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Property-driven State-Space Coarsening for Continuous Time Markov Chains

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Original languageEnglish
Title of host publicationQuantitative Evaluation of Systems
Subtitle of host publication13th International Conference on Quantitative Evaluation of SysTems (QEST 2016)
Place of PublicationQuebec City, Canada
PublisherSpringer International Publishing
Pages3-18
Number of pages16
ISBN (Electronic)978-3-319-43425-4
ISBN (Print)978-3-319-43424-7
DOIs
Publication statusPublished - 3 Aug 2016
Event13th International Conference on Quantitative Evaluation of SysTems - Quebec City, Canada
Duration: 23 Aug 201625 Aug 2016
http://www.qest.org/qest2016/

Publication series

NameLecture Notes in Computer Science (LNCS)
PublisherSpringer International Publishing
Volume9826
ISSN (Print)0302-9743

Conference

Conference13th International Conference on Quantitative Evaluation of SysTems
Abbreviated titleQEST 2016
CountryCanada
CityQuebec City
Period23/08/1625/08/16
Internet address

Abstract

Dynamical systems with large state-spaces are often expensive to thoroughly explore experimentally. Coarse-graining methods aim to define simpler systems which are more amenable to analysis and exploration; most current methods, however, focus on a priori state aggregation based on similarities in transition rates, which is not necessarily reflected in similar behaviours at the level of trajectories. We propose a way to coarsen the state-space of a system which optimally preserves the satisfaction of a set of logical specifications about the system's trajectories. Our approach is based on Gaussian Process emulation and Multi-Dimensional Scaling, a dimensionality reduction technique which optimally preserves distances in non-Euclidean spaces. We show how to obtain low-dimensional visualisations of the system's state-space from the perspective of properties' satisfaction, and how to define macro-states which behave coherently with respect to the specifications. Our approach is illustrated on a non-trivial running example, showing promising performance and high computational efficiency.

Event

13th International Conference on Quantitative Evaluation of SysTems

23/08/1625/08/16

Quebec City, Canada

Event: Conference

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