The success of many real-world applications demonstrates that hidden Markov models(HMMs) are highly effective in one-dimensional pattern recognition problems such as speech recognition. Research is now focussed on extending HMMs to 2-D and possibly 3-D applications which arise in gesture, face, and handwriting recognition. Although the HMM has become a major workhorse of the pattern recognition community, there are few analytical results which can explain its remarkably good pattern recognition performance. There are also only a few theoretical principles for guiding researchers in selecting topologies or understanding how the model parameters contribute to performance. In this chapter, we deal with these issues and use simulated data to evaluate the performance of a number of alternatives to the traditional Baum-Welch algorithm for learning HMM parameters. We then compare the best of these strategies to Baum-Welch on a real hand gesture recognition system in an attempt to develop insights into these fundamental aspects of learning.
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