Approximate super-resolution and truncated moment problems in all dimensions

Javier Hernan Garcia Sanchez (), Camilo Hernandez (), Mauricio Junca () and Mauricio Velasco ()

No 17234, Documentos de Trabajo from Quantil

Abstract: We study the problem of reconstructing a discrete measure on a compact set K subset Rn from a finite set of moments (possibly known only approximately) via convex optimization. We give new uniqueness results, new quantitative estimates for approximate recovery and a new sum-of-squares based hierarchy for approximate super-resolution on compact semi-algebraic sets.

Keywords: CONVEX; OPTIMIZATIONSUPER-RESOLUTIONTRUNCATED; MOMENTS (search for similar items in EconPapers)
JEL-codes: C60 C65 C69 (search for similar items in EconPapers)
Pages: 21
Date: 2018-10-30
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Persistent link: https://EconPapers.repec.org/RePEc:col:000508:017234

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