Parameter recovery for moment problems on algebraic varieties

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Title: Parameter recovery for moment problems on algebraic varieties
Authors: Wageringel, Markus
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Thesis advisor: Prof. Dr. Stefan Kunis
Thesis referee: Prof. Dr. Timo de Wolff
Abstract: The thesis studies truncated moment problems and related reconstruction techniques. It transfers the main aspects of Prony's method from finitely-supported measures to the classes of signed or non-negative measures supported on algebraic varieties of any dimension. The Zariski closure of the support of these measures is shown to be determined by finitely many moments and can be computed from the kernel of moment matrices. Moreover, several reconstruction algorithms are developed which are based on the computation of generalized eigenvalues and allow to recover the components of mixtures of such measures.
Subject Keywords: truncated moment problem; Prony's method; generalized eigenvalues; matrix pencil
Issue Date: 16-May-2022
License name: Attribution-NonCommercial-ShareAlike 3.0 Germany
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Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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