This class represents the Minkowski error term. More...

#include <minkowski_error.h>

Inheritance diagram for MinkowskiError:

Public Member Functions
	MinkowskiError ()

	MinkowskiError (NeuralNetwork , DataSet )

virtual	~MinkowskiError ()

type	get_Minkowski_parameter () const
	Returns the Minkowski exponent value used to calculate the error. More...

void	set_default ()

void	set_Minkowski_parameter (const type &)

void	calculate_error (const DataSetBatch &batch, const NeuralNetworkForwardPropagation &forward_propagation, LossIndexBackPropagation &back_propagation) const
	MinkowskiError::calculate_error. More...

void	calculate_output_delta (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagation &) const

string	get_error_type () const
	Returns a string with the name of the Minkowski error loss type, "MINKOWSKI_ERROR". More...

string	get_error_type_text () const
	Returns a string with the name of the Minkowski error loss type in text format. More...

void	from_XML (const tinyxml2::XMLDocument &)

void	write_XML (tinyxml2::XMLPrinter &) const

Public Member Functions inherited from LossIndex
	LossIndex ()

	LossIndex (NeuralNetwork , DataSet )

virtual	~LossIndex ()
	Destructor. More...

NeuralNetwork *	get_neural_network_pointer () const
	Returns a pointer to the neural network object associated to the error term. More...

DataSet *	get_data_set_pointer () const
	Returns a pointer to the data set object associated to the error term. More...

const type &	get_regularization_weight () const
	Returns regularization weight. More...

const bool &	get_display () const

bool	has_neural_network () const

bool	has_data_set () const

RegularizationMethod	get_regularization_method () const
	Returns the regularization method. More...

void	set ()

void	set (NeuralNetwork *)

void	set (DataSet *)

void	set (NeuralNetwork , DataSet )

void	set (const LossIndex &)

void	set_threads_number (const int &)

void	set_neural_network_pointer (NeuralNetwork *)

virtual void	set_data_set_pointer (DataSet *)
	Sets a new data set on which the error term is to be measured. More...

void	set_default ()
	Sets the members of the error term to their default values: More...

void	set_regularization_method (const RegularizationMethod &)

void	set_regularization_method (const string &)

void	set_regularization_weight (const type &)

void	set_display (const bool &)

virtual void	set_normalization_coefficient ()

bool	has_selection () const
	Returns true if there are selection samples and false otherwise. More...

type	calculate_eta () const

type	calculate_h (const type &) const

Tensor< type, 1 >	calculate_gradient_numerical_differentiation ()

Tensor< type, 2 >	calculate_jacobian_numerical_differentiation ()

void	calculate_errors (const DataSetBatch &, const NeuralNetworkForwardPropagation &, LossIndexBackPropagation &) const

void	calculate_layers_delta (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagation &) const

void	calculate_error_gradient (const DataSetBatch &, const NeuralNetworkForwardPropagation &, LossIndexBackPropagation &) const

void	back_propagate (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagation &) const

void	calculate_errors_lm (const DataSetBatch &, const NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

virtual void	calculate_squared_errors_lm (const DataSetBatch &, const NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

virtual void	calculate_error_lm (const DataSetBatch &, const NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

virtual void	calculate_output_delta_lm (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

void	calculate_layers_delta_lm (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

virtual void	calculate_error_gradient_lm (const DataSetBatch &, LossIndexBackPropagationLM &) const

void	calculate_squared_errors_jacobian_lm (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

virtual void	calculate_error_hessian_lm (const DataSetBatch &, LossIndexBackPropagationLM &) const

void	back_propagate_lm (const DataSetBatch &, NeuralNetworkForwardPropagation &, LossIndexBackPropagationLM &) const

type	calculate_regularization (const Tensor< type, 1 > &) const

void	calculate_regularization_gradient (const Tensor< type, 1 > &, Tensor< type, 1 > &) const

void	calculate_regularization_hessian (const Tensor< type, 1 > &, Tensor< type, 2 > &) const

void	from_XML (const tinyxml2::XMLDocument &)

void	regularization_from_XML (const tinyxml2::XMLDocument &)

void	write_regularization_XML (tinyxml2::XMLPrinter &) const

string	write_regularization_method () const

void	check () const

Private Attributes
type	minkowski_parameter
	Minkowski exponent value. More...

Additional Inherited Members
Public Types inherited from LossIndex
enum class	RegularizationMethod { L1 , L2 , NoRegularization }
	Enumeration of available regularization methods. More...

Protected Attributes inherited from LossIndex
NonBlockingThreadPool *	non_blocking_thread_pool = nullptr

ThreadPoolDevice *	thread_pool_device = nullptr

NeuralNetwork *	neural_network_pointer = nullptr
	Pointer to a neural network object. More...

DataSet *	data_set_pointer = nullptr
	Pointer to a data set object. More...

RegularizationMethod	regularization_method = RegularizationMethod::L2
	Pointer to a regularization method object. More...

type	regularization_weight = static_cast<type>(0.01)
	Regularization weight value. More...

bool	display = true
	Display messages to screen. More...

const Eigen::array< IndexPair< Index >, 1 >	AT_B = {IndexPair<Index>(0, 0)}

const Eigen::array< IndexPair< Index >, 1 >	A_B = {IndexPair<Index>(1, 0)}

const Eigen::array< IndexPair< Index >, 2 >	SSE = {IndexPair<Index>(0, 0), IndexPair<Index>(1, 1)}

const Eigen::array< int, 1 >	rows_sum = {Eigen::array<int, 1>({1})}

Detailed Description

This class represents the Minkowski error term.

The Minkowski error measures the difference between the outputs of a neural network and the targets in a data set. This error term is used in data modeling problems. It can be more useful when the data set presents outliers.

Definition at line 36 of file minkowski_error.h.

Constructor & Destructor Documentation

◆ MinkowskiError() [1/2]

MinkowskiError ( )

explicit

Default constructor. It creates Minkowski error term not associated to any neural network and not measured on any data set. It also initializes all the rest of class members to their default values.

Definition at line 18 of file minkowski_error.cpp.

◆ MinkowskiError() [2/2]

MinkowskiError	(	NeuralNetwork *	new_neural_network_pointer,
		DataSet *	new_data_set_pointer
	)

explicit

Neural network and data set constructor. It creates a Minkowski error term object associated to a neural network and measured on a data set. It also initializes all the rest of class members to their default values.

Parameters

new_neural_network_pointer	Pointer to a neural network object.
new_data_set_pointer	Pointer to a data set object.

Definition at line 30 of file minkowski_error.cpp.

◆ ~MinkowskiError()

~MinkowskiError ( )

virtual

Destructor. It does not delete any pointer.

Definition at line 40 of file minkowski_error.cpp.

Member Function Documentation

◆ calculate_error()

void calculate_error	(	const DataSetBatch &	batch,
		const NeuralNetworkForwardPropagation &	forward_propagation,
		LossIndexBackPropagation &	back_propagation
	)		const

virtual

MinkowskiError::calculate_error.

Parameters

batch
forward_propagation
back_propagation

Todo:: Divide by number of samples.

Implements LossIndex.

Definition at line 98 of file minkowski_error.cpp.

◆ calculate_output_delta()

void calculate_output_delta	(	const DataSetBatch &	batch,
		NeuralNetworkForwardPropagation &	,
		LossIndexBackPropagation &	back_propagation
	)		const

virtual

Implements LossIndex.

Definition at line 113 of file minkowski_error.cpp.

◆ from_XML()

void from_XML ( const tinyxml2::XMLDocument & document )

Loads a Minkowski error object from a XML document.

Parameters

document TinyXML document containing the members of the object.

Definition at line 261 of file minkowski_error.cpp.

◆ get_error_type()

string get_error_type ( ) const

virtual

Returns a string with the name of the Minkowski error loss type, "MINKOWSKI_ERROR".

Reimplemented from LossIndex.

Definition at line 216 of file minkowski_error.cpp.

◆ get_error_type_text()

string get_error_type_text ( ) const

virtual

Returns a string with the name of the Minkowski error loss type in text format.

Reimplemented from LossIndex.

Definition at line 224 of file minkowski_error.cpp.

◆ get_Minkowski_parameter()

type get_Minkowski_parameter ( ) const

Returns the Minkowski exponent value used to calculate the error.

Definition at line 47 of file minkowski_error.cpp.

◆ set_default()

void set_default ( )

Sets the default values to a Minkowski error object:

Minkowski parameter: 1.5.
Display: true.

Definition at line 59 of file minkowski_error.cpp.

◆ set_Minkowski_parameter()

void set_Minkowski_parameter ( const type & new_Minkowski_parameter )

Sets a new Minkowski exponent value to be used in order to calculate the error. The Minkowski R-value must be comprised between 1 and 2.

Parameters

new_Minkowski_parameter Minkowski exponent value.

Definition at line 71 of file minkowski_error.cpp.

◆ write_XML()

void write_XML ( tinyxml2::XMLPrinter & file_stream ) const

virtual

Serializes the cross entropy error object into a XML document of the TinyXML library without keep the DOM tree in memory. See the OpenNN manual for more information about the format of this document

Reimplemented from LossIndex.

Definition at line 233 of file minkowski_error.cpp.

Member Data Documentation

◆ minkowski_parameter

type minkowski_parameter

private

Minkowski exponent value.

Definition at line 84 of file minkowski_error.h.

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

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MinkowskiError() [1/2]

◆ MinkowskiError() [2/2]

◆ ~MinkowskiError()

Member Function Documentation

◆ calculate_error()

◆ calculate_output_delta()

◆ from_XML()

◆ get_error_type()

◆ get_error_type_text()

◆ get_Minkowski_parameter()

◆ set_default()

◆ set_Minkowski_parameter()

◆ write_XML()

Member Data Documentation

◆ minkowski_parameter