"elapsed":3,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["print(\"image2\")\n","print(\"the final tensor:\", image2)\n","print(\"the result prediction:\", image2.tolist().index(image2.max()))\n","print(\"the original label:\", label2)"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["image2\n","the final tensor: tensor([-0.1301,  0.0362, -0.2687,  0.2215, -0.1605, -0.6478,  0.5270,  0.4010,\n","         0.2037, -0.0391], grad_fn=<SelectBackward0>)\n","the result prediction: 6\n","the original label: tensor(0)\n"]}]},{"cell_type":"markdown","metadata":{"id":"oHljiPnyeZJz"},"source":["**5. Set Loss & Optimizer**"]},{"cell_type":"code","metadata":{"id":"TsL_cXPId9zU"},"source":["model = ConvNetStep().to(device)\n","criterion = nn.CrossEntropyLoss()\n","optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"9wptGNRVeykT"},"source":["**6. Train**"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HFh06sa4ed5-","outputId":"63705ec2-66ad-4d85-aa88-0052d403041e","executionInfo":{"status":"ok","timestamp":1668101122000,"user_tz":-540,"elapsed":57218,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["total_step = len(train_loader)\n","total_loss = []\n","for epoch in range(num_epochs):\n","  epoch_loss = []\n","  for i, (img, label) in enumerate(train_loader):\n","    # Assign Tensors to Configures Devices (gpu)\n","    img = img.to(device)\n","    label = label.to(device)\n","\n","    # Forward propagation\n","    outputs = model(img)\n","\n","    # Get Loss, Compute Gradient, Update Parameters\n","    loss = criterion(outputs, label)\n","    optimizer.zero_grad()\n","    loss.backward()\n","    optimizer.step()\n","\n","    epoch_loss.append(loss.detach().cpu().numpy())\n","    # Print Loss\n","    if i % 10000 == 0 or (i+1)==len(train_loader):\n","      print('Epoch [{}/{}], Step [{}/{}], Loss: {:.4f}'.format(epoch+1, num_epochs, i+1, len(train_loader), loss.item()))\n","  total_loss.append(np.mean(epoch_loss))\n","  print(f\"epoch{i} loss: {np.mean(epoch_loss)}\")"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Epoch [1/5], Step [1/1200], Loss: 2.3223\n","Epoch [1/5], Step [1200/1200], Loss: 0.0594\n","Epoch [2/5], Step [1/1200], Loss: 0.1010\n","Epoch [2/5], Step [1200/1200], Loss: 0.0759\n","Epoch [3/5], Step [1/1200], Loss: 0.0952\n","Epoch [3/5], Step [1200/1200], Loss: 0.0290\n","Epoch [4/5], Step [1/1200], Loss: 0.0429\n","Epoch [4/5], Step [1200/1200], Loss: 0.0259\n","Epoch [5/5], Step [1/1200], Loss: 0.0655\n","Epoch [5/5], Step [1200/1200], Loss: 0.1276\n"]}]},{"cell_type":"code","source":["plt.plot(total_loss)\n","plt.title(\"MNIST CNN loss example\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":281},"id":"8XEEVSRokZ3I","executionInfo":{"status":"ok","timestamp":1668101147580,"user_tz":-540,"elapsed":3,"user":{"displayName":"정원","userId":"11060831952027892446"}},"outputId":"db1d0ad2-3b37-44a1-caa7-3dff98abdf4f"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"FdQzlPCrgCNe"},"source":["**7. Save Model and Load Model to test**"]},{"cell_type":"markdown","metadata":{"id":"ryNfgbszgIr3"},"source":["7.1 Save model"]},{"cell_type":"code","metadata":{"id":"5T-vpJsTe3G9"},"source":["torch.save(model.state_dict(),\"my_model.pth\")   # model의 weight 정보 만을 저장"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"Mx1A9kicgTMZ"},"source":["7.2 Load model"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_ZlDEZZAgM8l","outputId":"a470b704-45b1-42a4-d2ab-a147897fda2c","executionInfo":{"status":"ok","timestamp":1668101165405,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["test_model = ConvNetStep().to(device)\n","\n","test_model.load_state_dict(torch.load(\"my_model.pth\"))   # test_model이라는 모델 안에 앞서 학습한 weight 정보가 담기게 된다."],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<All keys matched successfully>"]},"metadata":{},"execution_count":55}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"TQJ7X0lzgXw9","outputId":"24edd709-edc4-46dc-9872-f02fca8d6267","executionInfo":{"status":"ok","timestamp":1668101175075,"user_tz":-540,"elapsed":1257,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["test_model.eval()\n","\n","with torch.no_grad():\n","  correct = 0\n","  \n","  for img, lab in test_loader:\n","    img = img.to(device)\n","    lab = lab.to(device)\n","    out = test_model(img)\n","    _, pred = torch.max(out.data, 1)\n","    correct += (pred == lab).sum().item()\n","\n","  print(\"Accuracy of the network on the {} test images: {}%\".format(len(test_loader)*batch_size, 100 * correct / (len(test_loader) * batch_size)))"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Accuracy of the network on the 10000 test images: 98.87%\n"]}]},{"cell_type":"markdown","metadata":{"id":"jwuvZpgIkpWi"},"source":["## RNN (Recurrent Neural Network)"]},{"cell_type":"markdown","metadata":{"id":"0iSckMcakzHk"},"source":["1. Define Hyper-parameters and device configuration "]},{"cell_type":"markdown","metadata":{"id":"qR93Zti-tnGV"},"source":["![rnn.png](data:image/png;base64,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)"]},{"cell_type":"markdown","metadata":{"id":"S3ZiEI3St7mm"},"source":["![8.png](data:image/png;base64,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)"]},{"cell_type":"markdown","metadata":{"id":"8wFw71o1zl8I"},"source":["![lstm2.png](data:image/png;base64,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)"]},{"cell_type":"code","metadata":{"id":"QOdq3gPZg3qM","executionInfo":{"status":"ok","timestamp":1669312264700,"user_tz":-540,"elapsed":3,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["import torch"],"execution_count":5,"outputs":[]},{"cell_type":"code","metadata":{"id":"KHWe9pWZk46X","executionInfo":{"status":"ok","timestamp":1669312265040,"user_tz":-540,"elapsed":2,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n","\n","# Hyper parameters\n","sequence_length = 28\n","input_size = 28     # input data의 차원\n","hidden_size = 128   # hidden state의 차원\n","num_layers = 10     # RNN의 은닉층 레이어 개수\n","num_classes = 10\n","batch_size = 50\n","num_epochs = 3\n","learning_rate = 0.001"],"execution_count":6,"outputs":[]},{"cell_type":"code","metadata":{"id":"MdLFpRlbk6cH","executionInfo":{"status":"ok","timestamp":1669312266520,"user_tz":-540,"elapsed":1,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["import torchvision\n","import torchvision.transforms as transforms"],"execution_count":7,"outputs":[]},{"cell_type":"code","metadata":{"id":"-FI82AVFlawX","executionInfo":{"status":"ok","timestamp":1669313040869,"user_tz":-540,"elapsed":429,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["train_data = torchvision.datasets.MNIST(root='./datasets',\n","                                        train=True,\n","                                        transform=transforms.ToTensor(),\n","                                        download=True)\n","test_data = torchvision.datasets.MNIST(root='./datasets',\n","                                        train=False,\n","                                        transform=transforms.ToTensor(),\n","                                        download=True)"],"execution_count":36,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"LTYekdIClfpm"},"source":["2. Define Dataloader"]},{"cell_type":"code","metadata":{"id":"EoDa_EQHlcQ3","executionInfo":{"status":"ok","timestamp":1669313042440,"user_tz":-540,"elapsed":302,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["train_loader = torch.utils.data.DataLoader(dataset=train_data,\n","                                           batch_size=batch_size,\n","                                           shuffle=True)\n","\n","test_loader = torch.utils.data.DataLoader(dataset=test_data,\n","                                          batch_size=batch_size,\n","                                          shuffle=False)"],"execution_count":37,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Q_ZU4wGGliq_","outputId":"32e60498-c053-416a-9b85-bb7b594078c8","executionInfo":{"status":"ok","timestamp":1669312272403,"user_tz":-540,"elapsed":297,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["# cf) Check dataloader shape\n","image, label = next(iter(test_loader))\n","print(image.size()) # [Batch, Channel, Height, Width]"],"execution_count":10,"outputs":[{"output_type":"stream","name":"stdout","text":["torch.Size([50, 1, 28, 28])\n"]}]},{"cell_type":"markdown","metadata":{"id":"pobprti3l_4d"},"source":["3. Define Model"]},{"cell_type":"markdown","metadata":{"id":"TPtSrrgnvUMT"},"source":["![lstm.png](data:image/png;base64,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)"]},{"cell_type":"code","metadata":{"id":"fKUZWBitlkPP","executionInfo":{"status":"ok","timestamp":1669312274445,"user_tz":-540,"elapsed":1,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["import torch.nn as nn\n","import torch.nn.functional as F"],"execution_count":11,"outputs":[]},{"cell_type":"code","metadata":{"id":"dmUuRuKOmCq3","executionInfo":{"status":"ok","timestamp":1669312863097,"user_tz":-540,"elapsed":283,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["class LSTM(nn.Module):\n","  def __init__(self, intput_size, hidden_size, num_layers, num_classes):\n","    super(RNN, self).__init__()\n","    self.hidden_size = hidden_size\n","    self.num_layers = num_layers\n","    self.lstm = nn.LSTM(input_size, hidden_size, num_layers, batch_first=True)\n","    self.fc = nn.Linear(hidden_size, num_classes)\n","\n","  def forward(self, x):\n","    # set initial hidden states and cell states\n","    h0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(device) # torch.size([10, 50, 128])\n","    c0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(device) # torch.size([10, 50, 128])\n","\n","    #Forward propagate LSTM\n","    out, _  = self.lstm(x, (h0, c0)) # output: tensor [batch_size, seq_length, hidden_size]\n","    # lstm의 출력 형식: (hidden state, cell state)\n","\n","    #Decode the hidden state of the last time step\n","    out = self.fc(out[:,-1,:])\n","\n","    return out\n","\n","model = LSTM(input_size, hidden_size, num_layers, num_classes).to(device)"],"execution_count":29,"outputs":[]},{"cell_type":"code","source":["class RNN(nn.Module):\n","  def __init__(self, intput_size, hidden_size, num_layers, num_classes):\n","    super(RNN, self).__init__()\n","    self.hidden_size = hidden_size\n","    self.num_layers = num_layers\n","    #self.lstm = nn.LSTM(input_size, hidden_size, num_layers, batch_first=True)\n","    self.rnn = nn.RNN(input_size, hidden_size, num_layers, batch_first=True)\n","    self.fc = nn.Linear(hidden_size, num_classes)\n","\n","  def forward(self, x):\n","    #Forward propagate LSTM\n","    h0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(device) # torch.size([10, 50, 128])\n","    out, _  = self.rnn(x, h0) # output: tensor [batch_size, seq_length, hidden_size]\n","    # lstm의 출력 형식: (hidden state, cell state)\n","\n","    #Decode the hidden state of the last time step\n","    out = self.fc(out[:,-1,:])\n","\n","    return out\n","\n","model = RNN(input_size, hidden_size, num_layers, num_classes).to(device)"],"metadata":{"id":"QqLnBU4mxNux","executionInfo":{"status":"ok","timestamp":1669313045447,"user_tz":-540,"elapsed":1,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"execution_count":38,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"yp6i81XC1vWu"},"source":["4. Set Loss & Optimizer"]},{"cell_type":"code","metadata":{"id":"XY45Y58dmEGA","executionInfo":{"status":"ok","timestamp":1669313045854,"user_tz":-540,"elapsed":1,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["criterion = nn.CrossEntropyLoss()\n","optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"],"execution_count":39,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"_q2-SMc-10u8"},"source":["5. Train and Test"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":284},"id":"JC-OT2vd1xFs","outputId":"7ae780a6-24d3-4996-c433-2fd7574b3459","executionInfo":{"status":"error","timestamp":1669313170685,"user_tz":-540,"elapsed":14564,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["####### Train #######\n","total_step = len(train_loader)\n","for epoch in range(num_epochs):\n","  correct = 0\n","  cnt = 0\n","  train_loss = 0\n","  for i, (image, label) in enumerate(train_loader):\n","    cnt += 1\n","    image = image.reshape(-1, sequence_length, input_size).to(device)\n","    label = label.to(device)\n","\n","    # Forward\n","    output = model(image)\n","    loss = criterion(output, label)\n","\n","    _, pred = torch.max(output.data, 1)\n","    correct += (pred == label).sum().item()\n","\n","    # Backward and optimize\n","    optimizer.zero_grad()\n","    loss.backward()\n","    optimizer.step()\n","\n","    train_loss += loss.item()\n","\n","    if (i+1) % 400 == 0:\n","      print(\"Epoch [{}/{}], Step[{}/{}], Loss:{:.4f}, Acc:{:.2f}%\".format(epoch+1, num_epochs, i+1, total_step, train_loss/cnt, correct/(cnt*batch_size) * 100))"],"execution_count":42,"outputs":[{"output_type":"stream","name":"stdout","text":["Epoch [1/3], Step[400/1200], Loss:0.2714, Acc:91.59%\n","Epoch [1/3], Step[800/1200], Loss:0.2837, Acc:91.41%\n"]},{"output_type":"error","ename":"KeyboardInterrupt","evalue":"ignored","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)","\u001b[0;32m<ipython-input-42-8fba4bc4964e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     15\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     16\u001b[0m     \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpred\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0moutput\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 17\u001b[0;31m     \u001b[0mcorrect\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mpred\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     18\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     19\u001b[0m     \u001b[0;31m# Backward and optimize\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;31mKeyboardInterrupt\u001b[0m: "]}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"rkAkUTKq124r","outputId":"86d4411b-66f3-4211-9341-228ec0b1903a","executionInfo":{"status":"ok","timestamp":1669312967355,"user_tz":-540,"elapsed":1478,"user":{"displayName":"정원","userId":"11060831952027892446"}}},"source":["######## TEST ########\n","with torch.no_grad():\n","  correct = 0\n","\n","  for image, label in test_loader:\n","    image = image.reshape(-1, sequence_length, input_size).to(device)\n","    label = label.to(device)\n","    output = model(image)\n","    _, pred = torch.max(output.data, 1)\n","    correct += (pred == label).sum().item()\n","\n","  print('Test Accuracy of RNN model on the {} test images: {}%'.format(len(test_data), 100 * correct / len(test_data)))"],"execution_count":35,"outputs":[{"output_type":"stream","name":"stdout","text":["Test Accuracy of RNN model on the 10000 test images: 91.85%\n"]}]},{"cell_type":"code","metadata":{"id":"9G3Jo-UQ2jfU"},"source":[],"execution_count":null,"outputs":[]}]}