Reproducing kernel hilbert space methods for cad tools

Chumachenko, S. V.; Khawar, Parvez; Gowher, Malik

Публікація:
Reproducing kernel hilbert space methods for cad tools

dc.contributor.author	Chumachenko, S. V.
dc.contributor.author	Khawar, Parvez
dc.contributor.author	Gowher, Malik
dc.date.accessioned	2016-09-02T11:58:40Z
dc.date.available	2016-09-02T11:58:40Z
dc.date.issued	2004
dc.description.abstract	The review of known RKHS-methods for analysis of current state in science investigations is represented. The place of Series Summation Method in Reproducing Kernel Hilbert Space (RKHS) is determined. The new results obtained by this method are discussed. Reproducing Kernel Hilbert Space (RKHS) methods are interesting both pure theoretically and applied. RKHS theory has been a well studied topic, stemming from the original works of [1] to more recent studies on their application by [2, 3, 8-11]. Mathematical models based on RKHS and causal operators are presented in [3]. They are used at Pattern Recognition [4], Digital Data Processing [5], Image Compression [6], Computer Graphics [7]. Mentioned directions are described by mathematical tool – theory of wavelets [4]. RKHS methods are base tool in exact incremental learning [8], in statistical learning theory [2, 9]. The general theory of reproducing kernels which is combined with linear mappings in the framework of Hilbert spaces is considered in [2]. A framework for discussing the generalization ability of a trained network in the original function space using tools of functional analysis based on RKHS is introduced in [8]. Special kind of kernel based approximation scheme is also closely linked to regularization theory [10] and Support Vector Machines based approximation schemes [11] (Fig.).	uk_UA
dc.identifier.citation	Chumachenko S.V. reproducing kernel hilbert space methods for cad tools/Chumachenko S.V., Khawar Parvez, Gowher Malik //Proceedings of East-West Design & Test Workshop (EWDTW’04)	uk_UA
dc.identifier.uri	http://openarchive.nure.ua/handle/document/2021
dc.language.iso	en	uk_UA
dc.publisher	EWDTW	uk_UA
dc.subject	Reproducing Kernel Hilbert Space	uk_UA
dc.subject	RKHS	uk_UA
dc.subject	RKHS-methods	uk_UA
dc.subject	Series Summation Method	uk_UA
dc.title	Reproducing kernel hilbert space methods for cad tools	uk_UA
dc.type	Article	uk_UA
dspace.entity.type	Publication