The Bayesian Formulation and Well-Posedness of Fractional Elliptic Inverse Problems

16 November 2016

Papers citing "The Bayesian Formulation and Well-Posedness of Fractional Elliptic Inverse Problems"

9 / 9 papers shown

Title
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification Yiming Fan M. DÉlia Yue Yu H. Najm Stewart Silling 161 5 0 06 Oct 2022
Error-in-variables modelling for operator learningMathematical and Scientific Machine Learning (MSML), 2022 Ravi G. Patel Indu Manickam Myoungkyu Lee Mamikon A. Gulian 235 4 0 22 Apr 2022
Graph-based Prior and Forward Models for Inverse Problems on Manifolds with BoundariesInverse Problems (IP), 2021 J. Harlim Shixiao W. Jiang Hwanwoo Kim D. Sanz-Alonso 173 9 0 12 Jun 2021
The SPDE Approach to Matérn Fields: Graph RepresentationsStatistical Science (Statist. Sci.), 2020 D. Sanz-Alonso Ruiyi Yang 316 21 0 16 Apr 2020
Data-Driven Forward Discretizations for Bayesian InversionInverse Problems (IP), 2020 Daniele Bigoni Yuming Chen Nicolas García Trillos Youssef Marzouk D. Sanz-Alonso AI4CE 144 11 0 18 Mar 2020
Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds J. Harlim D. Sanz-Alonso Ruiyi Yang 146 24 0 23 Oct 2019
Machine Learning of Space-Fractional Differential Equations Mamikon A. Gulian M. Raissi P. Perdikaris George Karniadakis 233 50 0 02 Aug 2018
On the Consistency of Graph-based Bayesian Learning and the Scalability of Sampling Algorithms Nicolas García Trillos Zachary T. Kaplan Thabo Samakhoana D. Sanz-Alonso 215 22 0 20 Oct 2017
Continuum Limit of Posteriors in Graph Bayesian Inverse Problems Nicolas García Trillos D. Sanz-Alonso 138 31 0 22 Jun 2017