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gnn_bfgs.h

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00001 /***************************************************************************
00002  *  @file gnn_bfgs.h
00003  *  @brief gnn_bfgs Header File.
00004  *
00005  *  @date   : 05-10-03 01:05
00006  *  @author : Pedro Ortega C. <peortega@dcc.uchile.cl>
00007  *  Copyright  2003  Pedro Ortega C.
00008  ****************************************************************************/
00009 /*
00010  *  This program is free software; you can redistribute it and/or modify
00011  *  it under the terms of the GNU General Public License as published by
00012  *  the Free Software Foundation; either version 2 of the License, or
00013  *  (at your option) any later version.
00014  *
00015  *  This program is distributed in the hope that it will be useful,
00016  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
00017  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00018  *  GNU Library General Public License for more details.
00019  *
00020  *  You should have received a copy of the GNU General Public License
00021  *  along with this program; if not, write to the Free Software
00022  *  Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
00023  */
00024 
00025 #ifndef _GNN_BFGS_H_
00026 #define _GNN_BFGS_H_
00027 
00028 
00029 
00030 /******************************************/
00031 /* Include Files                          */
00032 /******************************************/
00033 
00034 #include "gnn_line_search.h"
00035 #include "gnn_trainer.h"
00036 
00037 
00038 
00039 /******************************************/
00040 /* Typedefs and Definitions               */
00041 /******************************************/
00042 
00043 /**
00044  * @brief Default precision for line search procedures.
00045  * @ingroup gnn_bfgs_doc
00046  *
00047  * This constant defines the tolerance for the line search procedure used by
00048  * the conjugate gradients algorithm.
00049  */
00050 #define GNN_BFGS_TOL 0.0001
00051 
00052 /**
00053  * @brief Default bracketing step taken by the line search procedures.
00054  * @ingroup gnn_bfgs_doc
00055  *
00056  * This constant defines the initial step taken by the bracketing algorithm
00057  * to search the minimum along the line.
00058  */
00059 #define GNN_BFGS_STEP 0.1
00060 
00061 /**
00062  * @brief Default restart.
00063  * @ingroup gnn_bfgs_doc
00064  *
00065  * This constant defines the default number of iterations that the conjugate
00066  * gradients algorithm takes before restarting the algorithm.
00067  */
00068 #define GNN_BFGS_RESTART 100
00069 
00070 /**
00071  * @brief Default line search procedure.
00072  * @ingroup gnn_bfgs_doc
00073  *
00074  * This is the default line search procedure used by the conjugate gradients
00075  * algorithm.
00076  */
00077 #define GNN_BFGS_ALPHA   gnn_line_search_brent
00078 
00079 /**
00080  * @brief Type for \f$\beta\f$ evaluation procedures.
00081  * @ingroup gnn_bfgs_doc
00082  *
00083  * This type defines the form of the procedures for computing the \f$\beta\f$
00084  * coefficient used by the conjugate gradients method.
00085  */
00086 typedef double (*gnn_bfgs_beta) (gnn_trainer *trainer);
00087 
00088 /**
00089  * @brief Conjugate gradients trainer structure.
00090  * @ingroup gnn_bfgs_doc
00091  *
00092  * This type extends the basic \ref gnn_trainer structure for the conjugate
00093  * gradients trainer.
00094  */
00095 typedef struct _gnn_bfgs gnn_bfgs;
00096 
00097 struct _gnn_bfgs
00098 {
00099     gnn_trainer trainer;
00100     gsl_vector *wnew;   /**< new parameter vector   */
00101     gsl_vector *wold;   /**< old parameter vector   */
00102     gsl_vector *gnew;   /**< new gradient vector    */
00103     gsl_vector *gold;   /**< old gradient vector    */
00104     gsl_vector *u;      /**< auxiliary vector       */
00105     gsl_vector *v;      /**< auxiliary vector       */
00106     gsl_vector *p;      /**< auxiliary vector       */
00107     gsl_vector *q;      /**< auxiliary vector       */
00108     gsl_matrix *G;      /**< inverse Hessian approximation */
00109     
00110     gsl_matrix_view Uview;       /**< matrix view of auxiliary vector */
00111     gsl_matrix_view Vview;       /**< matrix view of auxiliary vector */
00112     gsl_matrix_view Pview;       /**< matrix view of auxiliary vector */
00113     gsl_matrix_view Qview;       /**< matrix view of auxiliary vector */
00114     gsl_matrix *U;            /**< matrix pointer to auxiliary vector */
00115     gsl_matrix *V;            /**< matrix pointer to auxiliary vector */
00116     gsl_matrix *P;            /**< matrix pointer to auxiliary vector */
00117     gsl_matrix *Q;            /**< matrix pointer to auxiliary vector */
00118 
00119     gnn_line   *line;                  /**< line search buffers       */
00120 
00121     gnn_line_search_type alpha;        /**< line search procedure     */
00122 
00123     double step;  /**< Initial step taken to bracket search interval  */
00124     double tol;   /**< Required precision for line search procedure   */
00125 
00126     size_t iteration;   /**< Number of the current iteration          */
00127     size_t restart;     /**< Number of iterations required to restart */
00128 };
00129 
00130 
00131 
00132 /******************************************/
00133 /* Public Interface                       */
00134 /******************************************/
00135 
00136 gnn_trainer *
00137 gnn_bfgs_new (gnn_node *node, gnn_criterion *crit, gnn_dataset *data);
00138 
00139 int
00140 gnn_bfgs_set_tol (gnn_trainer *trainer, double tol);
00141 
00142 double
00143 gnn_bfgs_get_tol (gnn_trainer *trainer);
00144 
00145 int
00146 gnn_bfgs_set_step (gnn_trainer *trainer, double step);
00147 
00148 double
00149 gnn_bfgs_get_step (gnn_trainer *trainer);
00150 
00151 int
00152 gnn_bfgs_set_restart (gnn_trainer *trainer, size_t restart);
00153 
00154 size_t
00155 gnn_bfgs_get_restart (gnn_trainer *trainer);
00156 
00157 int
00158 gnn_bfgs_set_line_search (gnn_trainer *trainer,
00159                                         gnn_line_search_type lsearch);
00160 
00161 gnn_line_search_type
00162 gnn_bfgs_get_alpha (gnn_trainer *trainer);
00163 
00164 
00165 
00166 #endif /* _GNN_BFGS_H_ */
00167 
00168 
00169 

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