{
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  {
   "cell_type": "markdown",
   "id": "d0ce4228",
   "metadata": {},
   "source": [
    "# plot activation functions\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b3c8093a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing the required libraries\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a134fb45",
   "metadata": {},
   "outputs": [],
   "source": [
    "# The definition of activation functions mathematically\n",
    "# Sigmoid Function\n",
    "def sigmoid(x):\n",
    "    a = []\n",
    "    for i in x:\n",
    "        a.append(1/(1+math.exp(-i)))\n",
    "    return a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "954c32ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Hyperbolic Tanjant Function\n",
    "def tanh(x, derivative=False):\n",
    "    if (derivative == True):\n",
    "        return (1 - (x ** 2))\n",
    "    return np.tanh(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c0e5136",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ReLU Function\n",
    "def re(x):\n",
    "    b = []\n",
    "    for i in x:\n",
    "        if i<0:\n",
    "            b.append(0)\n",
    "        else:\n",
    "            b.append(i)\n",
    "    return b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f29cac64",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Leaky ReLU Function\n",
    "def lr(x):\n",
    "    b = []\n",
    "    for i in x:\n",
    "        if i<0:\n",
    "            b.append(i/10)\n",
    "        else:\n",
    "            b.append(i)\n",
    "    return b\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1854dc7b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Determining the intervals to be created for the graph\n",
    "x = np.arange(-3., 3., 0.1)\n",
    "sig = sigmoid(x)\n",
    "tanh = tanh(x)\n",
    "relu = re(x)\n",
    "leaky_relu = lr(x)\n",
    "swish = sig*x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9c535ccb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Displaying the functions\n",
    "line_1, = plt.plot(x,sig, label='Sigmoid')\n",
    "line_2, = plt.plot(x,tanh, label='Tanh')\n",
    "line_3, = plt.plot(x,relu, label='ReLU')\n",
    "line_4, = plt.plot(x,leaky_relu, label='Leaky ReLU')\n",
    "line_5, = plt.plot(x,swish, label='Swish')\n",
    "plt.legend(handles=[line_1, line_2, line_3, line_4, line_5])\n",
    "plt.axhline(y=0, color='k')\n",
    "plt.axvline(x=0, color='k')\n",
    "plt.show()"
   ]
  }
 ],
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