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Publication Higher-Dimensional Potential Heuristics for Optimal Classical Planning ConferencePaper (Artikel, die in Tagungsbänden erschienen sind) ID 3677170 Author(s) Pommerening, Florian; Helmert, Malte; Bonet, Blai Author(s) at UniBasel Pommerening, Florian; Helmert, Malte; Year 2017 Title Higher-Dimensional Potential Heuristics for Optimal Classical Planning Book title (Conference Proceedings) Proceedings of the 31st AAAI Conference on Artificial Intelligence (AAAI 2017) Place of Conference San Francisco, California USA Publisher AAAI Press Pages 3636-3643 ISSN/ISBN 2159-5399 ; 2374-3468 Potential heuristics for state-space search are defined as weighted sums over simple state features. Atomic features consider the value of a single state variable in a factored state representation, while binary features consider joint assignments to two state variables. Previous work showed that the set of all admissible and consistent potential heuristics using atomic features can be characterized by a compact set of linear constraints. We generalize this result to binary features and prove a hardness result for features of higher dimension. Furthermore, we prove a tractability result based on the treewidth of a new graphical structure we call the context-dependency graph. Finally, we study the relationship of potential heuristics to transition cost partitioning. Experimental results show that binary potential heuristics are significantly more informative than the previously considered atomic ones. Series title Proceedings of the ... AAAI Conference on Artificial Intelligence edoc-URL http://edoc.unibas.ch/54609/ Full Text on edoc Available