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@Kielx
Created April 29, 2022 21:21
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Simple perceptron able to separate two points using Frank Rosenblatt Algorithm
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{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Python Perceptron"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 9,
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"#plt.rcParams['figure.figsize'] = [5, 5]\n",
"import math\n",
"from matplotlib import gridspec"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 10,
"outputs": [],
"source": [
"xVector = np.array([(0.1, 0.9, 1), (1.0, 0.1, 0)])\n",
"learningRate = 0.1\n",
"weights = np.array([0.1, -0.1, -0.2 ])\n",
"bias = 1;\n",
"lpd = 0;\n",
"linePoints = []\n",
"totalIterations = 0;\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 11,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration: 0\n",
"Weights: [ 0.1 -0.1 -0.2]\n",
"x10: [1. 0.]\n",
"x20: [0. 0.5]\n",
"LPD: 0\n",
"Iteration: 1\n",
"Weights: [ 0.2 -0.09 -0.11]\n",
"x10: [2.22222222 0. ]\n",
"x20: [0. 1.81818182]\n",
"LPD: 0\n",
"Iteration: 2\n",
"Weights: [ 0.1 -0.19 -0.12]\n",
"x10: [0.52631579 0. ]\n",
"x20: [0. 0.83333333]\n",
"LPD: 0\n",
"Iteration: 3\n",
"Weights: [ 0.2 -0.18 -0.03]\n",
"x10: [1.11111111 0. ]\n",
"x20: [0. 6.66666667]\n",
"LPD: 0\n",
"Iteration: 4\n",
"Weights: [ 0.1 -0.28 -0.04]\n",
"x10: [0.35714286 0. ]\n",
"x20: [0. 2.5]\n",
"LPD: 1\n",
"Iteration: 5\n",
"Weights: [ 0.1 -0.28 -0.04]\n",
"x10: [0.35714286 0. ]\n",
"x20: [0. 2.5]\n",
"LPD: 2\n"
]
}
],
"source": [
"for i in range(50):\n",
" print (\"Iteration: \", i)\n",
" print (\"Weights: \", weights)\n",
" currK = i % 2\n",
"\n",
" #Step 1\n",
" if weights[1] != 0 and weights[0] != 0 and weights[2] != 0:\n",
" x10 = np.array((-(weights[0] / weights[1]), 0))\n",
" x20 = np.array((0, -(weights[0] / weights[2])))\n",
" elif weights[0] == 0 and weights[1] != 0 and weights[2] != 0:\n",
" x10 = np.array((0, 0))\n",
" x20 = np.array((-(weights[0] / weights[2]), 1 ))\n",
" linePoints.append([x10, x20])\n",
"\n",
" print(\"x10: \", x10)\n",
" print(\"x20: \", x20)\n",
"\n",
" #Step 2\n",
" currentX = np.array([1, xVector[currK][0], xVector[currK][1]])\n",
" y = np.dot(currentX, weights)\n",
"\n",
" #Step 3\n",
" if y >= 0:\n",
" f = 1\n",
" else:\n",
" f = 0\n",
"\n",
" if f == xVector[currK][2]:\n",
" lpd+=1\n",
"\n",
" #Step 4\n",
" if f != xVector[currK][2]:\n",
" weights = np.around(weights + learningRate * (xVector[currK][2] - f) * currentX, decimals=2)\n",
"\n",
" totalIterations+=1\n",
" print (\"LPD: \", lpd)\n",
" print (\"\\n\")\n",
"\n",
" if lpd == 2:\n",
" break\n",
"\n"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
},
{
"cell_type": "code",
"execution_count": 12,
"outputs": [
{
"data": {
"text/plain": "<Figure size 1440x1080 with 6 Axes>",
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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#fig, axs = plt.subplots(totalIterations, 3, figsize=(5, 10))\n",
"cols = 5\n",
"rows = int(math.ceil(totalIterations / cols))\n",
"fig = plt.figure(figsize=(20, 5 + rows * 5))\n",
"fig.suptitle('Perceptron Learning Algorithm')\n",
"gs = gridspec.GridSpec(rows, cols)\n",
"\n",
"for i in range(totalIterations):\n",
" ax = fig.add_subplot(gs[i])\n",
" ax.set_title('Iteration: ' + str(i))\n",
" ax.axhline()\n",
" ax.axvline()\n",
" ax.plot(xVector[0][0], xVector[0][1], 'gx') # label='d =' + str(xVector[0][2])\n",
" ax.plot(xVector[1][0], xVector[1][1], 'rx') # label='d =' + str(xVector[1][2])\n",
" ax.axline(linePoints[i][0], linePoints[i][1], linewidth=2, color=np.random.rand(3,), label='Iteration ' + str(i), fillstyle=\"left\")\n",
" ax.grid(True)\n",
"fig.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.tight_layout()\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n"
}
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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