Add Accelerated Failure Time loss for survival analysis task (#4763)
* [WIP] Add lower and upper bounds on the label for survival analysis * Update test MetaInfo.SaveLoadBinary to account for extra two fields * Don't clear qids_ for version 2 of MetaInfo * Add SetInfo() and GetInfo() method for lower and upper bounds * changes to aft * Add parameter class for AFT; use enum's to represent distribution and event type * Add AFT metric * changes to neg grad to grad * changes to binomial loss * changes to overflow * changes to eps * changes to code refactoring * changes to code refactoring * changes to code refactoring * Re-factor survival analysis * Remove aft namespace * Move function bodies out of AFTNormal and AFTLogistic, to reduce clutter * Move function bodies out of AFTLoss, to reduce clutter * Use smart pointer to store AFTDistribution and AFTLoss * Rename AFTNoiseDistribution enum to AFTDistributionType for clarity The enum class was not a distribution itself but a distribution type * Add AFTDistribution::Create() method for convenience * changes to extreme distribution * changes to extreme distribution * changes to extreme * changes to extreme distribution * changes to left censored * deleted cout * changes to x,mu and sd and code refactoring * changes to print * changes to hessian formula in censored and uncensored * changes to variable names and pow * changes to Logistic Pdf * changes to parameter * Expose lower and upper bound labels to R package * Use example weights; normalize log likelihood metric * changes to CHECK * changes to logistic hessian to standard formula * changes to logistic formula * Comply with coding style guideline * Revert back Rabit submodule * Revert dmlc-core submodule * Comply with coding style guideline (clang-tidy) * Fix an error in AFTLoss::Gradient() * Add missing files to amalgamation * Address @RAMitchell's comment: minimize future change in MetaInfo interface * Fix lint * Fix compilation error on 32-bit target, when size_t == bst_uint * Allocate sufficient memory to hold extra label info * Use OpenMP to speed up * Fix compilation on Windows * Address reviewer's feedback * Add unit tests for probability distributions * Make Metric subclass of Configurable * Address reviewer's feedback: Configure() AFT metric * Add a dummy test for AFT metric configuration * Complete AFT configuration test; remove debugging print * Rename AFT parameters * Clarify test comment * Add a dummy test for AFT loss for uncensored case * Fix a bug in AFT loss for uncensored labels * Complete unit test for AFT loss metric * Simplify unit tests for AFT metric * Add unit test to verify aggregate output from AFT metric * Use EXPECT_* instead of ASSERT_*, so that we run all unit tests * Use aft_loss_param when serializing AFTObj This is to be consistent with AFT metric * Add unit tests for AFT Objective * Fix OpenMP bug; clarify semantics for shared variables used in OpenMP loops * Add comments * Remove AFT prefix from probability distribution; put probability distribution in separate source file * Add comments * Define kPI and kEulerMascheroni in probability_distribution.h * Add probability_distribution.cc to amalgamation * Remove unnecessary diff * Address reviewer's feedback: define variables where they're used * Eliminate all INFs and NANs from AFT loss and gradient * Add demo * Add tutorial * Fix lint * Use 'survival:aft' to be consistent with 'survival:cox' * Move sample data to demo/data * Add visual demo with 1D toy data * Add Python tests Co-authored-by: Philip Cho <chohyu01@cs.washington.edu>
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src/common/probability_distribution.h
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src/common/probability_distribution.h
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/*!
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* Copyright 2020 by Contributors
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* \file probability_distribution.h
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* \brief Implementation of a few useful probability distributions
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* \author Avinash Barnwal and Hyunsu Cho
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*/
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#ifndef XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_
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#define XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_
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namespace xgboost {
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namespace common {
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namespace probability_constant {
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/*! \brief Constant PI */
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const double kPI = 3.14159265358979323846;
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/*! \brief The Euler-Mascheroni_constant */
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const double kEulerMascheroni = 0.57721566490153286060651209008240243104215933593992;
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} // namespace probability_constant
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/*! \brief Enum encoding possible choices of probability distribution */
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enum class ProbabilityDistributionType : int {
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kNormal = 0, kLogistic = 1, kExtreme = 2
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};
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/*! \brief Interface for a probability distribution */
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class ProbabilityDistribution {
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public:
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/*!
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* \brief Evaluate Probability Density Function (PDF) at a particular point
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* \param z point at which to evaluate PDF
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* \return Value of PDF evaluated
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*/
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virtual double PDF(double z) = 0;
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/*!
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* \brief Evaluate Cumulative Distribution Function (CDF) at a particular point
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* \param z point at which to evaluate CDF
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* \return Value of CDF evaluated
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*/
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virtual double CDF(double z) = 0;
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/*!
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* \brief Evaluate first derivative of PDF at a particular point
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* \param z point at which to evaluate first derivative of PDF
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* \return Value of first derivative of PDF evaluated
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*/
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virtual double GradPDF(double z) = 0;
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/*!
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* \brief Evaluate second derivative of PDF at a particular point
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* \param z point at which to evaluate second derivative of PDF
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* \return Value of second derivative of PDF evaluated
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*/
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virtual double HessPDF(double z) = 0;
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/*!
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* \brief Factory function to instantiate a new probability distribution object
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* \param dist kind of probability distribution
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* \return Reference to the newly created probability distribution object
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*/
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static ProbabilityDistribution* Create(ProbabilityDistributionType dist);
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};
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/*! \brief The (standard) normal distribution */
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class NormalDist : public ProbabilityDistribution {
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public:
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double PDF(double z) override;
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double CDF(double z) override;
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double GradPDF(double z) override;
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double HessPDF(double z) override;
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};
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/*! \brief The (standard) logistic distribution */
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class LogisticDist : public ProbabilityDistribution {
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public:
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double PDF(double z) override;
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double CDF(double z) override;
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double GradPDF(double z) override;
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double HessPDF(double z) override;
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};
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/*! \brief The extreme distribution, also known as the Gumbel (minimum) distribution */
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class ExtremeDist : public ProbabilityDistribution {
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public:
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double PDF(double z) override;
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double CDF(double z) override;
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double GradPDF(double z) override;
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double HessPDF(double z) override;
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};
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} // namespace common
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} // namespace xgboost
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#endif // XGBOOST_COMMON_PROBABILITY_DISTRIBUTION_H_
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