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The Behavior of LWPR Method on Approximation of Multivariable Functions

Result description

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 seriousproblems 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

LWPRlocally weighted learning

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Behavior of LWPR Method on Approximation of Multivariable Functions

  • Original language description

    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 seriousproblems 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 name

    Chování metody LWPR při aproximaci funkcí více proměnných

  • Czech description

    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 jedinýmvýstupem.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JD - Use of computers, robotics and its application

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

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

  • ISBN

    80-214-2942-9

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    105-109

  • Publisher name

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

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    May 26, 2005

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

CEP

JD - Use of computers, robotics and its application

Year of implementation

2005