workshop_lab_activity.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNeVvIHWOoxcOsawG+ORXjc",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU",
    "gpuClass": "standard"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Yogesh914/CheeseHacks-FaceFirst/blob/main/workshop_lab_activity.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "0-fF-Y3p20SR"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import torch\n",
        "import torch.nn as nn\n",
        "import torch.optim as optim\n",
        "import torchvision\n",
        "import torchvision.transforms as transforms\n",
        "import matplotlib.pyplot as plt"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Load the MNIST dataset\n",
        "# Let's incorporate the widely-used MNIST dataset, which consists of handwritten digit images.\n",
        "\n",
        "transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (0.5,))])\n",
        "\n",
        "train_set = torchvision.datasets.MNIST(root='./data', train=True, download=True, transform=transform)\n",
        "train_loader = torch.utils.data.DataLoader(train_set, batch_size=64, shuffle=True, num_workers=2)\n"
      ],
      "metadata": {
        "id": "fDnQJwCc3KCP",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "061c16a8-776c-442b-f99c-e98d64ad863e"
      },
      "execution_count": 2,
      "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 ./data/MNIST/raw/train-images-idx3-ubyte.gz\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "100%|██████████| 9912422/9912422 [00:00<00:00, 206969958.11it/s]"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Extracting ./data/MNIST/raw/train-images-idx3-ubyte.gz to ./data/MNIST/raw\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\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 ./data/MNIST/raw/train-labels-idx1-ubyte.gz\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "100%|██████████| 28881/28881 [00:00<00:00, 30620751.72it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Extracting ./data/MNIST/raw/train-labels-idx1-ubyte.gz to ./data/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 ./data/MNIST/raw/t10k-images-idx3-ubyte.gz\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "100%|██████████| 1648877/1648877 [00:00<00:00, 94036187.32it/s]"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Extracting ./data/MNIST/raw/t10k-images-idx3-ubyte.gz to ./data/MNIST/raw\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\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 ./data/MNIST/raw/t10k-labels-idx1-ubyte.gz\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "100%|██████████| 4542/4542 [00:00<00:00, 22842360.63it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Extracting ./data/MNIST/raw/t10k-labels-idx1-ubyte.gz to ./data/MNIST/raw\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Define the neural network\n",
        "class SimpleNet(nn.Module):\n",
        "    def __init__(self):\n",
        "        super(SimpleNet, self).__init__()\n",
        "        self.fc1 = nn.Linear(28 * 28, 64)\n",
        "        self.fc2 = nn.Linear(64, 10)\n",
        "\n",
        "    def forward(self, x):\n",
        "        x = x.view(-1, 28 * 28)\n",
        "        x = torch.relu(self.fc1(x))\n",
        "        x = self.fc2(x)\n",
        "        return x\n",
        "\n",
        "net = SimpleNet()"
      ],
      "metadata": {
        "id": "3Dk6Kv_S3Mz2"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Set loss function and optimizer\n",
        "criterion = nn.CrossEntropyLoss()\n",
        "\n",
        "# Modify this value to experiment with different learning rates\n",
        "learning_rate = 0.01\n",
        "\n",
        "optimizer = optim.SGD(net.parameters(), lr=learning_rate, momentum=0.9)"
      ],
      "metadata": {
        "id": "KZQvDknc3P_P"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Modify the num_epochs number and see what happens\n",
        "num_epochs = 10\n",
        "loss_history = []\n",
        "\n",
        "# Get some random training images\n",
        "dataiter = iter(train_loader)\n",
        "images, labels = next(dataiter)"
      ],
      "metadata": {
        "id": "Grz9W2gje--K"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Function to show an image\n",
        "def imshow(img):\n",
        "    img = img / 2 + 0.5     # unnormalize\n",
        "    npimg = img.numpy()\n",
        "    plt.imshow(np.transpose(npimg, (1, 2, 0)))\n",
        "    plt.show()\n",
        "\n",
        "# Show images\n",
        "imshow(torchvision.utils.make_grid(images))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "VIGW51-RfCsU",
        "outputId": "07783b4e-7cb7-41c3-d344-75dafd521886"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "for epoch in range(num_epochs):\n",
        "    running_loss = 0.0\n",
        "    for i, data in enumerate(train_loader, 0):\n",
        "        inputs, labels = data\n",
        "        optimizer.zero_grad()\n",
        "        outputs = net(inputs)\n",
        "        loss = criterion(outputs, labels)\n",
        "        loss.backward()\n",
        "        optimizer.step()\n",
        "        running_loss += loss.item()\n",
        "\n",
        "        # Print the first 4 predicted labels of the first batch in each epoch\n",
        "        if i == 0:\n",
        "            _, predicted = torch.max(outputs, 1)\n",
        "            print('First batch of epoch: ', epoch)\n",
        "            print('GroundTruth: ', ' '.join('%5s' % labels[j].item() for j in range(4)))\n",
        "            print('Predicted: ', ' '.join('%5s' % predicted[j].item() for j in range(4)))\n",
        "            imshow(torchvision.utils.make_grid(inputs[:4]))\n",
        "\n",
        "    epoch_loss = running_loss / (i + 1)\n",
        "    loss_history.append(epoch_loss)\n",
        "    print(f\"Epoch {epoch + 1}, Loss: {epoch_loss}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "hKYLh3He3Uu_",
        "outputId": "8e17c77b-d3e5-49e2-b806-8936f7b23228"
      },
      "execution_count": 7,
      "outputs": [
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "First batch of epoch:  0\n",
            "GroundTruth:      8     7     6     5\n",
            "Predicted:      7     6     6     6\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 1, Loss: 0.3901005576430226\n",
            "First batch of epoch:  1\n",
            "GroundTruth:      5     0     0     4\n",
            "Predicted:      5     0     0     4\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 2, Loss: 0.1996032522955556\n",
            "First batch of epoch:  2\n",
            "GroundTruth:      3     7     0     2\n",
            "Predicted:      3     7     0     2\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 3, Loss: 0.15214103502410053\n",
            "First batch of epoch:  3\n",
            "GroundTruth:      7     3     1     2\n",
            "Predicted:      7     3     1     2\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 4, Loss: 0.1276187449097951\n",
            "First batch of epoch:  4\n",
            "GroundTruth:      3     9     3     5\n",
            "Predicted:      3     9     3     5\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 5, Loss: 0.10940353735399716\n",
            "First batch of epoch:  5\n",
            "GroundTruth:      2     3     9     6\n",
            "Predicted:      2     3     9     6\n"
          ]
        },
        {
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 6, Loss: 0.09505109552508478\n",
            "First batch of epoch:  6\n",
            "GroundTruth:      7     1     8     6\n",
            "Predicted:      7     1     8     6\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 7, Loss: 0.0866302775535812\n",
            "First batch of epoch:  7\n",
            "GroundTruth:      0     8     2     1\n",
            "Predicted:      0     8     2     2\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 8, Loss: 0.07866001677493861\n",
            "First batch of epoch:  8\n",
            "GroundTruth:      6     7     6     0\n",
            "Predicted:      6     7     6     0\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "metadata": {
            "tags": null
          },
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Epoch 9, Loss: 0.07052366815553085\n",
            "First batch of epoch:  9\n",
            "GroundTruth:      2     0     9     0\n",
            "Predicted:      2     0     9     0\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 10, Loss: 0.06614287284318048\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Visualize the training loss\n",
        "plt.plot(loss_history)\n",
        "plt.xlabel('Epoch')\n",
        "plt.ylabel('Loss')\n",
        "plt.title(f'Training Loss (Learning Rate: {learning_rate})')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "tNQYSyDE3WaJ",
        "outputId": "74875907-1723-4b5c-894a-0e109810ade1"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}