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On computing the total variation distance of hidden Markov models

Abstract:
We prove results on the decidability and complexity of computing the total variation distance (equivalently, the L1-distance) of hidden Markov models (equivalently, labelled Markov chains). This distance measures the difference between the distributions on words that two hidden Markov models induce. The main results are: (1) it is undecidable whether the distance is greater than a given threshold; (2) approximation is #P-hard and in PSPACE.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.ICALP.2018.130

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Schloss Dagstuhl Publisher's website
Host title:
45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Series:
Leibniz International Proceedings in Informatics
Journal:
45th International Colloquium on Automata, Languages, and Programming (ICALP) Journal website
Volume:
107
Pages:
130:1--130:13
Publication date:
2018-06-29
Acceptance date:
2018-04-16
DOI:
ISSN:
1868-8969
ISBN:
9783959770767
Keywords:
Pubs id:
pubs:842301
UUID:
uuid:89098f10-5958-4807-9f07-5238c27fd263
Local pid:
pubs:842301
Source identifiers:
842301
Deposit date:
2018-04-19

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