{"type":"ScholarlyArticle","title":"Predicting the Size of Depth-First Branch and Bound Search Trees","authors":[{"name":"Levi H. S. Lelis","slug":"levi-h-s-lelis","given":"Levi H. S.","family":"Lelis","affiliation":""},{"name":"Lars Otten","slug":"lars-otten","given":"Lars","family":"Otten","affiliation":""},{"name":"Rina Dechter","slug":"rina-dechter","given":"Rina","family":"Dechter","affiliation":""}],"abstract":"This paper provides algorithms for predicting the size of the Expanded Search Tree (EST) of Depth-first Branch and Bound algorithms (DFBnB) for optimization tasks. The prediction algorithm is implemented and evaluated in the context of solving combinatorial optimization problems over graphical models such as Bayesian and Markov networks. Our methods extend to DFBnB the approaches provided by Knuth-Chen schemes that were designed and applied for predicting the EST size of backtracking search algorithms. Our empirical results demonstrate good predictions which are superior to competing schemes.","doi":null,"url":"https://ijcai.org/proceedings/2013/95","pdf":"https://ijcai.org/proceedings/2013/0095.pdf","markdown":"https://ijcai.org/proceedings/2013/95.md","bibtex":"https://ijcai.org/proceedings/2013/bibtex/95","volume":{"slug":"2013","title":"Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2013","url":"https://ijcai.org/proceedings/2013/","year":2013,"location":"Beijing, China","dates":"3–9 August 2013","editors":"Francesca Rossi","isbn":"978-1-57735-633-2","publisher":"AAAI Press / International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":95,"pages":{"first":594,"last":599},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}