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eodev/eo/src/es/eoEsMutate.h

289 lines
7.4 KiB
C++

// -*- mode: c++; c-indent-level: 4; c++-member-init-indent: 8; comment-column: 35; -*-
//-----------------------------------------------------------------------------
// eoESMute.h : ES mutation
// (c) Maarten Keijzer 2000 & GeNeura Team, 1998 for the EO part
// Th. Baeck 1994 and EEAAX 1999 for the ES part
/*
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
Contact: todos@geneura.ugr.es, http://geneura.ugr.es
marc.schoenauer@polytechnique.fr
http://eeaax.cmap.polytchnique.fr/
*/
//-----------------------------------------------------------------------------
#ifndef _EOESMUTATE_H
#define _EOESMUTATE_H
#include <utils/eoRNG.h>
#include <eoInit.h>
#include <cmath> // for exp
#include <es/eoEsMutationInit.h>
#include <es/eoEsSimple.h>
#include <es/eoEsStdev.h>
#include <es/eoEsFull.h>
#include <es/eoEsObjectiveBounds.h>
#include <eoOp.h>
#ifndef M_PI
#define M_PI 3.1415926535897932384626433832795
#endif
/**
\ingroup EvolutionStrategies
ES-style mutation in the large: Obviously, valid only for eoES*
It is currently valid for three types of ES chromosomes:
eoEsSimple: only 1 std deviation
eoEsStdev: as many standard deviations as object variables
eoEsFull: The whole guacemole: correlations, stdevs and object variables
Each of these three variant has it's own operator() in eoEsMutate and intialization
is also split into three cases (that share some commonalities)
*/
template <class EOT>
class eoEsMutate: public eoMonOp< EOT > {
public:
typedef typename EOT::Fitness FitT;
/** Initialization
parameters:
@param _init proxy class for initializating the three parameters eoEsMutate needs
@param _bounds the bounds for the objective variables
*/
eoEsMutate(eoEsMutationInit& _init, eoEsObjectiveBounds& _bounds) : bounds(_bounds)
{
init(EOT(), _init); // initialize on actual type used
}
/// needed virtual dtor
virtual ~eoEsMutate() {};
/** Inherited from eoObject
@see eoObject
*/
virtual string className() const {return "eoESMutate";};
/**
Mutate eoEsSimple
*/
virtual void operator()( eoEsSimple<FitT>& _eo)
{
_eo.stdev *= exp(TauLcl * rng.normal());
if (_eo.stdev < stdev_eps)
_eo.stdev = stdev_eps;
// now apply to all
for (unsigned i = 0; i < _eo.size(); ++i)
{
_eo[i] += _eo.stdev * rng.normal();
}
keepInBounds(_eo);
_eo.invalidate();
}
/// mutations - standard and correlated
// =========
/*
* Standard mutation of object variables and standard
* deviations in ESs.
* If there are fewer different standard deviations available
* than the dimension of the objective function requires, the
* last standard deviation is responsible for ALL remaining
* object variables.
* Schwefel 1977: Numerische Optimierung von Computer-Modellen
* mittels der Evolutionsstrategie, pp. 165 ff.
*/
virtual void operator()( eoEsStdev<FitT>& _eo )
{
double global = exp(TauGlb * rng.normal());
for (unsigned i = 0; i < _eo.size(); i++)
{
double stdev = _eo.stdevs[i];
stdev *= global * exp(TauLcl * rng.normal());
if (stdev < stdev_eps)
stdev = stdev_eps;
_eo.stdevs[i] = stdev;
_eo[i] += stdev * rng.normal();
}
keepInBounds(_eo);
_eo.invalidate();
}
/*
* Correlated mutations in ESs, according to the following
* sources:
* H.-P. Schwefel: Internal Report of KFA Juelich, KFA-STE-IB-3/80
* p. 43, 1980
* G. Rudolph: Globale Optimierung mit parallelen Evolutions-
* strategien, Diploma Thesis, University of Dortmund, 1990
*/
// Code from Thomas Baeck
virtual void operator()( eoEsFull<FitT> & _eo )
{
/*
* First: mutate standard deviations (as above).
*/
double global = exp(TauGlb * rng.normal());
unsigned i;
for (i = 0; i < _eo.size(); i++)
{
double stdev = _eo.stdevs[i];
stdev *= global * exp(TauLcl * rng.normal());
if (stdev < stdev_eps)
stdev = stdev_eps;
_eo.stdevs[i] = stdev;
}
/*
* Mutate rotation angles.
*/
for (i = 0; i < _eo.correlations.size(); i++)
{
_eo.correlations[i] += TauBeta * rng.normal();
if ( fabs(_eo.correlations[i]) > M_PI )
{
_eo.correlations[i] -= M_PI * (int) (_eo.correlations[i]/M_PI) ;
}
}
/*
* Perform correlated mutations.
*/
unsigned k, n1, n2;
double d1,d2, S, C;
vector<double> VarStp(_eo.size());
for (i = 0; i < _eo.size(); i++)
VarStp[i] = _eo.stdevs[i] * rng.normal();
unsigned nq = _eo.correlations.size() - 1;
for (k = 0; k < _eo.size()-1; k++)
{
n1 = _eo.size() - k - 1;
n2 = _eo.size() - 1;
for (i = 0; i < k; i++)
{
d1 = VarStp[n1];
d2 = VarStp[n2];
S = sin( _eo.correlations[nq] );
C = cos( _eo.correlations[nq] );
VarStp[n2] = d1 * S + d2 * C;
VarStp[n1] = d1 * C - d2 * S;
n2--;
nq--;
}
}
for (i = 0; i < _eo.size(); i++)
_eo[i] += VarStp[i];
keepInBounds(_eo);
_eo.invalidate();
}
void keepInBounds(eoFixedLength<FitT, double>& _eo) const
{
for (unsigned i = 0; i < _eo.size(); ++i)
{
if (_eo[i] < bounds.minimum(i))
_eo[i] = bounds.minimum(i);
else if (_eo[i] > bounds.maximum(i))
_eo[i] = bounds.maximum(i);
}
}
private :
void init(eoEsSimple<FitT>, eoEsMutationInit& _init)
{
unsigned size = bounds.chromSize();
TauLcl = _init.TauLcl();
TauLcl /= sqrt((double) size);
}
void init(eoEsStdev<FitT>, eoEsMutationInit& _init)
{
unsigned size = bounds.chromSize();
TauLcl = _init.TauLcl();
TauGlb = _init.TauGlb();
// renormalization
TauLcl /= sqrt( 2.0 * sqrt( (double)size ) );
TauGlb /= sqrt( 2.0 * ( (double) size ) );
}
void init(eoEsFull<FitT>, eoEsMutationInit& _init)
{
init(eoEsStdev<FitT>(), _init);
TauBeta = _init.TauBeta();
}
// the data
//=========
double TauLcl; /* Local factor for mutation of std deviations */
double TauGlb; /* Global factor for mutation of std deviations */
double TauBeta; /* Factor for mutation of correlation parameters */
eoEsObjectiveBounds& bounds;
static const double stdev_eps;
};
template <class EOT>
const double eoEsMutate<EOT>::stdev_eps = 1.0e-40;
/*
* Correlated mutations in ESs, according to the following
* sources:
* H.-P. Schwefel: Internal Report of KFA Juelich, KFA-STE-IB-3/80
* p. 43, 1980
* G. Rudolph: Globale Optimierung mit parallelen Evolutions-
* strategien, Diploma Thesis, University of Dortmund, 1990
*/
#endif