Learning algebraic decompositions using Prony structures

DC ElementWertSprache
dc.contributor.authorKunis, Stefan
dc.contributor.authorRoemer, Tim
dc.contributor.authorvon der Ohe, Ulrich
dc.date.accessioned2021-12-23T16:06:45Z-
dc.date.available2021-12-23T16:06:45Z-
dc.date.issued2020
dc.identifier.issn01968858
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7540-
dc.description.abstractWe 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.sponsorshipINdAM-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.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofADVANCES IN APPLIED MATHEMATICS
dc.subjectEXPONENTIAL-SUMS
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectMULTIVARIATE
dc.subjectPARAMETER-ESTIMATION
dc.subjectSPARSE POLYNOMIAL INTERPOLATION
dc.subjectSUPERRESOLUTION
dc.titleLearning algebraic decompositions using Prony structures
dc.typejournal article
dc.identifier.doi10.1016/j.aam.2020.102044
dc.identifier.isiISI:000530068900003
dc.description.volume118
dc.contributor.orcid0000-0003-3459-5148
dc.identifier.eissn10902074
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationAdv. Appl. Math.
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidKuSt212-
crisitem.author.netidRoTi119-
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