Estimating the Size of Search Trees by Sampling with Domain Knowledge

被引:0
作者
Belov, Gleb [1 ]
Esler, Samuel [1 ]
Fernando, Dylan [1 ]
Le Bodic, Pierre [1 ]
Nemhauser, George L. [2 ]
机构
[1] Monash Univ, Fac Informat Technol, Clayton, Vic, Australia
[2] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
来源
PROCEEDINGS OF THE TWENTY-SIXTH INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE | 2017年
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中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We show how recently-defined abstract models of the Branch & Bound algorithm can be used to obtain information on how the nodes are distributed in B&B search trees. This can be directly exploited in the form of probabilities in a sampling algorithm given by Knuth that estimates the size of a search tree. This method reduces the offline estimation error by a factor of two on search trees from Mixed-Integer Programming instances.
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页码:473 / 479
页数:7
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