Structured Inference Networks for Nonlinear State Space Models. Krishnan, R. G., Shalit, U., & Sontag, D. In Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence, pages 2101-2109, 2017.
Structured Inference Networks for Nonlinear State Space Models [pdf]Paper  abstract   bibtex   3 downloads  
Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified algorithm to efficiently learn a broad class of linear and non-linear state space models, including variants where the emission and transition distributions are modeled by deep neural networks. Our learning algorithm simultaneously learns a compiled inference network and the generative model, leveraging a structured variational approximation parameterized by recurrent neural networks to mimic the posterior distribution. We apply the learning algorithm to both synthetic and real-world datasets, demonstrating its scalability and versatility. We find that using the structured approximation to the posterior results in models with significantly higher held-out likelihood.

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