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Volume 6, 2025 / Issue 2

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Table of Contents:

NEURAL NETWORKS WITH TRAINABLE MATRIX ACTIVATION FUNCTIONS Zhengqi Liu, Shuhao Cao, Yuwen Li, Ludmil Zikatanov

Zhengqi Liu
Penn state university

Shuhao Cao
School of Science and Engineering, University of Missouri–Kansas City, Kansas City, MO 64110, USA

Yuwen Li
School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang 310058, China

Ludmil Zikatanov
The Pennsylvania State University

1-11 pages
DOI: 10.1615/JMachLearnModelComput.2024056966

TRANSFER LEARNING ON MULTI-DIMENSIONAL DATA: A NOVEL APPROACH TO NEURAL NETWORK-BASED SURROGATE MODELING Adrienne M. Propp, Daniel M. Tartakovsky

Adrienne M. Propp
Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA 94305, USA

Daniel M. Tartakovsky
Department of Energy Science & Engineering, Engineering, Stanford University, 367 Panama St., Stanford, CA 94305, USA

13-27 pages
DOI: 10.1615/JMachLearnModelComput.2024057138

CHEBYSHEV FEATURE NEURAL NETWORK FOR ACCURATE FUNCTION APPROXIMATION Zhongshu Xu, Yuan Chen, Dongbin Xiu

Zhongshu Xu
Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA

Yuan Chen
Ohio State University

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

29-42 pages
DOI: 10.1615/JMachLearnModelComput.2025056536

STRATOSPHERIC AEROSOL SOURCE INVERSION: NOISE, VARIABILITY, AND UNCERTAINTY QUANTIFICATION Joseph Hart, I. Manickam, Mamikon Gulian, Laura P. Swiler, D. Bull, T. Ehrmann, H. Brown, B. Wagman, J. Watkins

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

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

Mamikon Gulian
Sandia National Laboratories

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

D. Bull
Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320

T. Ehrmann
Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320

H. Brown
Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320; Department of Atmospheric Science, University of Wyoming, Laramie, Wyoming, 82071

B. Wagman
Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87123-1320

J. Watkins
Sandia National Laboratories, PO Box 969, Livermore, California 94551-0969

43-75 pages
DOI: 10.1615/JMachLearnModelComput.2024056144

TIME-SERIES FORECASTING AND REFINEMENT WITHIN A MULTIMODAL PDE FOUNDATION MODEL Derek Jollie, Jingmin Sun, Zecheng Zhang, Hayden Schaeffer

Derek Jollie
Department of Mathematics,Montana State University, Bozeman, Montana 59717, USA

Jingmin Sun
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

Zecheng Zhang
Department of Mathematics, Florida State University, Tallahassee, Florida 32304, USA

Hayden Schaeffer
Department of Mathematics, University of California, Los Angeles, California 90095, USA

77-89 pages
DOI: 10.1615/JMachLearnModelComput.2025057618

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