Viewing posts for the category HMM
So, initially when I was using CTW the problem was with VQ, in particular, independence of the quantization from the inference in the Markovian model. I solved that using HMMs so that the quantization is learned simultaneously with the structure.
I just realized that I can meaningfully compare many HMMs if I sort the states. If I put in initial emission distribution means so that for a univariate case the first state is the one with the lowest mean whereas the last one is the one with the highest mean, then I can ensure that I get the same state labeling for all trained models. This naturally extends to the multivariate case.