Sequential Monte Carlo Methods for High-Dimensional Inverse Problems: A Case Study for the Navier--Stokes Equations
From MaRDI portal
Publication:2938453
DOI10.1137/130930364zbMath1308.65010arXiv1307.6127OpenAlexW1973396249MaRDI QIDQ2938453
Ajay Jasra, Nikolas Kantas, Alexandros Beskos
Publication date: 14 January 2015
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6127
Bayesian inference (62F15) Monte Carlo methods (65C05) Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30)
Related Items
An Invitation to Sequential Monte Carlo Samplers ⋮ Calibrate, emulate, sample ⋮ Sequential ensemble transform for Bayesian inverse problems ⋮ On the convergence of adaptive sequential Monte Carlo methods ⋮ A Lagged Particle Filter for Stable Filtering of Certain High-Dimensional State-Space Models ⋮ Unbiased approximation of posteriors via coupled particle Markov chain Monte Carlo ⋮ Convergence acceleration of ensemble Kalman inversion in nonlinear settings ⋮ APIK: Active Physics-Informed Kriging Model with Partial Differential Equations ⋮ Parameterizations for ensemble Kalman inversion ⋮ Efficient real-time monitoring of an emerging influenza pandemic: how feasible? ⋮ Bayesian inversion in resin transfer molding ⋮ Analysis of the Ensemble Kalman Filter for Inverse Problems ⋮ Comparison of regularized ensemble Kalman filter and tempered ensemble transform particle filter for an elliptic inverse problem with uncertain boundary conditions ⋮ Generalized Bayes approach to inverse problems with model misspecification ⋮ Advanced Multilevel Monte Carlo Methods ⋮ Approximate Bayesian Computation for a Class of Time Series Models ⋮ A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters ⋮ A fast particle-based approach for calibrating a 3-D model of the Antarctic ice sheet ⋮ Environmental stress level to model tumor cell growth and survival ⋮ A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation ⋮ A Practical Example for the Non-linear Bayesian Filtering of Model Parameters ⋮ Adaptive regularisation for ensemble Kalman inversion ⋮ Unbiased multi-index Monte Carlo ⋮ Multilevel ensemble Kalman filtering for spatio-temporal processes ⋮ Error Bounds and Normalising Constants for Sequential Monte Carlo Samplers in High Dimensions ⋮ Particle Filtering for Stochastic Navier--Stokes Signal Observed with Linear Additive Noise ⋮ Multilevel sequential Monte Carlo for Bayesian inverse problems ⋮ Sequential Monte Carlo methods for Bayesian elliptic inverse problems ⋮ Bayesian Probabilistic Numerical Methods in Time-Dependent State Estimation for Industrial Hydrocyclone Equipment ⋮ An application of sparse measure valued Bayesian inversion to acoustic sound source identification ⋮ Ensemble sampler for infinite-dimensional inverse problems ⋮ Generalized parallel tempering on Bayesian inverse problems ⋮ Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth ⋮ A stable particle filter for a class of high-dimensional state-space models ⋮ Transform-based particle filtering for elliptic Bayesian inverse problems ⋮ Fokker--Planck Particle Systems for Bayesian Inference: Computational Approaches ⋮ Real-time estimation and prediction of unsteady flows using reduced-order models coupled with few measurements ⋮ Deep composition of tensor-trains using squared inverse Rosenblatt transports ⋮ Sequential Implicit Sampling Methods for Bayesian Inverse Problems