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	A novel compact piecewise-linear representation
	Wen, CT ; Wang, SN ; Zhang, H ; Khan, MJ
	2010-05-06 ; 2010-05-06
关键词	piecewise-linear compact representation basis function non-linear approximation Engineering, Electrical & Electronic
中文摘要	A new compact MAX representation for 2-D continuous piecewise-linear (PWL) functions is developed in this paper. The representation is promising since it can be easily generalized into higher dimensions. We also establish the explicit functional form of basis function and demonstrate that the proposed basis function is the elementary 'building block' from which a fully general 2-D PWL function can be constructed. In addition, we reveal the relationship of basis function with minimal degenerate intersection and Hinging Hyperplane, which shows that the MAX model can unify Chua's canonical expression, Li's representation, lattice PWL function and Bremann's Hinging Finding Algorithm into one common theoretical framework. Copyright (C) 2005 John Wiley Sons, Ltd.
语种	英语 ; 英语
出版者	JOHN WILEY & SONS LTD ; CHICHESTER ; THE ATRIUM, SOUTHERN GATE, CHICHESTER PO19 8SQ, W SUSSEX, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/9451]
专题	清华大学
推荐引用方式 GB/T 7714	Wen, CT,Wang, SN,Zhang, H,et al. A novel compact piecewise-linear representation[J],2010, 2010.
APA	Wen, CT,Wang, SN,Zhang, H,&Khan, MJ.(2010).A novel compact piecewise-linear representation..
MLA	Wen, CT,et al."A novel compact piecewise-linear representation".(2010).

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