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Deep Nonlinear Non-Gaussian Filtering for Dynamical Systems

Signal Processing 2018-11-21 v1 Machine Learning Machine Learning

Abstract

Filtering is a general name for inferring the states of a dynamical system given observations. The most common filtering approach is Gaussian Filtering (GF) where the distribution of the inferred states is a Gaussian whose mean is an affine function of the observations. There are two restrictions in this model: Gaussianity and Affinity. We propose a model to relax both these assumptions based on recent advances in implicit generative models. Empirical results show that the proposed method gives a significant advantage over GF and nonlinear methods based on fixed nonlinear kernels.

Keywords

Cite

@article{arxiv.1811.05933,
  title  = {Deep Nonlinear Non-Gaussian Filtering for Dynamical Systems},
  author = {Arash Mehrjou and Bernhard Schölkopf},
  journal= {arXiv preprint arXiv:1811.05933},
  year   = {2018}
}
R2 v1 2026-06-23T05:15:39.488Z