Support Vector Machines. More...

#include "ml.hpp"

Inheritance diagram for cv::ml::SVM:

Classes
class	Kernel

Public Types
enum	KernelTypes { CUSTOM =-1, LINEAR =0, POLY =1, RBF =2, SIGMOID =3, CHI2 =4, INTER =5 }
	SVM kernel type More...

enum	ParamTypes { C =0, GAMMA =1, P =2, NU =3, COEF =4, DEGREE =5 }
	SVM params type More...

enum	Types { C_SVC =100, NU_SVC =101, ONE_CLASS =102, EPS_SVR =103, NU_SVR =104 }
	SVM type More...

Public Types inherited from cv::ml::StatModel
enum	Flags { UPDATE_MODEL = 1, RAW_OUTPUT =1, COMPRESSED_INPUT =2, PREPROCESSED_INPUT =4 }

Public Member Functions
virtual double	getC () const =0

virtual cv::Mat	getClassWeights () const =0

virtual double	getCoef0 () const =0

virtual double	getDecisionFunction (int i, OutputArray alpha, OutputArray svidx) const =0
	Retrieves the decision function. More...

virtual double	getDegree () const =0

virtual double	getGamma () const =0

virtual int	getKernelType () const =0

virtual double	getNu () const =0

virtual double	getP () const =0

virtual Mat	getSupportVectors () const =0
	Retrieves all the support vectors. More...

virtual cv::TermCriteria	getTermCriteria () const =0

virtual int	getType () const =0

virtual void	setC (double val)=0

virtual void	setClassWeights (const cv::Mat &val)=0

virtual void	setCoef0 (double val)=0

virtual void	setCustomKernel (const Ptr< Kernel > &_kernel)=0

virtual void	setDegree (double val)=0

virtual void	setGamma (double val)=0

virtual void	setKernel (int kernelType)=0

virtual void	setNu (double val)=0

virtual void	setP (double val)=0

virtual void	setTermCriteria (const cv::TermCriteria &val)=0

virtual void	setType (int val)=0

virtual bool	trainAuto (const Ptr< TrainData > &data, int kFold=10, ParamGrid Cgrid=SVM::getDefaultGrid(SVM::C), ParamGrid gammaGrid=SVM::getDefaultGrid(SVM::GAMMA), ParamGrid pGrid=SVM::getDefaultGrid(SVM::P), ParamGrid nuGrid=SVM::getDefaultGrid(SVM::NU), ParamGrid coeffGrid=SVM::getDefaultGrid(SVM::COEF), ParamGrid degreeGrid=SVM::getDefaultGrid(SVM::DEGREE), bool balanced=false)=0
	Trains an SVM with optimal parameters. More...

Public Member Functions inherited from cv::ml::StatModel
virtual float	calcError (const Ptr< TrainData > &data, bool test, OutputArray resp) const
	Computes error on the training or test dataset. More...

virtual bool	empty () const
	Returns true if the Algorithm is empty (e.g. in the very beginning or after unsuccessful read. More...

virtual int	getVarCount () const =0
	Returns the number of variables in training samples. More...

virtual bool	isClassifier () const =0
	Returns true if the model is classifier. More...

virtual bool	isTrained () const =0
	Returns true if the model is trained. More...

virtual float	predict (InputArray samples, OutputArray results=noArray(), int flags=0) const =0
	Predicts response(s) for the provided sample(s) More...

virtual bool	train (const Ptr< TrainData > &trainData, int flags=0)
	Trains the statistical model. More...

virtual bool	train (InputArray samples, int layout, InputArray responses)
	Trains the statistical model. More...

Public Member Functions inherited from cv::Algorithm
	Algorithm ()

virtual	~Algorithm ()

virtual void	clear ()
	Clears the algorithm state. More...

virtual String	getDefaultName () const

virtual void	read (const FileNode &fn)
	Reads algorithm parameters from a file storage. More...

virtual void	save (const String &filename) const

virtual void	write (FileStorage &fs) const
	Stores algorithm parameters in a file storage. More...

Static Public Member Functions
static Ptr< SVM >	create ()

static ParamGrid	getDefaultGrid (int param_id)
	Generates a grid for SVM parameters. More...

Static Public Member Functions inherited from cv::ml::StatModel
template<typename _Tp >
static Ptr< _Tp >	train (const Ptr< TrainData > &data, int flags=0)
	Create and train model with default parameters. More...

Static Public Member Functions inherited from cv::Algorithm
template<typename _Tp >
static Ptr< _Tp >	load (const String &filename, const String &objname=String())
	Loads algorithm from the file. More...

template<typename _Tp >
static Ptr< _Tp >	loadFromString (const String &strModel, const String &objname=String())
	Loads algorithm from a String. More...

template<typename _Tp >
static Ptr< _Tp >	read (const FileNode &fn)
	Reads algorithm from the file node. More...

Detailed Description

Support Vector Machines.

See also: Support Vector Machines

Member Enumeration Documentation

enum cv::ml::SVM::KernelTypes

SVM kernel type

A comparison of different kernels on the following 2D test case with four classes. Four SVM::C_SVC SVMs have been trained (one against rest) with auto_train. Evaluation on three different kernels (SVM::CHI2, SVM::INTER, SVM::RBF). The color depicts the class with max score. Bright means max-score > 0, dark means max-score < 0.

image

Enumerator
CUSTOM	Returned by SVM::getKernelType in case when custom kernel has been set
LINEAR	Linear kernel. No mapping is done, linear discrimination (or regression) is done in the original feature space. It is the fastest option. \(K(x_i, x_j) = x_i^T x_j\).
POLY	Polynomial kernel: \(K(x_i, x_j) = (\gamma x_i^T x_j + coef0)^{degree}, \gamma > 0\).
RBF	Radial basis function (RBF), a good choice in most cases. \(K(x_i, x_j) = e^{-\gamma \|\|x_i - x_j\|\|^2}, \gamma > 0\).
SIGMOID	Sigmoid kernel: \(K(x_i, x_j) = \tanh(\gamma x_i^T x_j + coef0)\).
CHI2	Exponential Chi2 kernel, similar to the RBF kernel: \(K(x_i, x_j) = e^{-\gamma \chi^2(x_i,x_j)}, \chi^2(x_i,x_j) = (x_i-x_j)^2/(x_i+x_j), \gamma > 0\).
INTER	Histogram intersection kernel. A fast kernel. \(K(x_i, x_j) = min(x_i,x_j)\).

enum cv::ml::SVM::ParamTypes

SVM params type

Enumerator
C
GAMMA
P
NU
COEF
DEGREE

enum cv::ml::SVM::Types

SVM type

Enumerator
C_SVC	C-Support Vector Classification. n-class classification (n \(\geq\) 2), allows imperfect separation of classes with penalty multiplier C for outliers.
NU_SVC	\(\nu\)-Support Vector Classification. n-class classification with possible imperfect separation. Parameter \(\nu\) (in the range 0..1, the larger the value, the smoother the decision boundary) is used instead of C.
ONE_CLASS	Distribution Estimation (One-class SVM). All the training data are from the same class, SVM builds a boundary that separates the class from the rest of the feature space.
EPS_SVR	\(\epsilon\)-Support Vector Regression. The distance between feature vectors from the training set and the fitting hyper-plane must be less than p. For outliers the penalty multiplier C is used.
NU_SVR	\(\nu\)-Support Vector Regression. \(\nu\) is used instead of p. See [25] for details.

Member Function Documentation

static Ptr<SVM> cv::ml::SVM::create ( )

static

Creates empty model. Use StatModel::train to train the model. Since SVM has several parameters, you may want to find the best parameters for your problem, it can be done with SVM::trainAuto.

virtual double cv::ml::SVM::getC ( ) const

pure virtual

Parameter C of a SVM optimization problem. For SVM::C_SVC, SVM::EPS_SVR or SVM::NU_SVR. Default value is 0.

See also: setC

virtual cv::Mat cv::ml::SVM::getClassWeights ( ) const

pure virtual

Optional weights in the SVM::C_SVC problem, assigned to particular classes. They are multiplied by C so the parameter C of class i becomes classWeights(i) * C. Thus these weights affect the misclassification penalty for different classes. The larger weight, the larger penalty on misclassification of data from the corresponding class. Default value is empty Mat.

See also: setClassWeights

virtual double cv::ml::SVM::getCoef0 ( ) const

pure virtual

Parameter coef0 of a kernel function. For SVM::POLY or SVM::SIGMOID. Default value is 0.

See also: setCoef0

virtual double cv::ml::SVM::getDecisionFunction	(	int	i,
		OutputArray	alpha,
		OutputArray	svidx
	)		const

pure virtual

Retrieves the decision function.

Parameters

i	the index of the decision function. If the problem solved is regression, 1-class or 2-class classification, then there will be just one decision function and the index should always be 0. Otherwise, in the case of N-class classification, there will be \(N(N-1)/2\) decision functions.
alpha	the optional output vector for weights, corresponding to different support vectors. In the case of linear SVM all the alpha's will be 1's.
svidx	the optional output vector of indices of support vectors within the matrix of support vectors (which can be retrieved by SVM::getSupportVectors). In the case of linear SVM each decision function consists of a single "compressed" support vector.

The method returns rho parameter of the decision function, a scalar subtracted from the weighted sum of kernel responses.

static ParamGrid cv::ml::SVM::getDefaultGrid ( int param_id )

static

Generates a grid for SVM parameters.

Parameters

param_id SVM parameters IDs that must be one of the SVM::ParamTypes. The grid is generated for the parameter with this ID.

The function generates a grid for the specified parameter of the SVM algorithm. The grid may be passed to the function SVM::trainAuto.

virtual double cv::ml::SVM::getDegree ( ) const

pure virtual

Parameter degree of a kernel function. For SVM::POLY. Default value is 0.

See also: setDegree

virtual double cv::ml::SVM::getGamma ( ) const

pure virtual

Parameter \(\gamma\) of a kernel function. For SVM::POLY, SVM::RBF, SVM::SIGMOID or SVM::CHI2. Default value is 1.

See also: setGamma

virtual int cv::ml::SVM::getKernelType ( ) const

pure virtual

Type of a SVM kernel. See SVM::KernelTypes. Default value is SVM::RBF.

virtual double cv::ml::SVM::getNu ( ) const

pure virtual

Parameter \(\nu\) of a SVM optimization problem. For SVM::NU_SVC, SVM::ONE_CLASS or SVM::NU_SVR. Default value is 0.

See also: setNu

virtual double cv::ml::SVM::getP ( ) const

pure virtual

Parameter \(\epsilon\) of a SVM optimization problem. For SVM::EPS_SVR. Default value is 0.

See also: setP

virtual Mat cv::ml::SVM::getSupportVectors ( ) const

pure virtual

Retrieves all the support vectors.

The method returns all the support vector as floating-point matrix, where support vectors are stored as matrix rows.

virtual cv::TermCriteria cv::ml::SVM::getTermCriteria ( ) const

pure virtual

Termination criteria of the iterative SVM training procedure which solves a partial case of constrained quadratic optimization problem. You can specify tolerance and/or the maximum number of iterations. Default value is TermCriteria( TermCriteria::MAX_ITER + TermCriteria::EPS, 1000, FLT_EPSILON );

See also: setTermCriteria

virtual int cv::ml::SVM::getType ( ) const

pure virtual

Type of a SVM formulation. See SVM::Types. Default value is SVM::C_SVC.

See also: setType

virtual void cv::ml::SVM::setC ( double val )

pure virtual

See also: getC

virtual void cv::ml::SVM::setClassWeights ( const cv::Mat & val )

pure virtual

See also: getClassWeights

virtual void cv::ml::SVM::setCoef0 ( double val )

pure virtual

See also: getCoef0

virtual void cv::ml::SVM::setCustomKernel ( const Ptr< Kernel > & _kernel )

pure virtual

Initialize with custom kernel. See SVM::Kernel class for implementation details

virtual void cv::ml::SVM::setDegree ( double val )

pure virtual

See also: getDegree

virtual void cv::ml::SVM::setGamma ( double val )

pure virtual

See also: getGamma

virtual void cv::ml::SVM::setKernel ( int kernelType )

pure virtual

Initialize with one of predefined kernels. See SVM::KernelTypes.

virtual void cv::ml::SVM::setNu ( double val )

pure virtual

See also: getNu

virtual void cv::ml::SVM::setP ( double val )

pure virtual

See also: getP

virtual void cv::ml::SVM::setTermCriteria ( const cv::TermCriteria & val )

pure virtual

See also: getTermCriteria

virtual void cv::ml::SVM::setType ( int val )

pure virtual

See also: getType

virtual bool cv::ml::SVM::trainAuto	(	const Ptr< TrainData > &	data,
		int	kFold = `10`,
		ParamGrid	Cgrid = `SVM::getDefaultGrid(SVM::C)`,
		ParamGrid	gammaGrid = `SVM::getDefaultGrid(SVM::GAMMA)`,
		ParamGrid	pGrid = `SVM::getDefaultGrid(SVM::P)`,
		ParamGrid	nuGrid = `SVM::getDefaultGrid(SVM::NU)`,
		ParamGrid	coeffGrid = `SVM::getDefaultGrid(SVM::COEF)`,
		ParamGrid	degreeGrid = `SVM::getDefaultGrid(SVM::DEGREE)`,
		bool	balanced = `false`
	)

pure virtual

Trains an SVM with optimal parameters.

Parameters

data	the training data that can be constructed using TrainData::create or TrainData::loadFromCSV.
kFold	Cross-validation parameter. The training set is divided into kFold subsets. One subset is used to test the model, the others form the train set. So, the SVM algorithm is executed kFold times.
Cgrid	grid for C
gammaGrid	grid for gamma
pGrid	grid for p
nuGrid	grid for nu
coeffGrid	grid for coeff
degreeGrid	grid for degree
balanced	If true and the problem is 2-class classification then the method creates more balanced cross-validation subsets that is proportions between classes in subsets are close to such proportion in the whole train dataset.

The method trains the SVM model automatically by choosing the optimal parameters C, gamma, p, nu, coef0, degree. Parameters are considered optimal when the cross-validation estimate of the test set error is minimal.

If there is no need to optimize a parameter, the corresponding grid step should be set to any value less than or equal to 1. For example, to avoid optimization in gamma, set gammaGrid.step = 0, gammaGrid.minVal, gamma_grid.maxVal as arbitrary numbers. In this case, the value Gamma is taken for gamma.

And, finally, if the optimization in a parameter is required but the corresponding grid is unknown, you may call the function SVM::getDefaultGrid. To generate a grid, for example, for gamma, call SVM::getDefaultGrid(SVM::GAMMA).

This function works for the classification (SVM::C_SVC or SVM::NU_SVC) as well as for the regression (SVM::EPS_SVR or SVM::NU_SVR). If it is SVM::ONE_CLASS, no optimization is made and the usual SVM with parameters specified in params is executed.

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

ml/include/opencv2/ml.hpp

Classes

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Enumeration Documentation

Member Function Documentation