A special kind of neural networks: continuous piecewise linear functions

Authors:
Xusheng Sun;Shuning Wang
Affiliations:
Department of Automation, Tsinghua University, Beijing, China;Department of Automation, Tsinghua University, Beijing, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

Citing 4
Cited 1

Region configurations for realizability of lattice Piecewise-Linear models

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On the hinge-finding algorithm for hingeing hyperplanes

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Generalization of hinging hyperplanes

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Canonical piecewise-linear networks

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Brief paper: Adaptive hinging hyperplanes and its applications in dynamic system identification

Automatica (Journal of IFAC)

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Abstract

Continuous piecewise linear functions play an import role in approximation, regression and classification, and the problem of their explicit representation is still an open problem. In this paper, we propose a new form of representation,thus it can be seen clearly that they are actually a special kind of neural networks. Then we improve a typical piecewise linear algorithm called hinging hyperplanes to solve the training problem. Simulation results show that the novel algorithm has a much better approximation effect than the previous algorithm.