NICE_VisLearning/classifier/kernelclassifier/LHCumulativeGauss.h

/** 
* @file LHCumulativeGauss.h
* @author Erik Rodner
* @date 02/17/2010

*/
#ifndef _NICE_OBJREC_LHCUMULATIVEGAUSSINCLUDE
#define _NICE_OBJREC_LHCUMULATIVEGAUSSINCLUDE

#include "LikelihoodFunction.h"

namespace OBJREC {
  
/** @class LHCumulativeGauss
 * cumulative gauss function 
 *
 * @author Erik Rodner
 */
class LHCumulativeGauss : public LikelihoodFunction
{

    protected:
		double lengthScale;
		double bias;

    public:

		/** a length scale of the likelihood function correspondes
		 * to a an inverse scaling of the gp prior, thus you
		 * could optimize this parameter by optimizing a hyperparameter
		 * of the kernel function */
		LHCumulativeGauss( double lengthScale = 1.0, double bias = 0.0 );
 
 		/** needed for hyperparameter estimation */
		double thirdgrad ( double y, double f ) const;
		double hessian ( double y, double f ) const;
		double gradient ( double y, double f ) const;
		double logLike ( double y, double f ) const;
		double likelihood ( double y, double f ) const;

		double predictAnalytically ( double fmean, double fvariance ) const;
		
		static double stdNormPDF (double x);
};

}

#endif