State estimation and prediction using clustered particle filters

Abstract

Particle filtering is an essential tool for the estimation and prediction of complex systems including non-Gaussian features. A class of particle filters, clustered particle filters, is introduced for high-dimensional dynamical systems such as geophysical systems. The proposed method uses relatively few particles compared with the standard particle filter and captures the non-Gaussian features of the true signal, which are typical in complex nonlinear systems. The method is also robust for the difficult regime of high-quality sparse and infrequent observations and does not show any filter divergence in our tests. In the clustered particle filter, coarse-grained localization is implemented through the clustering of state variables and particles are adjusted to stabilize the filter.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 05, 2016
Source ID
10.1073/pnas.1617398113

Entities

People

  • Andrew J. Majda
  • Yoonsang Lee

Organizations

  • New York University
  • Office of Naval Research

Tags

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum Chemistry