Non-asymptotic Error Bounds for Sequential MCMC and Stability of Feynman-Kac Propagators

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, Equations of state calculations by fast computing machines

1953

Earlier work this paper cites.

E. B. Davies, Heat kernels and spectral theory

1990

Earlier work this paper cites.

J.-D. Deuschel and D. W. Stroock, Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models

1990

Earlier work this paper cites.

N. Gordon, D. Salmond and A. Smith, Novel approach to nonlinear/non-Gaussian Bayesian state estimation

1993

Earlier work this paper cites.

P. Del Moral, Nonlinear filtering: interacting particle solution

1996

Earlier work this paper cites.

C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto and G. Scheffer, Sur les inégalités de Sobolev logarithmiques

2000

Earlier work this paper cites.

P. Del Moral and L. Miclo, Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to nonlinear filtering

2000

Earlier work this paper cites.

J. Liu, Monte Carlo strategies in scientific computing

2001

Cited alongside, same era.

R. M. Neal, Annealed importance sampling

2001

Cited alongside, same era.

N. Chopin, Central Limit Theorem for Sequential Monte Carlo methods and its application to Bayesian inference

2004

Cited alongside, same era.

P. Del Moral, Feynman-Kac Formulae

2004

Cited alongside, same era.

R. Douc, E. Moulines and J. S. Rosenthal, Quantitative bounds on convergence of time-inhomogeneous Markov chains

2004

Cited alongside, same era.

O. Cappé, E. Moulines and T. Rydén, Inference in Hidden Markov Models

2005

Cited alongside, same era.

P. Del Moral, A. Doucet and A. Jasra, Sequential Monte Carlo Samplers

2006

Later among the works it cites.

R. Douc and E. Moulines, Limit theorems for weighted samples with applications to Sequential Monte Carlo Methods

2008

Later among the works it cites.

A. Eberle and C. Marinelli, L p L^{p} estimates for Feynman-Kac propagators with time-dependent reference measures

2010

Later among the works it cites.

F. Cérou, P. Del Moral and A. Guyader, A nonasymptotic variance theorem for unnormalized Feynman-Kac particle models

2011

Later among the works it cites.

N. Schweizer, Non-asymptotic Error Bounds for Sequential MCMC Methods

2011

Later among the works it cites.

N. Whiteley, Sequential Monte Carlo samplers: error bounds and insensitivity to initial conditions