Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence 2019
DOI: 10.24963/ijcai.2019/771
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Generalized Potential Heuristics for Classical Planning

Abstract: Generalized planning aims at computing solutions that work for all instances of the same domain. In this paper, we show that several interesting planning domains possess compact generalized heuristics that can guide a greedy search in guaranteed polynomial time to the goal, and which work for any instance of the domain. These heuristics are weighted sums of state features that capture the number of objects satisfying a certain first-order logic property in any given state. These features have a meaningful inte… Show more

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Cited by 17 publications
(30 citation statements)
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“…Where they report a number of clauses for Q clear , Q on , Q grip and Q rew of, respectively, 767K, 3.3M, 358K and 1.2M, the number of clauses in our encoding is 242.3K, 281.5K, 100.8K and 98.9K, that is up to one order of magnitude smaller, which allows D2L to scale up to several other domains. Our approach is also more efficient than the one in (Francès et al 2019), which requires several hours to solve a domain such as Gripper, which D2L can tackle in a few seconds.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Where they report a number of clauses for Q clear , Q on , Q grip and Q rew of, respectively, 767K, 3.3M, 358K and 1.2M, the number of clauses in our encoding is 242.3K, 281.5K, 100.8K and 98.9K, that is up to one order of magnitude smaller, which allows D2L to scale up to several other domains. Our approach is also more efficient than the one in (Francès et al 2019), which requires several hours to solve a domain such as Gripper, which D2L can tackle in a few seconds.…”
Section: Resultsmentioning
confidence: 99%
“…Deep reinforcement learning methods (Mnih et al 2015) have also been used to generate general policies from images without assuming prior symbolic knowledge (Groshev et al 2018;Chevalier-Boisvert et al 2019), in certain cases accounting for objects and relations through the use of suitable architectures (Garnelo and Shanahan 2019). Our work is closest to the works of Bonet, Francès, and Geffner (2019) and Francès et al (2019). The first provides a modelbased approach to generalized planning where an abstract QNP model is learned from the domain representation and sample instances and plans, which is then solved by a QNP planner (Bonet and Geffner 2020).…”
Section: Related Workmentioning
confidence: 91%
“…The sketch language is the language of general policies (Bonet and Geffner 2018) that has been used for learning as well (Martín and Geffner 2004;Bonet, Francès, and Geffner 2019;Francès, Bonet, and Geffner 2021). The description logic features have also been used to learn linear value functions that can be used to solve problems greedily (Francès et al 2019;de Graaff, Corrêa, and Pommerening 2021) and dead-end classifiers (Ståhlberg, Francès, and Seipp 2021). The use of numerical features that can be incremented and decremented qualitatively is inspired by QNPs (Srivastava et al 2011;Bonet and Geffner 2020).…”
Section: Related Workmentioning
confidence: 99%
“…Rather than using ML to learn an optimal plan directly, it can be used to learn general heuristics that simplify the problem and thus help to solve the problem more efficiently. By automatically labeling states on whether they are alive or unsolvable, a mixed integer linear program can be developed [FCGP19]. As the method automatically labels the states by brute force, it only works on problems with a small number of reachable states.…”
Section: Unsupervised Learningmentioning
confidence: 99%