#include <algorithm>
#include <vector>
#include "matrix/packed-matrix.h"
#include "matrix/sp-matrix-inl.h"

Include dependency graph for sp-matrix.h:

This graph shows which files directly or indirectly include this file:

Classes
class	SpMatrix< Real >
	Packed symetric matrix class. More...

class	SpMatrix< Real >
	Packed symetric matrix class. More...

struct	SolverOptions
	This class describes the options for maximizing various quadratic objective functions. More...

Namespaces
	kaldi
	This code computes Goodness of Pronunciation (GOP) and extracts phone-level pronunciation feature for mispronunciations detection tasks, the reference:

Functions
float	TraceSpSp (const SpMatrix< float > &A, const SpMatrix< float > &B)
	Returns tr(A B). More...

double	TraceSpSp (const SpMatrix< double > &A, const SpMatrix< double > &B)

template<typename Real >
bool	ApproxEqual (const SpMatrix< Real > &A, const SpMatrix< Real > &B, Real tol=0.01)

template<typename Real >
void	AssertEqual (const SpMatrix< Real > &A, const SpMatrix< Real > &B, Real tol=0.01)

template<typename Real , typename OtherReal >
Real	TraceSpSp (const SpMatrix< Real > &A, const SpMatrix< OtherReal > &B)
	Returns tr(A B). More...

template<typename Real >
Real	TraceSpSpLower (const SpMatrix< Real > &A, const SpMatrix< Real > &B)

template<typename Real >
Real	TraceSpMat (const SpMatrix< Real > &A, const MatrixBase< Real > &B)
	Returns tr(A B). More...

template<typename Real >
Real	TraceMatSpMat (const MatrixBase< Real > &A, MatrixTransposeType transA, const SpMatrix< Real > &B, const MatrixBase< Real > &C, MatrixTransposeType transC)
	Returns tr(A B C) (A and C may be transposed as specified by transA and transC). More...

template<typename Real >
Real	TraceMatSpMatSp (const MatrixBase< Real > &A, MatrixTransposeType transA, const SpMatrix< Real > &B, const MatrixBase< Real > &C, MatrixTransposeType transC, const SpMatrix< Real > &D)
	Returns tr (A B C D) (A and C may be transposed as specified by transA and transB). More...

template<typename Real >
Real	VecSpVec (const VectorBase< Real > &v1, const SpMatrix< Real > &M, const VectorBase< Real > &v2)
	Computes v1^T * M * v2. More...

template<typename Real >
Real	SolveQuadraticProblem (const SpMatrix< Real > &H, const VectorBase< Real > &g, const SolverOptions &opts, VectorBase< Real > *x)
	Maximizes the auxiliary function $Q(x) = x.g - 0.5 x^T H x$ using a numerically stable method. More...

template<typename Real >
Real	SolveQuadraticMatrixProblem (const SpMatrix< Real > &Q, const MatrixBase< Real > &Y, const SpMatrix< Real > &P, const SolverOptions &opts, MatrixBase< Real > *M)
	Maximizes the auxiliary function : $Q(x) = tr(M^T P Y) - 0.5 tr(P M Q M^T)$ Like a numerically stable version of $M := Y Q^{-1}$ . More...

template<typename Real >
Real	SolveDoubleQuadraticMatrixProblem (const MatrixBase< Real > &G, const SpMatrix< Real > &P1, const SpMatrix< Real > &P2, const SpMatrix< Real > &Q1, const SpMatrix< Real > &Q2, const SolverOptions &opts, MatrixBase< Real > *M)
	Maximizes the auxiliary function : $Q(M) = tr(M^T G) -0.5 tr(P_1 M Q_1 M^T) -0.5 tr(P_2 M Q_2 M^T).$ Encountered in matrix update with a prior. More...

Classes

Namespaces

Functions