Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287662227> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4287662227 abstract "In this paper we study $L_2$-norm sampling discretization and sampling recovery of complex-valued functions in RKHS on $D subset R^d$ based on random function samples. We only assume the finite trace of the kernel (Hilbert-Schmidt embedding into $L_2$) and provide several concrete estimates with precise constants for the corresponding worst-case errors. In general, our analysis does not need any additional assumptions and also includes the case of non-Mercer kernels and also non-separable RKHS. The fail probability is controlled and decays polynomially in $n$, the number of samples. Under the mild additional assumption of separability we observe improved rates of convergence related to the decay of the singular values. Our main tool is a spectral norm concentration inequality for infinite complex random matrices with independent rows complementing earlier results by Rudelson, Mendelson, Pajor, Oliveira and Rauhut." @default.
- W4287662227 created "2022-07-25" @default.
- W4287662227 creator A5010819277 @default.
- W4287662227 creator A5073339260 @default.
- W4287662227 date "2020-09-24" @default.
- W4287662227 modified "2023-09-28" @default.
- W4287662227 title "$L_2$-norm sampling discretization and recovery of functions from RKHS with finite trace" @default.
- W4287662227 doi "https://doi.org/10.48550/arxiv.2009.11940" @default.
- W4287662227 hasPublicationYear "2020" @default.
- W4287662227 type Work @default.
- W4287662227 citedByCount "0" @default.
- W4287662227 crossrefType "posted-content" @default.
- W4287662227 hasAuthorship W4287662227A5010819277 @default.
- W4287662227 hasAuthorship W4287662227A5073339260 @default.
- W4287662227 hasBestOaLocation W42876622271 @default.
- W4287662227 hasConcept C119599485 @default.
- W4287662227 hasConcept C127162648 @default.
- W4287662227 hasConcept C127413603 @default.
- W4287662227 hasConcept C134306372 @default.
- W4287662227 hasConcept C138885662 @default.
- W4287662227 hasConcept C17744445 @default.
- W4287662227 hasConcept C191795146 @default.
- W4287662227 hasConcept C199539241 @default.
- W4287662227 hasConcept C202444582 @default.
- W4287662227 hasConcept C28826006 @default.
- W4287662227 hasConcept C33923547 @default.
- W4287662227 hasConcept C41895202 @default.
- W4287662227 hasConcept C57869625 @default.
- W4287662227 hasConcept C62799726 @default.
- W4287662227 hasConcept C70710897 @default.
- W4287662227 hasConcept C73000952 @default.
- W4287662227 hasConcept C74193536 @default.
- W4287662227 hasConcept C75291252 @default.
- W4287662227 hasConcept C80884492 @default.
- W4287662227 hasConceptScore W4287662227C119599485 @default.
- W4287662227 hasConceptScore W4287662227C127162648 @default.
- W4287662227 hasConceptScore W4287662227C127413603 @default.
- W4287662227 hasConceptScore W4287662227C134306372 @default.
- W4287662227 hasConceptScore W4287662227C138885662 @default.
- W4287662227 hasConceptScore W4287662227C17744445 @default.
- W4287662227 hasConceptScore W4287662227C191795146 @default.
- W4287662227 hasConceptScore W4287662227C199539241 @default.
- W4287662227 hasConceptScore W4287662227C202444582 @default.
- W4287662227 hasConceptScore W4287662227C28826006 @default.
- W4287662227 hasConceptScore W4287662227C33923547 @default.
- W4287662227 hasConceptScore W4287662227C41895202 @default.
- W4287662227 hasConceptScore W4287662227C57869625 @default.
- W4287662227 hasConceptScore W4287662227C62799726 @default.
- W4287662227 hasConceptScore W4287662227C70710897 @default.
- W4287662227 hasConceptScore W4287662227C73000952 @default.
- W4287662227 hasConceptScore W4287662227C74193536 @default.
- W4287662227 hasConceptScore W4287662227C75291252 @default.
- W4287662227 hasConceptScore W4287662227C80884492 @default.
- W4287662227 hasLocation W42876622271 @default.
- W4287662227 hasOpenAccess W4287662227 @default.
- W4287662227 hasPrimaryLocation W42876622271 @default.
- W4287662227 hasRelatedWork W183296071 @default.
- W4287662227 hasRelatedWork W1980535956 @default.
- W4287662227 hasRelatedWork W2188283173 @default.
- W4287662227 hasRelatedWork W2308982055 @default.
- W4287662227 hasRelatedWork W2582800953 @default.
- W4287662227 hasRelatedWork W2605633893 @default.
- W4287662227 hasRelatedWork W2896419989 @default.
- W4287662227 hasRelatedWork W2962820140 @default.
- W4287662227 hasRelatedWork W2129941769 @default.
- W4287662227 hasRelatedWork W2727016594 @default.
- W4287662227 isParatext "false" @default.
- W4287662227 isRetracted "false" @default.
- W4287662227 workType "article" @default.