Learning algebraic decompositions using Prony structures
Commutative Algebra
2021-05-18 v2 Numerical Analysis
Numerical Analysis
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 (with respect to the monomial and Chebyshev bases), Gau{\ss}ian sums, spherical harmonic sums, taking also into account whether they have their support on an algebraic set.
Cite
@article{arxiv.1907.01547,
title = {Learning algebraic decompositions using Prony structures},
author = {Stefan Kunis and Tim Römer and Ulrich von der Ohe},
journal= {arXiv preprint arXiv:1907.01547},
year = {2021}
}
Comments
33 pages; revised version. The third author was supported by an INdAM-DP-COFUND-2015/Marie Sk\l{}odowska-Curie Actions scholarship, grant number 713485