AND Gate 2x:
epoch: 1, w0= 1 | w1= 0.5 | w2= 0.5
epoch: 2, w0= 0 | w1= 1 | w2= 0.5
epoch: 3, w0= 0 | w1= 1.5 | w2= 0.5
epoch: 4, w0= -1 | w1= 1.5 | w2= 0.5
epoch: 5, w0= -1 | w1= 1.5 | w2= 1
epoch: 6, w0= -1 | w1= 1.5 | w2= 1.5
epoch: 7, w0= -2 | w1= 1.5 | w2= 1
AND Gate 3x:
epoch: 1, w0= -1 | w1= 1 | w2= 0 | w3= 0.5
epoch: 2, w0= -1 | w1= 1 | w2= 0.5 | w3= 0.5
epoch: 3, w0= -1 | w1= 1 | w2= 1 | w3= 0.5
epoch: 4, w0= -1 | w1= 1.5 | w2= 1 | w3= 0.5
epoch: 5, w0= -1 | w1= 2 | w2= 1 | w3= 0.5
epoch: 6, w0= -2 | w1= 2 | w2= 0.5 | w3= 0.5
epoch: 7, w0= -2 | w1= 2 | w2= 1 | w3= 0.5
epoch: 8, w0= -2 | w1= 2 | w2= 1.5 | w3= 0.5
epoch: 9, w0= -2 | w1= 2 | w2= 2 | w3= 0.5
epoch: 10, w0= -3 | w1= 2 | w2= 1.5 | w3= 0.5
epoch: 11, w0= -3 | w1= 2 | w2= 1.5 | w3= 1
epoch: 12, w0= -3 | w1= 2 | w2= 1.5 | w3= 1.5
epoch: 13, w0= -3 | w1= 2 | w2= 2 | w3= 1.5
epoch: 14, w0= -4 | w1= 2 | w2= 1.5 | w3= 1
سورس کد
<?php
defined('BASEPATH') OR exit('No direct script access allowed');
class Perceptron extends CI_Controller {
public $learningRate = 0.5;
//public $output;
public $bias = 0;
public $vectorLength = 2;
public $weightVector; // آرایه تصادفی ها به تعداد vectorLength
//public $epoch = 0;
//public $epochLimit = 10000;
public function index()
{
echo '<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />';
$this->setWeightRandom();
$epoch = 0;
// AND Gate
//مثال آموزشی
$data = [
[[0, 0], 0],
[[0, 1], 0],
[[1, 0], 0],
[[1, 1], 1],
];
$satisfied = false;
$color="black";
echo "<b>AND Gate 2x:</b> <br/>";
while (!$satisfied)
{
foreach ($data as $trainSample)
{
$this->train($trainSample[0], $trainSample[1]);
}
//test weights
$status = true;
foreach ($data as $trainSample)
{
if ($this->test($trainSample[0]) != $trainSample[1])
{
$status = false;
}
}
if ($status == true)
{
$satisfied = true;
}
$epoch++;
if($satisfied==true)
$color= "red";
echo "<span style='color:$color'>epoch: $epoch, w0= ".$this->bias . " | w1= ".$this->weightVector[0]." | w2= ". $this->weightVector[1]. "</span><br/>" ;
}
$this->bias = 0;
$this->vectorLength = 3;
$this->weightVector="";
$this->setWeightRandom();
$epoch = 0;
// AND Gate
//مثال آموزشی
$data = [
[[0, 0, 0], 0],
[[0, 1, 0], 0],
[[0, 1, 1], 0],
[[1, 0, 0], 0],
[[1, 0, 1], 0],
[[1, 1, 0], 0],
[[1, 1, 1], 1],
];
$color="black";
$satisfied = false;
echo "<br/><b>AND Gate 3x:</b> <br/>";
while (!$satisfied)
{
foreach ($data as $trainSample)
{
$this->train($trainSample[0], $trainSample[1]);
}
//test weights
$status = true;
foreach ($data as $trainSample)
{
if ($this->test($trainSample[0]) != $trainSample[1])
{
$status = false;
}
}
if ($status == true)
{
$satisfied = true;
}
$epoch++;
if($satisfied==true)
$color= "red";
echo "<span style='color:$color'>epoch: $epoch, w0= ".$this->bias . " | w1= ".$this->weightVector[0]." | w2= ". $this->weightVector[1]. " | w3= ". $this->weightVector[2]. "</span><br/>" ;
}
echo '<div dir="ltr">';
echo '<h4>سورس کد</h4>';
echo show_source(__FILE__);
}
private function train($input, $result)
{
// Test if current weights are Valid
// Do test on input
$output = $this->test($input);
if ($output != $result)
{
//we need to change weights
for ($i = 0; $i < $this->vectorLength; $i++)
{
//wi + 1/2(result - output)*xi
$this->weightVector[$i] =
$this->weightVector[$i] + $this->learningRate * ((int)$result - (int)$output) * $input[$i];
}
}
$this->bias = $this->bias + ((int)$result - (int)$output);
}
private function test($input)
{
// return w0 + x1w1 + x2w2
$testResult = $this->dotVectors($this->weightVector, $input) + $this->bias;
return $testResult > 0 ? 1 : 0;
}
private function dotVectors($vector1, $vector2)
{
//وزن های تصادفی را با ورودی ها جمع میکند و برمیگرداند
$total = 0;
$dim = count($vector1);
for ($i = 0; $i < $dim; $i++) {
$total += $vector1[$i] * $vector2[$i];
}
return $total;
}
private function setWeightRandom()
{
// وزن های تصادفی به W ها میدهد
for ($i = 0; $i < $this->vectorLength; $i++) {
$this->weightVector[$i] = rand(0, 1);
}
}
}
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