SHOGUN
4.2.0
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The Fully Independent Conditional Training inference base class.
For more details, see QuiƱonero-Candela, Joaquin, and Carl Edward Rasmussen. "A unifying view of sparse approximate Gaussian process regression." The Journal of Machine Learning Research 6 (2005): 1939-1959.
The key idea of Sparse inference is to use the following kernel matrix \(\Sigma_{fitc}\) to approximate a kernel matrix, \(\Sigma_{N}\) derived from a GP prior.
\[ *\Sigma_{Sparse}=\textbf{diag}(\Sigma_{N}-\Phi)+\Phi *\]
where \(\Phi=\Sigma_{NM}\Sigma_{M}^{-1}\Sigma_{MN}\) \(\Sigma_{N}\) is the kernel matrix on features \(\Sigma_{M}\) is the kernel matrix on inducing points \(\Sigma_{NM}=\Sigma_{MN}^{T}\) is the kernel matrix between features and inducing features
Note that the number of inducing points (m) is usually far less than the number of input points (n). (the time complexity is computed based on the assumption m < n) The idea of Sparse approximation is to use a lower-ranked matrix plus a diagonal matrix to approximate the full kernel matrix. The time complexity of the main inference process can be reduced from O(n^3) to O(m^2*n).
Since we use \(\Sigma_{Sparse}\) to approximate \(\Sigma_{N}\), the (approximated) negative log marginal likelihood are computed based on \(\Sigma_{Sparse}\).
Definition at line 71 of file SparseInference.h.
Public Member Functions | |
CSparseInference () | |
CSparseInference (CKernel *kernel, CFeatures *features, CMeanFunction *mean, CLabels *labels, CLikelihoodModel *model, CFeatures *inducing_features) | |
virtual | ~CSparseInference () |
virtual EInferenceType | get_inference_type () const |
virtual const char * | get_name () const |
virtual void | set_inducing_features (CFeatures *feat) |
virtual CFeatures * | get_inducing_features () |
virtual SGVector< float64_t > | get_alpha () |
virtual SGMatrix< float64_t > | get_cholesky () |
virtual void | update ()=0 |
virtual void | set_inducing_noise (float64_t noise) |
virtual float64_t | get_inducing_noise () |
virtual SGVector< float64_t > | get_derivative_wrt_inducing_features (const TParameter *param)=0 |
virtual SGVector< float64_t > | get_posterior_mean ()=0 |
virtual SGMatrix< float64_t > | get_posterior_covariance ()=0 |
virtual float64_t | get_negative_log_marginal_likelihood ()=0 |
float64_t | get_marginal_likelihood_estimate (int32_t num_importance_samples=1, float64_t ridge_size=1e-15) |
virtual CMap< TParameter *, SGVector< float64_t > > * | get_negative_log_marginal_likelihood_derivatives (CMap< TParameter *, CSGObject * > *parameters) |
virtual SGVector< float64_t > | get_diagonal_vector ()=0 |
virtual CMap< TParameter *, SGVector< float64_t > > * | get_gradient (CMap< TParameter *, CSGObject * > *parameters) |
virtual SGVector< float64_t > | get_value () |
virtual CFeatures * | get_features () |
virtual void | set_features (CFeatures *feat) |
virtual CKernel * | get_kernel () |
virtual void | set_kernel (CKernel *kern) |
virtual CMeanFunction * | get_mean () |
virtual void | set_mean (CMeanFunction *m) |
virtual CLabels * | get_labels () |
virtual void | set_labels (CLabels *lab) |
CLikelihoodModel * | get_model () |
virtual void | set_model (CLikelihoodModel *mod) |
virtual float64_t | get_scale () const |
virtual void | set_scale (float64_t scale) |
virtual bool | supports_regression () const |
virtual bool | supports_binary () const |
virtual bool | supports_multiclass () const |
virtual SGMatrix< float64_t > | get_multiclass_E () |
virtual void | register_minimizer (Minimizer *minimizer) |
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) |
bool | has (const std::string &name) const |
template<typename T > | |
bool | has (const Tag< T > &tag) const |
template<typename T , typename U = void> | |
bool | has (const std::string &name) const |
template<typename T > | |
void | set (const Tag< T > &_tag, const T &value) |
template<typename T , typename U = void> | |
void | set (const std::string &name, const T &value) |
template<typename T > | |
T | get (const Tag< T > &_tag) const |
template<typename T , typename U = void> | |
T | get (const std::string &name) const |
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 Attributes | |
SGIO * | io |
Parallel * | parallel |
Version * | version |
Parameter * | m_parameters |
Parameter * | m_model_selection_parameters |
Parameter * | m_gradient_parameters |
uint32_t | m_hash |
Protected Member Functions | |
virtual void | convert_features () |
virtual void | check_features () |
virtual void | check_members () const |
virtual void | update_train_kernel () |
virtual SGVector< float64_t > | get_derivative_wrt_inference_method (const TParameter *param)=0 |
virtual SGVector< float64_t > | get_derivative_wrt_likelihood_model (const TParameter *param)=0 |
virtual SGVector< float64_t > | get_derivative_wrt_kernel (const TParameter *param)=0 |
virtual SGVector< float64_t > | get_derivative_wrt_mean (const TParameter *param)=0 |
virtual SGVector< float64_t > | get_derivative_wrt_inducing_noise (const TParameter *param)=0 |
virtual void | update_alpha ()=0 |
virtual void | update_chol ()=0 |
virtual void | update_deriv ()=0 |
virtual void | compute_gradient () |
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) |
template<typename T > | |
void | register_param (Tag< T > &_tag, const T &value) |
template<typename T > | |
void | register_param (const std::string &name, const T &value) |
Static Protected Member Functions | |
static void * | get_derivative_helper (void *p) |
Protected Attributes | |
SGMatrix< float64_t > | m_inducing_features |
float64_t | m_log_ind_noise |
SGMatrix< float64_t > | m_kuu |
SGMatrix< float64_t > | m_ktru |
SGMatrix< float64_t > | m_Sigma |
SGVector< float64_t > | m_mu |
SGVector< float64_t > | m_ktrtr_diag |
Minimizer * | m_minimizer |
CKernel * | m_kernel |
CMeanFunction * | m_mean |
CLikelihoodModel * | m_model |
CFeatures * | m_features |
CLabels * | m_labels |
SGVector< float64_t > | m_alpha |
SGMatrix< float64_t > | m_L |
float64_t | m_log_scale |
SGMatrix< float64_t > | m_ktrtr |
SGMatrix< float64_t > | m_E |
bool | m_gradient_update |
CSparseInference | ( | ) |
default constructor
Definition at line 43 of file SparseInference.cpp.
CSparseInference | ( | CKernel * | kernel, |
CFeatures * | features, | ||
CMeanFunction * | mean, | ||
CLabels * | labels, | ||
CLikelihoodModel * | model, | ||
CFeatures * | inducing_features | ||
) |
constructor
kernel | covariance function |
features | features to use in inference |
mean | mean function |
labels | labels of the features |
model | likelihood model to use |
inducing_features | features to use |
Definition at line 90 of file SparseInference.cpp.
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virtual |
Definition at line 123 of file SparseInference.cpp.
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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.
dict | dictionary of parameters to be built. |
Definition at line 630 of file SGObject.cpp.
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check whether features and inducing features are set
Definition at line 48 of file SparseInference.cpp.
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check if members of object are valid for inference
Reimplemented from CInference.
Reimplemented in CFITCInferenceMethod, and CVarDTCInferenceMethod.
Definition at line 127 of file SparseInference.cpp.
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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.
Definition at line 747 of file SGObject.cpp.
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protectedvirtualinherited |
update gradients
Reimplemented in CExactInferenceMethod, CEPInferenceMethod, CVarDTCInferenceMethod, CKLInference, CFITCInferenceMethod, CSingleFITCLaplaceInferenceMethod, and CLaplaceInference.
Definition at line 343 of file Inference.cpp.
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protectedvirtual |
convert inducing features and features to the same represention
Note that these two kinds of features can be different types. The reasons are listed below.
Definition at line 53 of file SparseInference.cpp.
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virtualinherited |
A deep copy. All the instance variables will also be copied.
Definition at line 231 of file SGObject.cpp.
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.
other | object to compare with |
accuracy | accuracy to use for comparison (optional) |
tolerant | allows linient check on float equality (within accuracy) |
Definition at line 651 of file SGObject.cpp.
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Getter for a class parameter, identified by a Tag. Throws an exception if the class does not have such a parameter.
_tag | name and type information of parameter |
Definition at line 367 of file SGObject.h.
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Getter for a class parameter, identified by a name. Throws an exception if the class does not have such a parameter.
name | name of the parameter |
Definition at line 388 of file SGObject.h.
get alpha vector
\[ \mu = K\alpha \]
where \(\mu\) is the mean and \(K\) is the prior covariance matrix.
Implements CInference.
Definition at line 135 of file SparseInference.cpp.
get Cholesky decomposition matrix
\[ L = Cholesky(sW*K*sW+I) \]
where \(K\) is the prior covariance matrix, \(sW\) is the vector returned by get_diagonal_vector(), and \(I\) is the identity matrix.
Implements CInference.
Definition at line 144 of file SparseInference.cpp.
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staticprotectedinherited |
pthread helper method to compute negative log marginal likelihood derivatives wrt hyperparameter
Definition at line 268 of file Inference.cpp.
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pure virtual |
returns derivative of negative log marginal likelihood wrt inducing features (input) Note that in order to call this method, kernel must support Sparse inference
Implemented in CSingleFITCLaplaceInferenceMethod, CSingleFITCInference, CSingleSparseInference, and CVarDTCInferenceMethod.
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protectedpure virtual |
returns derivative of negative log marginal likelihood wrt inducing noise (noise from inducing features) parameter
param | parameter of given SparseInference class |
In order to enforce symmetrc positive definiteness of the kernel matrix on inducing points, \(\Sigma_{M}\), the following ridge trick is used since the matrix is learned from data.
\[ \Sigma_{M'}=\Sigma_{M}+\lambda*I \]
where \(\lambda \ge 0\) is the inducing noise.
In practice, we use the corrected matrix, \(\Sigma_{M'}\) in the following approximation.
\[ *\Sigma_{Sparse}=\textbf{diag}(\Sigma_{N}-\Phi)+\Phi *\]
where \(\Phi=\Sigma_{NM}\Sigma_{M'}^{-1}\Sigma_{MN}\)
Implemented in CSingleFITCLaplaceInferenceMethod, CVarDTCInferenceMethod, CSingleFITCInference, and CSingleSparseInference.
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protectedpure virtual |
returns derivative of negative log marginal likelihood wrt parameter of CInference class
param | parameter of CInference class |
Implements CInference.
Implemented in CSingleFITCLaplaceInferenceMethod, and CSingleSparseInference.
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protectedpure virtual |
returns derivative of negative log marginal likelihood wrt kernel's parameter
param | parameter of given kernel |
Implements CInference.
Implemented in CSingleFITCLaplaceInferenceMethod, and CSingleSparseInference.
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protectedpure virtual |
returns derivative of negative log marginal likelihood wrt parameter of likelihood model
param | parameter of given likelihood model |
Implements CInference.
Implemented in CSingleFITCLaplaceInferenceMethod, CSingleFITCInference, CFITCInferenceMethod, and CVarDTCInferenceMethod.
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protectedpure virtual |
returns derivative of negative log marginal likelihood wrt mean function's parameter
param | parameter of given mean function |
Implements CInference.
Implemented in CSingleFITCLaplaceInferenceMethod, CVarDTCInferenceMethod, and CSingleFITCInference.
get diagonal vector
Implemented in CKLDualInferenceMethod, CEPInferenceMethod, CExactInferenceMethod, CKLCovarianceInferenceMethod, CMultiLaplaceInferenceMethod, CSingleFITCLaplaceInferenceMethod, CSingleLaplaceInferenceMethod, CFITCInferenceMethod, CVarDTCInferenceMethod, and CKLLowerTriangularInference.
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get the gradient
parameters | parameter's dictionary |
Implements CDifferentiableFunction.
Definition at line 245 of file Inference.h.
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virtual |
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get the noise for inducing points
Definition at line 118 of file SparseInference.cpp.
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return what type of inference we are
Reimplemented from CInference.
Reimplemented in CSingleFITCLaplaceInferenceMethod, CFITCInferenceMethod, and CVarDTCInferenceMethod.
Definition at line 96 of file SparseInference.h.
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virtualinherited |
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inherited |
Computes an unbiased estimate of the marginal-likelihood (in log-domain),
\[ p(y|X,\theta), \]
where \(y\) are the labels, \(X\) are the features (omitted from in the following expressions), and \(\theta\) represent hyperparameters.
This is done via a Gaussian approximation to the posterior \(q(f|y, \theta)\approx p(f|y, \theta)\), which is computed by the underlying CInference instance (if implemented, otherwise error), and then using an importance sample estimator
\[ p(y|\theta)=\int p(y|f)p(f|\theta)df =\int p(y|f)\frac{p(f|\theta)}{q(f|y, \theta)}q(f|y, \theta)df \approx\frac{1}{n}\sum_{i=1}^n p(y|f^{(i)})\frac{p(f^{(i)}|\theta)} {q(f^{(i)}|y, \theta)}, \]
where \( f^{(i)} \) are samples from the posterior approximation \( q(f|y, \theta) \). The resulting estimator has a low variance if \( q(f|y, \theta) \) is a good approximation. It has large variance otherwise (while still being consistent). Storing all number of log-domain ensures numerical stability.
num_importance_samples | the number of importance samples \(n\) from \( q(f|y, \theta) \). |
ridge_size | scalar that is added to the diagonal of the involved Gaussian distribution's covariance of GP prior and posterior approximation to stabilise things. Increase if covariance matrix is not numerically positive semi-definite. |
Definition at line 139 of file Inference.cpp.
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inherited |
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Definition at line 531 of file SGObject.cpp.
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Returns description of a given parameter string, if it exists. SG_ERROR otherwise
param_name | name of the parameter |
Definition at line 555 of file SGObject.cpp.
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Returns index of model selection parameter with provided index
param_name | name of model selection parameter |
Definition at line 568 of file SGObject.cpp.
get the E matrix used for multi classification
Definition at line 71 of file Inference.cpp.
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virtual |
returns the name of the inference method
Implements CSGObject.
Reimplemented in CSingleFITCInference, CSingleFITCLaplaceInferenceMethod, CFITCInferenceMethod, CVarDTCInferenceMethod, and CSingleSparseInference.
Definition at line 102 of file SparseInference.h.
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pure virtualinherited |
get negative log marginal likelihood
\[ -log(p(y|X, \theta)) \]
where \(y\) are the labels, \(X\) are the features, and \(\theta\) represent hyperparameters.
Implemented in CSingleFITCLaplaceInferenceMethod, CMultiLaplaceInferenceMethod, CKLInference, CExactInferenceMethod, CFITCInferenceMethod, CVarDTCInferenceMethod, CEPInferenceMethod, and CSingleLaplaceInferenceMethod.
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get log marginal likelihood gradient
\[ -\frac{\partial log(p(y|X, \theta))}{\partial \theta} \]
where \(y\) are the labels, \(X\) are the features, and \(\theta\) represent hyperparameters.
Definition at line 198 of file Inference.cpp.
returns covariance matrix \(\Sigma\) of the Gaussian distribution \(\mathcal{N}(\mu,\Sigma)\), which is an approximation to the posterior:
\[ p(f|y) \approx q(f|y) = \mathcal{N}(\mu,\Sigma) \]
in case if particular inference method doesn't compute posterior \(p(f|y)\) exactly, and it returns covariance matrix \(\Sigma\) of the posterior Gaussian distribution \(\mathcal{N}(\mu,\Sigma)\) otherwise.
Implements CInference.
Implemented in CFITCInferenceMethod, CVarDTCInferenceMethod, and CSingleFITCLaplaceInferenceMethod.
returns mean vector \(\mu\) of the Gaussian distribution \(\mathcal{N}(\mu,\Sigma)\), which is an approximation to the posterior:
\[ p(f|y) \approx q(f|y) = \mathcal{N}(\mu,\Sigma) \]
in case if particular inference method doesn't compute posterior \(p(f|y)\) exactly, and it returns covariance matrix \(\Sigma\) of the posterior Gaussian distribution \(\mathcal{N}(\mu,\Sigma)\) otherwise.
Implements CInference.
Implemented in CFITCInferenceMethod, CVarDTCInferenceMethod, and CSingleFITCLaplaceInferenceMethod.
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get the function value
Implements CDifferentiableFunction.
Definition at line 255 of file Inference.h.
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Checks if object has a class parameter identified by a name.
name | name of the parameter |
Definition at line 289 of file SGObject.h.
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Checks if object has a class parameter identified by a Tag.
tag | tag of the parameter containing name and type information |
Definition at line 301 of file SGObject.h.
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inherited |
Checks if a type exists for a class parameter identified by a name.
name | name of the parameter |
Definition at line 312 of file SGObject.h.
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virtualinherited |
If the SGSerializable is a class template then TRUE will be returned and GENERIC is set to the type of the generic.
generic | set to the type of the generic if returning TRUE |
Definition at line 329 of file SGObject.cpp.
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Load this object from file. If it will fail (returning FALSE) then this object will contain inconsistent data and should not be used!
file | where to load from |
prefix | prefix for members |
Definition at line 402 of file SGObject.cpp.
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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.
ShogunException | will be thrown if an error occurs. |
Reimplemented in CKernel, CWeightedDegreePositionStringKernel, CList, CAlphabet, CLinearHMM, CGaussianKernel, CInverseMultiQuadricKernel, CCircularKernel, and CExponentialKernel.
Definition at line 459 of file SGObject.cpp.
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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.
ShogunException | will 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 454 of file SGObject.cpp.
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Definition at line 295 of file SGObject.cpp.
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prints all parameter registered for model selection and their type
Definition at line 507 of file SGObject.cpp.
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prints registered parameters out
prefix | prefix for members |
Definition at line 341 of file SGObject.cpp.
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Set a minimizer
minimizer | minimizer used in inference method |
Reimplemented in CEPInferenceMethod, CKLInference, CExactInferenceMethod, CKLDualInferenceMethod, CSingleFITCLaplaceInferenceMethod, CFITCInferenceMethod, CVarDTCInferenceMethod, and CSingleLaplaceInferenceMethod.
Definition at line 128 of file Inference.cpp.
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protectedinherited |
Registers a class parameter which is identified by a tag. This enables the parameter to be modified by set() and retrieved by get(). Parameters can be registered in the constructor of the class.
_tag | name and type information of parameter |
value | value of the parameter |
Definition at line 439 of file SGObject.h.
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protectedinherited |
Registers a class parameter which is identified by a name. This enables the parameter to be modified by set() and retrieved by get(). Parameters can be registered in the constructor of the class.
name | name of the parameter |
value | value of the parameter along with type information |
Definition at line 452 of file SGObject.h.
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virtualinherited |
Save this object to file.
file | where to save the object; will be closed during returning if PREFIX is an empty string. |
prefix | prefix for members |
Definition at line 347 of file SGObject.cpp.
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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.
ShogunException | will be thrown if an error occurs. |
Reimplemented in CKernel.
Definition at line 469 of file SGObject.cpp.
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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.
ShogunException | will 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 464 of file SGObject.cpp.
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Setter for a class parameter, identified by a Tag. Throws an exception if the class does not have such a parameter.
_tag | name and type information of parameter |
value | value of the parameter |
Definition at line 328 of file SGObject.h.
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inherited |
Setter for a class parameter, identified by a name. Throws an exception if the class does not have such a parameter.
name | name of the parameter |
value | value of the parameter along with type information |
Definition at line 354 of file SGObject.h.
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Definition at line 74 of file SGObject.cpp.
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Definition at line 79 of file SGObject.cpp.
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Definition at line 84 of file SGObject.cpp.
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Definition at line 89 of file SGObject.cpp.
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Definition at line 94 of file SGObject.cpp.
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Definition at line 99 of file SGObject.cpp.
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Definition at line 104 of file SGObject.cpp.
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Definition at line 109 of file SGObject.cpp.
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Definition at line 114 of file SGObject.cpp.
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Definition at line 119 of file SGObject.cpp.
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Definition at line 124 of file SGObject.cpp.
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Definition at line 129 of file SGObject.cpp.
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Definition at line 134 of file SGObject.cpp.
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Definition at line 139 of file SGObject.cpp.
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Definition at line 144 of file SGObject.cpp.
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set generic type to T
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set the parallel object
parallel | parallel object to use |
Definition at line 274 of file SGObject.cpp.
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set the version object
version | version object to use |
Definition at line 316 of file SGObject.cpp.
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virtual |
set inducing features
feat | features to set |
Definition at line 108 of file SparseInference.h.
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set the noise for inducing points
noise | noise for inducing points |
The noise is used to enfore the kernel matrix about the inducing points are positive definite
Definition at line 112 of file SparseInference.cpp.
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virtualinherited |
set kernel
kern | kernel to set |
Reimplemented in CSingleSparseInference.
Definition at line 289 of file Inference.h.
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virtualinherited |
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virtualinherited |
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virtualinherited |
set likelihood model
mod | model to set |
Reimplemented in CKLDualInferenceMethod, and CKLInference.
Definition at line 340 of file Inference.h.
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virtualinherited |
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virtualinherited |
A shallow copy. All the SGObject instance variables will be simply assigned and SG_REF-ed.
Reimplemented in CGaussianKernel.
Definition at line 225 of file SGObject.cpp.
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virtualinherited |
whether combination of inference method and given likelihood function supports binary classification
Reimplemented in CEPInferenceMethod, CKLInference, CSingleFITCLaplaceInferenceMethod, and CSingleLaplaceInferenceMethod.
Definition at line 371 of file Inference.h.
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virtualinherited |
whether combination of inference method and given likelihood function supports multiclass classification
Reimplemented in CMultiLaplaceInferenceMethod.
Definition at line 378 of file Inference.h.
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whether combination of inference method and given likelihood function supports regression
Reimplemented in CExactInferenceMethod, CKLInference, CFITCInferenceMethod, CVarDTCInferenceMethod, CSingleFITCLaplaceInferenceMethod, and CSingleLaplaceInferenceMethod.
Definition at line 364 of file Inference.h.
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inherited |
unset generic type
this has to be called in classes specializing a template class
Definition at line 336 of file SGObject.cpp.
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pure virtual |
update all matrices
Reimplemented from CInference.
Implemented in CFITCInferenceMethod, CVarDTCInferenceMethod, and CSingleFITCLaplaceInferenceMethod.
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protectedpure virtualinherited |
update alpha vector
Implemented in CEPInferenceMethod, CKLDualInferenceMethod, CMultiLaplaceInferenceMethod, CExactInferenceMethod, CSingleFITCLaplaceInferenceMethod, CSingleFITCInference, CFITCInferenceMethod, CVarDTCInferenceMethod, CSingleLaplaceInferenceMethod, CKLCovarianceInferenceMethod, CKLDiagonalInferenceMethod, and CKLCholeskyInferenceMethod.
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protectedpure virtualinherited |
update cholesky matrix
Implemented in CEPInferenceMethod, CKLDualInferenceMethod, CMultiLaplaceInferenceMethod, CExactInferenceMethod, CSingleFITCLaplaceInferenceMethod, CSingleFITCInference, CFITCInferenceMethod, CVarDTCInferenceMethod, CSingleLaplaceInferenceMethod, CKLCovarianceInferenceMethod, and CKLLowerTriangularInference.
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protectedpure virtualinherited |
update matrices which are required to compute negative log marginal likelihood derivatives wrt hyperparameter
Implemented in CEPInferenceMethod, CMultiLaplaceInferenceMethod, CKLDualInferenceMethod, CExactInferenceMethod, CSingleFITCLaplaceInferenceMethod, CSingleFITCInference, CFITCInferenceMethod, CVarDTCInferenceMethod, CSingleLaplaceInferenceMethod, CKLCovarianceInferenceMethod, and CKLLowerTriangularInference.
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virtualinherited |
Updates the hash of current parameter combination
Definition at line 281 of file SGObject.cpp.
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protectedvirtual |
update train kernel matrix
Reimplemented from CInference.
Definition at line 153 of file SparseInference.cpp.
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inherited |
io
Definition at line 537 of file SGObject.h.
alpha vector used in process mean calculation
Definition at line 484 of file Inference.h.
the matrix used for multi classification
Definition at line 496 of file Inference.h.
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protectedinherited |
features to use
Definition at line 478 of file Inference.h.
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inherited |
parameters wrt which we can compute gradients
Definition at line 552 of file SGObject.h.
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protectedinherited |
Whether gradients are updated
Definition at line 499 of file Inference.h.
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inherited |
Hash of parameter values
Definition at line 555 of file SGObject.h.
inducing features for approximation
Definition at line 304 of file SparseInference.h.
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protectedinherited |
covariance function
Definition at line 469 of file Inference.h.
kernel matrix from features (non-scalled by inference scalling)
Definition at line 493 of file Inference.h.
diagonal elements of kernel matrix m_ktrtr
Definition at line 322 of file SparseInference.h.
covariance matrix of inducing features and training features
Definition at line 313 of file SparseInference.h.
covariance matrix of inducing features
Definition at line 310 of file SparseInference.h.
upper triangular factor of Cholesky decomposition
Definition at line 487 of file Inference.h.
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protectedinherited |
labels of features
Definition at line 481 of file Inference.h.
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protected |
noise of the inducing variables
Definition at line 307 of file SparseInference.h.
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protectedinherited |
kernel scale
Definition at line 490 of file Inference.h.
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protectedinherited |
mean function
Definition at line 472 of file Inference.h.
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protectedinherited |
minimizer
Definition at line 466 of file Inference.h.
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protectedinherited |
likelihood function to use
Definition at line 475 of file Inference.h.
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inherited |
model selection parameters
Definition at line 549 of file SGObject.h.
mean vector of the the posterior Gaussian distribution
Definition at line 319 of file SparseInference.h.
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inherited |
parameters
Definition at line 546 of file SGObject.h.
covariance matrix of the the posterior Gaussian distribution
Definition at line 316 of file SparseInference.h.
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inherited |
parallel
Definition at line 540 of file SGObject.h.
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inherited |
version
Definition at line 543 of file SGObject.h.