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Home / Proceedings / Proceedings of the International Conference on Automated Planning and Scheduling

Predicting Optimal Solution Cost with Bidirectional Stratified Sampling

February 1, 2023

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Authors

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte

University of Alberta,Ben Gurion University,Ben Gurion University,University of Regina,University of Alberta


DOI:

10.1609/icaps.v22i1.13512


Abstract:

Optimal planning and heuristic search systems solve state-space searchproblems by finding a least-cost path from start to goal. As a byproduct of having an optimal path they also determine the optimal solution cost. In this paper we focus on the problem of determining the optimal solution cost for a state-space search problem directly, i.e. without actually finding a solution path of that cost. We present an efficient algorithm, BiSS, based on ideas of bidirectional search and stratified sampling that produces accurate estimates of the optimal solution cost. Our method is guaranteed to return the optimal solution cost in the limit as the sample size goes to infinity.We show empirically that our method makes accurate predictions in several domains. In addition, we show that our method scales to state spaces much larger than can be solved optimally. In particular, we estimate the average solution cost for the 6x6, 7x7, and 8x8 Sliding-Tile Puzzle and provide indirect evidence that these estimates are accurate.

Topics: ICAPS

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HOW TO CITE:

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte Predicting Optimal Solution Cost with Bidirectional Stratified Sampling Proceedings of the International Conference on Automated Planning and Scheduling (2012) 155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte Predicting Optimal Solution Cost with Bidirectional Stratified Sampling ICAPS 2012, 155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte (2012). Predicting Optimal Solution Cost with Bidirectional Stratified Sampling. Proceedings of the International Conference on Automated Planning and Scheduling, 155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. Predicting Optimal Solution Cost with Bidirectional Stratified Sampling. Proceedings of the International Conference on Automated Planning and Scheduling 2012 p.155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. 2012. Predicting Optimal Solution Cost with Bidirectional Stratified Sampling. "Proceedings of the International Conference on Automated Planning and Scheduling". 155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. (2012) "Predicting Optimal Solution Cost with Bidirectional Stratified Sampling", Proceedings of the International Conference on Automated Planning and Scheduling, p.155-163

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte, "Predicting Optimal Solution Cost with Bidirectional Stratified Sampling", ICAPS, p.155-163, 2012.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. "Predicting Optimal Solution Cost with Bidirectional Stratified Sampling". Proceedings of the International Conference on Automated Planning and Scheduling, 2012, p.155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. "Predicting Optimal Solution Cost with Bidirectional Stratified Sampling". Proceedings of the International Conference on Automated Planning and Scheduling, (2012): 155-163.

Levi Lelis,Roni Stern,Ariel Felner,Sandra Zilles,Robert Holte. Predicting Optimal Solution Cost with Bidirectional Stratified Sampling. ICAPS[Internet]. 2012[cited 2023]; 155-163.


ISSN: 2334-0843


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