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<?php
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declare(strict_types=1);
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namespace Phpml\Classification\Linear;
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use Closure;
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use Phpml\Classification\Classifier;
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use Phpml\Exception\InvalidArgumentException;
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use Phpml\Helper\OneVsRest;
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use Phpml\Helper\Optimizer\GD;
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use Phpml\Helper\Optimizer\Optimizer;
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use Phpml\Helper\Optimizer\StochasticGD;
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use Phpml\Helper\Predictable;
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use Phpml\IncrementalEstimator;
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use Phpml\Preprocessing\Normalizer;
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class Perceptron implements Classifier, IncrementalEstimator
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{
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use Predictable;
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use OneVsRest;
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/**
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* @var Optimizer|GD|StochasticGD|null
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*/
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protected $optimizer;
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/**
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* @var array
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*/
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protected $labels = [];
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/**
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* @var int
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*/
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protected $featureCount = 0;
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/**
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* @var array
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*/
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protected $weights = [];
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/**
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* @var float
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*/
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protected $learningRate;
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/**
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* @var int
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*/
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protected $maxIterations;
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/**
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* @var Normalizer
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*/
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protected $normalizer;
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/**
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* @var bool
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*/
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protected $enableEarlyStop = true;
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/**
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* Initalize a perceptron classifier with given learning rate and maximum
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* number of iterations used while training the perceptron
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*
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* @param float $learningRate Value between 0.0(exclusive) and 1.0(inclusive)
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* @param int $maxIterations Must be at least 1
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*
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* @throws InvalidArgumentException
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*/
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public function __construct(float $learningRate = 0.001, int $maxIterations = 1000, bool $normalizeInputs = true)
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{
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if ($learningRate <= 0.0 || $learningRate > 1.0) {
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throw new InvalidArgumentException('Learning rate should be a float value between 0.0(exclusive) and 1.0(inclusive)');
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}
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if ($maxIterations <= 0) {
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throw new InvalidArgumentException('Maximum number of iterations must be an integer greater than 0');
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}
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if ($normalizeInputs) {
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$this->normalizer = new Normalizer(Normalizer::NORM_STD);
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}
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$this->learningRate = $learningRate;
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$this->maxIterations = $maxIterations;
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}
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public function partialTrain(array $samples, array $targets, array $labels = []): void
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{
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$this->trainByLabel($samples, $targets, $labels);
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}
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public function trainBinary(array $samples, array $targets, array $labels): void
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{
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if ($this->normalizer !== null) {
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$this->normalizer->transform($samples);
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}
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// Set all target values to either -1 or 1
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$this->labels = [
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1 => $labels[0],
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-1 => $labels[1],
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];
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foreach ($targets as $key => $target) {
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$targets[$key] = (string) $target == (string) $this->labels[1] ? 1 : -1;
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}
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// Set samples and feature count vars
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$this->featureCount = count($samples[0]);
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$this->runTraining($samples, $targets);
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}
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/**
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* Normally enabling early stopping for the optimization procedure may
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* help saving processing time while in some cases it may result in
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* premature convergence.<br>
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*
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* If "false" is given, the optimization procedure will always be executed
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* for $maxIterations times
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*
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* @return $this
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*/
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public function setEarlyStop(bool $enable = true)
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{
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$this->enableEarlyStop = $enable;
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return $this;
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}
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/**
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* Returns the cost values obtained during the training.
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*/
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public function getCostValues(): array
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{
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return $this->costValues;
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}
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protected function resetBinary(): void
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{
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$this->labels = [];
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$this->optimizer = null;
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$this->featureCount = 0;
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$this->weights = [];
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$this->costValues = [];
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}
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/**
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* Trains the perceptron model with Stochastic Gradient Descent optimization
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* to get the correct set of weights
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*/
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protected function runTraining(array $samples, array $targets): void
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{
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// The cost function is the sum of squares
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$callback = function ($weights, $sample, $target): array {
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$this->weights = $weights;
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$prediction = $this->outputClass($sample);
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$gradient = $prediction - $target;
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$error = $gradient ** 2;
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return [$error, $gradient];
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};
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$this->runGradientDescent($samples, $targets, $callback);
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}
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/**
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* Executes a Gradient Descent algorithm for
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* the given cost function
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*/
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protected function runGradientDescent(array $samples, array $targets, Closure $gradientFunc, bool $isBatch = false): void
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{
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$class = $isBatch ? GD::class : StochasticGD::class;
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if ($this->optimizer === null) {
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$this->optimizer = (new $class($this->featureCount))
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->setLearningRate($this->learningRate)
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->setMaxIterations($this->maxIterations)
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->setChangeThreshold(1e-6)
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->setEarlyStop($this->enableEarlyStop);
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}
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$this->weights = $this->optimizer->runOptimization($samples, $targets, $gradientFunc);
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$this->costValues = $this->optimizer->getCostValues();
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}
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/**
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* Checks if the sample should be normalized and if so, returns the
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* normalized sample
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*/
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protected function checkNormalizedSample(array $sample): array
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{
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if ($this->normalizer !== null) {
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$samples = [$sample];
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$this->normalizer->transform($samples);
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$sample = $samples[0];
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}
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return $sample;
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}
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/**
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* Calculates net output of the network as a float value for the given input
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*
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* @return int|float
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*/
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protected function output(array $sample)
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{
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$sum = 0;
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foreach ($this->weights as $index => $w) {
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if ($index == 0) {
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$sum += $w;
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} else {
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$sum += $w * $sample[$index - 1];
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}
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}
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return $sum;
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}
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/**
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* Returns the class value (either -1 or 1) for the given input
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*/
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protected function outputClass(array $sample): int
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{
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return $this->output($sample) > 0 ? 1 : -1;
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}
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/**
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* Returns the probability of the sample of belonging to the given label.
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*
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* The probability is simply taken as the distance of the sample
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* to the decision plane.
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*
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* @param mixed $label
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*/
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protected function predictProbability(array $sample, $label): float
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{
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$predicted = $this->predictSampleBinary($sample);
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if ((string) $predicted == (string) $label) {
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$sample = $this->checkNormalizedSample($sample);
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return (float) abs($this->output($sample));
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}
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return 0.0;
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}
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/**
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* @return mixed
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*/
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protected function predictSampleBinary(array $sample)
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{
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$sample = $this->checkNormalizedSample($sample);
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$predictedClass = $this->outputClass($sample);
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return $this->labels[$predictedClass];
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}
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}
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