Inference and minimization of hidden Markov chains
COLT '94 Proceedings of the seventh annual conference on Computational learning theory
Journal of Artificial Intelligence Research
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ATVA'11 Proceedings of the 9th international conference on Automated technology for verification and analysis
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LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
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We investigate the problem of learning probabilistic automata and Markov chains via queries in the teacher-student learning model. Probabilistic automata and Markov chains are probabilistic extensions of finite state automata and have similar structures. We discuss some natural oracles associated with probabilistic automata and Markov chains. We present polynomial-time algorithms for learning probabilistic automata and Markov Chains using these oracles.