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Piecewise linear function

About: Piecewise linear function is a research topic. Over the lifetime, 8133 publications have been published within this topic receiving 161444 citations.


Papers
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Journal ArticleDOI
TL;DR: Inferences on selection of self-organizing map (SOM) algorithm parameters for this problem domain have been derived after extensive experimentation and a better quality measure to evaluate and compare various runs of SOM for the domain of curve and surface reconstruction has been presented.

46 citations

Journal ArticleDOI
TL;DR: This paper proves convergence for a particular version of an algorithm that produces approximations from stochastic gradient information while maintaining concavity.

46 citations

Journal ArticleDOI
01 Jul 1965-Topology
TL;DR: In this article, it was shown that a polyhedral polyhedron X is said to be unknotted in another polyhedral sphere Y if any two piecewise linear embeddings of X and Y that are homotopic are also ambient isotopic; this means that one embedding can be carried to the other by a piece wise linear isotopy of Y.

46 citations

Journal ArticleDOI
TL;DR: In this article, a stochastic approach for obtaining reliable estimates of the peak response of nonlinear systems to excitations specified via a design seismic spectrum is proposed, which is achieved in an efficient manner without resorting to numerical integration of the governing nonlinear equations of motion.

46 citations

Journal ArticleDOI
TL;DR: In this article, a 3D VOSET method was proposed to simulate a liquid dam break problem and a single-bubble rising problem, which combines both advantages of the VOF and level set.

46 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023179
2022377
2021312
2020353
2019329
2018297