{ "cells": [ { "cell_type": "markdown", "id": "3aee0417", "metadata": {}, "source": [ "# Neural Networks: Foundations & Perceptron\n", "\n", "This notebook covers:\n", "- Historical context and biological inspiration\n", "- Mathematical foundations of single neurons\n", "- Activation functions and their properties\n", "- Perceptron learning algorithm\n", "- Decision boundaries and the XOR problem" ] }, { "cell_type": "code", "execution_count": 1, "id": "7b07ace5", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation\n", "from IPython.display import HTML\n", "from sklearn.datasets import make_blobs, make_classification\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "plt.style.use('seaborn-v0_8-darkgrid')\n", "np.random.seed(42)" ] }, { "cell_type": "markdown", "id": "e88de7b0", "metadata": {}, "source": [ "## 1. Activation Functions Comparison\n", "\n", "Visualizing the core activation functions used in neural networks:\n", "- **Step**: Original perceptron activation\n", "- **Sigmoid**: Smooth, outputs probability-like values\n", "- **Tanh**: Zero-centered variant of sigmoid\n", "- **ReLU**: Modern default choice" ] }, { "cell_type": "code", "execution_count": 2, "id": "643baa5f", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Activation Function Properties:\n", "============================================================\n", "Step: Range [0,1], Non-differentiable, Binary output\n", "Sigmoid: Range (0,1), Max derivative = 0.25, Saturates\n", "Tanh: Range (-1,1), Max derivative = 1, Zero-centered\n", "ReLU: Range [0,∞), Derivative 0 or 1, No saturation\n" ] } ], "source": [ "# Define activation functions\n", "def step(z):\n", " return (z >= 0).astype(float)\n", "\n", "def sigmoid(z):\n", " return 1 / (1 + np.exp(-np.clip(z, -500, 500)))\n", "\n", "def sigmoid_derivative(z):\n", " s = sigmoid(z)\n", " return s * (1 - s)\n", "\n", "def tanh(z):\n", " return np.tanh(z)\n", "\n", "def tanh_derivative(z):\n", " return 1 - np.tanh(z)**2\n", "\n", "def relu(z):\n", " return np.maximum(0, z)\n", "\n", "def relu_derivative(z):\n", " return (z > 0).astype(float)\n", "\n", "# Visualize activation functions\n", "z = np.linspace(-6, 6, 200)\n", "\n", "fig, axes = plt.subplots(2, 4, figsize=(18, 8))\n", "\n", "activations = [\n", " (step, None, 'Step', 'purple'),\n", " (sigmoid, sigmoid_derivative, 'Sigmoid', 'blue'),\n", " (tanh, tanh_derivative, 'Tanh', 'green'),\n", " (relu, relu_derivative, 'ReLU', 'red')\n", "]\n", "\n", "for idx, (func, deriv, name, color) in enumerate(activations):\n", " # Plot function\n", " axes[0, idx].plot(z, func(z), color=color, linewidth=2.5, label=f'{name}(z)')\n", " axes[0, idx].axhline(y=0, color='black', linestyle='--', alpha=0.3)\n", " axes[0, idx].axvline(x=0, color='black', linestyle='--', alpha=0.3)\n", " axes[0, idx].set_title(f'{name} Function', fontsize=13, fontweight='bold')\n", " axes[0, idx].set_xlabel('z', fontsize=11)\n", " axes[0, idx].set_ylabel(f'{name}(z)', fontsize=11)\n", " axes[0, idx].grid(True, alpha=0.3)\n", " axes[0, idx].legend(fontsize=10)\n", " \n", " # Plot derivative\n", " if deriv is not None:\n", " axes[1, idx].plot(z, deriv(z), color=color, linewidth=2.5, \n", " label=f\"{name}'(z)\", linestyle='--')\n", " axes[1, idx].axhline(y=0, color='black', linestyle='--', alpha=0.3)\n", " axes[1, idx].axvline(x=0, color='black', linestyle='--', alpha=0.3)\n", " axes[1, idx].set_title(f'{name} Derivative', fontsize=13, fontweight='bold')\n", " axes[1, idx].set_xlabel('z', fontsize=11)\n", " axes[1, idx].set_ylabel(f\"{name}'(z)\", fontsize=11)\n", " axes[1, idx].grid(True, alpha=0.3)\n", " axes[1, idx].legend(fontsize=10)\n", " else:\n", " axes[1, idx].text(0.5, 0.5, 'Non-differentiable\\nat z=0', \n", " ha='center', va='center', fontsize=12, \n", " transform=axes[1, idx].transAxes)\n", " axes[1, idx].set_title(f'{name} Derivative', fontsize=13, fontweight='bold')\n", " axes[1, idx].axis('off')\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"Activation Function Properties:\")\n", "print(\"=\"*60)\n", "print(\"Step: Range [0,1], Non-differentiable, Binary output\")\n", "print(\"Sigmoid: Range (0,1), Max derivative = 0.25, Saturates\")\n", "print(\"Tanh: Range (-1,1), Max derivative = 1, Zero-centered\")\n", "print(\"ReLU: Range [0,∞), Derivative 0 or 1, No saturation\")" ] }, { "cell_type": "markdown", "id": "79fd6c51", "metadata": {}, "source": [ "## 2. Perceptron Model Implementation\n", "\n", "Mathematical model: $y = f(\\mathbf{w} \\cdot \\mathbf{x} + b)$\n", "\n", "Where:\n", "- $\\mathbf{x}$: Input vector\n", "- $\\mathbf{w}$: Weight vector\n", "- $b$: Bias term\n", "- $f$: Activation function" ] }, { "cell_type": "code", "execution_count": 3, "id": "3da2971c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Perceptron class defined successfully!\n" ] } ], "source": [ "class Perceptron:\n", " def __init__(self, n_features, learning_rate=0.1):\n", " \"\"\"Initialize perceptron with random weights\"\"\"\n", " self.weights = np.zeros(n_features)\n", " self.bias = 0.0\n", " self.learning_rate = learning_rate\n", " self.history = {'weights': [], 'bias': [], 'errors': []}\n", " \n", " def activate(self, z):\n", " \"\"\"Step activation function\"\"\"\n", " return 1 if z >= 0 else 0\n", " \n", " def predict(self, X):\n", " \"\"\"Make predictions for input X\"\"\"\n", " z = np.dot(X, self.weights) + self.bias\n", " if z.ndim == 0: # Single prediction\n", " return self.activate(z)\n", " return np.array([self.activate(zi) for zi in z])\n", " \n", " def fit(self, X, y, epochs=100):\n", " \"\"\"Train the perceptron using the learning algorithm\"\"\"\n", " n_samples = X.shape[0]\n", " \n", " for epoch in range(epochs):\n", " errors = 0\n", " \n", " for xi, yi in zip(X, y):\n", " # Compute prediction\n", " prediction = self.predict(xi)\n", " \n", " # Calculate error\n", " error = yi - prediction\n", " \n", " # Update weights and bias\n", " if error != 0:\n", " self.weights += self.learning_rate * error * xi\n", " self.bias += self.learning_rate * error\n", " errors += 1\n", " \n", " # Store history\n", " self.history['weights'].append(self.weights.copy())\n", " self.history['bias'].append(self.bias)\n", " self.history['errors'].append(errors)\n", " \n", " # Check convergence\n", " if errors == 0:\n", " print(f\"Converged at epoch {epoch+1}\")\n", " break\n", " \n", " return self\n", " \n", " def decision_function(self, X):\n", " \"\"\"Compute the decision function (before activation)\"\"\"\n", " return np.dot(X, self.weights) + self.bias\n", "\n", "print(\"Perceptron class defined successfully!\")" ] }, { "cell_type": "markdown", "id": "6e3e4278", "metadata": {}, "source": [ "## 3. Training on Linearly Separable Data\n", "\n", "Let's train a perceptron on a simple 2D linearly separable dataset" ] }, { "cell_type": "code", "execution_count": 4, "id": "2c301379", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Converged at epoch 3\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Final weights: [0.32022487 0.29293239]\n", "Final bias: 0.0000\n", "Accuracy: 1.0000\n" ] } ], "source": [ "# Generate linearly separable data\n", "np.random.seed(42)\n", "X_train = np.random.randn(100, 2)\n", "y_train = (X_train[:, 0] + X_train[:, 1] > 0).astype(int)\n", "\n", "# Visualize the data\n", "plt.figure(figsize=(10, 5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.scatter(X_train[y_train==0, 0], X_train[y_train==0, 1], \n", " c='blue', label='Class 0', s=60, alpha=0.7, edgecolors='k')\n", "plt.scatter(X_train[y_train==1, 0], X_train[y_train==1, 1], \n", " c='red', label='Class 1', s=60, alpha=0.7, edgecolors='k')\n", "plt.title('Linearly Separable Data', fontsize=14, fontweight='bold')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.axhline(y=0, color='k', linestyle='--', alpha=0.3)\n", "plt.axvline(x=0, color='k', linestyle='--', alpha=0.3)\n", "\n", "# Train perceptron\n", "perceptron = Perceptron(n_features=2, learning_rate=0.1)\n", "perceptron.fit(X_train, y_train, epochs=50)\n", "\n", "# Plot decision boundary\n", "plt.subplot(1, 2, 2)\n", "x_min, x_max = X_train[:, 0].min() - 1, X_train[:, 0].max() + 1\n", "y_min, y_max = X_train[:, 1].min() - 1, X_train[:, 1].max() + 1\n", "xx, yy = np.meshgrid(np.linspace(x_min, x_max, 200),\n", " np.linspace(y_min, y_max, 200))\n", "Z = perceptron.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "\n", "plt.contourf(xx, yy, Z, levels=[-100, 0, 100], colors=['lightblue', 'lightcoral'], alpha=0.4)\n", "plt.contour(xx, yy, Z, levels=[0], colors='black', linewidths=2.5)\n", "plt.scatter(X_train[y_train==0, 0], X_train[y_train==0, 1], \n", " c='blue', label='Class 0', s=60, alpha=0.7, edgecolors='k')\n", "plt.scatter(X_train[y_train==1, 0], X_train[y_train==1, 1], \n", " c='red', label='Class 1', s=60, alpha=0.7, edgecolors='k')\n", "plt.title('Perceptron Decision Boundary', fontsize=14, fontweight='bold')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(f\"\\nFinal weights: {perceptron.weights}\")\n", "print(f\"Final bias: {perceptron.bias:.4f}\")\n", "print(f\"Accuracy: {np.mean(perceptron.predict(X_train) == y_train):.4f}\")" ] }, { "cell_type": "markdown", "id": "6ddca2d7", "metadata": {}, "source": [ "## 4. Learning Process Visualization\n", "\n", "Track how the decision boundary evolves during training" ] }, { "cell_type": "code", "execution_count": 5, "id": "2706926b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Key Observation:\n", "- Weight vector is perpendicular to the decision boundary\n", "- Errors decrease to zero (convergence for linearly separable data)\n" ] } ], "source": [ "# Plot error curve and weight evolution\n", "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", "\n", "# Error curve\n", "axes[0].plot(perceptron.history['errors'], linewidth=2.5, marker='o', markersize=6)\n", "axes[0].set_title('Training Errors per Epoch', fontsize=14, fontweight='bold')\n", "axes[0].set_xlabel('Epoch')\n", "axes[0].set_ylabel('Number of Misclassifications')\n", "axes[0].grid(True, alpha=0.3)\n", "\n", "# Weight evolution\n", "weights_history = np.array(perceptron.history['weights'])\n", "axes[1].plot(weights_history[:, 0], label='Weight 1', linewidth=2.5, marker='o', markersize=5)\n", "axes[1].plot(weights_history[:, 1], label='Weight 2', linewidth=2.5, marker='s', markersize=5)\n", "axes[1].plot(perceptron.history['bias'], label='Bias', linewidth=2.5, marker='^', markersize=5)\n", "axes[1].set_title('Weight Evolution', fontsize=14, fontweight='bold')\n", "axes[1].set_xlabel('Epoch')\n", "axes[1].set_ylabel('Parameter Value')\n", "axes[1].legend()\n", "axes[1].grid(True, alpha=0.3)\n", "\n", "# Weight vector in 2D space\n", "axes[2].quiver(0, 0, perceptron.weights[0], perceptron.weights[1], \n", " angles='xy', scale_units='xy', scale=1, color='purple', width=0.01, \n", " label='Weight Vector')\n", "# Plot decision boundary perpendicular to weight vector\n", "if perceptron.weights[1] != 0:\n", " x_line = np.array([x_min, x_max])\n", " y_line = -(perceptron.weights[0] * x_line + perceptron.bias) / perceptron.weights[1]\n", " axes[2].plot(x_line, y_line, 'k--', linewidth=2, label='Decision Boundary')\n", "axes[2].scatter(X_train[y_train==0, 0], X_train[y_train==0, 1], \n", " c='blue', alpha=0.4, s=40, edgecolors='k')\n", "axes[2].scatter(X_train[y_train==1, 0], X_train[y_train==1, 1], \n", " c='red', alpha=0.4, s=40, edgecolors='k')\n", "axes[2].set_title('Weight Vector Geometry', fontsize=14, fontweight='bold')\n", "axes[2].set_xlabel('Feature 1')\n", "axes[2].set_ylabel('Feature 2')\n", "axes[2].set_xlim(x_min, x_max)\n", "axes[2].set_ylim(y_min, y_max)\n", "axes[2].axhline(y=0, color='k', linestyle='--', alpha=0.2)\n", "axes[2].axvline(x=0, color='k', linestyle='--', alpha=0.2)\n", "axes[2].legend()\n", "axes[2].grid(True, alpha=0.3)\n", "axes[2].set_aspect('equal')\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"Key Observation:\")\n", "print(\"- Weight vector is perpendicular to the decision boundary\")\n", "print(\"- Errors decrease to zero (convergence for linearly separable data)\")" ] }, { "cell_type": "markdown", "id": "fabdceaa", "metadata": {}, "source": [ "## 5. The XOR Problem - Perceptron's Limitation\n", "\n", "Demonstrating why a single perceptron cannot solve XOR:\n", "\n", "| $x_1$ | $x_2$ | XOR |\n", "|-------|-------|-----|\n", "| 0 | 0 | 0 |\n", "| 0 | 1 | 1 |\n", "| 1 | 0 | 1 |\n", "| 1 | 1 | 0 |" ] }, { "cell_type": "code", "execution_count": null, "id": "255b6cf5", "metadata": {}, "outputs": [ { "ename": "IndexError", "evalue": "invalid index to scalar variable.", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mIndexError\u001b[39m Traceback (most recent call last)", "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[6]\u001b[39m\u001b[32m, line 18\u001b[39m\n\u001b[32m 15\u001b[39m axes[\u001b[32m0\u001b[39m].scatter(X_xor[y_xor==\u001b[32m1\u001b[39m, \u001b[32m0\u001b[39m], X_xor[y_xor==\u001b[32m1\u001b[39m, \u001b[32m1\u001b[39m], \n\u001b[32m 16\u001b[39m c=\u001b[33m'\u001b[39m\u001b[33mred\u001b[39m\u001b[33m'\u001b[39m, s=\u001b[32m300\u001b[39m, alpha=\u001b[32m0.7\u001b[39m, edgecolors=\u001b[33m'\u001b[39m\u001b[33mk\u001b[39m\u001b[33m'\u001b[39m, linewidth=\u001b[32m2\u001b[39m, label=\u001b[33m'\u001b[39m\u001b[33mClass 1\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m 17\u001b[39m \u001b[38;5;28;01mfor\u001b[39;00m i, (x, y) \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(X_xor):\n\u001b[32m---> \u001b[39m\u001b[32m18\u001b[39m axes[\u001b[32m0\u001b[39m].annotate(\u001b[33mf\u001b[39m\u001b[33m'\u001b[39m\u001b[33m(\u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mint\u001b[39m(x[\u001b[32m0\u001b[39m])\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m,\u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mint\u001b[39m(x[\u001b[32m1\u001b[39m])\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m)\u001b[39m\u001b[33m'\u001b[39m, xy=(x[\u001b[32m0\u001b[39m], x[\u001b[32m1\u001b[39m]), \n\u001b[32m 19\u001b[39m xytext=(\u001b[32m10\u001b[39m, \u001b[32m10\u001b[39m), textcoords=\u001b[33m'\u001b[39m\u001b[33moffset points\u001b[39m\u001b[33m'\u001b[39m, fontsize=\u001b[32m12\u001b[39m, fontweight=\u001b[33m'\u001b[39m\u001b[33mbold\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m 20\u001b[39m axes[\u001b[32m0\u001b[39m].set_xlim(-\u001b[32m0.5\u001b[39m, \u001b[32m1.5\u001b[39m)\n\u001b[32m 21\u001b[39m axes[\u001b[32m0\u001b[39m].set_ylim(-\u001b[32m0.5\u001b[39m, \u001b[32m1.5\u001b[39m)\n", "\u001b[31mIndexError\u001b[39m: invalid index to scalar variable." ] }, { "data": { "image/png": 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WRlSMierqU2Phwotj0aJL3Z8U4CTyxj29pmZn9PREdHbmoqdnV5SU7I3+/gNRURFRWZlERUXY0wEAAGCEGJYFdcTBN9l6//uvjMsuuyJ+9at1sWHDC/HKKy/Htm0tUVoaceBARF1dfUyZcnacc87MOO+8higrG7bfLsCIZk8HAACA0WnY/3VfVlYWc+bMizlz5kVERC4XUVMzLlpb90aSZLw4AIpiTwcAAIDRpSTrBQAAAAAAMDopqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAEagtra2aGxsjLlz58b8+fNjxYoV0dfXd8Rzv/Od78SFF14Y559/flx22WXx2GOPDfFqAWB0Mq8BQEENACPSsmXLorKyMtasWRP3339/PPPMM3HnnXcedt5TTz0Vt99+e/zDP/xDPPfcc3HdddfFsmXL4ne/+93QLxoARhnzGgAU1AAw4mzevDmamprihhtuiHw+H2eccUY0NjbG3Xfffdi5L730UiRJcuijtLQ0ysvLo6ysLIOVA8DoYV4DwEGmGQCMMBs3bozq6uqora09dGzq1KmxdevW2LNnT4wfP/7Q8fe9733xgx/8IBYvXhylpaWRy+Xiy1/+ctTV1R3zMXK5E7b8UWEgPzkeHzmmQ47pkGM6RlN+5vXJz891OuSYDjmmQ47pSDs/BTUAjDAdHR2Rz+cHHRv4vLOzc9AfvL29vTFz5sxYsWJFzJw5Mx566KG48cYbY+rUqXHOOecc9TEmTRp3YhY/ysgxHXJMhxzTIUcKZV4PH3JMhxzTIcd0yPHkoqAGgBGmsrIyurq6Bh0b+LyqqmrQ8ZtvvjnOP//8eOc73xkRER/4wAfi4YcfjgceeCD+5m/+5qiP0da2N5Ik5YWPIrncwV+K5Xh85JgOOaZDjukYyHE0MK9Pfn6u0yHHdMgxHXJMR9rzWkENACPM9OnTY9euXdHa2ho1NTUREbFp06aoq6uLceMG/xKxdevWmDVr1qBjZWVlUV5efszHSJLwC10K5JgOOaZDjumQI4Uyr4cPOaZDjumQYzrkeHLxJokAMMJMmTIl5syZE7fcckvs27cvXn311Vi1alVceeWVh5174YUXxne/+91Yv3599Pf3x6OPPhpr166NxYsXZ7ByABg9zGsAOMgzqAFgBFq5cmUsX748Fi5cGCUlJXHFFVdEY2NjREQ0NDTETTfdFEuWLInrrrsuSktLY+nSpbF79+4466yz4rbbbos//MM/zPg7AICRz7wGgIhckpwcT2jfsWNvKtfJ5SJqasZFa6t7yRyLnAonq8LJqjByKlzaWU2ePDruaTkU/Pd7fOwD6ZBjOuSYDjmmYyBH0uG/x+Pj5zodckyHHNMhx3SkPa/d4gMAAAAAgEwUXVC3tbVFY2NjzJ07N+bPnx8rVqyIvr6+I577ne98Jy688MI4//zz47LLLovHHnvsuBcMAAAAAMDIUHRBvWzZsqisrIw1a9bE/fffH88880zceeedh5331FNPxe233x7/8A//EM8991xcd911sWzZsvjd736XxroBAAAAABjmiiqoN2/eHE1NTXHDDTdEPp+PM844IxobG+Puu+8+7NyXXnopkiQ59FFaWhrl5eVRVuZ9GQEAAAAAiCiqLd64cWNUV1dHbW3toWNTp06NrVu3xp49e2L8+PGHjr/vfe+LH/zgB7F48eIoLS2NXC4XX/7yl6Ouru6o18/l3sJ3cJRrpHGtkUxOhZNV4WRVGDkVTlYAAAAwshVVUHd0dEQ+nx90bODzzs7OQQV1b29vzJw5M1asWBEzZ86Mhx56KG688caYOnVqnHPOOYdde+LEqigtTe89GydN8s7PhZBT4WRVOFkVRk6FkxUAAACMTEUV1JWVldHV1TXo2MDnVVVVg47ffPPNcf7558c73/nOiIj4wAc+EA8//HA88MAD8Td/8zeHXbu9vSO1Z1BPmjQu2tr2RpIc//VGKjkVTlaFk1Vh5FS4tLOqqVF0AwAAwMmkqIJ6+vTpsWvXrmhtbY2ampqIiNi0aVPU1dXFuHGD/+jfunVrzJo1a/CDlZVFeXn5Ua+fZlGTJOleb6SSU+FkVThZFUZOhZMVAAAAjExF3VNjypQpMWfOnLjlllti37598eqrr8aqVaviyiuvPOzcCy+8ML773e/G+vXro7+/Px599NFYu3ZtLF68OLXFAwAAAAAwfBX1DOqIiJUrV8by5ctj4cKFUVJSEldccUU0NjZGRERDQ0PcdNNNsWTJkrjuuuuitLQ0li5dGrt3746zzjorbrvttvjDP/zD1L8JAAAAAACGn6IL6pqamli5cuUR/23dunX/78JlZbF06dJYunTpW18dAAAAAAAjVlG3+AAAAAAAgLQoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgAAAACATCioAQAAAADIhIIaAAAAAIBMKKgBAAAAAMiEghoAAAAAgEwoqAEAAAAAyISCGgBGoLa2tmhsbIy5c+fG/PnzY8WKFdHX13fEc5uamuJP/uRPoqGhId797nfH7bffPsSrBYDRybwGAAU1AIxIy5Yti8rKylizZk3cf//98cwzz8Sdd9552HmbNm2Kv/qrv4prrrkmnnvuubj99tvjH//xH+PRRx8d+kUDwChjXgOAghoARpzNmzdHU1NT3HDDDZHP5+OMM86IxsbGuPvuuw8795577omFCxfG+9///sjlcjFz5sz43ve+F3PmzMlg5QAwepjXAHBQWbFf0NbWFp/73OeiqakpSktLY8mSJfGZz3wmysoOv1RTU1N8+ctfjubm5hg/fnxcc8018ZGPfCSVhQMAR7Zx48aorq6O2traQ8emTp0aW7dujT179sT48eMPHf/1r38d//7f//v41Kc+Fb/4xS9i4sSJ8Rd/8Rdx9dVXH/MxcrkTtvxRYSA/OR4fOaZDjumQYzpGU37m9cnPz3U65JgOOaZDjulIO7+iC+ply5ZFbW1trFmzJlpbW+NjH/tY3HnnnXHttdcOOm/gJUj//b//97jiiitiw4YN8ed//udx1llnxX/8j/8xtW8AABiso6Mj8vn8oGMDn3d2dg76g3f37t1x1113xde//vX4H//jf8S6deviIx/5SEyYMOGY83rSpHEnZvGjjBzTIcd0yDEdcqRQ5vXwIcd0yDEdckyHHE8uRRXUAy9Bevrppwe9BOnLX/7yYQX161+CFBGHXoJ0yimnpLd6AOAwlZWV0dXVNejYwOdVVVWDjo8ZMyYWLlwY73nPeyIiYt68eXH55ZfH6tWrj/kHb1vb3kiSdNc9muRyB38pluPxkWM65JgOOaZjIMfRwLw++fm5Tocc0yHHdMgxHWnP66IK6qF4CRIAcHymT58eu3btitbW1qipqYmIg69sqquri3HjBv8SMXXq1Ni/f/+gYwcOHIjkTX5bS5LwC10K5JgOOaZDjumQI4Uyr4cPOaZDjumQYzrkeHIp6k0S3+wlSK838BKkJUuWxC9+8YtYvnx5fOlLXzrmuwzncul8pHmtkfwhJ1nJSk7D4SPt+TAaTJkyJebMmRO33HJL7Nu3L1599dVYtWpVXHnllYed+8EPfjCeeOKJ+NGPfhRJksSzzz4bDz30UFx++eUZrBwARg/zGgAOKuoZ1CfyJUgTJ1ZFaWlRffkxjZaXhR0vORVOVoWTVWHkVDhZFW/lypWxfPnyWLhwYZSUlMQVV1wRjY2NERHR0NAQN910UyxZsiT++I//OFatWhUrV66Mm266KSZOnBif+cxnYuHChRl/BwAw8pnXAFBkQX0iX4LU3t6RyrPbcjn3kimEnAonq8LJqjByKlzaWdXUjJ6iu6amJlauXHnEf1u3bt2gz9/97nfHu9/97qFYFgDwOuY1ABRZUL/+JUjLly+PnTt3HvMlSNdee2386Ec/iiVLlsQvf/nLeOihh+IrX/nKUa+fZlHjXjKFkVPhZFU4WRVGToWTFQAAAIxMRd9TY+XKldHX1xcLFy6Mq666KhYsWDDoJUgPPvhgRMShlyDdddddMWfOnPjsZz/rJUgAAAAAABxS1DOoI7wECQAAAACAdKT3roQAAAAAAFAEBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZKLqgbmtri8bGxpg7d27Mnz8/VqxYEX19fcf8mhdffDHOO++8WLt27VteKAAAAAAAI0vRBfWyZcuisrIy1qxZE/fff38888wzceeddx71/K6urvjrv/7r6O7uPp51AgAAAAAwwhRVUG/evDmamprihhtuiHw+H2eccUY0NjbG3XfffdSvuemmm+Kiiy467oUCAAAAADCyFFVQb9y4Maqrq6O2tvbQsalTp8bWrVtjz549h53/wx/+MDZv3hzXXXfd8a8UAAAAAIARpaiCuqOjI/L5/KBjA593dnYOOr5p06b4+te/Hl/96lejtLS0oOvncul8pHmtkfwhJ1nJSk7D4SPt+TBaeM8IADj5mdcAEFFWzMmVlZXR1dU16NjA51VVVYeO9fT0xCc/+cn427/92zjttNMKuvbEiVVRWlr0LbGPatKkcaldaySTU+FkVThZFUZOhZNV8ZYtWxa1tbWxZs2aaG1tjY997GNx5513xrXXXnvE871nBAAMPfMaAIosqKdPnx67du2K1tbWqKmpiYiDz5Suq6uLceP+X3nwL//yL/HKK6/EjTfeGDfeeOOh4x/96Efj8ssvj89//vOHXbu9vSOVZ7flcgeLjLa2vZEkx3+9kUpOhZNV4WRVGDkVLu2sampGR9E98J4RTz/99KD3jPjyl7981D94B94z4sUXXxzi1QLA6GReA8BBRRXUU6ZMiTlz5sQtt9wSy5cvj507d8aqVaviyiuvHHTe3Llz49e//vWgY+ecc078r//1v2L+/PlHvX6aRU2SpHu9kUpOhZNV4WRVGDkVTlbFebP3jBg/fvyg8wfeM2LFihWxatWqgh5jtN0yJW2vv30Nb50c0yHHdMgxHaMpP/P65OfnOh1yTIcc0yHHdKSdX1EFdUTEypUrY/ny5bFw4cIoKSmJK664IhobGyMioqGhIW666aZYsmRJuqsEAAr2Zu8Z8fo/eAfeM+Lee+8t+D0jItx2JS1yTIcc0yHHdMiRQpnXw4cc0yHHdMgxHXI8uRRdUNfU1MTKlSuP+G/r1q076tdt2LCh2IcCAN6CE/meEQPcoub4uNVPOuSYDjmmQ47pGMhxNDCvT35+rtMhx3TIMR1yTEfa87roghoAOLmdyPeMGOC2K+mQYzrkmA45pkOOFMq8Hj7kmA45pkOO6ZDjyUVBDQAjzIl+zwgA4PiZ1wBwUEnWCwAA0rdy5cro6+uLhQsXxlVXXRULFiwY9J4RDz74YMYrBADMawDwDGoAGJG8ZwQAnPzMawDwDGoAAAAAADKioAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBMKagAAAAAAMqGgBgAAAAAgEwpqAAAAAAAyoaAGAAAAACATCmoAAAAAADKhoAYAAAAAIBNFF9RtbW3R2NgYc+fOjfnz58eKFSuir6/viOfee++9cckll0RDQ0Nccsklcffddx/3ggEAAAAAGBmKLqiXLVsWlZWVsWbNmrj//vvjmWeeiTvvvPOw837605/G1772tfjSl74Uzz33XNx6663xjW98Ix577LE01g0AAAAAwDBXVEG9efPmaGpqihtuuCHy+XycccYZ0djYeMRnRm/fvj0+/OEPx+zZsyOXy0VDQ0PMnz8/nn322dQWDwAAAADA8FVWzMkbN26M6urqqK2tPXRs6tSpsXXr1tizZ0+MHz/+0PEPfehDg762ra0tnn322fjsZz97nEsGAAAAAGAkKKqg7ujoiHw+P+jYwOednZ2DCurX27FjR3zkIx+JWbNmxaWXXnrU6+dyxazm2NdI41ojmZwKJ6vCyaowciqcrAAAAGBkK6qgrqysjK6urkHHBj6vqqo64tc8//zzcf3118fcuXPji1/8YpSVHfkhJ06sitLSom+JfVSTJo1L7VojmZwKJ6vCyaowciqcrAAAAGBkKqqgnj59euzatStaW1ujpqYmIiI2bdoUdXV1MW7c4eXB/fffH1/4whfiE5/4RPzlX/7lMa/d3t6R2jOoJ00aF21teyNJjv96I5WcCierwsmqMHIqXNpZ1dQougEAAOBkUlRBPWXKlJgzZ07ccsstsXz58ti5c2esWrUqrrzyysPOfeyxx+Lzn/98fPvb344FCxYUdP00i5okSfd6I5WcCierwsmqMHIqnKwAAABgZCr6nhorV66Mvr6+WLhwYVx11VWxYMGCaGxsjIiIhoaGePDBByMi4lvf+lYcOHAgPvGJT0RDQ8Ohj7//+79P9zsAAAAAAGBYKuoZ1BERNTU1sXLlyiP+27p16w793w899NBbXxUAAAAAACNeeu9KCAAAAAAARVBQA8AI1NbWFo2NjTF37tyYP39+rFixIvr6+o547r333huXXHJJNDQ0xCWXXBJ33333EK8WAEYn8xoAFNQAMCItW7YsKisrY82aNXH//ffHM888E3feeedh5/30pz+Nr33ta/GlL30pnnvuubj11lvjG9/4Rjz22GNDv2gAGGXMawBQUAPAiLN58+ZoamqKG264IfL5fJxxxhnR2Nh4xGdabd++PT784Q/H7NmzI5fLRUNDQ8yfPz+effbZDFYOAKOHeQ0ABxX9JokAwMlt48aNUV1dHbW1tYeOTZ06NbZu3Rp79uyJ8ePHHzr+oQ99aNDXtrW1xbPPPhuf/exnj/kYuVy6ax5tBvKT4/GRYzrkmA45pmM05Wden/z8XKdDjumQYzrkmI6081NQA8AI09HREfl8ftCxgc87OzsH/cH7ejt27IiPfOQjMWvWrLj00kuP+RiTJo1LZ7GjnBzTIcd0yDEdcqRQ5vXwIcd0yDEdckyHHE8uCmoAGGEqKyujq6tr0LGBz6uqqo74Nc8//3xcf/31MXfu3PjiF78YZWXH/hWhrW1vJEk66x2NcrmDvxTL8fjIMR1yTIcc0zGQ42hgXp/8/FynQ47pkGM65JiOtOe1ghoARpjp06fHrl27orW1NWpqaiIiYtOmTVFXVxfjxh3+S8T9998fX/jCF+ITn/hE/OVf/mVBj5Ek4Re6FMgxHXJMhxzTIUcKZV4PH3JMhxzTIcd0yPHk4k0SAWCEmTJlSsyZMyduueWW2LdvX7z66quxatWquPLKKw8797HHHovPf/7z8c1vfrPgP3YBgONnXgPAQQpqABiBVq5cGX19fbFw4cK46qqrYsGCBdHY2BgREQ0NDfHggw9GRMS3vvWtOHDgQHziE5+IhoaGQx9///d/n+XyAWBUMK8BwC0+AGBEqqmpiZUrVx7x39atW3fo/37ooYeGakkAwBuY1wDgGdQAAAAAAGREQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkQkENAAAAAEAmFNQAAAAAAGRCQQ0AAAAAQCYU1AAAAAAAZEJBDQAAAABAJhTUAAAAAABkoizrBRyvvr6++NWv1sWGDS/Eyy+/FNu3b4vS0ogDByJqa+vi7LP/IM45Z2acd15DlJUN+28XYESzpwMAAMDoMmz/uu/u7o7Vqx+OJ554PHbt2hk9PRGdnbno6YkoKSmN/v4DsWlTezz//PqoqHgoqqtPjYULL45Fiy6NsWPHZr18AF7njXt69PRErrMzcj3dUVaSi77+JHZuao5/ff65eKSiwp4OAAAAI8SwLKjXr/9N3HHHt+O113ZEW1suWltLoqsrFxER5eXjo6wsH319XdHbuyciIvL5JGpqdkV7+/fj6ad/Htde+9E499xZWX4LAPzewJ7e+tr2yLW1RWnrjsh1dUVExITyssiXlUVXX1/s7u2LiIgkn4/dNZPj/2tvs6cDAADAMDfsCupHHnk47rnnrti7NxdbtpTE/v0lMWHC/Kivf29UVZ0T5eXVMWZMWezf3xe9vbuio2NDtLc/Gb/73dp47bX+6OjYEV/84vK45po/i8WLL8362wEY1Qb29NzevVG6ZXOU7O+JCyZUx3vrT4sZVVVxann5oT19Z29vvNjREU+2t0XT77ZE/2vbo7Wjw54OAAAAw9iwKqgHioxt23LR0lISp5xybkybdl1UVNQf8fzy8uqorp4f1dXzo6enJbZs+VY0N6+P+vr+uOeeuyIiFBoAGTlUTm/bFqUt/xZvP+WU+Pi0aVFfceRbdlSXl8cF1dVxQXV1tPR0x21bNsdvm1+MA/Wn29MBAABgmCrJegGFWr/+N4fK6a1bS6Ku7uqYNu0LRy2n36iioj6mTftC1NVdHVu3lsT27bm45567Yv3635zglQPwRgN7em7btijd+m9xVV193DxtxlHL6TeqrxgbN0+bEVfV1Ufp1n+L3PZt9nQAAAAYhoZFQd3d3R133PHt2Lv34DOn6+uvjvr6P41cLlfUdXK5XNTX/2nU1x8sqffuzcUdd3w7uru7T9DKAXijgT09t3dvlLb8W1xVXx8frD/tLe3pH6w/La6q/31JvXevPR0AAACGmWFRUK9e/XC89tqO2LIlF6eccm7U1X3wuK5XV/fBOOWUc2PLlly89tqOWL364ZRWCsCbWb364Wh9bXuUbNkcbz/llLi6rrBXwhzN1XX18fZTTomSLZuj9bXt9nQAAAAYRoouqNva2qKxsTHmzp0b8+fPjxUrVkRfX98Rz33qqafisssui9mzZ8eiRYviySefLHqBfX198cQTj0dbWy727y+JM8+8ruhn2b1RLpeLM8+8LvbvL4n29lw88cTjR/0eAEjPwJ6ea2uLkv098fEzz0plT//4mWdFyf6eyLW32dMBAABgGCm6oF62bFlUVlbGmjVr4v77749nnnkm7rzzzsPOe+WVV2Lp0qVx/fXXxy9/+ctYunRpLFu2LLZv317U4/3qV+ti166d0dqaiwkT5hd8z+k3U1FRHxMmXBA7duRi166d8atfrUvlugAc3cCeXtK6Iy6YUF3wPaffTH3F2Jg3oTpKduywpwMAAMAwUlRBvXnz5mhqaoobbrgh8vl8nHHGGdHY2Bh33333Yec+8MADMXfu3LjooouirKwsFi9eHPPmzYv77ruvqAVu2PBC9PREdHXlYuLE9xb1tW9m4sQLo6srFz09Bx8HgBNrw4YXInp6ItfVFe+dOCnVa184cVLkuroievbb0wEAAGCYKKqg3rhxY1RXV0dtbe2hY1OnTo2tW7fGnj17Bp3b3NwcM2bMGHRs2rRp8cILxZUGL7/8UnR2Hnz5d1XVOUV97Zupqjq4vs7OXLzyysupXhuAw7388kuR6+yMiIgZVVWpXnv676+X6+y0pwMAAMAwUVbMyR0dHZHP5wcdG/i8s7Mzxo8ff8xzx44dG52/LyaO5Ei3Id2+fVv09ESUl4+P8vLqYpb7psrLT43y8vHR07Mrtm1rOeLjj1QD3+to+p7fKlkVTlaFGc05bd++LXI93TGhvCxOLS8v6mvfLK6J5eUxobwsdvZ0jbo9HQAAAIarogrqysrK6OrqGnRs4POqNzwTLp/PR3d396Bj3d3dh503YOLEqigtPfwJ3aWlESUlpVFWlo8xYwpfbqHnlpXlo6Rkb5SWRtTUjCv4+iPFpEmj73t+q2RVOFkVZjTmVFoaUVaSi3xZ2QnZ0/NlZbG3JDdq93QAAAAYbooqqKdPnx67du2K1tbWqKmpiYiITZs2RV1dXYwbN7gImDFjRqxfv37Qsebm5pg1a9YRr93e3nHEZ7sdOBDR338g+vq6Yv/+voLWOWZMWcHn9vV1RX//gThwIKK1dW9BXzMS5HIHy7G2tr2RJFmv5uQmq8LJqjCjOacDByL6+pPo6us7IXt6V19f9PUnR93TldYAAABwcinqHtRTpkyJOXPmxC233BL79u2LV199NVatWhVXXnnlYecuWbIkmpqa4pFHHom+vr545JFHoqmpKS6//PKjXj9JDv+ora2LioqI3t490du7q+hv8Fh6e3dGb++eqKiIqKurP+Ljj+SPo2XuQ1ayktOJ+qitrYukYmzs7u2Lnb29kUQc82PQjHiTj/be3tjd2xdJRf6oezoAAABwcimqoI6IWLlyZfT19cXChQvjqquuigULFkRjY2NERDQ0NMSDDz4YEQffPPG2226L22+/PebNmxerVq2Kb37zm3H22WcX9Xhnn/0HUVl5sFXo6NhQ7HKPqaPjxYiIqKxMYsqU4tYFQPHOPvsPIqmsjIiIFzs6Ur32xt9fL6mstKcDAADAMFHULT4iImpqamLlypVH/Ld169YN+nzBggWxYMGCt7ay3zvnnJlRUfFQ5PNJtLc/GdXV84/req/X3v6zyOeTqKg4+DgAnFjnnDMzHqmoiCSfjyfb2+KC6urUrv2z9rZI8vmIijH2dAAAABgmin4G9VA777yGqK4+NWpqkti9e2309LSkct2enpbYvbspJk9Oorr61Jg9+/xUrgvA0Q3s6f01k6Np965o6el+8y8qQEtPdzy7e1f0T55sTwcAAIBh5KQvqMvKymLhwotj0qQkxozpjy1bvhXJcd5INEmS2LLlWzFmTH9MnJjEwoUXR2lpaUorBuBoBvb0ZNKk6B9TEbdt2ZzKnn7bls3RP6YikomT7OkAAAAwjJz0BXVExKJFl8bb3jY5zjwziX371se2bd87rutt2/a92LdvfZx5ZhK1tW+LRYsuTWmlALyZRYsujZq31Ub/mWfFb/fti/u2Hd8rY+7b1hK/3bcv+s88KybX1tnTAQAAYBgZFgX12LFj48Mf/liMG5dEfX1/tLTcFy0t9xb9rLskSaKl5d5oabkvTjutP8aNS+Laaz8aY8eOPUErB+CNBvb0ZNy4OFB/eny/pSW+17L1Le3p32vZGt9vaYkDp50eybhx9nQAAAAYZoZFQR0Rce65s+Kaa/4s6uqSOP30/ti27b5obv67gu9J3dPTEs3Nfxfbtt0Xp5/eH7W1SVxzzZ/FuefOOsErB+CNBvb0pK4uDpx+enx/W0t8rvnFgu9J3dLTHZ9rfjG+v60lDpx+eiS1dfZ0AAAAGIbKsl5AMRYvPviy7XvuuSsqK/tjy5bfxG9/2xgTJlwQEydeGFVVM6K8/NRD5/f27oyOjhejvf1nsXt3U4wZ0x/TpiUxbtzBcnrgegAMvdfv6Qcqq2L9ls1x3W/Xx7wJ1XHhxEkxvaoqJpaXHzp/Z29vbOzoiJ+1tx18Q8QxFdE/bUYk48bZ0wEAAGCYGlYFdcTBQuOss6bEHXd8O6qqdkR7exI7dvxTvPTS2oiIKC8fH2Vl+ejr64re3j0REZHPJ3HGGUlMnHjwntPXXvtRz7IDOAm8fk9vraqK/va2WLtjRzS9tCkiIiaUl0W+rCy6+vpid29fREQk+Xz0n3FmJBMnxeTaOns6AAAADGPDrqCOOPjS8Ftv/WqsXv1wPPHE41FTszN6eiI6O3PR07MrSkr2Rn//gaioiKisTKKiIqK6+tRYuPDiWLToUvcnBTiJvHFP31UzOaJnf+Q6O2NnT1fsLclFX38SSUU+ksrKiIox9nQAAAAYIYZlQR1x8E223v/+K+Oyy66IX/1qXWzY8EK88srLsW1bS5SWRhw4EFFXVx9Tppwd55wzM847ryHKyobttwswotnT09fW1haf+9znoqmpKUpLS2PJkiXxmc985oi5PfXUU/GVr3wlXn311aivr4//9t/+W7z3ve/NYNUAMLqY1wAwjAvqAWVlZTFnzryYM2deRETkchE1NeOitXVvJEnGiwOgKPb09Cxbtixqa2tjzZo10draGh/72MfizjvvjGuvvXbQea+88kosXbo0vva1r8V73vOe+MlPfhLLli2Ln/zkJ1FbW5vR6gFgdDCvASCiJOsFAADp2rx5czQ1NcUNN9wQ+Xw+zjjjjGhsbIy77777sHMfeOCBmDt3blx00UVRVlYWixcvjnnz5sV9992XwcoBYPQwrwHgoGH/DGoAYLCNGzdGdXX1oGdUTZ06NbZu3Rp79uyJ8ePHHzre3NwcM2bMGPT106ZNixdeeOGYj5HLpbvm0WYgPzkeHzmmQ47pkGM6RlN+5vXJz891OuSYDjmmQ47pSDu/k6agnjx5XKrXq6lJ93ojlZwKJ6vCyaowciqcrIrT0dER+Xx+0LGBzzs7Owf9wXukc8eOHRudnZ3HfIxJk/xvkgY5pkOO6ZBjOuRIoczr4UOO6ZBjOuSYDjmeXNziAwBGmMrKyujq6hp0bODzqqqqQcfz+Xx0d3cPOtbd3X3YeQBAusxrADhIQQ0AI8z06dNj165d0draeujYpk2boq6uLsaNG/xMgRkzZsTGjRsHHWtubo7p06cPyVoBYLQyrwHgIAU1AIwwU6ZMiTlz5sQtt9wS+/bti1dffTVWrVoVV1555WHnLlmyJJqamuKRRx6Jvr6+eOSRR6KpqSkuv/zyDFYOAKOHeQ0AB+WSJEmyXgQAkK7W1tZYvnx5rF27NkpKSuKKK66IT3/601FaWhoNDQ1x0003xZIlSyIiYs2aNfGVr3wltmzZEqeffnrccMMN8e53vzvj7wAARj7zGgCG6TOo29raorGxMebOnRvz58+PFStWRF9f3xHPfeqpp+Kyyy6L2bNnx6JFi+LJJ58c4tVmp5ic7r333rjkkkuioaEhLrnkkrj77ruHeLXZKiarAS+++GKcd955sXbt2iFa5cmhmKyampriT/7kT6KhoSHe/e53x+233z7Eq81OMTl95zvfiQsvvDDOP//8uOyyy+Kxxx4b4tWeHNrb2+Piiy8+5s/UaN7Ti1VTUxMrV66MtWvXxjPPPBOf+cxnorS0NCIi1q1bd+iP3YiIBQsWxI9+9KNYt25dPPzwwzFr1ixzNgXmcDrM6HSY3+kw39Nl9pvXJwPzOh3mdTrM63SY1+kaknmdDEP/+T//5+Sv//qvk87OzmTLli3J+973vuSOO+447LyXX345ecc73pE8/vjjSW9vb/LjH/84eec735ls27Ytg1UPvUJzevzxx5O5c+cm69atS/r7+5PnnnsumTt3bvLoo49msOpsFJrVgM7OzuTSSy9NZsyYkfzTP/3TEK40e4Vm1dzcnJx33nnJD37wg6S/vz/513/91+SCCy5IVq9encGqh16hOf385z9P/viP/zjZtGlTkiRJ8uijjyYzZ85MXn311aFecqZ++ctfJhdddNExf6ZG+54+lMzZdJjD6TCj02F+p8N8T4/Zf/zM63SY1+kwr9NhXqfDvE7PUM3rYVdQv/LKK8mMGTMGfZM//vGPk/e85z2Hnfu1r30t+S//5b8MOvZf/+t/Tf7n//yfJ3ydWSsmp+9+97vJ7bffPujYxz/+8eTmm28+4es8GRST1YDPfOYzyTe+8Y1RN0yLyWr58uXJpz71qUHHXnrppeS111474evMWjE5/eM//mPyR3/0R0lzc3PS39+fPP7448k73vGOpKWlZSiXnKkf/OAHyXve857kxz/+8TF/pkbznj6UzNl0mMPpMKPTYX6nw3xPj9l//MzrdJjX6TCv02Fep8O8Ts9Qzuthd4uPjRs3RnV1ddTW1h46NnXq1Ni6dWvs2bNn0LnNzc0xY8aMQcemTZsWL7zwwpCsNUvF5PShD30o/uqv/urQ521tbfHss8/GrFmzhmy9WSomq4iIH/7wh7F58+a47rrrhnKZJ4Visvr1r38d/+7f/bv41Kc+FfPnz49FixZFU1NTTJ48eaiXPeSKyel973tf1NTUxOLFi+Pcc8+N66+/Pm699daoq6sb6mVn5l3velc8/vjjsXjx4mOeN5r39KFkzqbDHE6HGZ0O8zsd5nt6zP7jZ16nw7xOh3mdDvM6HeZ1eoZyXg+7grqjoyPy+fygYwOfd3Z2vum5Y8eOPey8kaiYnF5vx44d8eEPfzhmzZoVl1566Qld48mimKw2bdoUX//61+OrX/3qoXvDjSbFZLV79+646667YsmSJfGLX/wili9fHl/60pfi0UcfHbL1ZqWYnHp7e2PmzJnxf/7P/4nnn38+li9fHjfeeGNs2LBhyNabtcmTJ0dZWdmbnjea9/ShZM6mwxxOhxmdDvM7HeZ7esz+42dep8O8Tod5nQ7zOh3mdXqGcl4Pu4K6srIyurq6Bh0b+LyqqmrQ8Xw+H93d3YOOdXd3H3beSFRMTgOef/75uPLKK+Pss8+Ob3/72wX9RzgSFJpVT09PfPKTn4y//du/jdNOO21I13iyKOa/qzFjxsTChQvjPe95T5SVlcW8efPi8ssvj9WrVw/ZerNSTE4333xzTJ8+Pd75znfGmDFj4gMf+EDMnj07HnjggSFb73Axmvf0oWTOpsMcTocZnQ7zOx3m+9AzZ47OvE6HeZ0O8zod5nU6zOuhl8acGXYF9fTp02PXrl3R2tp66NimTZuirq4uxo0bN+jcGTNmxMaNGwcda25ujunTpw/JWrNUTE4REffff3/8xV/8Rfz5n/95fPWrX40xY8YM5XIzVWhW//Iv/xKvvPJK3HjjjTF37tyYO3duRER89KMfjc9//vNDvexMFPPf1dSpU2P//v2Djh04cCCSJBmStWapmJy2bt16WE5lZWVRXl4+JGsdTkbznj6UzNl0mMPpMKPTYX6nw3wfeubM0ZnX6TCv02Fep8O8Tod5PfRSmTNv/VbZ2fnTP/3T5JOf/GSyd+/eQ+/GuXLlysPOa25uTt7xjnckP/7xjw+9i+Q73vGO5KWXXspg1UOv0JweffTR5Nxzz02efvrpDFZ5cig0qzcajW/oUGhW//f//t/k7W9/e/LDH/4w6e/vT5qampLZs2cnP/3pTzNY9dArNKevf/3ryfz585Pf/OY3yYEDB5LVq1cn73jHO5Lf/va3Gaw6e8f6mRrte/pQMmfTYQ6nw4xOh/mdDvM9fWb/W2dep8O8Tod5nQ7zOh3mdfpO9LwelgX1jh07kqVLlyYXXHBB8kd/9EfJrbfemvT19SVJkiSzZ89OfvSjHx069+mnn06WLFmSzJ49O3nf+96X/PznP89q2UOu0JwuvfTSZObMmcns2bMHfXzuc5/LcvlDqpj/pl5vNA7TYrL6+c9/nvyn//SfkoaGhmThwoXJvffem9Wyh1yhOfX29iYrV65M3vve9ybnn39+8v73v39U/9L7xp8pe3o2zNl0mMPpMKPTYX6nw3xPn9n/1pnX6TCv02Fep8O8Tod5nb4TPa9zSeL5/wAAAAAADL1hdw9qAAAAAABGBgU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmVBQAwAAAACQCQU1AAAAAACZUFADAAAAAJAJBTUAAAAAAJlQUAMAAAAAkAkFNQAAAAAAmfj/AVL5ncJrM7o2AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# XOR dataset\n", "X_xor = np.array([[0, 0], [0, 1], [1, 0], [1, 1]])\n", "y_xor = np.array([0, 1, 1, 0])\n", "\n", "# Try to train perceptron on XOR\n", "perceptron_xor = Perceptron(n_features=2, learning_rate=0.1)\n", "perceptron_xor.fit(X_xor, y_xor, epochs=100)\n", "\n", "# Visualize XOR problem\n", "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", "\n", "# XOR data points\n", "axes[0].scatter(X_xor[y_xor==0, 0], X_xor[y_xor==0, 1], \n", " c='blue', s=300, alpha=0.7, edgecolors='k', linewidth=2, label='Class 0')\n", "axes[0].scatter(X_xor[y_xor==1, 0], X_xor[y_xor==1, 1], \n", " c='red', s=300, alpha=0.7, edgecolors='k', linewidth=2, label='Class 1')\n", "for i, point in enumerate(X_xor):\n", " axes[0].annotate(f'({int(point[0])},{int(point[1])})', xy=(point[0], point[1]), \n", " xytext=(10, 10), textcoords='offset points', fontsize=12, fontweight='bold')\n", "axes[0].set_xlim(-0.5, 1.5)\n", "axes[0].set_ylim(-0.5, 1.5)\n", "axes[0].set_xlabel('$x_1$', fontsize=14)\n", "axes[0].set_ylabel('$x_2$', fontsize=14)\n", "axes[0].set_title('XOR Problem (Not Linearly Separable)', fontsize=14, fontweight='bold')\n", "axes[0].legend(fontsize=12)\n", "axes[0].grid(True, alpha=0.3)\n", "axes[0].set_xticks([0, 1])\n", "axes[0].set_yticks([0, 1])\n", "\n", "# Perceptron's best attempt\n", "xx, yy = np.meshgrid(np.linspace(-0.5, 1.5, 200), np.linspace(-0.5, 1.5, 200))\n", "Z = perceptron_xor.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z.reshape(xx.shape)\n", "\n", "axes[1].contourf(xx, yy, Z, levels=20, cmap='RdBu', alpha=0.4)\n", "axes[1].contour(xx, yy, Z, levels=[0], colors='black', linewidths=2.5)\n", "axes[1].scatter(X_xor[y_xor==0, 0], X_xor[y_xor==0, 1], \n", " c='blue', s=300, alpha=0.9, edgecolors='k', linewidth=2, label='Class 0')\n", "axes[1].scatter(X_xor[y_xor==1, 0], X_xor[y_xor==1, 1], \n", " c='red', s=300, alpha=0.9, edgecolors='k', linewidth=2, label='Class 1')\n", "axes[1].set_xlim(-0.5, 1.5)\n", "axes[1].set_ylim(-0.5, 1.5)\n", "axes[1].set_xlabel('$x_1$', fontsize=14)\n", "axes[1].set_ylabel('$x_2$', fontsize=14)\n", "axes[1].set_title('Perceptron\\'s Best Attempt (Fails!)', fontsize=14, fontweight='bold')\n", "axes[1].legend(fontsize=12)\n", "axes[1].grid(True, alpha=0.3)\n", "axes[1].set_xticks([0, 1])\n", "axes[1].set_yticks([0, 1])\n", "\n", "# Training error\n", "axes[2].plot(perceptron_xor.history['errors'], linewidth=2.5, marker='o', markersize=6, color='red')\n", "axes[2].set_title('Training Errors (Never Converges)', fontsize=14, fontweight='bold')\n", "axes[2].set_xlabel('Epoch', fontsize=12)\n", "axes[2].set_ylabel('Number of Misclassifications', fontsize=12)\n", "axes[2].grid(True, alpha=0.3)\n", "axes[2].axhline(y=0, color='green', linestyle='--', linewidth=2, label='Convergence Goal')\n", "axes[2].legend(fontsize=11)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "predictions = perceptron_xor.predict(X_xor)\n", "print(\"\\nXOR Truth Table vs Perceptron Predictions:\")\n", "print(\"=\"*50)\n", "print(\" x1 x2 | True XOR | Perceptron | Correct?\")\n", "print(\"-\"*50)\n", "for i in range(4):\n", " correct = \"✓\" if predictions[i] == y_xor[i] else \"✗\"\n", " print(f\" {int(X_xor[i,0])} {int(X_xor[i,1])} | {y_xor[i]} | {predictions[i]} | {correct}\")\n", "print(f\"\\nAccuracy: {np.mean(predictions == y_xor):.2%}\")\n", "print(\"\\nConclusion: Single perceptron CANNOT solve XOR!\")\n", "print(\"Solution: Multi-layer networks (next notebooks)\")" ] }, { "cell_type": "markdown", "id": "a989acf6", "metadata": {}, "source": [ "## 6. Comparing Different Learning Rates\n", "\n", "Effect of learning rate on convergence speed" ] }, { "cell_type": "code", "execution_count": null, "id": "488bb6a7", "metadata": {}, "outputs": [], "source": [ "# Test different learning rates\n", "learning_rates = [0.01, 0.05, 0.1, 0.5, 1.0]\n", "results = {}\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(18, 10))\n", "axes = axes.ravel()\n", "\n", "for idx, lr in enumerate(learning_rates):\n", " perc = Perceptron(n_features=2, learning_rate=lr)\n", " perc.fit(X_train, y_train, epochs=50)\n", " results[lr] = perc\n", " \n", " # Plot errors\n", " axes[idx].plot(perc.history['errors'], linewidth=2.5, marker='o', markersize=5)\n", " axes[idx].set_title(f'Learning Rate = {lr}', fontsize=13, fontweight='bold')\n", " axes[idx].set_xlabel('Epoch')\n", " axes[idx].set_ylabel('Errors')\n", " axes[idx].grid(True, alpha=0.3)\n", " axes[idx].axhline(y=0, color='green', linestyle='--', alpha=0.5, linewidth=2)\n", " \n", " # Find convergence epoch\n", " conv_epoch = next((i for i, e in enumerate(perc.history['errors']) if e == 0), None)\n", " if conv_epoch is not None:\n", " axes[idx].text(0.6, 0.9, f'Converged at\\nepoch {conv_epoch+1}', \n", " transform=axes[idx].transAxes, fontsize=11,\n", " bbox=dict(boxstyle='round', facecolor='lightgreen', alpha=0.8))\n", "\n", "# Remove extra subplot\n", "axes[5].axis('off')\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Summary\n", "print(\"\\nLearning Rate Comparison:\")\n", "print(\"=\"*60)\n", "for lr, perc in results.items():\n", " conv_epoch = next((i for i, e in enumerate(perc.history['errors']) if e == 0), 'No convergence')\n", " if conv_epoch != 'No convergence':\n", " conv_epoch += 1\n", " print(f\"LR = {lr:4.2f}: Converged at epoch {conv_epoch}\")" ] }, { "cell_type": "markdown", "id": "27c44f7e", "metadata": {}, "source": [ "## 7. AND, OR Gates (Linearly Separable)\n", "\n", "Unlike XOR, these logical gates CAN be solved by a single perceptron" ] }, { "cell_type": "code", "execution_count": null, "id": "8a26938a", "metadata": {}, "outputs": [], "source": [ "# Define logic gates\n", "X_logic = np.array([[0, 0], [0, 1], [1, 0], [1, 1]])\n", "y_and = np.array([0, 0, 0, 1]) # AND gate\n", "y_or = np.array([0, 1, 1, 1]) # OR gate\n", "\n", "# Train perceptrons\n", "perc_and = Perceptron(n_features=2, learning_rate=0.1)\n", "perc_and.fit(X_logic, y_and, epochs=20)\n", "\n", "perc_or = Perceptron(n_features=2, learning_rate=0.1)\n", "perc_or.fit(X_logic, y_or, epochs=20)\n", "\n", "# Visualize\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 6))\n", "\n", "for idx, (gate_name, y_gate, perc) in enumerate([('AND', y_and, perc_and), \n", " ('OR', y_or, perc_or)]):\n", " xx, yy = np.meshgrid(np.linspace(-0.5, 1.5, 200), np.linspace(-0.5, 1.5, 200))\n", " Z = perc.decision_function(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " \n", " axes[idx].contourf(xx, yy, Z, levels=20, cmap='RdBu', alpha=0.4)\n", " axes[idx].contour(xx, yy, Z, levels=[0], colors='black', linewidths=3)\n", " axes[idx].scatter(X_logic[y_gate==0, 0], X_logic[y_gate==0, 1], \n", " c='blue', s=300, alpha=0.9, edgecolors='k', linewidth=2, label='Output 0')\n", " axes[idx].scatter(X_logic[y_gate==1, 0], X_logic[y_gate==1, 1], \n", " c='red', s=300, alpha=0.9, edgecolors='k', linewidth=2, label='Output 1')\n", " \n", " for i, (x, y) in enumerate(X_logic):\n", " axes[idx].annotate(f'({int(x[0])},{int(x[1])})\\n→{y_gate[i]}', \n", " xy=(x[0], x[1]), xytext=(10, 10), \n", " textcoords='offset points', fontsize=11, fontweight='bold')\n", " \n", " axes[idx].set_xlim(-0.5, 1.5)\n", " axes[idx].set_ylim(-0.5, 1.5)\n", " axes[idx].set_xlabel('$x_1$', fontsize=14)\n", " axes[idx].set_ylabel('$x_2$', fontsize=14)\n", " axes[idx].set_title(f'{gate_name} Gate (Linearly Separable)', \n", " fontsize=14, fontweight='bold')\n", " axes[idx].legend(fontsize=12)\n", " axes[idx].grid(True, alpha=0.3)\n", " axes[idx].set_xticks([0, 1])\n", " axes[idx].set_yticks([0, 1])\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Verify predictions\n", "print(\"\\nLogic Gate Predictions:\")\n", "print(\"=\"*60)\n", "print(\"\\nAND Gate:\")\n", "print(\" x1 x2 | True | Pred | Correct?\")\n", "print(\"-\"*35)\n", "pred_and = perc_and.predict(X_logic)\n", "for i in range(4):\n", " correct = \"✓\" if pred_and[i] == y_and[i] else \"✗\"\n", " print(f\" {int(X_logic[i,0])} {int(X_logic[i,1])} | {y_and[i]} | {pred_and[i]} | {correct}\")\n", "\n", "print(\"\\nOR Gate:\")\n", "print(\" x1 x2 | True | Pred | Correct?\")\n", "print(\"-\"*35)\n", "pred_or = perc_or.predict(X_logic)\n", "for i in range(4):\n", " correct = \"✓\" if pred_or[i] == y_or[i] else \"✗\"\n", " print(f\" {int(X_logic[i,0])} {int(X_logic[i,1])} | {y_or[i]} | {pred_or[i]} | {correct}\")\n", "\n", "print(\"\\n✓ Both AND and OR gates solved perfectly!\")" ] }, { "cell_type": "markdown", "id": "cb4576cc", "metadata": {}, "source": [ "## 8. Key Takeaways\n", "\n", "### Mathematical Model\n", "- Perceptron: $y = f(\\mathbf{w} \\cdot \\mathbf{x} + b)$\n", "- Decision boundary: $\\mathbf{w} \\cdot \\mathbf{x} + b = 0$\n", "\n", "### Learning Algorithm\n", "- Update rule: $\\mathbf{w} \\leftarrow \\mathbf{w} + \\eta(y - \\hat{y})\\mathbf{x}$\n", "- Converges for linearly separable data\n", "\n", "### Activation Functions\n", "- **Step**: Original perceptron, non-differentiable\n", "- **Sigmoid/Tanh**: Smooth, can saturate\n", "- **ReLU**: Modern default, no saturation\n", "\n", "### Limitations\n", "- **Cannot solve XOR** (not linearly separable)\n", "- **Solution**: Multi-layer networks\n", "\n", "### Success Cases\n", "- **AND, OR gates**: Linearly separable, easily solved\n", "- **Binary classification**: Works for linearly separable data" ] } ], "metadata": { "kernelspec": { "display_name": "mlms-test", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }