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On some aspects of approximation of ridge functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10315055" target="_blank" >RIV/00216208:11320/15:10315055 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jat.2015.01.003" target="_blank" >http://dx.doi.org/10.1016/j.jat.2015.01.003</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jat.2015.01.003" target="_blank" >10.1016/j.jat.2015.01.003</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On some aspects of approximation of ridge functions

  • Original language description

    We present effective algorithms for uniform approximation of multivariate functions satisfying some prescribed inner structure. We extend, in several directions, the analysis of recovery of ridge functions f (x) = g (< a, x >) as performed earlier by oneof the authors and his coauthors. We consider ridge functions defined on the unit cube [-1, 1](d) as well as recovery of ridge functions defined on the unit ball from noisy measurements. We conclude with the study of functions of the type f (x) = g (parallel to a - x parallel to(2)(l2d)).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Approximation Theory

  • ISSN

    0021-9045

  • e-ISSN

  • Volume of the periodical

    194

  • Issue of the periodical within the volume

    June

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    27

  • Pages from-to

    35-61

  • UT code for WoS article

    000353083900004

  • EID of the result in the Scopus database

    2-s2.0-84923030666