Bayesian Filtering with Intractable Likelihood using Sequential MCMC

Abstract : We develop a sequential estimation methodology for a class of non- linear, non-Gaussian state space models in which the observation process is intractable to express in closed form, but trivial to simu- late. In addition we consider models in which the latent state vector and the observation vector are very high dimensional. To overcome these two difficulties we propose the class of Sequential Markov chain Monte Carlo (SMCMC) algorithms in which we incorporate a component of Approximate Bayesian Computation (ABC). In do- ing so we tackle both the curse of dimensionality via the SMCMC and the intractability of the likelihood via the ABC component. We demonstrate how the proposed algorithm outperforms alternative ap- proaches in two challenging state space model examples.
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https://hal-imt.archives-ouvertes.fr/hal-00813176
Contributor : François Septier <>
Submitted on : Monday, April 15, 2013 - 11:17:26 AM
Last modification on : Thursday, October 17, 2019 - 12:35:47 PM

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  • HAL Id : hal-00813176, version 1

Citation

François Septier, Gareth W. Peters, Ido Nevat. Bayesian Filtering with Intractable Likelihood using Sequential MCMC. IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2013, Vancouver, Canada. pp.1-5. ⟨hal-00813176⟩

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