A compact f-f model of high-dimensional piecewise-linear function over a degenerate intersection

A novel f-f model is developed constructively which can express any n-dimensional piecewise linear (PWL) function by a superposition of basis functions if it is defined over an nth-order degenerate intersection formed by (n-1)th-order minimal degenerate intersections. We also propose the concrete fu...

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Veröffentlicht in:IEEE transactions on circuits and systems. I, Regular papers Jg. 52; H. 4; S. 815 - 821
Hauptverfasser: Chengtao Wen, Shuning Wang, Feng Li, Khan, M.J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.04.2005
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Basis function
Bridge circuits
Circuit analysis
Concrete
cutting algorithm
Function approximation
lattice PWL model
Lattices
Modeling
Piecewise linear techniques
piecewise-linear (PWL) representation
Systems engineering and theory
Two dimensional displays
ISSN:1549-8328, 1558-0806
Online-Zugang:Volltext
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Zusammenfassung:A novel f-f model is developed constructively which can express any n-dimensional piecewise linear (PWL) function by a superposition of basis functions if it is defined over an nth-order degenerate intersection formed by (n-1)th-order minimal degenerate intersections. We also propose the concrete functional forms of nth-order basis functions. Being the simplest type of the minimal degenerate intersection, the basis function is the most elementary "building block" of a PWL function defined in an arbitrary-dimensional space. In addition, the model constitutes a natural continuation to Julian's canonical formulation and can bridge the lattice PWL model and the well-established canonical representation.
Bibliographie:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2005.844367