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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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