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What is complexity of learning Bayesian networks with bounded vertex cover unmber? 


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Learning Bayesian networks with bounded vertex cover number has been shown to be tractable in polynomial time for any fixed vertex cover number bound k . This is in contrast to the general case where the learning problem remains NP-hard even for tree-width 2 . The complexity of learning bounded vertex cover number Bayesian networks is further explored, and it is shown that the learning problem is W[1]-hard in parameter k . Additionally, an alternative method using integer linear programming (ILP) for learning bounded vertex cover number Bayesian networks is proposed, which has been shown to be feasible in practice .

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Open accessPosted Content
Keisuke Yamazaki, Sumio Watanbe 
19 Oct 2012-arXiv: Learning
The provided paper does not mention anything about the complexity of learning Bayesian networks with a bounded vertex cover number.
The paper does not mention the complexity of learning Bayesian networks with a bounded vertex cover number. The paper focuses on the complexity of Polytree Learning and its relationship with the number of variables and the maximum parent set size.
Open accessProceedings Article
Janne H. Korhonen, Pekka Parviainen 
07 Dec 2015
8 Citations
The complexity of learning Bayesian networks with bounded vertex cover number is shown to be W[1]-hard in parameter k.
The complexity of learning Bayesian networks with bounded vertex cover number is not mentioned in the provided paper.
The paper does not mention anything about the complexity of learning Bayesian networks with bounded vertex cover number.

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