AI-ActivationFunctions
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lib/AI/ActivationFunctions.pm view on Meta::CPAN
push @exp_vals, $exp_val;
$sum += $exp_val;
}
# Normalizar
return [map { $_ / $sum } @exp_vals];
}
# ELU (Exponential Linear Unit)
sub elu {
my ($x, $alpha) = @_;
$alpha //= 1.0;
return $x > 0 ? $x : $alpha * (exp($x) - 1);
}
# Swish (Google)
sub swish {
my ($x) = @_;
return $x * sigmoid($x);
}
# GELU (Gaussian Error Linear Unit)
sub gelu {
my ($x) = @_;
return 0.5 * $x * (1 + tanh(sqrt(2/3.141592653589793) *
($x + 0.044715 * $x**3)));
}
# Derivada da ReLU
sub relu_derivative {
my ($x) = @_;
return $x > 0 ? 1 : 0;
}
# Derivada da Sigmoid
sub sigmoid_derivative {
my ($x) = @_;
my $s = sigmoid($x);
return $s * (1 - $s);
}
1;
=head1 NAME
AI::ActivationFunctions - Activation functions for neural networks in Perl
=head1 VERSION
Version 0.01
=head1 ABSTRACT
Activation functions for neural networks in Perl
=head1 SYNOPSIS
use AI::ActivationFunctions qw(relu prelu sigmoid);
my $result = relu(-5); # returns 0
my $prelu_result = prelu(-2, 0.1); # returns -0.2
# Array version works too
my $array_result = relu([-2, -1, 0, 1, 2]); # returns [0, 0, 0, 1, 2]
=head1 DESCRIPTION
This module provides various activation functions commonly used in neural networks
and machine learning. It includes basic functions like ReLU and sigmoid, as well
as advanced functions like GELU and Swish.
=head1 FUNCTIONS
=head2 Basic Functions
=over 4
=item * relu($input)
Rectified Linear Unit. Returns max(0, $input).
=item * prelu($input, $alpha=0.01)
Parametric ReLU. Returns $input if $input > 0, else $alpha * $input.
=item * leaky_relu($input)
Leaky ReLU with alpha=0.01.
=item * sigmoid($input)
Sigmoid function: 1 / (1 + exp(-$input)).
=item * tanh($input)
Hyperbolic tangent function.
=item * softmax(\@array)
Softmax function for probability distributions.
=back
=head2 Advanced Functions
=over 4
=item * elu($input, $alpha=1.0)
Exponential Linear Unit.
=item * swish($input)
Swish activation function.
=item * gelu($input)
Gaussian Error Linear Unit (used in transformers like BERT, GPT).
=back
=head2 Derivatives
=over 4
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