Bounding the support of a measure from its marginal moments

DOI10.1090/S0002-9939-2011-10865-7zbMath1231.60004arXiv1011.0138OpenAlexW2963101339MaRDI QIDQ3092862

Jean-Bernard Lasserre

Publication date: 11 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0138

zbMATH Keywords

semidefinite programminginverse problemsmarginalsmoments of a measure

Mathematics Subject Classification ID

Semidefinite programming (90C22) Probabilistic measure theory (60A10)

Related Items (5)

Connecting optimization with spectral analysis of tri-diagonal matrices ⋮ Minimizing Rational Functions: A Hierarchy of Approximations via Pushforward Measures ⋮ Lebesgue decomposition in action via semidefinite relaxations ⋮ Optimal bounds on the positivity of a matrix from a few moments ⋮ Sharp pointwise gradient estimates for Riesz potentials with a bounded density

Uses Software

• OPQ

Cites Work

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• A note on Tchakaloff’s Theorem
• Reconstructing planar domains from their moments
• A Stable Numerical Method for Inverting Shape from Moments
• Semidefinite Programming
• Multidimensional Integral Inversion, with Applications in Shape Reconstruction
• The proof of Tchakaloff’s Theorem

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