{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# The Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-07T05:17:48.882974Z",
     "start_time": "2019-02-07T05:17:46.061433Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<torch._C.Generator at 0x10cc8bef0>"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "torch.manual_seed(8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## A Separable Classification Problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-07T05:17:48.947525Z",
     "start_time": "2019-02-07T05:17:48.893563Z"
    }
   },
   "outputs": [],
   "source": [
    "# generate fake data that is linearly separable with a margin epsilon given the data\n",
    "def getfake(samples, dimensions, epsilon):\n",
    "    wfake = torch.randn(dimensions)   # fake weight vector for separation\n",
    "    bfake = torch.randn(1)            # fake bias\n",
    "    wfake = wfake / torch.norm(wfake) # rescale to unit length\n",
    "\n",
    "    # making some linearly separable data, simply by chosing the labels accordingly\n",
    "    X = torch.zeros(samples, dimensions)\n",
    "    Y = torch.zeros(samples)\n",
    "\n",
    "    i = 0\n",
    "    while (i < samples):\n",
    "        tmp = torch.randn(dimensions)\n",
    "        margin = torch.dot(tmp, wfake) + bfake\n",
    "        if (torch.norm(tmp).cpu().numpy() < 3) and (abs(margin) > epsilon):\n",
    "            X[i,:] = tmp\n",
    "            Y[i] = 1 if margin.cpu().numpy() > 0 else -1\n",
    "            i += 1\n",
    "    return X, Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-07T05:17:49.001306Z",
     "start_time": "2019-02-07T05:17:48.971387Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "# plot the data with colors chosen according to the labels\n",
    "def plotdata(X,Y):\n",
    "    for (x,y) in zip(X,Y):\n",
    "        if (y == 1):\n",
    "            plt.scatter(x[0], x[1], color='r')\n",
    "        else:\n",
    "            plt.scatter(x[0], x[1], color='b')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-07T05:17:49.683867Z",
     "start_time": "2019-02-07T05:17:49.010397Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, Y = getfake(50, 2, 0.3)\n",
    "plotdata(X,Y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Perceptron Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-02-07T05:17:52.268952Z",
     "start_time": "2019-02-07T05:17:49.693728Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encountered an error and updated parameters\n",
      "data   [ 0.4180807  -0.63942015], label 1.0\n",
      "weight [ 0.4180807  -0.63942015], bias  [1.]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encountered an error and updated parameters\n",
      "data   [0.89881307 1.0883738 ], label -1.0\n",
      "weight [-0.48073238 -1.7277939 ], bias  [0.]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encountered an error and updated parameters\n",
      "data   [1.0849478  0.03583344], label 1.0\n",
      "weight [ 0.60421544 -1.6919605 ], bias  [1.]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def perceptron(w,b,x,y):\n",
    "    if (y * (torch.dot(w,x) + b)).cpu().numpy() <= 0:\n",
    "        w += y * x\n",
    "        b += y\n",
    "        return 1\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "# plot contour plots on a [-3,3] x [-3,3] grid \n",
    "def plotscore(w,d):\n",
    "    xgrid = np.arange(-3, 3, 0.03)\n",
    "    ygrid = np.arange(-3, 3, 0.03)\n",
    "    xx, yy = np.meshgrid(xgrid, ygrid)\n",
    "    zz = torch.zeros(xgrid.size, ygrid.size, 2)\n",
    "    zz[:,:,0] = torch.Tensor(xx)\n",
    "    zz[:,:,1] = torch.Tensor(yy)\n",
    "    vv = torch.matmul(zz,w) + d\n",
    "    CS = plt.contour(xgrid,ygrid,vv)\n",
    "    plt.clabel(CS, inline=1, fontsize=10)\n",
    "\n",
    "w = torch.zeros(2)\n",
    "b = torch.zeros(1)\n",
    "for (x,y) in zip(X,Y):\n",
    "    res = perceptron(w,b,x,y)\n",
    "    if (res == 1):\n",
    "        print('Encountered an error and updated parameters')\n",
    "        print('data   {}, label {}'.format(x.cpu().numpy(),y.cpu().numpy()))\n",
    "        print('weight {}, bias  {}'.format(w.cpu().numpy(),b.cpu().numpy()))\n",
    "        plotscore(w,b)\n",
    "        plotdata(X,Y)\n",
    "        plt.scatter(x[0].cpu().numpy(), x[1].cpu().numpy(), color='g')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
