Learning algebraic decompositions using Prony structures
DC Element | Wert | Sprache |
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dc.contributor.author | Kunis, Stefan | |
dc.contributor.author | Roemer, Tim | |
dc.contributor.author | von der Ohe, Ulrich | |
dc.date.accessioned | 2021-12-23T16:06:45Z | - |
dc.date.available | 2021-12-23T16:06:45Z | - |
dc.date.issued | 2020 | |
dc.identifier.issn | 01968858 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/7540 | - |
dc.description.abstract | We propose an algebraic framework generalizing several variants of Prony's method and explaining their relations. This includes Hankel and Toeplitz variants of Prony's method for the decomposition of multivariate exponential sums, polynomials (w.r.t. the monomial and Chebyshev bases), GauBian sums, spherical harmonic sums, taking also into account whether they have their support on an algebraic set. (C) 2020 Elsevier Inc. All rights reserved. | |
dc.description.sponsorship | INdAM-DP-COFUND-2015/Marie Sklodowska-Curie Actions scholarship [713485]; MIUR-DAAD Joint Mobility Program ``PPPItalien''; The third author is a Marie Sklodowska-Curie fellow of the Istituto Nazionale di Alta Matematica, supported by an INdAM-DP-COFUND-2015/Marie Sklodowska-Curie Actions scholarship, grant number 713485. We gratefully acknowledge support by the MIUR-DAAD Joint Mobility Program ``PPPItalien''. | |
dc.language.iso | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.relation.ispartof | ADVANCES IN APPLIED MATHEMATICS | |
dc.subject | EXPONENTIAL-SUMS | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | MULTIVARIATE | |
dc.subject | PARAMETER-ESTIMATION | |
dc.subject | SPARSE POLYNOMIAL INTERPOLATION | |
dc.subject | SUPERRESOLUTION | |
dc.title | Learning algebraic decompositions using Prony structures | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.aam.2020.102044 | |
dc.identifier.isi | ISI:000530068900003 | |
dc.description.volume | 118 | |
dc.contributor.orcid | 0000-0003-3459-5148 | |
dc.identifier.eissn | 10902074 | |
dc.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | |
dcterms.isPartOf.abbreviation | Adv. Appl. Math. | |
dcterms.oaStatus | Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | KuSt212 | - |
crisitem.author.netid | RoTi119 | - |
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geprüft am 07.06.2024