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

Author:

Fan Yiming1,D’Elia Marta2ORCID,Yu Yue3,Najm Habib N.4ORCID,Silling Stewart5

Affiliation:

1. Dept. of Mathematics, Lehigh Univ., Bethlehem, PA 18015.

2. Computational Science and Analysis, Sandia National Laboratories, Livermore, CA 94550. ORCID: .

3. Associate Professor, Dept. of Mathematics, Lehigh Univ., Bethlehem, PA 18015 (corresponding author).

4. Senior Scientist, Combustion Research Facility, Sandia National Laboratories, Livermore, CA 94550. ORCID: .

5. Center for Computing Research, Sandia National Laboratories, Albuquerque, NM 87123.

Publisher

American Society of Civil Engineers (ASCE)

Subject

Mechanical Engineering,Mechanics of Materials

Reference61 articles.

1. A tutorial on adaptive MCMC

2. Bensoussan, A., J.-L. Lions, and G. Papanicolaou. 2011. Asymptotic analysis for periodic structures. Boston: American Mathematical Society.

3. Mean field variations in a statistical sample of heterogeneous linearly elastic solids

4. Handbook of Peridynamic Modeling

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