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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