Direct Weight Optimization Applied to Discontinuous Functions

Anders Brun; Lennart Ljung; Hans Knutsson; Henrik Ohlsson; Jacob Roll; Mats Andersson

doi:10.1109/CDC.2008.4738761

Direct Weight Optimization Applied to Discontinuous Functions

Anders Brun
, Lennart Ljung
, Hans Knutsson
, Henrik Ohlsson
, Jacob Roll
, Mats Andersson

Publikation: Kapitel i bok/rapport/konferenshandling › Konferensartikel i proceedings › Peer review

Sammanfattning

The Direct Weight Optimization (DWO) approach is a nonparametric estimation approach that has appeared in recent years within the field of nonlinear system identification. In previous work, all function classes for which DWO has been studied have included only continuous functions. However, in many applications it would be desirable also to be able to handle discontinuous functions. Inspired by the bilateral filter method from image processing, such an extension of the DWO framework is proposed for the smoothing problem. Examples show that the properties of the new approach regarding the handling of discontinuities are similar to the bilateral filter, while at the same time DWO offers a greater flexibility with respect to different function classes handled.

Originalspråk	Engelska
Titel på värdpublikation	Proceedings of the 47th IEEE Conference on Decision and Control
Sidor	117-122
Antal sidor	6
DOI	https://doi.org/10.1109/CDC.2008.4738761
Status	Publicerad - 2008

Publikationsserier

Serie	IEEE Conference on Decision and Control
ISSN	0191-2216

Åtkomst av dokument

10.1109/CDC.2008.4738761

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title = "Direct Weight Optimization Applied to Discontinuous Functions",

abstract = "The Direct Weight Optimization (DWO) approach is a nonparametric estimation approach that has appeared in recent years within the field of nonlinear system identification. In previous work, all function classes for which DWO has been studied have included only continuous functions. However, in many applications it would be desirable also to be able to handle discontinuous functions. Inspired by the bilateral filter method from image processing, such an extension of the DWO framework is proposed for the smoothing problem. Examples show that the properties of the new approach regarding the handling of discontinuities are similar to the bilateral filter, while at the same time DWO offers a greater flexibility with respect to different function classes handled.",

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AB - The Direct Weight Optimization (DWO) approach is a nonparametric estimation approach that has appeared in recent years within the field of nonlinear system identification. In previous work, all function classes for which DWO has been studied have included only continuous functions. However, in many applications it would be desirable also to be able to handle discontinuous functions. Inspired by the bilateral filter method from image processing, such an extension of the DWO framework is proposed for the smoothing problem. Examples show that the properties of the new approach regarding the handling of discontinuities are similar to the bilateral filter, while at the same time DWO offers a greater flexibility with respect to different function classes handled.

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BT - Proceedings of the 47th IEEE Conference on Decision and Control

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