AI-PSO

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Changes  view on Meta::CPAN

0.85  Wed Nov 15 22:30:47 2006
    - corrected the fitness function in the test
    - added perceptron c++ code that I wrote a long time ago ;)
    - added an example (pso_ann.pl) for training a simple feed-forward neural network
    - updated POD

0.82  Sat Nov 11 22:20:31 2006
    - fixed POD to correctly 'use AI::PSO'
    - fixed fitness function in PSO.t
	- added research paper to package
	- moved into a subversion repository
	- removed requirement for perl 5.8.8
	- removed printing of solution array in test

0.80  Sat Nov 11 14:22:27 2006
	- changed namespace to AI::PSO
	- added a pso_get_solution_array function

0.70  Fri Nov 10 23:50:32 2006
	- added user callback fitness function
	- added POD

MPL-1.1.txt  view on Meta::CPAN

     as the Initial Developer in the Source Code notice required by Exhibit
     A.

     1.7. "Larger Work" means a work which combines Covered Code or
     portions thereof with code not governed by the terms of this License.

     1.8. "License" means this document.

     1.8.1. "Licensable" means having the right to grant, to the maximum
     extent possible, whether at the time of the initial grant or
     subsequently acquired, any and all of the rights conveyed herein.

     1.9. "Modifications" means any addition to or deletion from the
     substance or structure of either the Original Code or any previous
     Modifications. When Covered Code is released as a series of files, a
     Modification is:
          A. Any addition to or deletion from the contents of a file
          containing Original Code or previous Modifications.

          B. Any new file that contains any part of the Original Code or
          previous Modifications.

     1.10. "Original Code" means Source Code of computer software code
     which is described in the Source Code notice required by Exhibit A as

MPL-1.1.txt  view on Meta::CPAN

     this definition, "control" means (a) the power, direct or indirect,
     to cause the direction or management of such entity, whether by
     contract or otherwise, or (b) ownership of more than fifty percent
     (50%) of the outstanding shares or beneficial ownership of such
     entity.

2. Source Code License.

     2.1. The Initial Developer Grant.
     The Initial Developer hereby grants You a world-wide, royalty-free,
     non-exclusive license, subject to third party intellectual property
     claims:
          (a)  under intellectual property rights (other than patent or
          trademark) Licensable by Initial Developer to use, reproduce,
          modify, display, perform, sublicense and distribute the Original
          Code (or portions thereof) with or without Modifications, and/or
          as part of a Larger Work; and

          (b) under Patents Claims infringed by the making, using or
          selling of Original Code, to make, have made, use, practice,
          sell, and offer for sale, and/or otherwise dispose of the
          Original Code (or portions thereof).

          (c) the licenses granted in this Section 2.1(a) and (b) are
          effective on the date Initial Developer first distributes

MPL-1.1.txt  view on Meta::CPAN

          separate from the Original Code;  or 3) for infringements caused
          by: i) the modification of the Original Code or ii) the
          combination of the Original Code with other software or devices.

     2.2. Contributor Grant.
     Subject to third party intellectual property claims, each Contributor
     hereby grants You a world-wide, royalty-free, non-exclusive license

          (a)  under intellectual property rights (other than patent or
          trademark) Licensable by Contributor, to use, reproduce, modify,
          display, perform, sublicense and distribute the Modifications
          created by such Contributor (or portions thereof) either on an
          unmodified basis, with other Modifications, as Covered Code
          and/or as part of a Larger Work; and

          (b) under Patent Claims infringed by the making, using, or
          selling of  Modifications made by that Contributor either alone
          and/or in combination with its Contributor Version (or portions
          of such combination), to make, use, sell, offer for sale, have
          made, and/or otherwise dispose of: 1) Modifications made by that
          Contributor (or portions thereof); and 2) the combination of

MPL-1.1.txt  view on Meta::CPAN

     Section 3.5.

     3.2. Availability of Source Code.
     Any Modification which You create or to which You contribute must be
     made available in Source Code form under the terms of this License
     either on the same media as an Executable version or via an accepted
     Electronic Distribution Mechanism to anyone to whom you made an
     Executable version available; and if made available via Electronic
     Distribution Mechanism, must remain available for at least twelve (12)
     months after the date it initially became available, or at least six
     (6) months after a subsequent version of that particular Modification
     has been made available to such recipients. You are responsible for
     ensuring that the Source Code version remains available even if the
     Electronic Distribution Mechanism is maintained by a third party.

     3.3. Description of Modifications.
     You must cause all Covered Code to which You contribute to contain a
     file documenting the changes You made to create that Covered Code and
     the date of any change. You must include a prominent statement that
     the Modification is derived, directly or indirectly, from Original
     Code provided by the Initial Developer and including the name of the

MPL-1.1.txt  view on Meta::CPAN


     6.1. New Versions.
     Netscape Communications Corporation ("Netscape") may publish revised
     and/or new versions of the License from time to time. Each version
     will be given a distinguishing version number.

     6.2. Effect of New Versions.
     Once Covered Code has been published under a particular version of the
     License, You may always continue to use it under the terms of that
     version. You may also choose to use such Covered Code under the terms
     of any subsequent version of the License published by Netscape. No one
     other than Netscape has the right to modify the terms applicable to
     Covered Code created under this License.

     6.3. Derivative Works.
     If You create or use a modified version of this License (which you may
     only do in order to apply it to code which is not already Covered Code
     governed by this License), You must (a) rename Your license so that
     the phrases "Mozilla", "MOZILLAPL", "MOZPL", "Netscape",
     "MPL", "NPL" or any confusingly similar phrase do not appear in your
     license (except to note that your license differs from this License)

MPL-1.1.txt  view on Meta::CPAN

     YOU (NOT THE INITIAL DEVELOPER OR ANY OTHER CONTRIBUTOR) ASSUME THE
     COST OF ANY NECESSARY SERVICING, REPAIR OR CORRECTION. THIS DISCLAIMER
     OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF
     ANY COVERED CODE IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER.

8. TERMINATION.

     8.1.  This License and the rights granted hereunder will terminate
     automatically if You fail to comply with terms herein and fail to cure
     such breach within 30 days of becoming aware of the breach. All
     sublicenses to the Covered Code which are properly granted shall
     survive any termination of this License. Provisions which, by their
     nature, must remain in effect beyond the termination of this License
     shall survive.

     8.2.  If You initiate litigation by asserting a patent infringement
     claim (excluding declatory judgment actions) against Initial Developer
     or a Contributor (the Initial Developer or Contributor against whom
     You file such action is referred to as "Participant")  alleging that:

     (a)  such Participant's Contributor Version directly or indirectly

MPL-1.1.txt  view on Meta::CPAN

     The Covered Code is a "commercial item," as that term is defined in
     48 C.F.R. 2.101 (Oct. 1995), consisting of "commercial computer
     software" and "commercial computer software documentation," as such
     terms are used in 48 C.F.R. 12.212 (Sept. 1995). Consistent with 48
     C.F.R. 12.212 and 48 C.F.R. 227.7202-1 through 227.7202-4 (June 1995),
     all U.S. Government End Users acquire Covered Code with only those
     rights set forth herein.

11. MISCELLANEOUS.

     This License represents the complete agreement concerning subject
     matter hereof. If any provision of this License is held to be
     unenforceable, such provision shall be reformed only to the extent
     necessary to make it enforceable. This License shall be governed by
     California law provisions (except to the extent applicable law, if
     any, provides otherwise), excluding its conflict-of-law provisions.
     With respect to disputes in which at least one party is a citizen of,
     or an entity chartered or registered to do business in the United
     States of America, any litigation relating to this License shall be
     subject to the jurisdiction of the Federal Courts of the Northern
     District of California, with venue lying in Santa Clara County,
     California, with the losing party responsible for costs, including
     without limitation, court costs and reasonable attorneys' fees and
     expenses. The application of the United Nations Convention on
     Contracts for the International Sale of Goods is expressly excluded.
     Any law or regulation which provides that the language of a contract
     shall be construed against the drafter shall not apply to this
     License.

12. RESPONSIBILITY FOR CLAIMS.

MPL-1.1.txt  view on Meta::CPAN

13. MULTIPLE-LICENSED CODE.

     Initial Developer may designate portions of the Covered Code as
     "Multiple-Licensed".  "Multiple-Licensed" means that the Initial
     Developer permits you to utilize portions of the Covered Code under
     Your choice of the NPL or the alternative licenses, if any, specified
     by the Initial Developer in the file described in Exhibit A.

EXHIBIT A -Mozilla Public License.

     ``The contents of this file are subject to the Mozilla Public License
     Version 1.1 (the "License"); you may not use this file except in
     compliance with the License. You may obtain a copy of the License at
     http://www.mozilla.org/MPL/

     Software distributed under the License is distributed on an "AS IS"
     basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
     License for the specific language governing rights and limitations
     under the License.

     The Original Code is ______________________________________.

examples/NeuralNet/pso_ann.pl  view on Meta::CPAN


my $numInputs = 3;
my $numHidden = 2;
my $xferFunc = "Logistic";
my $annConfig = "pso.ann";
my $annInputs = "pso.dat";

my $expectedValue = 3.5;	# this is the value that we want to train the ANN to produce (just like the example in t/PTO.t)


sub test_fitness_function(@) {
    my (@arr) = (@_);
	&writeAnnConfig($annConfig, $numInputs, $numHidden, $xferFunc, @arr);
	my $netValue = &runANN($annConfig, $annInputs);
	print "network value = $netValue\n";

	# the closer the network value gets to our desired value
	# then we want to set the fitness closer to 1.
	#
	# This is a special case of the sigmoid, and looks an awful lot
	# like the hyperbolic tangent ;)

examples/NeuralNet/pso_ann.pl  view on Meta::CPAN

pso_set_params(\%test_params);
pso_register_fitness_function('test_fitness_function');
pso_optimize();
#my @solution = pso_get_solution_array();




##### io #########

sub writeAnnConfig() {
	my ($configFile, $inputs, $hidden, $func, @weights) = (@_);

	open(ANN, ">$configFile");
	print ANN "$inputs $hidden\n";
	print ANN "$func\n";
	foreach my $weight (@weights) {
		print ANN "$weight ";
	}
	print ANN "\n";
	close(ANN);
}

sub runANN($$) {
	my ($configFile, $dataFile) = @_;
	my $networkValue = `ann_compute $configFile $dataFile`;
	chomp($networkValue);
	return $networkValue;
}

lib/AI/PSO.pm  view on Meta::CPAN

my $themMax    = 'null';               # 'social' maximum random weight (this should really be between 0, 1)

my $psoRandomRange = 'null';           # PSO::.86 new variable to support original unmodified algorithm
my $useModifiedAlgorithm = 'null';

#-#-# user/debug parameters #-#-#
my $verbose    = 0;                    # This one defaults for obvious reasons...

#NOTE: $meWeight and $themWeight should really add up to a constant value.  
#      Swarm Intelligence defines a 'pso random range' constant and then computes two random numbers
#      within this range by first getting a random number and then subtracting it from the range.
#      e.g. 
#           $randomRange = 4.0
#           $meWeight   = random(0, $randomRange);
#           $themWeight = $randomRange - $meWeight.
#
#

#----------   END  GLOBAL PARAMETERS ------------

#---------- BEGIN GLOBAL DATA STRUCTURES --------

lib/AI/PSO.pm  view on Meta::CPAN

my @solution = ();
#----------   END GLOBAL DATA STRUCTURES --------


#---------- BEGIN EXPORTED SUBROUTINES ----------

#
# pso_set_params
#  - sets the global module parameters from the hash passed in
#
sub pso_set_params(%) {
    my (%params) = %{$_[0]};
    my $retval = 0;

    #no strict 'refs';
    #foreach my $key (keys(%params)) {
    #    $$key = $params{$key};
    #}
    #use strict 'refs';

    $numParticles   = defined($params{numParticles})   ? $params{numParticles}   : 'null';

lib/AI/PSO.pm  view on Meta::CPAN

    $retval = 1 if($param_string =~ m/null/);

    return $retval;
}


#
# pso_register_fitness_function
#  - sets the user-defined callback fitness function
#
sub pso_register_fitness_function($) {
    my ($func) = @_;
    $user_fitness_function = new Callback(\&{"main::$func"});
    return 0;
}


#
# pso_optimize
#  - runs the particle swarm optimization algorithm
#
sub pso_optimize() {
	&init();
    return &swarm();
}

#
# pso_get_solution_array
#  - returns the array of parameters corresponding to the best solution so far
sub pso_get_solution_array() {
	return @solution;
}


#----------  END  EXPORTED SUBROUTINES ----------



#--------- BEGIN INTERNAL SUBROUTINES -----------

#
# init
#   - initializes global variables
#   - initializes particle data structures
#
sub init() {
	if($psoRandomRange =~ m/null/) {
		$useModifiedAlgorithm = 1;
	} else {
		$useModifiedAlgorithm = 0;
	}
	&initialize_particles();
}

#
# initialize_particles
#    - sets up internal data structures
#    - initializes particle positions and velocities with an element of randomness
#
sub initialize_particles() {
    for(my $p = 0; $p < $numParticles; $p++) {
        $particles[$p]           = {};  # each particle is a hash of arrays with the array sizes being the dimensionality of the problem space
        $particles[$p]{nextPos}  = [];  # nextPos is the array of positions to move to on the next positional update
        $particles[$p]{bestPos}  = [];  # bestPos is the position of that has yielded the best fitness for this particle (it gets updated when a better fitness is found)
        $particles[$p]{currPos}  = [];  # currPos is the current position of this particle in the problem space
        $particles[$p]{velocity} = [];  # velocity ... come on ...

        for(my $d = 0; $d < $dimensions; $d++) {
            $particles[$p]{nextPos}[$d]  = &random($deltaMin, $deltaMax);
            $particles[$p]{currPos}[$d]  = &random($deltaMin, $deltaMax);
            $particles[$p]{bestPos}[$d]  = &random($deltaMin, $deltaMax);
            $particles[$p]{velocity}[$d] = &random($deltaMin, $deltaMax);
        }
    }
}



#
# initialize_neighbors
# NOTE: I made this a separate subroutine so that different topologies of neighbors can be created and used instead of this.
# NOTE: This subroutine is currently not used because we access neighbors by index to the particle array rather than storing their references
# 
#  - adds a neighbor array to the particle hash data structure
#  - sets the neighbor based on the default neighbor hash function
#
sub initialize_neighbors() {
    for(my $p = 0; $p < $numParticles; $p++) {
        for(my $n = 0; $n < $numNeighbors; $n++) {
            $particles[$p]{neighbor}[$n] = $particles[&get_index_of_neighbor($p, $n)];
        }
    }
}


sub dump_particle($) {
    $| = 1;
    my ($index) = @_;
    print STDERR "[particle $index]\n";
    print STDERR "\t[bestPos] ==> " . &compute_fitness(@{$particles[$index]{bestPos}}) . "\n";
    foreach my $pos (@{$particles[$index]{bestPos}}) {
        print STDERR "\t\t$pos\n";
    }
    print STDERR "\t[currPos] ==> " . &compute_fitness(@{$particles[$index]{currPos}}) . "\n";
    foreach my $pos (@{$particles[$index]{currPos}}) {
        print STDERR "\t\t$pos\n";

lib/AI/PSO.pm  view on Meta::CPAN

    print STDERR "\t[velocity]\n";
    foreach my $pos (@{$particles[$index]{velocity}}) {
        print STDERR "\t\t$pos\n";
    }
}

#
# swarm 
#  - runs the particle swarm algorithm
#
sub swarm() {
    for(my $iter = 0; $iter < $maxIterations; $iter++) { 
        for(my $p = 0; $p < $numParticles; $p++) { 

            ## update position
            for(my $d = 0; $d < $dimensions; $d++) {
                $particles[$p]{currPos}[$d] = $particles[$p]{nextPos}[$d];
            }

            ## test _current_ fitness of position
            my $fitness = &compute_fitness(@{$particles[$p]{currPos}});

lib/AI/PSO.pm  view on Meta::CPAN

    }
    &save_solution(@{$particles[$bestPartIndex]{bestPos}});
    &dump_particle($bestPartIndex);
    return 1;
}

#
# save solution
#   - simply copies the given array into the global solution array
#
sub save_solution(@) {
	@solution = @_;
}


#
# compute_fitness
# - computes the fitness of a particle by using the user-specified fitness function
# 
# NOTE: I originally had a 'fitness cache' so that particles that stumbled upon the same
#       position wouldn't have to recalculate their fitness (which is often expensive).
#       However, this may be undesirable behavior for the user (if you come across the same position
#       then you may be settling in on a local maxima so you might want to randomize things and
#       keep searching.  For this reason, I'm leaving the cache out.  It would be trivial
#       for users to implement their own cache since they are passed the same array of values.
#
sub compute_fitness(@) {
    my (@values) = @_;
    my $return_fitness = 0;

#    no strict 'refs';
#    if(defined(&{"main::$user_fitness_function"})) {
#        $return_fitness = &$user_fitness_function(@values);
#    } else {
#        warn "error running user_fitness_function\n";
#        exit 1;
#    }

lib/AI/PSO.pm  view on Meta::CPAN

    $return_fitness = $user_fitness_function->call(@values);

    return $return_fitness;
}


#
# random
# - returns a random number that is between the first and second arguments using the Math::Random module
#
sub random($$) {
    my ($min, $max) = @_;
    return random_uniform(1, $min, $max)
}


#
# get_index_of_neighbor
#
# - returns the index of Nth neighbor of the index for particle P
# ==> A neighbor is one of the next K particles following P where K is the neighborhood size.
#    So, particle 1 has neighbors 2, 3, 4, 5 if K = 4.  particle 4 has neighbors 5, 6, 7, 8
#    ...
# 
sub get_index_of_neighbor($$) {
    my ($particleIndex, $neighborNum) = @_;
    # TODO: insert error checking code / defensive programming
    return ($particleIndex + $neighborNum) % $numParticles;
}


#
# get_index_of_best_fit_neighbor
# - returns the index of the neighbor with the best fitness (when given a particle index)...
# 
sub get_index_of_best_fit_neighbor($) {
    my ($particleIndex) = @_;
    my $bestNeighborFitness   = 0;
    my $bestNeighborIndex     = 0;
    my $particleNeighborIndex = 0;
    for(my $neighbor = 0; $neighbor < $numNeighbors; $neighbor++) {
        $particleNeighborIndex = &get_index_of_neighbor($particleIndex, $neighbor);
        if(&compute_fitness(@{$particles[$particleNeighborIndex]{bestPos}}) > $bestNeighborFitness) { 
            $bestNeighborFitness = &compute_fitness(@{$particles[$particleNeighborIndex]{bestPos}});
            $bestNeighborIndex = $particleNeighborIndex;
        }
    }
    # TODO: insert error checking code / defensive programming
    return $particleNeighborIndex;
}

#
# clamp_velocity
# - restricts the change in velocity to be within a certain range (prevents large jumps in problem hyperspace)
#
sub clamp_velocity($) {
    my ($dx) = @_;
    if($dx < $deltaMin) {
        $dx = $deltaMin;
    } elsif($dx > $deltaMax) {
        $dx = $deltaMax;
    }
    return $dx;
}
#---------  END  INTERNAL SUBROUTINES -----------

lib/AI/PSO.pm  view on Meta::CPAN

      meMin          => 0.0,   # 'individuality' minimum random weight
      meMax          => 1.0,   # 'individuality' maximum random weight
      themWeight     => 2.0,   # 'social' weighting constant (higher means trust group more)
      themMin        => 0.0,   # 'social' minimum random weight 
      themMax        => 1.0,   # 'social' maximum random weight
      exitFitness    => 0.9,   # minimum fitness to achieve before exiting
      verbose        => 0,     # 0 prints solution
                               # 1 prints (Y|N):particle:fitness at each iteration
                               # 2 dumps each particle (+1)
      psoRandomRange => 4.0,   # setting this enables the original PSO algorithm and
                               # also subsequently ignores the  me*/them* parameters
  );


  sub custom_fitness_function(@input) {	
        # this is a callback function.  
        # @input will be passed to this, you do not need to worry about setting it...
        # ... do something with @input which is an array of floats
        # return a value in [0,1] with 0 being the worst and 1 being the best
  }

  pso_set_params(\%params);
  pso_register_fitness_function('custom_fitness_function');
  pso_optimize();
  my @solutionArray = pso_get_solution_array();

t/PSO.t  view on Meta::CPAN

	themMax        => 1.0,
	exitFitness    => 0.99,
	verbose        => 1,
);

my %test_params2 = %test_params;
$test_params2{psoRandomRange} = 4.0;

# simple test function to sum the position values up to 3.5
my $testValue = 3.5;
sub test_fitness_function(@) {
        my (@arr) = (@_);
        my $sum = 0;
	my $ret = 0;
        foreach my $val (@arr) {
                $sum += $val;
        }
	# sigmoid-like ==> squash the result to [0,1] and get as close to 3.5 as we can
	return 2 / (1 + exp(abs($testValue - $sum)));

	return $ret;



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