Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285355715> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4285355715 endingPage "360" @default.
- W4285355715 startingPage "351" @default.
- W4285355715 abstract "We consider random fields that are tensor degrees of a random process of second order with a continuous covariance function. The average case approximation complexity of a random field is defined as the minimal number of evaluations of linear functionals needed to approximate the field with a relative twofold average error not exceeding a given threshold. In the present paper, we estimate the growth of average case approximation complexity of random field for an arbitrarily high parametric dimension and for an arbitrarily small error threshold. Using rather weak assumptions concerning the spectrum of covariance operator of the generating random process, we obtain the necessary and sufficient condition that the average case approximation complexity has an upper estimate of special form. We show that this condition covers a wide class of cases and the order of the estimate of the average case approximation complexity coincides with the order of its asymptotic representation obtained by Lifshits and Tulyakova earlier." @default.
- W4285355715 created "2022-07-14" @default.
- W4285355715 creator A5010468388 @default.
- W4285355715 creator A5013987063 @default.
- W4285355715 date "2021-10-01" @default.
- W4285355715 modified "2023-10-16" @default.
- W4285355715 title "An Estimate of Average Case Approximation Complexity for Tensor Degrees of Random Processes" @default.
- W4285355715 cites W1532991179 @default.
- W4285355715 cites W1598589417 @default.
- W4285355715 cites W1820164671 @default.
- W4285355715 cites W1975619336 @default.
- W4285355715 cites W2048357906 @default.
- W4285355715 cites W2147767812 @default.
- W4285355715 cites W3122216272 @default.
- W4285355715 doi "https://doi.org/10.1134/s1063454121040087" @default.
- W4285355715 hasPublicationYear "2021" @default.
- W4285355715 type Work @default.
- W4285355715 citedByCount "0" @default.
- W4285355715 crossrefType "journal-article" @default.
- W4285355715 hasAuthorship W4285355715A5010468388 @default.
- W4285355715 hasAuthorship W4285355715A5013987063 @default.
- W4285355715 hasBestOaLocation W42853557152 @default.
- W4285355715 hasConcept C103692563 @default.
- W4285355715 hasConcept C105795698 @default.
- W4285355715 hasConcept C117251300 @default.
- W4285355715 hasConcept C122383733 @default.
- W4285355715 hasConcept C130402806 @default.
- W4285355715 hasConcept C137250428 @default.
- W4285355715 hasConcept C13929819 @default.
- W4285355715 hasConcept C155281189 @default.
- W4285355715 hasConcept C178650346 @default.
- W4285355715 hasConcept C202444582 @default.
- W4285355715 hasConcept C28826006 @default.
- W4285355715 hasConcept C33923547 @default.
- W4285355715 hasConceptScore W4285355715C103692563 @default.
- W4285355715 hasConceptScore W4285355715C105795698 @default.
- W4285355715 hasConceptScore W4285355715C117251300 @default.
- W4285355715 hasConceptScore W4285355715C122383733 @default.
- W4285355715 hasConceptScore W4285355715C130402806 @default.
- W4285355715 hasConceptScore W4285355715C137250428 @default.
- W4285355715 hasConceptScore W4285355715C13929819 @default.
- W4285355715 hasConceptScore W4285355715C155281189 @default.
- W4285355715 hasConceptScore W4285355715C178650346 @default.
- W4285355715 hasConceptScore W4285355715C202444582 @default.
- W4285355715 hasConceptScore W4285355715C28826006 @default.
- W4285355715 hasConceptScore W4285355715C33923547 @default.
- W4285355715 hasIssue "4" @default.
- W4285355715 hasLocation W42853557151 @default.
- W4285355715 hasLocation W42853557152 @default.
- W4285355715 hasOpenAccess W4285355715 @default.
- W4285355715 hasPrimaryLocation W42853557151 @default.
- W4285355715 hasRelatedWork W2039299898 @default.
- W4285355715 hasRelatedWork W2045308175 @default.
- W4285355715 hasRelatedWork W2100959405 @default.
- W4285355715 hasRelatedWork W2963701995 @default.
- W4285355715 hasRelatedWork W3159965285 @default.
- W4285355715 hasRelatedWork W4200631844 @default.
- W4285355715 hasRelatedWork W4213043269 @default.
- W4285355715 hasRelatedWork W4213111928 @default.
- W4285355715 hasRelatedWork W4226268602 @default.
- W4285355715 hasRelatedWork W4298346347 @default.
- W4285355715 hasVolume "54" @default.
- W4285355715 isParatext "false" @default.
- W4285355715 isRetracted "false" @default.
- W4285355715 workType "article" @default.