Title
Approximate Probabilistic Parallel Multiset Rewriting Using MCMC.
Abstract
Probabilistic parallel multiset rewriting systems (PPMRS) model probabilistic, dynamic systems consisting of multiple, (inter-)acting agents and objects (entities), where multiple individual actions can be performed in parallel. The main computational challenge in these approaches is computing the distribution of parallel actions (compound actions), that can be formulated as a constraint satisfaction problem (CSP). Unfortunately, computing the partition function for this distribution exactly is infeasible, as it requires to enumerate all solutions of the CSP, which are subject to a combinatorial explosion. The central technical contribution of this paper is an efficient Markov Chain Monte Carlo (MCMC)-based algorithm to approximate the partition function, and thus the compound action distribution. The proposal function works by performing backtracking in the CSP search tree, and then sampling a solution of the remaining, partially solved CSP. We demonstrate our approach on a Lotka-Volterra system with PPMRS semantics, where exact compound action computation is infeasible. Our approach allows to perform simulation studies and Bayesian filtering with PPMRS semantics in scenarios where this was previously infeasible.
Year
DOI
Venue
2018
10.1007/978-3-030-00111-7_7
Lecture Notes in Artificial Intelligence
Keywords
DocType
Volume
Bayesian filtering,Probabilistic multiset rewriting system,Metropolis-Hastings algorithm,Markov chain monte carlo,Constraint satisfaction problem
Conference
11117
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Stefan Lüdtke135.15
Max Schröder245.86
Thomas Kirste39318.37