A view of the EM algorithm that justifies incremental, sparse, and other variants
Learning in graphical models
An Introduction to Variational Methods for Graphical Models
Machine Learning
Monte Carlo Statistical Methods (Springer Texts in Statistics)
Monte Carlo Statistical Methods (Springer Texts in Statistics)
A discriminative model for polyphonic piano transcription
EURASIP Journal on Applied Signal Processing
Conjugate gamma Markov random fields for modelling nonstationary sources
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
A generative model for music transcription
IEEE Transactions on Audio, Speech, and Language Processing
A connectionist approach to automatic transcription of polyphonic piano music
IEEE Transactions on Multimedia
Unsupervised analysis of polyphonic music by sparse coding
IEEE Transactions on Neural Networks
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We introduce a framework for probabilistic generative models of time-frequency coefficients of audio signals, using a matrix factorization parametrization to jointly model spectral characteristics such as harmonicity and temporal activations and excitations. The models represent the observed data as the superposition of statistically independent sources, and we consider variance-based models used in source separation and intensity-based models for non-negative matrix factorization. We derive a generalized expectation-maximization algorithm for inferring the parameters of the model and then adapt this algorithm for the task of polyphonic transcription of music using labeled training data. The performance of the system is compared to that of existing discriminative and model-based approaches on a dataset of solo piano music.