How matroids occur in the context of learning Bayesian network structure
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00447685" target="_blank" >RIV/67985556:_____/15:00447685 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
How matroids occur in the context of learning Bayesian network structure
Original language description
It is shown that any connected matroid having a non-trivial cluster of BN variables as its ground set induces a facet-defining inequality for the polytope(s) used in the ILP approach to globally optimal BN structure learning. The result applies to well-known k-cluster inequalities, which play a crucial role in the ILP approach.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Uncertainty in Artificial Intelligence, Proceedings of the Thirty-First Conference (2015)
ISBN
978-0-9966431-0-8
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
832-841
Publisher name
AUAI Press
Place of publication
Corvallis, Oregon
Event location
Amsterdam
Event date
Jul 12, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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