Learning algebraic decompositions using Prony structures

07/02/2019

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by   Stefan Kunis, et al.

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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 multivariate exponential sums, sparse polynomials, Gaußian sums, spherical harmonic sums, taking also into account whether they have their support on an algebraic set.