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Accelerating combinatorial filter reduction through constraints

Title: Accelerating combinatorial filter reduction through constraints
Authors: Zhang, Yulin; Rahmani, Hazhar; Shell, Dylan A.; O'Kane, Jason M.
Publication Year: 2020
Collection: Computer Science
Subject Terms: Computer Science - Robotics; Computer Science - Artificial Intelligence
Description: Reduction of combinatorial filters involves compressing state representations that robots use. Such optimization arises in automating the construction of minimalist robots. But exact combinatorial filter reduction is an NP-complete problem and all current techniques are either inexact or formalized with exponentially many constraints. This paper proposes a new formalization needing only a polynomial number of constraints, and characterizes these constraints in three different forms: nonlinear, linear, and conjunctive normal form. Empirical results show that constraints in conjunctive normal form capture the problem most effectively, leading to a method that outperforms the others. Further examination indicates that a substantial proportion of constraints remain inactive during iterative filter reduction. To leverage this observation, we introduce just-in-time generation of such constraints, which yields improvements in efficiency and has the potential to minimize large filters.; Comment: 7 pages, 3 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2011.03471
Accession Number: edsarx.2011.03471
Database: arXiv