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CMMDKernelSelectionCombMaxL2类 参考

详细描述

Implementation of maximum MMD kernel selection for combined kernel. This class selects a combination of baseline kernels that maximises the the MMD for a combined kernel based on a L2-regularization approach. This boils down to solve the convex program

\[ \min_\beta \{\beta^T \beta \quad \text{s.t.}\quad \beta^T \eta=1, \beta\succeq 0\}, \]

where \(\eta\) is a vector whose elements are the MMDs of the baseline kernels.

This is meant to work for the CQuadraticTimeMMD statistic. Optimal weight selecton for CLinearTimeMMD can be found in CMMDKernelSelectionCombOpt.

The method is described in Gretton, A., Sriperumbudur, B., Sejdinovic, D., Strathmann, H., Balakrishnan, S., Pontil, M., & Fukumizu, K. (2012). Optimal kernel choice for large-scale two-sample tests. Advances in Neural Information Processing Systems.

在文件 MMDKernelSelectionCombMaxL2.h 第 40 行定义.

类 CMMDKernelSelectionCombMaxL2 继承关系图:
Inheritance graph
[图例]

Public 成员函数

 CMMDKernelSelectionCombMaxL2 ()
 
 CMMDKernelSelectionCombMaxL2 (CKernelTwoSampleTest *mmd)
 
virtual ~CMMDKernelSelectionCombMaxL2 ()
 
virtual SGVector< float64_t > compute_measures ()
 
virtual const char * get_name () const
 
virtual CKernel * select_kernel ()
 
void set_estimator (CKernelTwoSampleTest *estimator)
 
CKernelTwoSampleTest * get_estimator () const
 
virtual CSGObject * shallow_copy () const
 
virtual CSGObject * deep_copy () const
 
virtual bool is_generic (EPrimitiveType *generic) const
 
template<class T >
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
template<>
void set_generic ()
 
void unset_generic ()
 
virtual void print_serializable (const char *prefix="")
 
virtual bool save_serializable (CSerializableFile *file, const char *prefix="")
 
virtual bool load_serializable (CSerializableFile *file, const char *prefix="")
 
void set_global_io (SGIO *io)
 
SGIO * get_global_io ()
 
void set_global_parallel (Parallel *parallel)
 
Parallel * get_global_parallel ()
 
void set_global_version (Version *version)
 
Version * get_global_version ()
 
SGStringList< char > get_modelsel_names ()
 
void print_modsel_params ()
 
char * get_modsel_param_descr (const char *param_name)
 
index_t get_modsel_param_index (const char *param_name)
 
void build_gradient_parameter_dictionary (CMap< TParameter *, CSGObject * > *dict)
 
virtual void update_parameter_hash ()
 
virtual bool parameter_hash_changed ()
 
virtual bool equals (CSGObject *other, float64_t accuracy=0.0, bool tolerant=false)
 
virtual CSGObject * clone ()
 

Public 属性

SGIO * io
 
Parallel * parallel
 
Version * version
 
Parameter * m_parameters
 
Parameter * m_model_selection_parameters
 
Parameter * m_gradient_parameters
 
uint32_t m_hash
 

Protected 成员函数

virtual SGVector< float64_t > solve_optimization (SGVector< float64_t > mmds)
 
virtual void load_serializable_pre () throw (ShogunException)
 
virtual void load_serializable_post () throw (ShogunException)
 
virtual void save_serializable_pre () throw (ShogunException)
 
virtual void save_serializable_post () throw (ShogunException)
 

静态 Protected 成员函数

static const float64_t * get_Q_col (uint32_t i)
 
static void print_state (libqp_state_T state)
 

Protected 属性

index_t m_opt_max_iterations
 
float64_t m_opt_epsilon
 
float64_t m_opt_low_cut
 
CKernelTwoSampleTest * m_estimator
 

静态 Protected 属性

static SGMatrix< float64_t > m_Q =SGMatrix<float64_t>(false)
 

构造及析构函数说明

Default constructor

在文件 MMDKernelSelectionCombMaxL2.cpp 第 18 行定义.

Constructor that initialises the underlying MMD instance

参数
mmdMMD instance to use. Has to be an MMD based kernel two-sample test. Currently: linear or quadratic time MMD.

在文件 MMDKernelSelectionCombMaxL2.cpp 第 23 行定义.

Destructor

在文件 MMDKernelSelectionCombMaxL2.cpp 第 33 行定义.

成员函数说明

void build_gradient_parameter_dictionary ( CMap< TParameter *, CSGObject * > *  dict)
inherited

Builds a dictionary of all parameters in SGObject as well of those of SGObjects that are parameters of this object. Dictionary maps parameters to the objects that own them.

参数
dictdictionary of parameters to be built.

在文件 SGObject.cpp 第 597 行定义.

CSGObject * clone ( )
virtualinherited

Creates a clone of the current object. This is done via recursively traversing all parameters, which corresponds to a deep copy. Calling equals on the cloned object always returns true although none of the memory of both objects overlaps.

返回
an identical copy of the given object, which is disjoint in memory. NULL if the clone fails. Note that the returned object is SG_REF'ed

在文件 SGObject.cpp 第 714 行定义.

SGVector< float64_t > compute_measures ( )
virtual

Computes kernel weights which maximise the MMD of the underlying combined kernel using L2-regularization.

This boils down to solving a convex program which is quadratic in the number of kernels. See class description.

SHOGUN has to be compiled with LAPACK to make this available. See set_opt* methods for optimization parameters.

IMPORTANT: Kernel weights have to be learned on different data than is used for testing/evaluation!

实现了 CMMDKernelSelection.

在文件 MMDKernelSelectionCombMaxL2.cpp 第 37 行定义.

CSGObject * deep_copy ( ) const
virtualinherited

A deep copy. All the instance variables will also be copied.

在文件 SGObject.cpp 第 198 行定义.

bool equals ( CSGObject *  other,
float64_t  accuracy = 0.0,
bool  tolerant = false 
)
virtualinherited

Recursively compares the current SGObject to another one. Compares all registered numerical parameters, recursion upon complex (SGObject) parameters. Does not compare pointers!

May be overwritten but please do with care! Should not be necessary in most cases.

参数
otherobject to compare with
accuracyaccuracy to use for comparison (optional)
tolerantallows linient check on float equality (within accuracy)
返回
true if all parameters were equal, false if not

在文件 SGObject.cpp 第 618 行定义.

CKernelTwoSampleTest * get_estimator ( ) const
inherited
返回
the underlying CKernelTwoSampleTest instance

在文件 KernelSelection.cpp 第 82 行定义.

SGIO * get_global_io ( )
inherited

get the io object

返回
io object

在文件 SGObject.cpp 第 235 行定义.

Parallel * get_global_parallel ( )
inherited

get the parallel object

返回
parallel object

在文件 SGObject.cpp 第 277 行定义.

Version * get_global_version ( )
inherited

get the version object

返回
version object

在文件 SGObject.cpp 第 290 行定义.

SGStringList< char > get_modelsel_names ( )
inherited
返回
vector of names of all parameters which are registered for model selection

在文件 SGObject.cpp 第 498 行定义.

char * get_modsel_param_descr ( const char *  param_name)
inherited

Returns description of a given parameter string, if it exists. SG_ERROR otherwise

参数
param_namename of the parameter
返回
description of the parameter

在文件 SGObject.cpp 第 522 行定义.

index_t get_modsel_param_index ( const char *  param_name)
inherited

Returns index of model selection parameter with provided index

参数
param_namename of model selection parameter
返回
index of model selection parameter with provided name, -1 if there is no such

在文件 SGObject.cpp 第 535 行定义.

virtual const char* get_name ( ) const
virtual
返回
name of the SGSerializable

实现了 CMMDKernelSelectionComb.

在文件 MMDKernelSelectionCombMaxL2.h 第 72 行定义.

const float64_t * get_Q_col ( uint32_t  i)
staticprotectedinherited

return pointer to i-th column of m_Q. Helper for libqp

在文件 MMDKernelSelectionComb.cpp 第 63 行定义.

bool is_generic ( EPrimitiveType *  generic) const
virtualinherited

If the SGSerializable is a class template then TRUE will be returned and GENERIC is set to the type of the generic.

参数
genericset to the type of the generic if returning TRUE
返回
TRUE if a class template.

在文件 SGObject.cpp 第 296 行定义.

bool load_serializable ( CSerializableFile *  file,
const char *  prefix = "" 
)
virtualinherited

Load this object from file. If it will fail (returning FALSE) then this object will contain inconsistent data and should not be used!

参数
filewhere to load from
prefixprefix for members
返回
TRUE if done, otherwise FALSE

在文件 SGObject.cpp 第 369 行定义.

void load_serializable_post ( )
throw (ShogunException
)
protectedvirtualinherited

Can (optionally) be overridden to post-initialize some member variables which are not PARAMETER::ADD'ed. Make sure that at first the overridden method BASE_CLASS::LOAD_SERIALIZABLE_POST is called.

异常
ShogunExceptionwill be thrown if an error occurs.

被 CKernel, CWeightedDegreePositionStringKernel, CList, CAlphabet, CLinearHMM, CGaussianKernel, CInverseMultiQuadricKernel, CCircularKernel , 以及 CExponentialKernel 重载.

在文件 SGObject.cpp 第 426 行定义.

void load_serializable_pre ( )
throw (ShogunException
)
protectedvirtualinherited

Can (optionally) be overridden to pre-initialize some member variables which are not PARAMETER::ADD'ed. Make sure that at first the overridden method BASE_CLASS::LOAD_SERIALIZABLE_PRE is called.

异常
ShogunExceptionwill be thrown if an error occurs.

被 CDynamicArray< T >, CDynamicArray< float64_t >, CDynamicArray< float32_t >, CDynamicArray< int32_t >, CDynamicArray< char >, CDynamicArray< bool > , 以及 CDynamicObjectArray 重载.

在文件 SGObject.cpp 第 421 行定义.

bool parameter_hash_changed ( )
virtualinherited
返回
whether parameter combination has changed since last update

在文件 SGObject.cpp 第 262 行定义.

void print_modsel_params ( )
inherited

prints all parameter registered for model selection and their type

在文件 SGObject.cpp 第 474 行定义.

void print_serializable ( const char *  prefix = "")
virtualinherited

prints registered parameters out

参数
prefixprefix for members

在文件 SGObject.cpp 第 308 行定义.

void print_state ( libqp_state_T  state)
staticprotectedinherited

helper function that prints current state

在文件 MMDKernelSelectionComb.cpp 第 69 行定义.

bool save_serializable ( CSerializableFile *  file,
const char *  prefix = "" 
)
virtualinherited

Save this object to file.

参数
filewhere to save the object; will be closed during returning if PREFIX is an empty string.
prefixprefix for members
返回
TRUE if done, otherwise FALSE

在文件 SGObject.cpp 第 314 行定义.

void save_serializable_post ( )
throw (ShogunException
)
protectedvirtualinherited

Can (optionally) be overridden to post-initialize some member variables which are not PARAMETER::ADD'ed. Make sure that at first the overridden method BASE_CLASS::SAVE_SERIALIZABLE_POST is called.

异常
ShogunExceptionwill be thrown if an error occurs.

被 CKernel 重载.

在文件 SGObject.cpp 第 436 行定义.

void save_serializable_pre ( )
throw (ShogunException
)
protectedvirtualinherited

Can (optionally) be overridden to pre-initialize some member variables which are not PARAMETER::ADD'ed. Make sure that at first the overridden method BASE_CLASS::SAVE_SERIALIZABLE_PRE is called.

异常
ShogunExceptionwill be thrown if an error occurs.

被 CKernel, CDynamicArray< T >, CDynamicArray< float64_t >, CDynamicArray< float32_t >, CDynamicArray< int32_t >, CDynamicArray< char >, CDynamicArray< bool > , 以及 CDynamicObjectArray 重载.

在文件 SGObject.cpp 第 431 行定义.

CKernel * select_kernel ( )
virtualinherited
返回
computes weights for the underlying kernel, sets them to it, and returns it (SG_REF'ed)
underlying kernel with weights set

重载 CMMDKernelSelection .

在文件 MMDKernelSelectionComb.cpp 第 47 行定义.

void set_estimator ( CKernelTwoSampleTest *  estimator)
inherited
参数
estimatorthe underlying CKernelTwoSampleTest instance

在文件 KernelSelection.cpp 第 64 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 41 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 46 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 51 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 56 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 61 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 66 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 71 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 76 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 81 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 86 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 91 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 96 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 101 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 106 行定义.

void set_generic ( )
inherited

在文件 SGObject.cpp 第 111 行定义.

void set_generic ( )
inherited

set generic type to T

void set_global_io ( SGIO *  io)
inherited

set the io object

参数
ioio object to use

在文件 SGObject.cpp 第 228 行定义.

void set_global_parallel ( Parallel *  parallel)
inherited

set the parallel object

参数
parallelparallel object to use

在文件 SGObject.cpp 第 241 行定义.

void set_global_version ( Version *  version)
inherited

set the version object

参数
versionversion object to use

在文件 SGObject.cpp 第 283 行定义.

CSGObject * shallow_copy ( ) const
virtualinherited

A shallow copy. All the SGObject instance variables will be simply assigned and SG_REF-ed.

被 CGaussianKernel 重载.

在文件 SGObject.cpp 第 192 行定义.

SGVector< float64_t > solve_optimization ( SGVector< float64_t >  mmds)
protectedvirtualinherited

Solves the quadratic program

\[ \min_\beta \{\beta^T Q \beta \quad \text{s.t.}\quad \beta^T \eta=1, \beta\succeq 0\}, \]

where \(\eta\) is a given parameter and \(Q\) is the m_Q member.

Note that at least one element is assumed \(\eta\) has to be positive.

参数
mmdsvalues that will be put into \(\eta\). At least one element is assumed to be positive
返回
result of optimization \(\beta\)

在文件 MMDKernelSelectionComb.cpp 第 74 行定义.

void unset_generic ( )
inherited

unset generic type

this has to be called in classes specializing a template class

在文件 SGObject.cpp 第 303 行定义.

void update_parameter_hash ( )
virtualinherited

Updates the hash of current parameter combination

在文件 SGObject.cpp 第 248 行定义.

类成员变量说明

SGIO* io
inherited

io

在文件 SGObject.h 第 369 行定义.

CKernelTwoSampleTest* m_estimator
protectedinherited

Underlying kernel two-sample test instance

在文件 KernelSelection.h 第 99 行定义.

Parameter* m_gradient_parameters
inherited

parameters wrt which we can compute gradients

在文件 SGObject.h 第 384 行定义.

uint32_t m_hash
inherited

Hash of parameter values

在文件 SGObject.h 第 387 行定义.

Parameter* m_model_selection_parameters
inherited

model selection parameters

在文件 SGObject.h 第 381 行定义.

float64_t m_opt_epsilon
protectedinherited

stopping accuracy of qp solver

在文件 MMDKernelSelectionComb.h 第 80 行定义.

float64_t m_opt_low_cut
protectedinherited

low cut for weights, if weights are under this value, are set to zero

在文件 MMDKernelSelectionComb.h 第 83 行定义.

index_t m_opt_max_iterations
protectedinherited

maximum number of iterations of qp solver

在文件 MMDKernelSelectionComb.h 第 77 行定义.

Parameter* m_parameters
inherited

parameters

在文件 SGObject.h 第 378 行定义.

SGMatrix< float64_t > m_Q =SGMatrix<float64_t>(false)
staticprotectedinherited

matrix for selection of kernel weights (static because of libqp)

在文件 MMDKernelSelectionComb.h 第 86 行定义.

Parallel* parallel
inherited

parallel

在文件 SGObject.h 第 372 行定义.

Version* version
inherited

version

在文件 SGObject.h 第 375 行定义.


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