Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets | Zendy

Jean B. Lasserre | Zendy; Youssouf Emin | Zendy

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Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets

Author(s) -

Jean B. Lasserre,

Youssouf Emin

Publication year - 2019

Publication title -

mathematics of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.619

H-Index - 83

eISSN - 1526-5471

pISSN - 0364-765X

DOI - 10.1287/moor.2018.0980

Subject(s) - mathematics , complement (music) , measure (data warehouse) , monotone polygon , lebesgue measure , sequence (biology) , combinatorics , discrete mathematics , polynomial , lebesgue integration , mathematical analysis , biochemistry , chemistry , genetics , geometry , database , complementation , biology , computer science , gene , phenotype

Given a finite Borel measure μ on Rn and basic semialgebraic sets Ωi⊂Rn, i=1,…,p, we provide a systematic numerical scheme to approximate as closely as desired μ(∪iΩi), when all moments of μ are av...

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