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1611.05475
Cited By

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

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

16 November 2016

Nicolas García Trillos

ArXiv (abs)PDF HTML

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

9 / 9 papers shown

Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning
Framework of Nonlocal Models with Uncertainty Quantification

Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification

Stewart Silling

165

6

0

06 Oct 2022

Error-in-variables modelling for operator learning

Error-in-variables modelling for operator learningMathematical and Scientific Machine Learning (MSML), 2022

Mamikon A. Gulian

248

4

0

22 Apr 2022

Graph-based Prior and Forward Models for Inverse Problems on Manifolds
with Boundaries

Graph-based Prior and Forward Models for Inverse Problems on Manifolds with BoundariesInverse Problems (IP), 2021

Shixiao W. Jiang

187

9

0

12 Jun 2021

The SPDE Approach to Matérn Fields: Graph Representations

The SPDE Approach to Matérn Fields: Graph RepresentationsStatistical Science (Statist. Sci.), 2020

337

21

0

16 Apr 2020

Data-Driven Forward Discretizations for Bayesian Inversion

Data-Driven Forward Discretizations for Bayesian InversionInverse Problems (IP), 2020

Nicolas García Trillos

Youssef Marzouk

159

11

0

18 Mar 2020

Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds

Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds

150

24

0

23 Oct 2019

Machine Learning of Space-Fractional Differential Equations

Machine Learning of Space-Fractional Differential Equations

Mamikon A. Gulian

George Karniadakis

241

51

0

02 Aug 2018

On the Consistency of Graph-based Bayesian Learning and the Scalability
of Sampling Algorithms

On the Consistency of Graph-based Bayesian Learning and the Scalability of Sampling Algorithms

Nicolas García Trillos

Zachary T. Kaplan

Thabo Samakhoana

219

23

0

20 Oct 2017

Continuum Limit of Posteriors in Graph Bayesian Inverse Problems

Continuum Limit of Posteriors in Graph Bayesian Inverse Problems

Nicolas García Trillos

148

31

0

22 Jun 2017