Publication detail

The Behavior of LWPR Method on Approximation of Multivariable Functions

JANDORA, R.

Czech title

Chování metody LWPR při aproximaci funkcí více proměnných

English title

The Behavior of LWPR Method on Approximation of Multivariable Functions

Type

conference paper

Language

en

Original abstract

Locally Weighted Projection Regression is an incremental approximation method used in real-time control. It was developed to approximate functions with high-dimensional inputs. When used for problems with multivariable outputs, this algorithm has serious problems when trying to approximate such function. This is caused by simplifications used when creating the incremental version of the statistical method for the local linear model. These simplifications limit the usage of the LWPR method to functions with single-variable output.

Czech abstract

Locally Weighted Projection Regression je inkrementální aproximační metoda používaná při řízení v reálném čase. Byla vytvořena pro aproximaci funkcí se vstupy s velkým počtem rozměrů. Při použití na funkcích s výstupy o více rozměrech však má tento algoritmus závažné problémy se správnou aproximací. To je způsobeno zjednodušeními použitými při tvorbě inkrementální verze statistické metody použité pro stanovení lokálního lineárního modelu. Tato zjednodušení omezují použití metody LWPR na funkce s jediným výstupem.

English abstract

Locally Weighted Projection Regression is an incremental approximation method used in real-time control. It was developed to approximate functions with high-dimensional inputs. When used for problems with multivariable outputs, this algorithm has serious problems when trying to approximate such function. This is caused by simplifications used when creating the incremental version of the statistical method for the local linear model. These simplifications limit the usage of the LWPR method to functions with single-variable output.

Keywords in English

LWPR; locally weighted learning

RIV year

2005

Released

26.05.2005

Publisher

Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno

Location

Brno

ISBN

80-214-2942-9

Book

Honeywell EMI 2005 Proceedings of the International Interdisciplinary Student Competition and Conference

Edition number

1.

Pages from–to

105–109

Pages count

5

BIBTEX


@inproceedings{BUT17975,
  author="Radek {Jandora},
  title="The Behavior of LWPR Method on Approximation of Multivariable Functions",
  booktitle="Honeywell EMI 2005 Proceedings of the International Interdisciplinary Student Competition and Conference",
  year="2005",
  month="May",
  pages="105--109",
  publisher="Ing. Zdeněk Novotný, CSc., Ondráčkova 105, Brno",
  address="Brno",
  isbn="80-214-2942-9"
}