26 citations · 99 across the 26 of their papers we have counts for
5 papers · 1 filter
Ensemble-based implicit sampling for Bayesian inverse problems with non-Gaussian priors
Yuming Ba, Lijian Jiang
In the paper, we develop an ensemble-based implicit sampling method for Bayesian inverse problems. For Bayesian inference, the iterative ensemble smoother (IES) and implicit sampli…
An improved implicit sampling for Bayesian inverse problems of multi-term time fractional multiscale diffusion models
Xiaoyan Song, Lijian Jiang, Guanghui Zheng
This paper presents an improved implicit sampling method for hierarchical Bayesian inverse problems. A widely used approach for sampling posterior distribution is based on Markov c…
Bayesian identification of discontinuous fields with an ensemble-based variable separation multiscale method
Na Ou, Guang Lin, Lijian Jiang
This work presents a multiscale model reduction approach to discontinuous fields identification problems in the framework of Bayesian inference. An ensemble-based variable separati…
A Constraint energy minimizing generalized multiscale finite element method for parabolic equations
Mengnan Li, Eric Chung, Lijian Jiang
In this paper, we present a Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for parabolic equations with multiscale coefficients, arising fro…
A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations
Yuming Ba, Lijian Jiang, Na Ou
Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To…