M3PP(2, m) fitted to the counting process of a multi-class TRACE (matlab/lib/m3a/m3a/m3pp/m3pp2m_fitc_trace.m), and the analogous MMPP(2) entry point for a given MAP (matlab/lib/kpctoolbox/mmpp/mmpp2_fitc_theoretical.m). More...

#include <cstddef>
#include <string>
#include <vector>
#include "line/api/mam/m3pp22_fitc_cov.h"
#include "line/api/mam/m3pp2m_fitc.h"
#include "line/api/mam/m3pp2m_fitc_approx.h"
#include "line/api/mam/m3pp_superpos_fitc.h"
#include "line/api/mam/map_count_mean.h"
#include "line/api/mam/map_count_moment.h"
#include "line/api/mam/map_count_var.h"
#include "line/api/trace/mtrace_iat2counts.h"
#include "line/num/number.h"
#include "line/util/error.h"
#include "line/util/matrix.h"

Include dependency graph for m3pp2m_fitc_trace.h:

Classes
struct	line::mam::M3pp2mFitcTraceResult< T >
	Result of m3pp2m_fitc_trace. More...

Namespaces
namespace	line
namespace	line::mam

Functions
template<class T>
M3pp2mFitcTraceResult< T >	line::mam::m3pp2m_fitc_trace (const std::vector< T > &Tv, const std::vector< int > &A, const std::string &method, const T &t1, const T &tinf)
	Fit a multi-class trace with an M3PP(2, m) on its counting process.
template<class T>
M3pp2mFitcTraceResult< T >	line::mam::m3pp2m_fitc_trace (const std::vector< T > &Tv, const std::vector< int > &A, const std::string &method)
	m3pp2m_fitc_trace with the reference's default time scales.
template<class T>
Mmpp2FitcResult< T >	line::mam::mmpp2_fitc_theoretical (const Map< T > &mp, const T &t1, const T &t2, const T &tinf)
	MMPP(2) fitted to the counting characteristics of a GIVEN MAP (matlab/lib/kpctoolbox/mmpp/mmpp2_fitc_theoretical.m).
template<class T>
Mmpp2FitcResult< T >	line::mam::mmpp2_fitc_theoretical (const Map< T > &mp)
	mmpp2_fitc_theoretical with the reference's default time scales 1, 10, 1e8.

Detailed Description

M3PP(2, m) fitted to the counting process of a multi-class TRACE (matlab/lib/m3a/m3a/m3pp/m3pp2m_fitc_trace.m), and the analogous MMPP(2) entry point for a given MAP (matlab/lib/kpctoolbox/mmpp/mmpp2_fitc_theoretical.m).

The trace is reduced to counting windows with mtrace_iat2counts at two resolutions, and the aggregate characteristics (rate, IDC at t1 and at tinf, third central moment at t2) plus the per-class ones are read off those windows; the four methods then differ only in WHICH per-class statistic they feed to the corresponding fitter:

exact_delta -> m3pp2m_fitc, per-class variance DIFFERENCE
approx_delta -> m3pp2m_fitc_approx, same, least squares
approx_cov -> m3pp22_fitc_approx_cov, pairwise covariance, 2 classes only
approx_ag -> m3pp2m_fitc_approx_ag, variance plus covariance

Two conventions of the reference are load-bearing and are kept verbatim. First, bt2 is set EQUAL to bt1 rather than measured at t2: the reference counts at t1 and reuses the window (mNt2 = mNt1), so the second time scale enters only through t2 = t1 + mean(T) in the fitter's own algebra. Second, t3 = tinf and not t1; the reference carries a comment recording that change, and it is what sets how far out the per-class characteristics are matched.

MATLAB's var normalizes by n - 1 and its cov likewise; both are used here with the same denominator, since the fitted characteristics are compared against the reference's.

Gated on transcendental arithmetic, through the fitters.

Definition in file m3pp2m_fitc_trace.h.

Classes

Namespaces

Functions

Detailed Description