title: Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements
metadata.name: dc.contributor.author
metadata.value: Khartov, Alexey Andreevich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-11T07:06:30Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-11T07:06:30Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-12
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 0885064X
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2047
metadata.lang: -
metadata.name: dc.description
metadata.value: Conferences: International Workshop "Information-Based Complexity and Model Selection", France, Paris,
  (April 9 - 10, 2015); International Conference "Information-based complexity", Poland, Bedlewo (April 26 - May 2, 2015);
metadata.lang: en_GB
metadata.name: dc.description.abstract
metadata.value: We study approximation properties of sequences of centered random elements Xd, d∈N, with values in separable Hilbert spaces. We focus on sequences of tensor product-type and, in particular, degree-type random elements, which have covariance operators of a corresponding tensor form.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was supported by the Government of the Russian Federation megagrant 11.G34.31.0026, by JSC ‘‘Gazprom Neft’’, by the RFBR grant 13-01-00172, by the SPbGU grant 6.38.672.2013, and by the grant of  scientific school NSh-2504.2014.1.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Journal of Complexity;Vol. 31; Issue 6
metadata.lang: -
metadata.name: dc.subject
metadata.value: multivariate problems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tensor product-type random elements
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: average case approximation complexity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tractability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Manuscript.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2047/1/Manuscript.pdf
resources.format: Adobe PDF
resources.description: Preprint
resources.size: 454,24 kB