{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 837
        },
        "id": "mk43RirOWyAi",
        "outputId": "651cc5a6-0913-4562-adb9-05512877e5a6"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 5 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Define activation functions\n",
        "def sigmoid(x):\n",
        "    return 1 / (1 + np.exp(-x))\n",
        "\n",
        "def tanh(x):\n",
        "    return np.tanh(x)\n",
        "\n",
        "def relu(x):\n",
        "    return np.maximum(0, x)\n",
        "\n",
        "def leaky_relu(x, alpha=0.01):\n",
        "    return np.where(x > 0, x, alpha * x)\n",
        "\n",
        "def softmax(x):\n",
        "    e_x = np.exp(x - np.max(x))  # Numerical stability\n",
        "    return e_x / e_x.sum(axis=0)\n",
        "\n",
        "# Input range for plotting\n",
        "x = np.linspace(-10, 10, 100)\n",
        "\n",
        "# Create subplots\n",
        "plt.figure(figsize=(12, 8))\n",
        "\n",
        "# Sigmoid\n",
        "plt.subplot(2, 3, 1)\n",
        "plt.plot(x, sigmoid(x), label=\"Sigmoid\", color=\"blue\")\n",
        "plt.title(\"Sigmoid\")\n",
        "plt.grid(True)\n",
        "\n",
        "# Tanh\n",
        "plt.subplot(2, 3, 2)\n",
        "plt.plot(x, tanh(x), label=\"Tanh\", color=\"orange\")\n",
        "plt.title(\"Tanh\")\n",
        "plt.grid(True)\n",
        "\n",
        "# ReLU\n",
        "plt.subplot(2, 3, 3)\n",
        "plt.plot(x, relu(x), label=\"ReLU\", color=\"green\")\n",
        "plt.title(\"ReLU\")\n",
        "plt.grid(True)\n",
        "\n",
        "# Leaky ReLU\n",
        "plt.subplot(2, 3, 4)\n",
        "plt.plot(x, leaky_relu(x), label=\"Leaky ReLU\", color=\"red\")\n",
        "plt.title(\"Leaky ReLU\")\n",
        "plt.grid(True)\n",
        "\n",
        "# Softmax (on a smaller input range)\n",
        "plt.subplot(2, 3, 5)\n",
        "x_softmax = np.linspace(-2, 2, 10)\n",
        "y_softmax = softmax(x_softmax)\n",
        "plt.stem(x_softmax, y_softmax)  # Fixed: removed use_line_collection\n",
        "plt.title(\"Softmax\")\n",
        "plt.grid(True)\n",
        "\n",
        "# Layout\n",
        "plt.tight_layout()\n",
        "plt.suptitle(\"Activation Functions in Neural Networks\", fontsize=16, y=1.02)\n",
        "plt.show()\n"
      ]
    }
  ]
}