Archive Files

Volume 4, 2023 / Issue 2

DOI: 10.1615/JMachLearnModelComput.v4.i2

Table of Contents:

ChatGPT FOR PROGRAMMING NUMERICAL METHODS Ali Kashefi, Tapan Mukerji

Ali Kashefi
Department of Civil & Environmental Engineering, Stanford University, Stanford, California, 94305 USA

Tapan Mukerji
Department of Energy Science & Engineering, Stanford University, Stanford, California, 94305 USA

1-74 pages
DOI: 10.1615/JMachLearnModelComput.2023048492

THE ROLE OF STIFFNESS IN TRAINING AND GENERALIZATION OF RESNETS Joshua Hudson, Marta D'Elia, Habib N. Najm, Khachik Sargsyan

Joshua Hudson
Sandia National Laboratories, Livermore, California 94551, USA

Marta D'Elia
Sandia National Laboratories, Livermore, California 94551, USA

Habib N. Najm
Sandia National Laboratories, P.O. Box 969, MS 9051, Livermore, CA 94551, USA

Khachik Sargsyan
Sandia National Laboratories, Livermore, California 94551, USA

75-103 pages
DOI: 10.1615/JMachLearnModelComput.2023047131

SOLVING HIGH-DIMENSIONAL INVERSE PROBLEMS WITH AUXILIARY UNCERTAINTY VIA OPERATOR LEARNING WITH LIMITED DATA Joseph Hart, Mamikon Gulian, I. Manickam, Laura P. Swiler

Joseph Hart
Sandia National Laboratories, Albuquerque, New Mexico, 87185, USA

Mamikon Gulian
Sandia National Laboratories

I. Manickam
Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320, USA

Laura P. Swiler
Optimization and Uncertainty Quantification Department, Center for Computing Research, Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320, USA

105-133 pages
DOI: 10.1615/JMachLearnModelComput.2023048105

ASSESSING ChatGPT FOR CODING FINITE ELEMENT METHODS Giuseppe Orlando

Giuseppe Orlando
MOX-Dipartimento di Matematica, Politecnico di Milano, Milan 20133, Italy

135-171 pages
DOI: 10.1615/JMachLearnModelComput.2023049326

FLOW MAP LEARNING FOR UNKNOWN DYNAMICAL SYSTEMS: OVERVIEW, IMPLEMENTATION, AND BENCHMARKS Victor Churchill, Dongbin Xiu

Victor Churchill
Department of Mathematics, Trinity College, Hartford, Connecticut 06106, USA

Dongbin Xiu
Department of Mathematics, The Ohio State University, Columbus, 43210 Ohio, USA

173-201 pages
DOI: 10.1615/JMachLearnModelComput.2023049717

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