{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "

Face Recognition Using PCA

\n", "

\n", "Nazar Khan\n", "
CVML Lab\n", "
University of The Punjab\n", "

" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "# **Part 1: Face Recognition**\n", "\n", "This tutorial shows how to use Principal Component Analysis (PCA) for face recognition. The goal is to introduce PCA concepts while applying them to a real-world problem of recognizing faces from images.\n", "\n", "---\n", "\n", "## 1. **Introduction to PCA**\n", "PCA is a dimensionality reduction technique. For face recognition:\n", "- It helps reduce the large-dimensional pixel space to a smaller-dimensional \"face space.\"\n", "- It captures the most significant variance (principal components) in the data.\n", "- Each face image can be represented as a linear combination of these principal components.\n", "\n", "---\n", "\n", "## 2. **Dataset**\n", "We'll use the **Labeled Faces in the Wild (LFW)** dataset, available in `sklearn.datasets`.\n", "\n", "---\n", "\n", "## 3. **Code Implementation**\n", "\n", "### 3.1 Import Libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import fetch_lfw_people\n", "from sklearn.decomposition import PCA\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.svm import SVC\n", "from sklearn.metrics import classification_report, confusion_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Load and Visualize the Dataset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples: 1560, Image shape: 50x37, Number of classes: 12\n" ] }, { "data": { "image/png": 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kbd26tdkxJ598cqqvr0/bt29PKf3vnDjrrLMK5580aVKKiDR9+vRm8VGjRqV3v/vd9p53ldsRkbp165bWrl3bLP6hD30oderUqdlL2bZt29KIESNKfXiaM2dOOuigg5rmZadOndLkyZPT97///fTGG280tfvv//7vFBFyzu7IwIEDU8eOHdOCBQuaYq+99lqqqalJ559/flPM9V/jQnzBBRc0i0+fPj1FRPqXf/mXlFJKmzdvTjU1Nel973tfs3bbt29PY8eOTUceeWRTbPz48alv377ptddea4pt3Lgx1dTUNFt0p02bliIiffe73212zkWLFqVOnTqlr3zlK02xxjF+8MEHd9kfUDl29+EppZR69+6dRo4cmVJ6Kzf69u2bDj744KZ5nFJKmzZtSnV1denoo49uijVuyK644opm57vgggtSx44dm9WMHdm+fXvaunVruuGGG1KbNm2azdedN3/33ntviohmH25TSulb3/pW1oenyy+/PG3dujVt2bIlPfPMM+moo45K9fX1zeZ+7oenTp06pcWLFzfFnnnmmRQRqb6+Pm3evLkpfuedd6aISHfddVdKKaXVq1eniEj/9V//tct733nfklLe/NvXfQnVQ6XX7jPPPDN16NAhLVy4sFm7E088MXXu3DmtX78+peT3j9u3b099+vRJ48ePbxZfsGBBateuXbO8vOWWW1JEpF//+tfN2s6YMSNFRPrBD36wy75onHff/va3U0opPfXUUyki0uzZs1NKb9W373//+ymllB5++OFS50zpf9evnf8ZNmxYmjVrVrO2ZV9ar7zyyhQRTf2naOzTnf9H8Ntuuy1FRJo2bdpu7x2qH+bw/8Icbjnwp3Z7yJQpU6JLly5x2mmnNYs3/gnazn+Gctxxx8X+++/f9O+9e/eOurq6Zqr4H/7wh6Ouri6uueaaptjVV18dvXr1ig996EOl7uvyyy+PGTNmxIwZM+KPf/xjfOUrX4nLLrssvvzlL+/22Ntvvz0mTJgQ++23X7Rt2zbatWsXP/3pT2PWrFmlrv3BD36wVDv4++Cwww6Ldu3aNf3z3e9+NyIi5syZE7Nnz46PfvSjERGxbdu2pn9OOumkWLZsWeGnpC63+vTpE0ceeWSz2JgxYwpuEzm5ffzxx0ePHj2axaZOnRqTJ09upmHTpk2b0vNyyJAh8eyzz8bDDz8cl1xySZxwwgkxY8aMuPDCC+Ooo46KLVu2RETEvffeGxERn/3sZ3d7znHjxsWAAQOa/r1jx44xbNgw6bSxc/9NnTo1IqLgTnnkkUfGyJEjm+rX448/HmvXro2zzz672Ti9+eab8Z73vCdmzJgRmzdvjs2bN8eMGTPi1FNPbaa/tf/++8f73ve+Zte4++67o1WrVvGxj32s2Tn79OkTY8eOLfwkukePHnH88cfvtj/g7SOl1PT/v/DCC7F06dL4+Mc/3uzPSPfbb7/44Ac/GE888US8+uqrzY5///vf3+zfx4wZE1u2bGnmmPf000/H+9///qitrY02bdpEu3bt4qyzzort27fv8k+9GnO9sd408pGPfCTrGf/5n/852rVr1/TnBjNnzozf/e53pV3fFOPGjYuGhoamfx85cmREvPUnpjvqmDXGG+d2TU1NDBkyJL7zne/Ef/7nf8bTTz9dWisud/7tyL7qS6hu9sXaPWXKlJg8eXL079+/2bnPOeecePXVVwt/drvzGvXCCy/E8uXL44wzzmgWHzBgQEyYMKFZ7O67747u3bvH+973vmb3NG7cuOjTp89u3afHjBkTtbW1Te0eeuih6NOnT5MY8cSJE5tyP0cbJuKttb9xTz5t2rS4+eabo1OnTjF58uR46aWXSp1jR4444oiIiDjjjDPitttuiyVLlti2qq5GREXduKA6YA4zh6sVPjztIWvWrIk+ffoU/m6zrq4u2rZtG2vWrGkWr62tLZyjQ4cO8dprrzX79/PPPz9uvvnmWL9+faxatSpuu+22+OQnPxkdOnQodV+DBw+Oww8/PA4//PA44YQT4tJLL41PfvKT8d3vfjdmz55tj7vjjjvijDPOiIaGhvjlL38Z06ZNixkzZsS5557b9FK8O5yGDfzt0rNnz+jUqZMsgjfffHPMmDGjoE3UqInypS99qdnC2K5du7jgggsi4i1Hxh1xuVVmXuXmtrpW43zfGRVzNP4d+kUXXRR33XVXLF26ND70oQ/FU0891aTNtGrVqmjTpk2p85Z59kZ2fqbG+qSetW/fvk3/vXGsTjvttMJYXX755ZFSirVr18a6devizTffLNVHK1asiJRS9O7du3DOJ554ovTYQ3WwefPmWLNmTZOGxO5y680334x169Y1i++cy43rXWMuL1y4MI455phYsmRJfO9734tHHnkkZsyY0fQ/0qicb2TNmjXRtm3bwjVy5m5ExOc///mYMWNGPProo3HllVfG1q1b45RTTims9TnU1NQ0+/dGjQ4Xb6xXrVq1igcffDDe/e53xxVXXBGHHnpo9OrVK/7P//k/sWnTpl1eM3f+7ci+6kt4+6n02u10DXeuE424NUoZFuwcW7FiRaxfvz7at29fuK/ly5fvMqcj3ppPkyZNisceeyy2bt0aU6dOjUmTJjX990mTJsXDDz8cKaWYOnVq9OnTJ0aMGLHLczbSsWPHpj35O97xjvjwhz8c9957byxbtiwuuuiiUufYkYkTJ8add94Z27Zti7POOiv69esXBx10kNSH3V1dhZYNc/h/YQ63HLAc20Nqa2tj+vTpkVJq9vFp5cqVsW3btujZs+cenfczn/lMXHbZZfGzn/0stmzZEtu2bWumxL8njBkzJlJK8dxzz9mJ9stf/jIOOOCAuPXWW5s9z85C6buipbpkwZ7Tpk2bOP744+P++++PZcuWNVt4Ro0aFRHRTFA3Iprmxte+9rU49dRT5Xl3tD2N2Lvcys1tda3a2tpYvnx5Ia5iZenSpUt87Wtfi1tvvTVmzpwZEW+5Z27fvj2WL1++Tz+47PxMjYvZsmXLol+/fs3+29KlS5vGqPH/Xn311dbRs3fv3k0OJmX6qGfPntGqVat45JFH5Af1nWPUlerm97//fWzfvj2OPfbYiGieWzuzdOnSaN26deEXhbvjzjvvjM2bN8cdd9wRAwcObIo3Cmnvitra2ti2bVusWbOm2SYud+7269evSVB8woQJ0adPn/jYxz4WF198cXz/+9+PiGj6td/rr7/eLI93t2neEwYOHBg//elPIyLixRdfjNtuuy2+8Y1vxBtvvBHXXnutPS53/u3IvupLePup9NpdW1tra8CO52rErVE7ivc3otaU2trauO++++Q97fjXBo7jjjsu7rjjjpg+fXo88sgjcemllzb9t0mTJsXq1avjqaeeiieeeCI+8IEP7PZ8u6K+vj569uwZzz77bFOsY8eOck+iascpp5wSp5xySrz++uvxxBNPxKWXXhof+chHYtCgQXHUUUft1b1By4E53BzmcMuAXzztIZMnT45XXnkl7rzzzmbxG264oem/7wn19fVx+umnxw9+8IO49tpr433ve1+zP6fZExo353V1dbZNq1aton379s0Kx/Lly6XzF8COfO1rX4vt27fHpz/96VIOU8OHD4+hQ4fGs88+2/S/Iuz8T5lFpiz7IrePO+64ePDBB5stoNu3b49bb7211PFq8Y6Ipj/1a/xfkE488cSIiPjhD39Y+t72hMY/XfvlL3/ZLD5jxoyYNWtWU/2aMGFCdO/ePf7yl7/YsWrfvn2T89Ydd9zR7FdkmzZtit/97nfNrnHyySdHSimWLFkiz3fwwQdX9Nlh37Fw4cL40pe+FN26dYvzzz8/It6a3w0NDXHzzTc3+xO8zZs3x69//esmp7scGufujh9FUkrx4x//eLfHNv6c/qabbmoWv/nmm7PuYWc++tGPxrHHHhs//vGPm/4X58Y/u3vuueeatd15Duxrhg0bFv/6r/8aBx98cPzpT3/aZdu9mX+V6kt4e6jk2j158uSYMmVK00tqIzfccEN07tzZ/g8ZO16rT58+BaethQsXxuOPP94sdvLJJ8eaNWti+/bt8p52/h+yFI25fdVVV8WGDRuaPqRHRIwePTpqa2vj0ksvjS1btpT+Ex3H4sWLY/Xq1c325IMGDYqVK1c222O88cYb8Yc//MGep0OHDjFp0qS4/PLLI+KtP0eGvy+Yw/8Lc7hlwC+e9pCzzjorrrnmmjj77LNj/vz5cfDBB8ejjz4a3/72t+Okk06KE044YY/P/fnPfz7Gjx8fERHXX3991rEvvfRSPPHEExERsWHDhnjggQfipz/9aRx++OFxzDHH2ONOPvnkuOOOO+KCCy6I0047LRYtWhTf/OY3o76+fo/+hhX+fpgwYUJcc8018bnPfS4OPfTQ+NSnPhWjR4+O1q1bx7Jly+LXv/51RER07dq16ZjrrrsuTjzxxHj3u98d55xzTjQ0NMTatWtj1qxZ8ac//Sluv/32fXZ/+yK3//Vf/zXuuuuuOP744+Oiiy6Kzp07xzXXXBObN28udfzo0aNj8uTJceKJJ8aQIUNiy5YtMX369Pjud78bvXv3jvPOOy8iIo455pj4+Mc/Hv/xH/8RK1asiJNPPjk6dOgQTz/9dHTu3Dk+97nP7XE/7Mjw4cPjU5/6VFx99dXRunXrOPHEE2P+/Pnxb//2b9G/f//4whe+EBFv6fJcffXVcfbZZ8fatWvjtNNOi7q6uli1alU8++yzsWrVqqaPZN/85jfjPe95T7zzne+ML37xi7F9+/a4/PLLo0uXLrF27dqma0+YMCE+9alPxSc+8Yl48sknY+LEidGlS5dYtmxZPProo3HwwQfHZz7zmX3ynLDvmDlzZpPuwsqVK+ORRx6J66+/Ptq0aRO/+c1volevXhHx1p+UXnHFFfHRj340Tj755Dj//PPj9ddfj+985zuxfv36uOyyy7Kv/c53vjPat28fH/7wh+MrX/lKbNmyJX74wx8W/mR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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load LFW dataset\n", "lfw_people = fetch_lfw_people(min_faces_per_person=50, resize=0.4)\n", "\n", "# Images and labels\n", "images = lfw_people.images # Shape: (n_samples, h, w)\n", "labels = lfw_people.target\n", "label_names = lfw_people.target_names\n", "n_samples, h, w = images.shape\n", "\n", "print(f\"Number of samples: {n_samples}, Image shape: {h}x{w}, Number of classes: {len(label_names)}\")\n", "\n", "# Visualize some sample images\n", "fig, axes = plt.subplots(1, 5, figsize=(15, 8))\n", "for i, ax in enumerate(axes.flat):\n", " ax.imshow(images[i], cmap='gray')\n", " ax.set_title(label_names[labels[i]])\n", " ax.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.3 Flatten Images for PCA" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Flatten the images into 1D arrays\n", "X = images.reshape(n_samples, -1) # Shape: (n_samples, h*w)\n", "y = labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.4 Split the Data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training samples: 1170, Test samples: 390\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=42)\n", "\n", "print(f\"Training samples: {len(X_train)}, Test samples: {len(X_test)}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.5 Apply PCA" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original dimension: 1850, Reduced dimension: 50\n" ] } ], "source": [ "# Apply PCA to reduce dimensions\n", "n_components = 50 # Number of principal components (can tune this)\n", "pca = PCA(n_components=n_components, whiten=False, random_state=42)\n", "X_train_pca = pca.fit_transform(X_train)\n", "X_test_pca = pca.transform(X_test)\n", "\n", "print(f\"Original dimension: {X_train.shape[1]}, Reduced dimension: {X_train_pca.shape[1]}\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.6 Visualize Eigenfaces" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the first few principal components (eigenfaces)\n", "eigenfaces = pca.components_.reshape((n_components, h, w))\n", "\n", "fig, axes = plt.subplots(2, 5, figsize=(15, 8))\n", "for i, ax in enumerate(axes.flat[:10]):\n", " ax.imshow(eigenfaces[i], cmap='gray')\n", " ax.set_title(f\"Eigenface {i+1}\")\n", " ax.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.7 Train a Classifier" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SVC(kernel='linear', random_state=42)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "SVC(kernel='linear', random_state=42)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Train a Support Vector Machine (SVM) classifier on PCA-transformed data\n", "clf = SVC(kernel='linear', random_state=42)\n", "clf.fit(X_train_pca, y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.8 Test the Model" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Classification Report:\n", " precision recall f1-score support\n", "\n", " Ariel Sharon 0.52 0.81 0.63 16\n", " Colin Powell 0.76 0.83 0.80 66\n", " Donald Rumsfeld 0.55 0.59 0.57 27\n", " George W Bush 0.81 0.82 0.82 140\n", "Gerhard Schroeder 0.43 0.42 0.43 24\n", " Hugo Chavez 0.65 0.65 0.65 17\n", " Jacques Chirac 0.43 0.30 0.35 10\n", " Jean Chretien 0.69 0.64 0.67 14\n", " John Ashcroft 0.69 0.69 0.69 16\n", "Junichiro Koizumi 1.00 0.82 0.90 11\n", " Serena Williams 0.75 0.67 0.71 9\n", " Tony Blair 0.72 0.53 0.61 40\n", "\n", " accuracy 0.72 390\n", " macro avg 0.67 0.65 0.65 390\n", " weighted avg 0.72 0.72 0.71 390\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Predict on test set\n", "y_pred = clf.predict(X_test_pca)\n", "\n", "# Classification report\n", "print(\"Classification Report:\")\n", "print(classification_report(y_test, y_pred, target_names=label_names))\n", "\n", "# Confusion matrix\n", "conf_matrix = confusion_matrix(y_test, y_pred)\n", "plt.figure(figsize=(10, 8))\n", "plt.imshow(conf_matrix, interpolation='nearest', cmap=plt.cm.Blues)\n", "plt.colorbar()\n", "plt.xticks(np.arange(len(label_names)), label_names, rotation=45)\n", "plt.yticks(np.arange(len(label_names)), label_names)\n", "plt.title(\"Confusion Matrix\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## 4. **Key Takeaways**\n", "1. **Dimensionality Reduction**: PCA reduces high-dimensional images to lower-dimensional representations while retaining significant variance.\n", "2. **Eigenfaces**: PCA captures key facial features, forming the \"eigenfaces\" that represent variations in the dataset.\n", "3. **Recognition**: Classifiers trained on PCA-transformed data can achieve good accuracy with reduced computation.\n", "\n", "---\n", "\n", "## 5. **Exercise**\n", "- Change the number of principal components and observe the effect on accuracy.\n", "- Try other classifiers like `RandomForestClassifier` or `KNeighborsClassifier`.\n", "- Explore clustering on PCA-reduced data." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "# **Part 2: Generative AI: Generating new faces from principal components**\n", "\n", "To generate new faces using the PCA model, we can sample random points in the reduced PCA space and then project these points back into the original image space. These reconstructed images represent new faces as linear combinations of the \"eigenfaces.\"" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Function to generate new faces\n", "def generate_new_faces(pca, n_faces, h, w):\n", " \"\"\"\n", " Generate new faces by sampling in the PCA-reduced space.\n", " \n", " Parameters:\n", " pca: Trained PCA model\n", " n_faces: Number of new faces to generate\n", " h, w: Height and width of original images\n", " \n", " Returns:\n", " new_faces: Generated face images\n", " \"\"\"\n", " # Sample random points in the reduced PCA space\n", " random_points = np.random.normal(0, 1, size=(n_faces, pca.n_components_))\n", " \n", " # Transform back to the original space\n", " new_faces = pca.inverse_transform(random_points)\n", " \n", " # Reshape to original image dimensions\n", " new_faces = new_faces.reshape((n_faces, h, w))\n", " return new_faces\n", "\n", "# Generate new faces\n", "n_generated_faces = 10 # Number of new faces to create\n", "new_faces = generate_new_faces(pca, n_generated_faces, h, w)\n", "\n", "# Visualize the generated faces\n", "fig, axes = plt.subplots(1, n_generated_faces, figsize=(15, 8))\n", "for i, ax in enumerate(axes.flat):\n", " ax.imshow(new_faces[i], cmap='gray')\n", " ax.set_title(f\"Generated {i+1}\")\n", " ax.axis('off')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "### **How It Works**\n", "1. **Random Sampling in PCA Space**: We sample random points in the reduced PCA space. These random points correspond to combinations of principal components (eigenfaces).\n", "2. **Inverse Transformation**: Using `pca.inverse_transform()`, the random points are transformed back into the original image space.\n", "3. **Visualization**: The resulting images are reshaped to their original dimensions (`h x w`) and displayed.\n", "\n", "---\n", "\n", "### **Exercise for Students**\n", "- Experiment with different random distributions (e.g., uniform distribution or varying standard deviations).\n", "- Use specific principal components to modify facial features (e.g., sample points near certain eigenfaces to emphasize specific variations like smiling or lighting).\n", "- Analyze how the choice of the number of principal components affects the quality of generated faces.\n", "\n", "---\n", "\n", "This approach demonstrates how PCA can not only compress and analyze data but also synthesize new samples based on learned patterns." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "cvml", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }