Symbolic regression in materials science

Y Wang, N Wagner, JM Rondinelli - MRS Communications, 2019 - cambridge.org
The authors showcase the potential of symbolic regression as an analytic method for use in
materials research. First, the authors briefly describe the current state-of-the-art method …

[HTML][HTML] Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data

H Xu, D Zhang, N Wang - Journal of Computational Physics, 2021 - Elsevier
Data-driven discovery of partial differential equations (PDEs) has attracted increasing
attention in recent years. Although significant progress has been made, certain unresolved …

Bayesian learning of coupled biogeochemical–physical models

A Gupta, PFJ Lermusiaux - Progress in Oceanography, 2023 - Elsevier
Predictive dynamical models for marine ecosystems are used for a variety of needs. Due to
the sparse measurements and limited understanding of the myriad of ocean processes …

A robust framework for identification of PDEs from noisy data

Z Zhang, Y Liu - Journal of Computational Physics, 2021 - Elsevier
Robust physics (eg, governing equations and laws) discovery is of great interest for many
engineering fields and explainable machine learning. A critical challenge compared with …

Parsimony-enhanced sparse Bayesian learning for robust discovery of partial differential equations

Z Zhang, Y Liu - Mechanical Systems and Signal Processing, 2022 - Elsevier
Robust physics discovery is of great interest for many scientific and engineering fields.
Inspired by the principle that a representative model is the simplest one among all possible …

Robust data-driven discovery of partial differential equations under uncertainties

Z Zhang, Y Liu - arXiv preprint arXiv:2102.06504, 2021 - arxiv.org
Robust physics (eg, governing equations and laws) discovery is of great interest for many
engineering fields and explainable machine learning. A critical challenge compared with …

Deep learning discovery of macroscopic governing equations for viscous gravity currents from microscopic simulation data

J Zeng, H Xu, Y Chen, D Zhang - Computational Geosciences, 2023 - Springer
Although deep learning has been successfully applied in a variety of science and
engineering problems owing to its strong high-dimensional nonlinear mapping capability, it …

Data-Driven Functional Materials Design and Discovery

Y Wang - 2021 - search.proquest.com
Functional electronic materials have transformed modern society toward a highly digitized
and interconnected global community. The ever-growing demand for electronic devices with …