Commit fa9c519e authored by Davis King's avatar Davis King

Moved the reduced set stuff to its own file. Also added a prototype

version of another reduced set algorithm.

--HG--
extra : convert_revision : svn%3Afdd8eb12-d10e-0410-9acb-85c331704f74/trunk%402419
parent 6d3c1e54
......@@ -10,6 +10,7 @@
#include "svm/feature_ranking.h"
#include "svm/rbf_network.h"
#include "svm/linearly_independent_subset_finder.h"
#include "svm/reduced.h"
#endif // DLIB_SVm_HEADER
......
This diff is collapsed.
// Copyright (C) 2008 Davis E. King (davisking@users.sourceforge.net)
// License: Boost Software License See LICENSE.txt for the full license.
#undef DLIB_REDUCED_TRAINERs_ABSTRACT_
#ifdef DLIB_REDUCED_TRAINERs_ABSTRACT_
#include "../matrix.h"
#include "../algs.h"
#include "function_abstract.h"
#include "kernel_abstract.h"
#include "../optimization.h"
namespace dlib
{
// ----------------------------------------------------------------------------------------
template <
typename trainer_type
>
class reduced_decision_function_trainer
{
/*!
WHAT THIS OBJECT REPRESENTS
This object represents an implementation of a reduced set algorithm
for support vector decision functions. This object acts as a post
processor for anything that creates decision_function objects. It
wraps another trainer object and performs this reduced set post
processing with the goal of representing the original decision
function in a form that involves fewer support vectors.
!*/
public:
typedef typename trainer_type::kernel_type kernel_type;
typedef typename trainer_type::scalar_type scalar_type;
typedef typename trainer_type::sample_type sample_type;
typedef typename trainer_type::mem_manager_type mem_manager_type;
typedef typename trainer_type::trained_function_type trained_function_type;
explicit reduced_decision_function_trainer (
const trainer_type& trainer,
const unsigned long num_sv
);
/*!
requires
- num_sv > 0
- trainer_type == some kind of trainer object (e.g. svm_nu_trainer)
ensures
- returns a trainer object that applies post processing to the decision_function
objects created by the given trainer object with the goal of creating
decision_function objects with fewer support vectors.
- The reduced decision functions that are output will have at most
num_sv support vectors.
!*/
template <
typename in_sample_vector_type,
typename in_scalar_vector_type
>
const decision_function<kernel_type> train (
const in_sample_vector_type& x,
const in_scalar_vector_type& y
) const;
/*!
ensures
- trains a decision_function using the trainer that was supplied to
this object's constructor and then finds a reduced representation
for it and returns the reduced version.
throws
- std::bad_alloc
- any exceptions thrown by the trainer_type object
!*/
};
// ----------------------------------------------------------------------------------------
template <
typename trainer_type
>
const reduced_decision_function_trainer<trainer_type> reduced (
const trainer_type& trainer,
const unsigned long num_sv
) { return reduced_decision_function_trainer<trainer_type>(trainer, num_sv); }
/*!
requires
- num_sv > 0
- trainer_type == some kind of trainer object that creates decision_function
objects (e.g. svm_nu_trainer)
ensures
- returns a reduced_decision_function_trainer object that has been
instantiated with the given arguments.
!*/
// ----------------------------------------------------------------------------------------
}
#endif // DLIB_REDUCED_TRAINERs_ABSTRACT_
......@@ -15,8 +15,6 @@
#include "function.h"
#include "kernel.h"
#include "../enable_if.h"
#include "kcentroid.h"
#include "linearly_independent_subset_finder.h"
namespace dlib
{
......@@ -1424,146 +1422,6 @@ namespace dlib
// ----------------------------------------------------------------------------------------
// ----------------------------------------------------------------------------------------
// ----------------------------------------------------------------------------------------
template <
typename trainer_type
>
class reduced_decision_function_trainer
{
public:
typedef typename trainer_type::kernel_type kernel_type;
typedef typename trainer_type::scalar_type scalar_type;
typedef typename trainer_type::sample_type sample_type;
typedef typename trainer_type::mem_manager_type mem_manager_type;
typedef typename trainer_type::trained_function_type trained_function_type;
explicit reduced_decision_function_trainer (
const trainer_type& trainer_,
const unsigned long num_sv_
) :
trainer(trainer_),
num_sv(num_sv_)
{
}
template <
typename in_sample_vector_type,
typename in_scalar_vector_type
>
const decision_function<kernel_type> train (
const in_sample_vector_type& x,
const in_scalar_vector_type& y
) const
{
return do_train(vector_to_matrix(x), vector_to_matrix(y));
}
private:
// ------------------------------------------------------------------------------------
template <
typename in_sample_vector_type,
typename in_scalar_vector_type
>
const decision_function<kernel_type> do_train (
const in_sample_vector_type& x,
const in_scalar_vector_type& y
) const
{
// make sure requires clause is not broken
DLIB_ASSERT(is_binary_classification_problem(x,y) == true,
"\tdecision_function reduced_decision_function_trainer::train(x,y)"
<< "\n\t invalid inputs were given to this function"
<< "\n\t x.nr(): " << x.nr()
<< "\n\t y.nr(): " << y.nr()
<< "\n\t x.nc(): " << x.nc()
<< "\n\t y.nc(): " << y.nc()
<< "\n\t is_binary_classification_problem(x,y): " << ((is_binary_classification_problem(x,y))? "true":"false")
);
// get the decision function object we are going to try and approximate
const decision_function<kernel_type> dec_funct = trainer.train(x,y);
// now find a linearly independent subset of the training points of num_sv points.
linearly_independent_subset_finder<kernel_type> lisf(trainer.get_kernel(), num_sv);
for (long i = 0; i < x.nr(); ++i)
{
lisf.add(x(i));
}
// make num be the number of points in the lisf object. Just do this so we don't have
// to write out lisf.dictionary_size() all over the place.
const long num = lisf.dictionary_size();
// The next few blocks of code just find the best weights with which to approximate
// the dec_funct object with the smaller set of vectors in the lisf dictionary. This
// is really just a simple application of some linear algebra. For the details
// see page 554 of Learning with kernels by Scholkopf and Smola where they talk
// about "Optimal Expansion Coefficients."
matrix<scalar_type, 0, 0, mem_manager_type> K_inv(num, num);
matrix<scalar_type, 0, 0, mem_manager_type> K(num, dec_funct.alpha.size());
const kernel_type kernel(trainer.get_kernel());
for (long r = 0; r < K_inv.nr(); ++r)
{
for (long c = 0; c < K_inv.nc(); ++c)
{
K_inv(r,c) = kernel(lisf[r], lisf[c]);
}
}
K_inv = pinv(K_inv);
for (long r = 0; r < K.nr(); ++r)
{
for (long c = 0; c < K.nc(); ++c)
{
K(r,c) = kernel(lisf[r], dec_funct.support_vectors(c));
}
}
// Now we compute the approximate decision function. Note that the weights come out
// of the expression K_inv*K*dec_funct.alpha.
decision_function<kernel_type> new_df(K_inv*K*dec_funct.alpha,
0,
kernel,
lisf.get_dictionary());
// now we have to figure out what the new bias should be. It might be a little
// different since we just messed with all the weights and vectors.
double bias = 0;
for (long i = 0; i < x.nr(); ++i)
{
bias += new_df(x(i)) - dec_funct(x(i));
}
new_df.b = bias/x.nr();
return new_df;
}
// ------------------------------------------------------------------------------------
const trainer_type& trainer;
const unsigned long num_sv;
}; // end of class reduced_decision_function_trainer
template <typename trainer_type>
const reduced_decision_function_trainer<trainer_type> reduced (
const trainer_type& trainer,
const unsigned long num_sv
)
{
return reduced_decision_function_trainer<trainer_type>(trainer, num_sv);
}
// ----------------------------------------------------------------------------------------
}
#endif // DLIB_SVm_
......
......@@ -296,86 +296,6 @@ namespace dlib
- std::bad_alloc
!*/
// ----------------------------------------------------------------------------------------
template <
typename trainer_type
>
class reduced_decision_function_trainer
{
/*!
WHAT THIS OBJECT REPRESENTS
This object represents an implementation of a reduced set algorithm
for support vector decision functions. This object acts as a post
processor for anything that creates decision_function objects. It
wraps another trainer object and performs this reduced set post
processing with the goal of representing the original decision
function in a form that involves fewer support vectors.
!*/
public:
typedef typename trainer_type::kernel_type kernel_type;
typedef typename trainer_type::scalar_type scalar_type;
typedef typename trainer_type::sample_type sample_type;
typedef typename trainer_type::mem_manager_type mem_manager_type;
typedef typename trainer_type::trained_function_type trained_function_type;
explicit reduced_decision_function_trainer (
const trainer_type& trainer_,
const scalar_type tolerance_ = 0.001
);
/*!
requires
- tolerance >= 0
- trainer_type == some kind of trainer object (e.g. svm_nu_trainer)
ensures
- returns a trainer object that applies post processing to the decision_function
objects created by the given trainer object with the goal of creating
decision_function objects with fewer support vectors.
- tolerance == a parameter that controls how accurate the post processing
is in preserving the original decision_function. Larger values
result in a decision_function with fewer support vectors but may
decrease the accuracy of the resulting decision_function.
!*/
template <
typename in_sample_vector_type,
typename in_scalar_vector_type
>
const decision_function<kernel_type> train (
const in_sample_vector_type& x,
const in_scalar_vector_type& y
) const;
/*!
ensures
- trains a decision_function using the trainer that was supplied to
this object's constructor and then finds a reduced representation
for it and returns the reduced version.
throws
- std::bad_alloc
- any exceptions thrown by the trainer_type object
!*/
};
template <
typename trainer_type
>
const reduced_decision_function_trainer<trainer_type> reduced (
const trainer_type& trainer,
const typename trainer_type::scalar_type& tolerance = 0.001
) { return reduced_decision_function_trainer<trainer_type>(trainer, tolerance); }
/*!
requires
- tolerance >= 0
- trainer_type == some kind of trainer object that creates decision_function
objects (e.g. svm_nu_trainer)
ensures
- returns a reduced_decision_function_trainer object that has been
instantiated with the given arguments.
!*/
// ----------------------------------------------------------------------------------------
// ----------------------------------------------------------------------------------------
// Miscellaneous functions
......
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