Can local particle filters beat the curse of dimensionality?

Dobrushin, R. L.R. L., Kryukov, V. I.V. I. andToom, A. L.A. L., eds. (1990). Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis. Manchester Univ. Press, Manchester

1990

Earlier work this paper cites.

Lebowitz, Joel L.J. L., Maes, ChristianC. andSpeer, Eugene R.E. R. (1990). Statistical mechanics of probabilistic cellular automata. J. Stat. Phys. 59 117–170

1990

Earlier work this paper cites.

Blank, MichaelM. (1997). Discreteness and Continuity in Problems of Chaotic Dynamics. Translations of Mathematical Monographs 161. Amer. Math. Soc., Providence, RI

1997

Earlier work this paper cites.

Del Moral, PierreP. andGuionnet, AliceA. (2001). On the stability of interacting processes with applications to filtering and genetic algorithms. Ann. Inst. Henri Poincaré Probab. Stat. 37 155–194

2001

Earlier work this paper cites.

Tatikonda, Sekhar C.S. C. andJordan, Michael I.M. I. (2002). Loopy belief propagation and Gibbs measures. In Proceedings of the Eighteenth Conference on Uncertainty in Artificial Intelligence 493–500. Morgan Kaufmann, San Francisco, CA

2002

Earlier work this paper cites.

Martinelli, FabioF. (2004). Relaxation times of Markov chains in statistical mechanics and combinatorial structures. In Probability on Discrete Structures. Encyclopaedia Math. Sci. 110 175–262. Springer, Berlin

2004

Earlier work this paper cites.

Cappé, OlivierO., Moulines, EricE. andRydén, TobiasT. (2005). Inference in Hidden Markov Models. Springer, New York

2005

Earlier work this paper cites.

Apte, A.A., Jones, C. K. R. T.C. K. R. T., Stuart, A. M.A. M. andVoss, J.J. (2008). Data assimilation: Mathematical and statistical perspectives. Internat. J. Numer. Methods Fluids 56 1033–1046

2008

Cited alongside, same era.

Bickel, PeterP., Li, BoB. andBengtsson, ThomasT. (2008). Sharp failure rates for the bootstrap particle filter in high dimensions. In Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh. Inst. Math. Stat. Collect. 3 318–329. IMS, Beachwood, OH

2008

Cited alongside, same era.

Snyder, ChrisC., Bengtsson, ThomasT., Bickel, PeterP. andAnderson, JeffJ. (2008). Obstacles to high-dimensional particle filtering. Mon. Weather Rev. 136 4629–4640

2008

Cited alongside, same era.

van Leeuwen, P. J.P. J. (2009). Particle filtering in geophysical systems. Mon. Weather Rev. 137 4089–4114

Original

2009

Cited alongside, same era.

Law, K. J. H.K. J. H. andStuart, A. M.A. M. (2012). Evaluating data assimilation algorithms. Mon. Weather Rev. 140 3757–3782

2012

Later among the works it cites.

Majda, Andrew J.A. J. andHarlim, JohnJ. (2012). Filtering Complex Turbulent Systems. Cambridge Univ. Press, Cambridge

2012

Later among the works it cites.

Beskos, AlexandrosA., Crisan, DanD., Jasra, AjayA. andWhiteley, NickN. (2014). Error bounds and normalizing constants for sequential Monte Carlo in high dimensions. Adv. Appl. Probab

2014

Closest in time.

Rebeschini, PatrickP. andvan Handel, RamonR. (2014). Phase transitions in nonlinear filtering. Preprint. Available at \arxivurl

Original

2014

Closest in time.

Rebeschini, PatrickP. andvan Handel, RamonR. (2014). Comparison theorems for Gibbs measures. Preprint. Available at \arxivurl

Original