SurrogateModel.hpp File Reference

Smooth surrogate functions (softmax, softmin, softplus, sigmoid, blend, KS aggregation). More...

#include "janus/core/JanusConcepts.hpp"
#include "janus/core/JanusError.hpp"
#include "janus/math/Arithmetic.hpp"
#include "janus/math/Logic.hpp"
#include "janus/math/Trig.hpp"
#include <Eigen/Dense>
#include <cmath>
#include <numeric>
#include <string>
#include <vector>

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Namespaces
namespace	janus
namespace	janus::detail
	Smooth approximation of ReLU function: softplus(x) = (1/beta) * log(1 + exp(beta * x)).

Enumerations
enum class	janus::SigmoidType { janus::Tanh , janus::Logistic , janus::Arctan , janus::Polynomial }
	Sigmoid shape selection. More...

Functions
template<typename T>
auto	janus::softmax (const std::vector< T > &args, double softness=1.0)
	Computes the smooth maximum (LogSumExp) of a collection of values.
template<typename T1, typename T2>
auto	janus::softmax (const T1 &a, const T2 &b, double softness=1.0)
template<typename T>
auto	janus::softmin (const std::vector< T > &args, double softness=1.0)
	Computes the smooth minimum of a collection of values. softmin(x) = -softmax(-x).
template<typename T1, typename T2>
auto	janus::softmin (const T1 &a, const T2 &b, double softness=1.0)
void	janus::detail::validate_hardness (double hardness, const char *function_name)
void	janus::detail::validate_rho (double rho)
template<std::floating_point T>
auto	janus::detail::softplus_scalar (const T &x, double beta)
auto	janus::detail::softplus_scalar (const SymbolicScalar &x, double beta)
template<JanusScalar T>
auto	janus::softplus (const T &x, double beta=1.0, double=20.0)
template<typename Derived>
auto	janus::softplus (const Eigen::MatrixBase< Derived > &x, double beta=1.0, double threshold=20.0)
template<typename T>
auto	janus::smooth_abs (const T &x, double hardness=1.0)
	Smooth approximation of absolute value.
template<typename T1, typename T2>
auto	janus::smooth_max (const T1 &a, const T2 &b, double hardness=1.0)
	Pairwise smooth maximum.
template<typename T1, typename T2>
auto	janus::smooth_min (const T1 &a, const T2 &b, double hardness=1.0)
	Pairwise smooth minimum.
template<typename TX, typename TLow, typename THigh>
auto	janus::smooth_clamp (const TX &x, const TLow &low, const THigh &high, double hardness=1.0)
	Smooth approximation of clamp(x, low, high).
template<JanusScalar T>
auto	janus::ks_max (const std::vector< T > &values, double rho=1.0)
	Kreisselmeier-Steinhauser smooth maximum aggregator.
template<typename Derived>
auto	janus::ks_max (const Eigen::MatrixBase< Derived > &values, double rho=1.0)
template<typename T>
auto	janus::sigmoid (const T &x, SigmoidType type=SigmoidType::Tanh, double norm_min=0.0, double norm_max=1.0)
	Sigmoid function with normalization capability.
template<typename T>
auto	janus::swish (const T &x, double beta=1.0)
	Swish activation function: x / (1 + exp(-beta * x)).
template<typename TSwitch, typename THigh, typename TLow>
auto	janus::blend (const TSwitch &switch_val, const THigh &val_high, const TLow &val_low)
	Smoothly blends between two values based on a switch parameter.

Detailed Description

Smooth surrogate functions (softmax, softmin, softplus, sigmoid, blend, KS aggregation).

See also

Logic.hpp, Arithmetic.hpp