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CGaussian Class Reference

Detailed Description

Gaussian distribution interface.

Takes as input a mean vector and covariance matrix. Also possible to train from data. Likelihood is computed using the Gaussian PDF \((2\pi)^{-\frac{k}{2}}|\Sigma|^{-\frac{1}{2}}e^{-\frac{1}{2}(x-\mu)'\Sigma^{-1}(x-\mu)}\) The actual computations depend on the type of covariance used.

Definition at line 50 of file Gaussian.h.

Inheritance diagram for CGaussian:
Inheritance graph
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Public Member Functions

 CGaussian ()
 
 CGaussian (const SGVector< float64_t > mean, SGMatrix< float64_t > cov, ECovType cov_type=FULL)
 
virtual ~CGaussian ()
 
void init ()
 
virtual bool train (CFeatures *data=NULL)
 
virtual int32_t get_num_model_parameters ()
 
virtual float64_t get_log_model_parameter (int32_t num_param)
 
virtual float64_t get_log_derivative (int32_t num_param, int32_t num_example)
 
virtual float64_t get_log_likelihood_example (int32_t num_example)
 
virtual float64_t update_params_em (float64_t *alpha_k, int32_t len)
 
virtual float64_t compute_PDF (SGVector< float64_t > point)
 
virtual float64_t compute_log_PDF (SGVector< float64_t > point)
 
virtual SGVector< float64_tget_mean ()
 
virtual void set_mean (const SGVector< float64_t > mean)
 
virtual SGMatrix< float64_tget_cov ()
 
virtual void set_cov (SGMatrix< float64_t > cov)
 
ECovType get_cov_type ()
 
void set_cov_type (ECovType cov_type)
 
SGVector< float64_tget_d ()
 
void set_d (const SGVector< float64_t > d)
 
SGMatrix< float64_tget_u ()
 
void set_u (SGMatrix< float64_t > u)
 
SGVector< float64_tsample ()
 
virtual const char * get_name () const
 
virtual int32_t get_num_relevant_model_parameters ()
 
virtual float64_t get_log_likelihood_sample ()
 
virtual SGVector< float64_tget_log_likelihood ()
 
virtual float64_t get_model_parameter (int32_t num_param)
 
virtual float64_t get_derivative (int32_t num_param, int32_t num_example)
 
virtual float64_t get_likelihood_example (int32_t num_example)
 
virtual SGVector< float64_tget_likelihood_for_all_examples ()
 
virtual void set_features (CFeatures *f)
 
virtual CFeaturesget_features ()
 
virtual void set_pseudo_count (float64_t pseudo)
 
virtual float64_t get_pseudo_count ()
 
virtual CSGObjectshallow_copy () const
 
virtual CSGObjectdeep_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)
 
SGIOget_global_io ()
 
void set_global_parallel (Parallel *parallel)
 
Parallelget_global_parallel ()
 
void set_global_version (Version *version)
 
Versionget_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 CSGObjectclone ()
 

Static Public Member Functions

static CGaussianobtain_from_generic (CDistribution *distribution)
 
static CDistributionobtain_from_generic (CSGObject *object)
 

Public Attributes

SGIOio
 
Parallelparallel
 
Versionversion
 
Parameterm_parameters
 
Parameterm_model_selection_parameters
 
Parameterm_gradient_parameters
 
uint32_t m_hash
 

Protected Member Functions

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)
 

Protected Attributes

float64_t m_constant
 
SGVector< float64_tm_d
 
SGMatrix< float64_tm_u
 
SGVector< float64_tm_mean
 
ECovType m_cov_type
 
CFeaturesfeatures
 
float64_t pseudo_count
 

Constructor & Destructor Documentation

CGaussian ( )

default constructor

Definition at line 21 of file Gaussian.cpp.

CGaussian ( const SGVector< float64_t mean,
SGMatrix< float64_t cov,
ECovType  cov_type = FULL 
)

constructor

Parameters
meanmean of the Gaussian
covcovariance of the Gaussian
cov_typecovariance type (full, diagonal or shperical)

Definition at line 26 of file Gaussian.cpp.

~CGaussian ( )
virtual

Definition at line 61 of file Gaussian.cpp.

Member Function Documentation

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.

Parameters
dictdictionary of parameters to be built.

Definition at line 597 of file SGObject.cpp.

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.

Returns
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

Definition at line 714 of file SGObject.cpp.

float64_t compute_log_PDF ( SGVector< float64_t point)
virtual

compute log PDF

Parameters
pointpoint for which to compute the log PDF
Returns
computed log PDF

Definition at line 221 of file Gaussian.cpp.

virtual float64_t compute_PDF ( SGVector< float64_t point)
virtual

compute PDF

Parameters
pointpoint for which to compute the PDF
Returns
computed PDF

Definition at line 120 of file Gaussian.h.

CSGObject * deep_copy ( ) const
virtualinherited

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

Definition at line 198 of file SGObject.cpp.

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.

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

Definition at line 618 of file SGObject.cpp.

SGMatrix< float64_t > get_cov ( )
virtual

get covariance

Returns
cov covariance, memory needs to be freed by user

Definition at line 287 of file Gaussian.cpp.

ECovType get_cov_type ( )

get covariance type

Returns
covariance type

Definition at line 162 of file Gaussian.h.

SGVector<float64_t> get_d ( )

get diagonal

Returns
diagonal

Definition at line 182 of file Gaussian.h.

virtual float64_t get_derivative ( int32_t  num_param,
int32_t  num_example 
)
virtualinherited

get partial derivative of likelihood function

Parameters
num_parampartial derivative against which param
num_examplewhich example
Returns
derivative of likelihood function

Definition at line 134 of file Distribution.h.

virtual CFeatures* get_features ( )
virtualinherited

get feature vectors

Returns
feature vectors

Definition at line 171 of file Distribution.h.

SGIO * get_global_io ( )
inherited

get the io object

Returns
io object

Definition at line 235 of file SGObject.cpp.

Parallel * get_global_parallel ( )
inherited

get the parallel object

Returns
parallel object

Definition at line 277 of file SGObject.cpp.

Version * get_global_version ( )
inherited

get the version object

Returns
version object

Definition at line 290 of file SGObject.cpp.

virtual float64_t get_likelihood_example ( int32_t  num_example)
virtualinherited

compute likelihood for example

Parameters
num_examplewhich example
Returns
likelihood for example

Reimplemented in CGMM, and CLinearHMM.

Definition at line 145 of file Distribution.h.

SGVector< float64_t > get_likelihood_for_all_examples ( )
virtualinherited

compute likelihood for all vectors in sample

Returns
likelihood vector for all examples

Definition at line 65 of file Distribution.cpp.

float64_t get_log_derivative ( int32_t  num_param,
int32_t  num_example 
)
virtual

get partial derivative of likelihood function (logarithmic)

Parameters
num_paramderivative against which param
num_examplewhich example
Returns
derivative of likelihood (logarithmic)

Implements CDistribution.

Definition at line 103 of file Gaussian.cpp.

SGVector< float64_t > get_log_likelihood ( )
virtualinherited

compute log likelihood for each example

Returns
log likelihood vector

Definition at line 39 of file Distribution.cpp.

float64_t get_log_likelihood_example ( int32_t  num_example)
virtual

compute log likelihood for example

abstract base method

Parameters
num_examplewhich example
Returns
log likelihood for example

Implements CDistribution.

Definition at line 109 of file Gaussian.cpp.

float64_t get_log_likelihood_sample ( )
virtualinherited

compute log likelihood for whole sample

Returns
log likelihood for whole sample

Definition at line 28 of file Distribution.cpp.

float64_t get_log_model_parameter ( int32_t  num_param)
virtual

get model parameter (logarithmic)

Returns
model parameter (logarithmic) if num_param < m_dim returns an element from the mean, else return an element from the covariance

Implements CDistribution.

Definition at line 97 of file Gaussian.cpp.

SGVector< float64_t > get_mean ( )
virtual

get mean

Returns
mean

Definition at line 260 of file Gaussian.cpp.

virtual float64_t get_model_parameter ( int32_t  num_param)
virtualinherited

get model parameter

Parameters
num_paramwhich param
Returns
model parameter

Definition at line 123 of file Distribution.h.

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

Definition at line 498 of file SGObject.cpp.

char * get_modsel_param_descr ( const char *  param_name)
inherited

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

Parameters
param_namename of the parameter
Returns
description of the parameter

Definition at line 522 of file SGObject.cpp.

index_t get_modsel_param_index ( const char *  param_name)
inherited

Returns index of model selection parameter with provided index

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

Definition at line 535 of file SGObject.cpp.

virtual const char* get_name ( ) const
virtual
Returns
object name

Implements CSGObject.

Definition at line 224 of file Gaussian.h.

int32_t get_num_model_parameters ( )
virtual

get number of parameters in model

Returns
number of parameters in model

Implements CDistribution.

Definition at line 83 of file Gaussian.cpp.

int32_t get_num_relevant_model_parameters ( )
virtualinherited

get number of parameters in model that are relevant, i.e. > ALMOST_NEG_INFTY

Returns
number of relevant model parameters

Definition at line 52 of file Distribution.cpp.

virtual float64_t get_pseudo_count ( )
virtualinherited

get pseudo count

Returns
pseudo count

Definition at line 187 of file Distribution.h.

SGMatrix<float64_t> get_u ( )

get unitary matrix

Returns
unitary matrix

Definition at line 197 of file Gaussian.h.

void init ( )

Compute the constant part

Definition at line 45 of file Gaussian.cpp.

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.

Parameters
genericset to the type of the generic if returning TRUE
Returns
TRUE if a class template.

Definition at line 296 of file SGObject.cpp.

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!

Parameters
filewhere to load from
prefixprefix for members
Returns
TRUE if done, otherwise FALSE

Definition at line 369 of file SGObject.cpp.

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.

Exceptions
ShogunExceptionwill be thrown if an error occurs.

Reimplemented in CKernel, CWeightedDegreePositionStringKernel, CList, CAlphabet, CLinearHMM, CGaussianKernel, CInverseMultiQuadricKernel, CCircularKernel, and CExponentialKernel.

Definition at line 426 of file SGObject.cpp.

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.

Exceptions
ShogunExceptionwill be thrown if an error occurs.

Reimplemented in CDynamicArray< T >, CDynamicArray< float64_t >, CDynamicArray< float32_t >, CDynamicArray< int32_t >, CDynamicArray< char >, CDynamicArray< bool >, and CDynamicObjectArray.

Definition at line 421 of file SGObject.cpp.

CDistribution * obtain_from_generic ( CSGObject object)
staticinherited

obtain from generic

Parameters
objectgeneric object
Returns
Distribution object

Definition at line 85 of file Distribution.cpp.

CGaussian * obtain_from_generic ( CDistribution distribution)
static
Parameters
distributionis casted to CGaussian, NULL if not possible Note that the object is SG_REF'ed
Returns
casted CGaussian object

Definition at line 412 of file Gaussian.cpp.

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

Definition at line 262 of file SGObject.cpp.

void print_modsel_params ( )
inherited

prints all parameter registered for model selection and their type

Definition at line 474 of file SGObject.cpp.

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

prints registered parameters out

Parameters
prefixprefix for members

Definition at line 308 of file SGObject.cpp.

SGVector< float64_t > sample ( )

sample from distribution

Returns
sample

Definition at line 361 of file Gaussian.cpp.

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

Save this object to file.

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

Definition at line 314 of file SGObject.cpp.

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.

Exceptions
ShogunExceptionwill be thrown if an error occurs.

Reimplemented in CKernel.

Definition at line 436 of file SGObject.cpp.

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.

Exceptions
ShogunExceptionwill be thrown if an error occurs.

Reimplemented in CKernel, CDynamicArray< T >, CDynamicArray< float64_t >, CDynamicArray< float32_t >, CDynamicArray< int32_t >, CDynamicArray< char >, CDynamicArray< bool >, and CDynamicObjectArray.

Definition at line 431 of file SGObject.cpp.

void set_cov ( SGMatrix< float64_t cov)
virtual

set covariance

Doesn't store the covariance, but decomposes, thus the covariance can be freed after exit without harming the object

Parameters
covnew covariance

Definition at line 273 of file Gaussian.cpp.

void set_cov_type ( ECovType  cov_type)

set covariance type

Will only take effect after covariance is changed

Parameters
cov_typenew covariance type

Definition at line 173 of file Gaussian.h.

void set_d ( const SGVector< float64_t d)

set diagonal

Parameters
dnew diagonal

Definition at line 281 of file Gaussian.cpp.

virtual void set_features ( CFeatures f)
virtualinherited

set feature vectors

Parameters
fnew feature vectors

Definition at line 160 of file Distribution.h.

void set_generic ( )
inherited

Definition at line 41 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 46 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 51 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 56 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 61 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 66 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 71 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 76 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 81 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 86 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 91 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 96 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 101 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 106 of file SGObject.cpp.

void set_generic ( )
inherited

Definition at line 111 of file SGObject.cpp.

void set_generic ( )
inherited

set generic type to T

void set_global_io ( SGIO io)
inherited

set the io object

Parameters
ioio object to use

Definition at line 228 of file SGObject.cpp.

void set_global_parallel ( Parallel parallel)
inherited

set the parallel object

Parameters
parallelparallel object to use

Definition at line 241 of file SGObject.cpp.

void set_global_version ( Version version)
inherited

set the version object

Parameters
versionversion object to use

Definition at line 283 of file SGObject.cpp.

void set_mean ( const SGVector< float64_t mean)
virtual

set mean

Parameters
meannew mean

Definition at line 265 of file Gaussian.cpp.

virtual void set_pseudo_count ( float64_t  pseudo)
virtualinherited

set pseudo count

Parameters
pseudonew pseudo count

Definition at line 181 of file Distribution.h.

void set_u ( SGMatrix< float64_t u)

set unitary matrix

Parameters
unew unitary matrix

Definition at line 206 of file Gaussian.h.

CSGObject * shallow_copy ( ) const
virtualinherited

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

Reimplemented in CGaussianKernel.

Definition at line 192 of file SGObject.cpp.

bool train ( CFeatures data = NULL)
virtual

learn distribution

Parameters
datatraining data
Returns
whether training was successful

Implements CDistribution.

Definition at line 65 of file Gaussian.cpp.

void unset_generic ( )
inherited

unset generic type

this has to be called in classes specializing a template class

Definition at line 303 of file SGObject.cpp.

void update_parameter_hash ( )
virtualinherited

Updates the hash of current parameter combination

Definition at line 248 of file SGObject.cpp.

float64_t update_params_em ( float64_t alpha_k,
int32_t  len 
)
virtual

update parameters in the em maximization step for mixture model of which this distribution is a part

Parameters
alpha_k"belongingness" values of various data points
lenlength of alpha_k array
Returns
sum of values in alpha_k

Reimplemented from CDistribution.

Definition at line 117 of file Gaussian.cpp.

Member Data Documentation

CFeatures* features
protectedinherited

feature vectors

Definition at line 209 of file Distribution.h.

SGIO* io
inherited

io

Definition at line 369 of file SGObject.h.

float64_t m_constant
protected

constant part

Definition at line 238 of file Gaussian.h.

ECovType m_cov_type
protected

covariance type

Definition at line 246 of file Gaussian.h.

SGVector<float64_t> m_d
protected

diagonal

Definition at line 240 of file Gaussian.h.

Parameter* m_gradient_parameters
inherited

parameters wrt which we can compute gradients

Definition at line 384 of file SGObject.h.

uint32_t m_hash
inherited

Hash of parameter values

Definition at line 387 of file SGObject.h.

SGVector<float64_t> m_mean
protected

mean

Definition at line 244 of file Gaussian.h.

Parameter* m_model_selection_parameters
inherited

model selection parameters

Definition at line 381 of file SGObject.h.

Parameter* m_parameters
inherited

parameters

Definition at line 378 of file SGObject.h.

SGMatrix<float64_t> m_u
protected

unitary matrix

Definition at line 242 of file Gaussian.h.

Parallel* parallel
inherited

parallel

Definition at line 372 of file SGObject.h.

float64_t pseudo_count
protectedinherited

pseudo count

Definition at line 211 of file Distribution.h.

Version* version
inherited

version

Definition at line 375 of file SGObject.h.


The documentation for this class was generated from the following files:

SHOGUN Machine Learning Toolbox - Documentation