1998
DOI: 10.1613/jair.505
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The Computational Complexity of Probabilistic Planning

Abstract: We examine the computational complexity of testing and nding small plans in probabilistic planning domains with both at and propositional representations. The complexity of plan evaluation and existence varies with the plan type sought; we examine totally ordered plans, acyclic plans, and looping plans, and partially ordered plans under three natural de nitions of plan value. We show that problems of interest are complete for a variety of complexity classes: PL, P, NP, co-NP, PP, N P PP , co-NP PP , and PSPACE… Show more

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Cited by 130 publications
(104 citation statements)
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“…Results are shown in Tables 1, 2, and 3. The table 1 reveals slight over-fitting in our models since it did not generalize well when compared to the baselines, i.e., we seem to obtain better accuracy on the training data than the authors in [26] while their system generalize better on unseen data. However, observing deeply, we see only slight variations between train and test accuracy.…”
Section: Discussionmentioning
confidence: 88%
See 3 more Smart Citations
“…Results are shown in Tables 1, 2, and 3. The table 1 reveals slight over-fitting in our models since it did not generalize well when compared to the baselines, i.e., we seem to obtain better accuracy on the training data than the authors in [26] while their system generalize better on unseen data. However, observing deeply, we see only slight variations between train and test accuracy.…”
Section: Discussionmentioning
confidence: 88%
“…Tables 1, 2 and 3 display the results obtained on the datasets used. For table 1, we used the results from Rocktaschel et al, [26], Baudis et al, [2] and Bowman et al, [9] as the baseline systems on SNLI and SICK respectively. For PASCAL-RTE3, we did not include any baseline system since there is no recent work which use similar deep learning approach on that dataset.…”
Section: Bnaic 2016mentioning
confidence: 99%
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“…These approaches try to generate conditional plans and policies (mappings from states to actions), respectively. Unfortunately, both approaches are of much higher complexity [7,8] than classical planning and usually fail to scale in even moderately complex scenarios. Furthermore, it might be impossible to model all potential outcomes of actions in dynamic environments, or concrete probabilities of outcomes are unknown.…”
Section: Planning In Real-world Environmentsmentioning
confidence: 99%