xgboost/src/common/probability_distribution.h
Jiaming Yuan 0012f2ef93
Upgrade clang-tidy on CI. (#5469)
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* Upgrade clang-tidy to 10 on CI.

Co-authored-by: Hyunsu Cho <chohyu01@cs.washington.edu>
2020-04-05 04:42:29 +08:00

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/*!
* Copyright 2020 by Contributors
* \file probability_distribution.h
* \brief Implementation of a few useful probability distributions
* \author Avinash Barnwal and Hyunsu Cho
*/
#ifndef XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_
#define XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_
namespace xgboost {
namespace common {
namespace probability_constant {
/*! \brief Constant PI */
const double kPI = 3.14159265358979323846;
/*! \brief The Euler-Mascheroni_constant */
const double kEulerMascheroni = 0.57721566490153286060651209008240243104215933593992;
} // namespace probability_constant
/*! \brief Enum encoding possible choices of probability distribution */
enum class ProbabilityDistributionType : int {
kNormal = 0, kLogistic = 1, kExtreme = 2
};
/*! \brief Interface for a probability distribution */
class ProbabilityDistribution {
public:
/*!
* \brief Evaluate Probability Density Function (PDF) at a particular point
* \param z point at which to evaluate PDF
* \return Value of PDF evaluated
*/
virtual double PDF(double z) = 0;
/*!
* \brief Evaluate Cumulative Distribution Function (CDF) at a particular point
* \param z point at which to evaluate CDF
* \return Value of CDF evaluated
*/
virtual double CDF(double z) = 0;
/*!
* \brief Evaluate first derivative of PDF at a particular point
* \param z point at which to evaluate first derivative of PDF
* \return Value of first derivative of PDF evaluated
*/
virtual double GradPDF(double z) = 0;
/*!
* \brief Evaluate second derivative of PDF at a particular point
* \param z point at which to evaluate second derivative of PDF
* \return Value of second derivative of PDF evaluated
*/
virtual double HessPDF(double z) = 0;
/*!
* \brief Factory function to instantiate a new probability distribution object
* \param dist kind of probability distribution
* \return Reference to the newly created probability distribution object
*/
static ProbabilityDistribution* Create(ProbabilityDistributionType dist);
virtual ~ProbabilityDistribution() = default;
};
/*! \brief The (standard) normal distribution */
class NormalDist : public ProbabilityDistribution {
public:
double PDF(double z) override;
double CDF(double z) override;
double GradPDF(double z) override;
double HessPDF(double z) override;
};
/*! \brief The (standard) logistic distribution */
class LogisticDist : public ProbabilityDistribution {
public:
double PDF(double z) override;
double CDF(double z) override;
double GradPDF(double z) override;
double HessPDF(double z) override;
};
/*! \brief The extreme distribution, also known as the Gumbel (minimum) distribution */
class ExtremeDist : public ProbabilityDistribution {
public:
double PDF(double z) override;
double CDF(double z) override;
double GradPDF(double z) override;
double HessPDF(double z) override;
};
} // namespace common
} // namespace xgboost
#endif // XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_