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Theoretical and Experimental Results for Planning with Learned Binarized Neural Network Transition Models

Say, Buser (author)
Monash University
Devriendt, Jo (author)
Lund University,Lunds universitet,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen
Nordström, Jakob (author)
Lund University,Lunds universitet,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen
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Stuckey, Peter J. (author)
Monash University
Simonis, Helmut (editor)
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 (creator_code:org_t)
2020-09-02
2020
English 18 s.
In: Principles and Practice of Constraint Programming - 26th International Conference, CP 2020, Proceedings. - Cham : Springer International Publishing. - 1611-3349 .- 0302-9743. - 9783030584740 ; 12333, s. 917-934
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • We study planning problems where the transition function is described by a learned binarized neural network (BNN). Theoretically, we show that feasible planning with a learned BNN model is NP-complete, and present two new constraint programming models of this task as a mathematical optimization problem. Experimentally, we run solvers for constraint programming, weighted partial maximum satisfiability, 0–1 integer programming, and pseudo-Boolean optimization, and observe that the pseudo-Boolean solver outperforms previous approaches by one to two orders of magnitude. We also investigate symmetry handling for planning problems with learned BNNs over long horizons. While the results here are less clear-cut, we see that exploiting symmetries can sometimes reduce the running time of the pseudo-Boolean solver by up to three orders of magnitude.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Automated planning
Binarized neural networks
Cutting planes reasoning
Mathematical optimization
Pseudo-Boolean optimization
Symmetry

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