Publikation:

Linear Distances between Markov Chains

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2016

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Daca, Przemyslaw
Henzinger, Thomas A.
Kretínský, Jan

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DESHARNAIS, Josée, ed., Radha JAGADEESAN, ed.. 27th International Conference on Concurrency Theory : CONCUR'16. Saarbrücken/Wadern: Schloss Dagstuhl, Leibniz-Zentrum für Informatik GmbH, 2016, 20. LIPIcs : Leibniz International Proceedings in Informatics. 59. ISSN 1868-8969. ISBN 978-3-95977-017-0. Available under: doi: 10.4230/LIPIcs.CONCUR.2016.20

Zusammenfassung

We introduce a general class of distances (metrics) between Markov chains, which are based on linear behaviour. This class encompasses distances given topologically (such as the total variation distance or trace distance) as well as by temporal logics or automata. We investigate which of the distances can be approximated by observing the systems, i.e. by black-box testing or simulation, and we provide both negative and positive results.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
004 Informatik

Schlagwörter

probabilistic systems, verification, statistical model checking, temporal logic, behavioural equivalence

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27th International Conference on Concurrency Theory : CONCUR 2016, 23. Aug. 2016 - 26. Aug. 2016, Québec City, Canada
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ISO 690DACA, Przemyslaw, Thomas A. HENZINGER, Jan KRETÍNSKÝ, Tatjana PETROV, 2016. Linear Distances between Markov Chains. 27th International Conference on Concurrency Theory : CONCUR 2016. Québec City, Canada, 23. Aug. 2016 - 26. Aug. 2016. In: DESHARNAIS, Josée, ed., Radha JAGADEESAN, ed.. 27th International Conference on Concurrency Theory : CONCUR'16. Saarbrücken/Wadern: Schloss Dagstuhl, Leibniz-Zentrum für Informatik GmbH, 2016, 20. LIPIcs : Leibniz International Proceedings in Informatics. 59. ISSN 1868-8969. ISBN 978-3-95977-017-0. Available under: doi: 10.4230/LIPIcs.CONCUR.2016.20
BibTex
@inproceedings{Daca2016Linea-42139,
  year={2016},
  doi={10.4230/LIPIcs.CONCUR.2016.20},
  title={Linear Distances between Markov Chains},
  number={59},
  isbn={978-3-95977-017-0},
  issn={1868-8969},
  publisher={Schloss Dagstuhl, Leibniz-Zentrum für Informatik GmbH},
  address={Saarbrücken/Wadern},
  series={LIPIcs : Leibniz International Proceedings in Informatics},
  booktitle={27th International Conference on Concurrency Theory : CONCUR'16},
  editor={Desharnais, Josée and Jagadeesan, Radha},
  author={Daca, Przemyslaw and Henzinger, Thomas A. and Kretínský, Jan and Petrov, Tatjana},
  note={Article Number: 20}
}
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