{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# 代表的な活性化関数の例"
      ],
      "metadata": {
        "id": "wksXYK3aiRwO"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "_fjS1UEGcwBf",
        "outputId": "073929f9-cebc-418f-9d7c-581e51ff62ec",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.special import erf\n",
        "\n",
        "# x軸の値を用意\n",
        "x = np.linspace(-5, 5, 200)\n",
        "\n",
        "# 各活性化関数を定義\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=0.1):\n",
        "    return np.where(x > 0, x, alpha * x)\n",
        "\n",
        "def swish(x):\n",
        "    return x * sigmoid(x)\n",
        "\n",
        "def gelu(x):\n",
        "    return 0.5 * x * (1 + erf(x / np.sqrt(2)))\n",
        "\n",
        "# 計算\n",
        "y_sigmoid = sigmoid(x)\n",
        "y_tanh = tanh(x)\n",
        "y_relu = relu(x)\n",
        "y_leaky_relu = leaky_relu(x)\n",
        "y_swish = swish(x)\n",
        "y_gelu = gelu(x)\n",
        "\n",
        "# プロット\n",
        "plt.plot(x, y_sigmoid, label='Sigmoid')\n",
        "plt.plot(x, y_tanh, label='Tanh')\n",
        "plt.plot(x, y_relu, label='ReLU')\n",
        "plt.plot(x, y_leaky_relu, label='Leaky ReLU')\n",
        "plt.plot(x, y_swish, label='Swish')\n",
        "plt.plot(x, y_gelu, label='GELU')\n",
        "\n",
        "plt.xlabel('x')\n",
        "plt.ylabel('f(x)')\n",
        "plt.title('Activation Functions')\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()\n"
      ]
    }
  ]
}