Mondrian hidden Markov model for music signal processing

This paper discusses a new extension of hidden Markov models that can capture clusters embedded in transitions between the hidden states. In our model, the state-transition matrices are viewed as representations of relational data reflecting a network structure between the hidden states. We specifically present a nonparametric Bayesian approach to the proposed state-space model whose network structure is represented by a Mondrian Process-based relational model. We show an application of the proposed model to music signal analysis through some experimental results.