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Title: Multilevel Sequential Monte Carlo with Dimension-Independent Likelihood-Informed Proposals

Journal Article · · SIAM/ASA Journal on Uncertainty Quantification
DOI:https://doi.org/10.1137/17m1120993· OSTI ID:1541726

Not provided.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0009297
OSTI ID:
1541726
Journal Information:
SIAM/ASA Journal on Uncertainty Quantification, Vol. 6, Issue 2; ISSN 2166-2525
Publisher:
SIAM
Country of Publication:
United States
Language:
English

References (28)

Sequential Monte Carlo methods for Bayesian elliptic inverse problems journal June 2015
Geometric MCMC for infinite-dimensional inverse problems journal April 2017
Multilevel sequential Monte Carlo samplers journal May 2017
Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems journal December 2014
Accelerated Dimension-Independent Adaptive Metropolis journal January 2016
MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster journal August 2013
Dimension-independent likelihood-informed MCMC journal January 2016
Likelihood-informed dimension reduction for nonlinear inverse problems journal October 2014
Sequential Monte Carlo samplers journal June 2006
Multilevel sequential Monte Carlo: Mean square error bounds under verifiable conditions journal December 2016
Multilevel Monte Carlo Path Simulation journal June 2008
Multilevel Ensemble Transform Particle Filtering journal January 2016
Monte Carlo Complexity of Global Solution of Integral Equations journal June 1998
Multilevel ensemble Kalman filtering journal January 2016
Complexity analysis of accelerated MCMC methods for Bayesian inversion journal July 2013
Forward and Inverse Uncertainty Quantification Using Multilevel Monte Carlo Algorithms for an Elliptic Nonlocal Equation journal January 2016
Inference for Lévy-Driven Stochastic Volatility Models via Adaptive Sequential Monte Carlo: Lévy-driven stochastic volatility journal December 2010
Weighted Subspace Distance and Its Applications to Object Recognition and Retrieval With Image Sets journal March 2009
Rates of convergence of the Hastings and Metropolis algorithms journal February 1996
Unbiased Estimation with Square Root Convergence for SDE Models journal October 2015
On a Generalization of the Preconditioned Crank–Nicolson Metropolis Algorithm journal November 2016
Optimal Low-rank Approximations of Bayesian Linear Inverse Problems journal January 2015
Inverse problems: A Bayesian perspective journal May 2010
Multilevel Sequential Monte Carlo Samplers for Normalizing Constants journal July 2017
On the stability of sequential Monte Carlo methods in high dimensions journal August 2014
Uncertainty quantification and weak approximation of an elliptic inverse problem preprint January 2011
Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model preprint January 2013
Geometric MCMC for Infinite-Dimensional Inverse Problems text January 2016

Cited By (5)

Transform-based particle filtering for elliptic Bayesian inverse problems journal October 2019
Transform-based particle filtering for elliptic Bayesian inverse problems text January 2019
Multilevel Sequential2 Monte Carlo for Bayesian inverse problems journal September 2018
Markov chain simulation for multilevel Monte Carlo journal January 2021
Data-Free Likelihood-Informed Dimension Reduction of Bayesian Inverse Problems text January 2021

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