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Piecewise Linear Function Fitting via Mixed-Integer Linear Programming

INFORMS Journal on Computing, 2020
Piecewise linear (PWL) functions are used in a variety of applications. Computing such continuous PWL functions, however, is a challenging task. Software packages and the literature on PWL function fitting are dominated by heuristic methods. This is true
Steffen Rebennack, V. Krasko
semanticscholar   +3 more sources

Representing piecewise linear functions by functions with small arity

Applicable Algebra in Engineering, Communication and Computing, 2023
A piecewise linear function can be described in different forms: as a nested expression of min\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
C. Koutschan, Bernhard Moser, A. Ponomarchuk, J. Schicho   +3 more
semanticscholar   +4 more sources

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Approximating Points by a Piecewise Linear Function

Algorithmica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Chen, Haitao Wang
semanticscholar   +4 more sources

Canonical representation: from piecewise-linear function to piecewise-smooth functions

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1993
Summary: The canonical representation of piecewise-linear (PWL) functions provides a global compact formulation of continuous PWL functions, which has significant advantages in the research and applications concerning nonlinear systems. This paper studies the generalization of the canonical representation from PWL functions to piecewise-smooth (PWS ...
J.-N. Lin, R. Unbehauen
semanticscholar   +2 more sources

A Comparison of Two Mixed-Integer Linear Programs for Piecewise Linear Function Fitting

INFORMS journal on computing, 2021
The problem of fitting continuous piecewise linear (PWL) functions to discrete data has applications in pattern recognition and engineering, amongst many other fields.
J. A. Warwicker, Steffen Rebennack
semanticscholar   +1 more source

Piecewise Linear Function

, 2010
Matemática
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A Piecewise Linear Regression and Classification Algorithm With Application to Learning and Model Predictive Control of Hybrid Systems

IEEE Transactions on Automatic Control, 2023
This article proposes an algorithm for solving multivariate regression and classification problems using piecewise linear predictors over a polyhedral partition of the feature space.
A. Bemporad
semanticscholar   +1 more source

Piecewise-Linear Simplification for Adaptive Synaptic Neuron Model

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2022
Adaptive synaptic neuron model involves complex activation functions. These nonlinearities lead to complicated hardware implementations, which greatly hinder neuron-based applications.
Quan Xu, Shoukui Ding, H. Bao, Mo Chen, B. Bao   +4 more
semanticscholar   +1 more source