AI-NeuralNet-SOM
view release on metacpan or search on metacpan
lib/AI/NeuralNet/SOM/Rect.pm view on Meta::CPAN
use base qw(AI::NeuralNet::SOM);
use AI::NeuralNet::SOM::Utils;
=pod
=head1 NAME
AI::NeuralNet::SOM::Rect - Perl extension for Kohonen Maps (rectangular topology)
=head1 SYNOPSIS
use AI::NeuralNet::SOM::Rect;
my $nn = new AI::NeuralNet::SOM::Rect (output_dim => "5x6",
input_dim => 3);
$nn->initialize;
$nn->train (30,
[ 3, 2, 4 ],
[ -1, -1, -1 ],
[ 0, 4, -3]);
print $nn->as_data;
=head1 INTERFACE
=head2 Constructor
The constructor takes the following arguments (additionally to those in the base class):
=over
=item C<output_dim> : (mandatory, no default)
A string of the form "3x4" defining the X and the Y dimensions.
=back
Example:
my $nn = new AI::NeuralNet::SOM::Rect (output_dim => "5x6",
input_dim => 3);
=cut
sub new {
my $class = shift;
my %options = @_;
my $self = bless { %options }, $class;
if ($self->{output_dim} =~ /(\d+)x(\d+)/) {
$self->{_X} = $1 and $self->{_Y} = $2;
} else {
die "output dimension does not have format MxN";
}
if ($self->{input_dim} > 0) {
$self->{_Z} = $self->{input_dim};
} else {
die "input dimension must be positive integer";
}
($self->{_R}) = map { $_ / 2 } sort {$b <= $a } ($self->{_X}, $self->{_Y}); # radius
$self->{_Sigma0} = $options{sigma0} || $self->{_R}; # impact distance, start value
$self->{_L0} = $options{learning_rate} || 0.1; # learning rate, start value
return $self;
}
=pod
=head2 Methods
=cut
sub initialize {
my $self = shift;
my @data = @_;
our $i = 0;
my $get_from_stream = sub {
$i = 0 if $i > $#data;
return [ @{ $data[$i++] } ]; # cloning !
} if @data;
$get_from_stream ||= sub {
return [ map { rand( 1 ) - 0.5 } 1..$self->{_Z} ];
};
for my $x (0 .. $self->{_X}-1) {
for my $y (0 .. $self->{_Y}-1) {
$self->{map}->[$x]->[$y] = &$get_from_stream;
}
}
}
sub bmu {
my $self = shift;
my $sample = shift;
my $closest; # [x,y, distance] value and co-ords of closest match
for my $x (0 .. $self->{_X}-1) {
for my $y (0 .. $self->{_Y}-1){
my $distance = AI::NeuralNet::SOM::Utils::vector_distance ($self->{map}->[$x]->[$y], $sample); # || Vi - Sample ||
#warn "distance to $x, $y : $distance";
$closest = [0, 0, $distance] unless $closest;
$closest = [$x, $y, $distance] if $distance < $closest->[2];
}
}
return @$closest;
}
sub neighbors { # http://www.ai-junkie.com/ann/som/som3.html
my $self = shift;
my $sigma = shift;
my $X = shift;
my $Y = shift;
my @neighbors;
for my $x (0 .. $self->{_X}-1) {
for my $y (0 .. $self->{_Y}-1){
my $distance = sqrt ( ($x - $X) * ($x - $X) + ($y - $Y) * ($y - $Y) );
next if $distance > $sigma;
push @neighbors, [ $x, $y, $distance ]; # we keep the distances
}
}
return \@neighbors;
}
=pod
=cut
sub radius {
my $self = shift;
return $self->{_R};
}
=pod
=over
=item I<map>
I<$m> = I<$nn>->map
This method returns the 2-dimensional array of vectors in the grid (as a reference to an array of
references to arrays of vectors). The representation of the 2-dimensional array is straightforward.
Example:
my $m = $nn->map;
for my $x (0 .. 5) {
for my $y (0 .. 4){
warn "vector at $x, $y: ". Dumper $m->[$x]->[$y];
}
}
=cut
sub as_string {
my $self = shift;
my $s = '';
$s .= " ";
for my $y (0 .. $self->{_Y}-1){
$s .= sprintf (" %02d ",$y);
}
$s .= sprintf "\n","-"x107,"\n";
my $dim = scalar @{ $self->{map}->[0]->[0] };
for my $x (0 .. $self->{_X}-1) {
for my $w ( 0 .. $dim-1 ){
$s .= sprintf ("%02d | ",$x);
for my $y (0 .. $self->{_Y}-1){
$s .= sprintf ("% 2.2f ", $self->{map}->[$x]->[$y]->[$w]);
}
$s .= sprintf "\n";
}
$s .= sprintf "\n";
}
return $s;
}
=pod
=item I<as_data>
print I<$nn>->as_data
This methods creates a string containing the raw vector data, row by
row. This can be fed into gnuplot, for instance.
=cut
sub as_data {
my $self = shift;
my $s = '';
my $dim = scalar @{ $self->{map}->[0]->[0] };
for my $x (0 .. $self->{_X}-1) {
for my $y (0 .. $self->{_Y}-1){
for my $w ( 0 .. $dim-1 ){
$s .= sprintf ("\t%f", $self->{map}->[$x]->[$y]->[$w]);
}
$s .= sprintf "\n";
}
}
return $s;
}
=pod
=back
=head1 SEE ALSO
L<http://www.ai-junkie.com/ann/som/som1.html>
=head1 AUTHOR
Robert Barta, E<lt>rho@devc.atE<gt>
=head1 COPYRIGHT AND LICENSE
Copyright (C) 2007 by Robert Barta
This library is free software; you can redistribute it and/or modify
it under the same terms as Perl itself, either Perl version 5.8.8 or,
at your option, any later version of Perl 5 you may have available.
=cut
our $VERSION = '0.02';
1;
__END__
( run in 0.943 second using v1.01-cache-2.11-cpan-39bf76dae61 )