Max-min representation of piecewise linear functions
From MaRDI portal
Publication:1610981
zbMath0996.26007arXivmath/0009026MaRDI QIDQ1610981
Publication date: 20 August 2002
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0009026
polyhedral complexesmin-max representationpiecewise linear functions on convex domains in Euclidean \(n\)-space
Related Items (34)
Locally piecewise affine functions and their order structure ⋮ On a tropical version of the Jacobian conjecture ⋮ Riesz estimators ⋮ Irredundant lattice representations of continuous piecewise affine functions ⋮ Modeling and Learning of Hierarchical Decision Models: The Case of the Choquet Integral ⋮ Explanation with the Winter value: efficient computation for hierarchical Choquet integrals ⋮ Unnamed Item ⋮ Algorithm for Searching an Equilibrium in a Routing Game with Piecewise Constant Cost Functions ⋮ Positively homogeneous functions revisited ⋮ Generic uniqueness of the bias vector of finite zero-sum stochastic games with perfect information ⋮ On optimization of stochastic max-min-plus-scaling systems -- an approximation approach ⋮ Tropical Newton-Puiseux polynomials. II ⋮ Nonlocal error bounds for piecewise affine functions ⋮ Łukasiewicz logic and Riesz spaces. ⋮ Aggregation functions: means ⋮ An anytime algorithm for constrained stochastic shortest path problems with deterministic policies ⋮ MorphoActivation: generalizing ReLU activation function by mathematical morphology ⋮ Tropical combinatorial Nullstellensatz and sparse polynomials ⋮ Notes on divisible MV-algebras ⋮ Computing exact solutions of consensus halving and the Borsuk-Ulam theorem ⋮ On the pervasiveness of difference-convexity in optimization and statistics ⋮ MIN and MAX operators for trapezoidal fuzzy intervals ⋮ The tropical analogue of the Helton-Nie conjecture is true ⋮ Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs ⋮ Discrete piecewise linear functions ⋮ A canonical form for the continuous piecewise polynomial functions ⋮ MPC for continuous piecewise-affine systems ⋮ Piecewise convexity of artificial neural networks ⋮ An algorithm for solving two-sided interval system of max-plus linear equations ⋮ On finitely generated vector sublattices ⋮ Some open questions on morphological operators and representations in the deep learning era. A personal vision ⋮ Computing Exact Solutions of Consensus Halving and the Borsuk-Ulam Theorem ⋮ Unnamed Item ⋮ Explanation with the winter value: efficient computation for hierarchical Choquet integrals
This page was built for publication: Max-min representation of piecewise linear functions