Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김선영 | * |
dc.date.accessioned | 2018-12-07T16:30:33Z | - |
dc.date.available | 2018-12-07T16:30:33Z | - |
dc.date.issued | 2017 | * |
dc.identifier.issn | 1052-6234 | * |
dc.identifier.other | OAK-20905 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/247352 | - |
dc.description.abstract | For binary polynomial optimization problems (POPs) of degree d with n variables, we prove that the d(n+d-1)=2eth semidefinite programming (SDP) relaxation in Lasserre's hierarchy of SDP relaxations provides the exact optimal value. If binary POPs involve only even-degree monomials, we show that it can be further reduced to d(n+d-2)=2e. This bound on the relaxation order coincides with the conjecture by Laurent in 2003, which was recently proved by Fawzi, Saunderson, and Parrilo, on binary quadratic optimization problems where d = 2. We also numerically confirm that the bound is tight. More precisely, we present instances of binary POPs that require solving at least the d(n + d - 1)=2eth SDP relaxation for general binary POPs and the d(n + d - 2)=2eth SDP relaxation for even-degree binary POPs to obtain the exact optimal values. | * |
dc.language | English | * |
dc.publisher | Society for Industrial and Applied Mathematics Publications | * |
dc.subject | Binary polynomial optimization problems | * |
dc.subject | Bound for the exact SDP relaxation | * |
dc.subject | Chordal graph | * |
dc.subject | Even-degree binary polynomial optimization problems | * |
dc.subject | Hierarchy of SDP relaxations | * |
dc.title | Exact semidefinite programming relaxations with truncated moment matrix for binary polynomial optimization problems | * |
dc.type | Article | * |
dc.relation.issue | 1 | * |
dc.relation.volume | 27 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 565 | * |
dc.relation.lastpage | 582 | * |
dc.relation.journaltitle | SIAM Journal on Optimization | * |
dc.identifier.doi | 10.1137/16M105544X | * |
dc.identifier.wosid | WOS:000404178500024 | * |
dc.identifier.scopusid | 2-s2.0-85021159897 | * |
dc.author.google | Sakaue S. | * |
dc.author.google | Takeda A. | * |
dc.author.google | Kim S. | * |
dc.author.google | Ito N. | * |
dc.contributor.scopusid | 김선영(57221275622) | * |
dc.date.modifydate | 20231116113048 | * |