/** * @file KernelRBF.cpp * @brief Interface for the popular exponential mercer kernels * @author Erik Rodner * @date 10/24/2007 */ #include #include #include "KernelRBF.h" using namespace OBJREC; using namespace std; using namespace NICE; KernelRBF::KernelRBF( double loggamma, double _noise ) { gammasq = exp(2*loggamma); noise = _noise; } KernelRBF::KernelRBF ( const KernelRBF & src ) { gammasq = src.gammasq; noise = src.noise; } KernelRBF::~KernelRBF() { } KernelRBF *KernelRBF::clone(void) const { return new KernelRBF ( *this ); } double KernelRBF::K (const NICE::Vector & x, const NICE::Vector & y) const { if ( x.size() != y.size() ) { cerr << "KernelRBF: dimensions: " << x.size() << " vs " << y.size() << endl; fthrow(Exception, "Vector dimensions do not match!"); } double dist = 0.0; for ( size_t i = 0 ; i < x.size() ; i++ ) { double d = x[i] - y[i]; dist += d*d; } return exp( - dist / gammasq ); } void KernelRBF::updateKernelData ( KernelData *kernelData ) const { const NICE::Matrix & quadraticDistances = kernelData->getCachedMatrix ( KernelData::QUADRATIC_DISTANCES ); NICE::Matrix & kernelMatrix = kernelData->getKernelMatrix(); kernelMatrix.resize ( quadraticDistances.rows(), quadraticDistances.cols() ); for ( size_t i = 0 ; i < kernelMatrix.rows(); i++ ) for ( size_t j = 0 ; j < kernelMatrix.cols(); j++ ) { double dist = quadraticDistances(i,j); kernelMatrix(i,j) = exp ( - dist / gammasq ); } kernelMatrix.addIdentity ( noise ); } void KernelRBF::calcKernelData ( const VVector & X, KernelData *kernelData ) const { CachedQuadraticDistances::calcKernelData ( X, kernelData ); if ( noise != 0.0 ) { cerr << "KernelRBF: adding some noise" << endl; kernelData->getKernelMatrix().addIdentity(noise); } } void KernelRBF::getKernelJacobi ( size_t parameter, const NICE::Vector & parameters, const KernelData *kernelData, NICE::Matrix & jacobiMatrix ) const { // double _gammasq = exp(2*parameters[0]); const NICE::Matrix & kernelMatrix = kernelData->getKernelMatrix(); jacobiMatrix.resize ( kernelMatrix.rows(), kernelMatrix.cols() ); if ( parameter == 0 ) { for ( size_t i = 0 ; i < kernelMatrix.rows(); i++ ) for ( size_t j = 0 ; j < kernelMatrix.cols(); j++ ) { double K = kernelMatrix(i,j); if ( almostZero(K) ) jacobiMatrix(i,j) = 0.0; else jacobiMatrix(i,j) = - K * 2.0 * log (K); } } else{ fthrow(Exception, "Wrong parameter index!"); } } void KernelRBF::setParameters( const NICE::Vector & newParameters ) { gammasq = exp(2*newParameters[0]); } void KernelRBF::getParameters( NICE::Vector & newParameters ) const { newParameters.resize(1); newParameters[0] = 0.5 * log(gammasq); }