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math.COSep 3, 2000
73
citations (OpenAlex)
authors
  • Sergei Ovchinnikov
institutions
  • San Francisco State University
arXiv abstractPDF
paper

Max-Min Representation of Piecewise Linear Functions

arXiv:math/0009026

Abstract

It is shown that a piecewise linear function can be represented as a Max-Min polynomial of its linear components.

7 pages

Cited by in corpus (12)

  • Understanding Deep Neural Networks with Rectified Linear Units
  • Programming and Training Rate-Independent Chemical Reaction Networks
  • Rate-Independent Computation in Continuous Chemical Reaction Networks
  • Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs
  • Learning Deep ReLU Networks Is Fixed-Parameter Tractable
  • Geometrical and analytical characteristic properties of piecewise affine mappings
  • Tropical Geometry and Piecewise-Linear Approximation of Curves and Surfaces on Weighted Lattices
  • On the Pervasiveness of Difference-Convexity in Optimization and Statistics
  • SPINE: Soft Piecewise Interpretable Neural Equations
  • Tropical Newton-Puiseux polynomials
  • Graphical Conditions for Rate Independence in Chemical Reaction Networks
  • Tropical functions on a skeleton
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