Deep Variational Sequential Monte Carlo for High-Dimensional Observations

Wessel L. van Nierop, Nir Shlezinger, Ruud J. G. van Sloun
1/10/2025
cs.LGeess.SP

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Abstract

Sequential Monte Carlo (SMC), or particle filtering, is widely used in nonlinear state-space systems, but its performance often suffers from poorly approximated proposal and state-transition distributions. This work introduces a differentiable particle filter that leverages the unsupervised variational SMC objective to parameterize the proposal and transition distributions with a neural network, designed to learn from high-dimensional observations. Experimental results demonstrate that our approach outperforms established baselines in tracking the challenging Lorenz attractor from high-dimensional and partial observations. Furthermore, an evidence lower bound based evaluation indicates that our method offers a more accurate representation of the posterior distribution.

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Cite this paper

@article{nierop2025deep,
  title  = {Deep Variational Sequential Monte Carlo for High-Dimensional Observations},
  author = {Wessel L. van Nierop and Nir Shlezinger and Ruud J. G. van Sloun},
  year   = {2025},
  eprint = {2501.05982},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2501.05982v1}
}

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