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-// Copyright (C) 2012 Emanuele Cesena (emanuele.cesena@gmail.com), Davis E. King
-// License: Boost Software License See LICENSE.txt for the full license.
-#undef DLIB_SAMMoN_ABSTRACT_Hh_
-#ifdef DLIB_SAMMoN_ABSTRACT_Hh_
-
-#include "../matrix/matrix_abstract.h"
-#include <vector>
-
-namespace dlib
-{
-
- class sammon_projection
- {
- /*!
- WHAT THIS OBJECT REPRESENTS
- This is a function object that computes the Sammon projection of a set
- of N points in a L-dimensional vector space onto a d-dimensional space
- (d < L), according to the paper:
- A Nonlinear Mapping for Data Structure Analysis (1969) by J.W. Sammon
-
- The current implementation is a vectorized version of the original algorithm.
- !*/
-
- public:
-
- sammon_projection(
- );
- /*!
- ensures
- - this object is properly initialized
- !*/
-
- template <typename matrix_type>
- std::vector<matrix<double,0,1> > operator() (
- const std::vector<matrix_type>& data,
- const long num_dims
- );
- /*!
- requires
- - num_dims > 0
- - matrix_type should be a kind of dlib::matrix of doubles capable
- of representing column vectors.
- - for all valid i:
- - is_col_vector(data[i]) == true
- - data[0].size() == data[i].size()
- (i.e. all the vectors in data must have the same dimensionality)
- - if (data.size() != 0) then
- - 0 < num_dims <= data[0].size()
- (i.e. you can't project into a higher dimension than the input data,
- only to a lower dimension.)
- ensures
- - This routine computes Sammon's dimensionality reduction method based on the
- given input data. It will attempt to project the contents of data into a
- num_dims dimensional space that preserves relative distances between the
- input data points.
- - This function returns a std::vector, OUT, such that:
- - OUT == a set of column vectors that represent the Sammon projection of
- the input data vectors.
- - OUT.size() == data.size()
- - for all valid i:
- - OUT[i].size() == num_dims
- - OUT[i] == the Sammon projection of the input vector data[i]
- !*/
-
- template <typename matrix_type>
- void operator() (
- const std::vector<matrix_type>& data,
- const long num_dims,
- std::vector<matrix<double,0,1> >& result,
- double &err,
- const unsigned long num_iters = 1000,
- const double err_delta = 1.0e-9
- );
- /*!
- requires
- - num_iters > 0
- - err_delta > 0
- - num_dims > 0
- - matrix_type should be a kind of dlib::matrix of doubles capable
- of representing column vectors.
- - for all valid i:
- - is_col_vector(data[i]) == true
- - data[0].size() == data[i].size()
- (i.e. all the vectors in data must have the same dimensionality)
- - if (data.size() != 0) then
- - 0 < num_dims <= data[0].size()
- (i.e. you can't project into a higher dimension than the input data,
- only to a lower dimension.)
- ensures
- - This routine computes Sammon's dimensionality reduction method based on the
- given input data. It will attempt to project the contents of data into a
- num_dims dimensional space that preserves relative distances between the
- input data points.
- - #err == the final error value at the end of the algorithm. The goal of Sammon's
- algorithm is to find a lower dimensional projection of the input data that
- preserves the relative distances between points. The value in #err is a measure
- of the total error at the end of the algorithm. So smaller values indicate
- a better projection was found than if a large value is returned via #err.
- - Sammon's algorithm will run until either num_iters iterations has executed
- or the change in error from one iteration to the next is less than err_delta.
- - Upon completion, the output of Sammon's projection is stored into #result, in
- particular, we will have:
- - #result == a set of column vectors that represent the Sammon projection of
- the input data vectors.
- - #result.size() == data.size()
- - for all valid i:
- - #result[i].size() == num_dims
- - #result[i] == the Sammon projection of the input vector data[i]
- !*/
-
- };
-
-}
-
-#endif // DLIB_SAMMoN_ABSTRACT_Hh_
-
-