173 citations · 1.2k across the 31 of their papers we have counts for
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An adaptive multi-fidelity PC-based ensemble Kalman inversion for inverse problems
Liang Yan, Tao Zhou
The ensemble Kalman inversion (EKI), as a derivative-free methodology, has been widely used in the parameter estimation of inverse problems. Unfortunately, its cost may become mode…
On energy dissipation theory and numerical stability for time-fractional phase field equations
Tao Tang, Haijun Yu, Tao Zhou
For the time-fractional phase field models, the corresponding energy dissipation law has not been settled on both the continuous level and the discrete level. In this work, we shal…
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
Liang Yan, Tao Zhou
The polynomial chaos (PC) expansion has been widely used as a surrogate model in the Bayesian inference to speed up the Markov chain Monte Carlo (MCMC) calculations. However, the u…
Data-driven polynomial chaos expansions: a weighted least-square approximation
Ling Guo, Yongle Liu, Tao Zhou
In this work, we combine the idea of data-driven polynomial chaos expansions with the weighted least-square approach to solve uncertainty quantification (UQ) problems. The idea of…
A gradient enhanced -minimization for sparse approximation of polynomial chaos expansions
Ling Guo, Akil Narayan, Tao Zhou
We investigate a gradient-enhanced -minimization for constructing sparse polynomial chaos expansions. In addition to function evaluations, measurements of the function grad…
Hermite spectral collocation methods for fractional PDEs in unbounded domains
Tao Tang, Huifang Yuan, Tao Zhou
This work is concerned with spectral collocation methods for fractional PDEs in unbounded domains. The method consists of expanding the solution with proper global basis functions…