A Sufficient Condition for Reducing Recursions in Hidden Markov Models
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- Song, Y.S. Bull. Math. Biol. (2006) 68: 361. doi:10.1007/s11538-005-9045-9
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In hidden Markov models, the probability of observing a set of strings can be computed using recursion relations. We construct a sufficient condition for simplifying the recursion relations for a certain class of hidden Markov models. If the condition is satisfied, then one can construct a reduced recursion where the dependence on Markov states completely disappears. We discuss a specific example—namely, statistical multiple alignment based on the TKF-model—in which the sufficient condition is satisfied.