{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "activation-functions-for-deep-learning.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "X3xwqaVG6t3-"
      },
      "source": [
        "# Most popular activation functions for deep learning\n",
        "\n",
        "Source code for creating the figure for each activation function. \n",
        "More detail on this page: [Most popular activation functions for deep learning](https://lucidar.me/en/neural-networks/most-popular-activation-functions-for-deep-learning/)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dARa1TPk61sj"
      },
      "source": [
        "import numpy as np\n",
        "import math\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#plt.style.use('classic')\n",
        "import matplotlib.pyplot as plt\n",
        "plt.rcParams.update({'font.size': 16})"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rBnp7poS8wWJ"
      },
      "source": [
        "## Linear activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8Jmzd70969ZA"
      },
      "source": [
        "def plot (x,y,dfdx, title):\n",
        "  # Plot function\n",
        "  fig, ax = plt.subplots()\n",
        "  f = ax.plot (x, y, label=title, linewidth=3)\n",
        "  df = ax.plot (x, dfdx, '--', label='Derivative - df/dt', linewidth=2.5)\n",
        "\n",
        "  \n",
        "  fig = plt.gcf()\n",
        "  plt.grid()\n",
        "  # Set figure size in inches\n",
        "  fig.set_size_inches(16, 9)\n",
        "  leg = ax.legend(loc='upper left');\n",
        "\n",
        "  plt.title(title)\n",
        "  plt.xlabel('x')\n",
        "  plt.ylabel('y')\n",
        "  plt.figure(facecolor=\"white\")\n",
        "\n",
        "  ax.axhline(y=0, color='k')\n",
        "  ax.axvline(x=0, color='k')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "NXGV-4lzw3LA",
        "outputId": "c3b1ff82-df72-49b8-c524-680ac255ff58"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-6,6,100)\n",
        "\n",
        "# Linear activation function\n",
        "def linear_function(x):\n",
        "  return x\n",
        "\n",
        "# Derivative of the linear activation function\n",
        "def linear_derivative(x):\n",
        "  return [1] * len(x)\n",
        "\n",
        "plot (x,linear_function(x), linear_derivative(x), 'Linear activation function')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lwoLx02N-_nU"
      },
      "source": [
        "## Sigmoid activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "Y-4tcvyU6sON",
        "outputId": "eac361ac-2c96-4c9b-ee8f-c508c23cce0e"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-8,8,100)\n",
        "\n",
        "# Sigmoid activation function\n",
        "def sigmoid_function(x):\n",
        "  return 1/(1+np.exp(-x))\n",
        "\n",
        "# Derivative of the sigmoid activation function\n",
        "def sigmoid_derivative(x):\n",
        "  return np.exp(-x) / (1+ np.exp(-x))**2\n",
        "  \n",
        "plot (x,sigmoid_function(x), sigmoid_derivative(x), 'Sigmoid activation function')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gXR0UHqx_DAs"
      },
      "source": [
        "## Hyperbolic tangent activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "XRfOjHMJ_FSo",
        "outputId": "6b093f6f-7cf6-44d4-a935-7077e56ce078"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-6,6,100)\n",
        "\n",
        "# Tanh activation function\n",
        "def tanh_function(x):\n",
        "  return np.tanh(x)\n",
        "\n",
        "# Derivative of the tanh activation function\n",
        "def tanh_derivative(x):\n",
        "  return 1 - np.tanh(x)**2\n",
        "  \n",
        "plot (x,tanh_function(x), tanh_derivative(x), 'Tanh activation function')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "I8wvAbV6GzEx"
      },
      "source": [
        "# ReLU activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "p4_0mXv6Gyd4",
        "outputId": "1a697070-5a68-49cc-c8ed-7e07dfbfa389"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-2,2,200)\n",
        "\n",
        "# ReLU activation function\n",
        "def ReLU_function(x):\n",
        "  return np.where(x <= 0, 0, x)\n",
        "\n",
        "# Derivative of the ReLU activation function\n",
        "def ReLU_derivative(x):\n",
        "  return np.where(x <= 0, 0, 1)\n",
        "  \n",
        "plot (x, ReLU_function(x), ReLU_derivative(x), 'ReLU activation function')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SJmq9PYsuzdX"
      },
      "source": [
        "# Leaky ReLU"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "5RPgNMhHu2a7",
        "outputId": "146f45a6-6171-488c-8a6f-38ece8a2102f"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-5,2,200)\n",
        "\n",
        "# Leaky ReLU activation function\n",
        "def leakyReLU_function(x):\n",
        "  return np.where(x <= 0, 0.01*x, x)\n",
        "\n",
        "# Derivative of the leaky ReLU activation function\n",
        "def leakyReLU_derivative(x):\n",
        "  return np.where(x <= 0, 0.01, 1)\n",
        "  \n",
        "plot (x, leakyReLU_function(x), leakyReLU_derivative(x), 'Leaky ReLU activation function')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a3OpuNeGzlYP"
      },
      "source": [
        "# Parameterised ReLU"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "1sL8WPY6znMr",
        "outputId": "23069ddf-34ec-462b-a580-4fc0f39f46b9"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-5,2,200)\n",
        "\n",
        "# Parameterised ReLU activation function\n",
        "def parameterised_ReLU_function(x,a):\n",
        "  return np.where(x <= 0, a*x, x)\n",
        "\n",
        "# Derivative of the parameterised ReLU activation function\n",
        "def parameterised_ReLU_derivative(x,a):\n",
        "  return np.where(x <= 0, a, 1)\n",
        "  \n",
        "plot (x, parameterised_ReLU_function(x, 0.2), parameterised_ReLU_derivative(x, 0.2), 'Parameterised ReLU activation function (a=0.2)')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jy3Upb_X7Jhp"
      },
      "source": [
        "# Exponential Linear Unit (ELU)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "00HDqJLO33Nn",
        "outputId": "b5e88ff9-bdb9-4653-cf4e-fe773eebc8c2"
      },
      "source": [
        "# Set x data\n",
        "x = np.linspace(-5,2,200)\n",
        "\n",
        "# ELU activation function\n",
        "def ELU_function(x,a):\n",
        "  return np.where(x <= 0, a*(np.exp(x) - 1), x)\n",
        "\n",
        "# Derivative of the ELU activation function\n",
        "def ELU_derivative(x,a):\n",
        "  return np.where(x <= 0, a*np.exp(x), 1)\n",
        "  \n",
        "plot (x, ELU_function(x, 1), ELU_derivative(x, 1), 'ELU activation function (a=1)')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 0 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}