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Polyhedral aspects of score equivalence in Bayesian network structure learning
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SYSNO ASEP 0475315 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Polyhedral aspects of score equivalence in Bayesian network structure learning Author(s) Cussens, J. (GB)
Haws, D. (US)
Studený, Milan (UTIA-B) RID, ORCIDNumber of authors 3 Source Title Mathematical Programming. - : Springer - ISSN 0025-5610
Roč. 164, 1-2 (2017), s. 285-324Number of pages 40 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords family-variable polytope ; characteristic-imset polytope ; score equivalent face/facet ; supermodular set function Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA13-20012S GA ČR - Czech Science Foundation (CSF) GA16-12010S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000403450600012 EID SCOPUS 84994314193 DOI 10.1007/s10107-016-1087-2 Annotation This paper deals with faces and facets of the family-variable polytope and the characteristic-imset polytope, which are special polytopes used in integer linear programming approaches to statistically learn Bayesian network structure. A common form of linear objectives to be maximized in this area leads to the concept of score equivalence (SE), both for linear objectives and for faces of the family-variable polytope. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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