Fourth European Conference on Speech Communication and Technology

Madrid, Spain
September 18-21, 1995

Calculation of Distance Measures Between Hidden Markov Models

Markus Falkhausen, Herbert Reininger, Dietrich Wolf

Institut fur Angewandte Physik, Johann Wolfgang Goethe Universitat, Frankfurt am Main, Germany

This paper investigates two methods to define a distance measure between any pair of Hidden Markov Models (HMM). The first one is the geometricaly motivated euclidean distance which solely incorporates the feature probabilities. The second mesures is the Kulback-Liebler distance which is based on the discriminating power of the probability measure on the space of feature sequences induced by the HMMs. A method is shown, to compute the proposed measures reasonable fast and the distance measures are compared in a series of simulations involving HMMs from a real world speech recognition system.

Full Paper

Bibliographic reference.  Falkhausen, Markus / Reininger, Herbert / Wolf, Dietrich (1995): "Calculation of distance measures between hidden Markov models", In EUROSPEECH-1995, 1487-1490.