Learning algebraic decompositions using Prony structures
| Autor(en): | Kunis, Stefan Roemer, Tim von der Ohe, Ulrich |
Stichwörter: | EXPONENTIAL-SUMS; Mathematics; Mathematics, Applied; MULTIVARIATE; PARAMETER-ESTIMATION; SPARSE POLYNOMIAL INTERPOLATION; SUPERRESOLUTION | Erscheinungsdatum: | 2020 | Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Enthalten in: | ADVANCES IN APPLIED MATHEMATICS | Band: | 118 | Zusammenfassung: | 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. |
ISSN: | 01968858 | DOI: | 10.1016/j.aam.2020.102044 |
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