32 citations · 183 across the 54 of their papers we have counts for
4 papers · 1 filter
A Variational Inference Approach to Inverse Problems with Gamma Hyperpriors
Shiv Agrawal, Hwanwoo Kim, Daniel Sanz-Alonso +1
Hierarchical models with gamma hyperpriors provide a flexible, sparse-promoting framework to bridge and regularizations in Bayesian formulations to inverse problems. De…
Finite Element Representations of Gaussian Processes: Balancing Numerical and Statistical Accuracy
Daniel Sanz-Alonso, Ruiyi Yang
The stochastic partial differential equation approach to Gaussian processes (GPs) represents Matérn GP priors in terms of finite element basis functions and Gaussian coefficien…
Auto-differentiable Ensemble Kalman Filters
Yuming Chen, Daniel Sanz-Alonso, Rebecca Willett
Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is part…
Graph-based Prior and Forward Models for Inverse Problems on Manifolds with Boundaries
John Harlim, Shixiao Jiang, Hwanwoo Kim +1
This paper develops manifold learning techniques for the numerical solution of PDE-constrained Bayesian inverse problems on manifolds with boundaries. We introduce graphical Matérn…