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math.NA2026
Two-scale Neural Networks for Singularly Perturbed Dynamical Systems with Multiple Parameters
Qiao Zhuang, Taorui Wang, Rita Wanjiku +2
We extend our two-scale neural-network method for scalar singularly perturbed problems with one small parameter to dynamical systems with multiple small parameters. To accommodate…
math.NA2026
On the Limits of Interpretable Machine Learning in Quintic Root Classification
Rohan Thomas, Majid Bani-Yaghoub
Can Machine Learning (ML) autonomously recover interpretable mathematical structure from raw numerical data? We aim to answer this question using the classification of real-root co…
math.NA2026
Sparse Identification of Nonlinear Distributed-Delay Dynamics via the Linear Chain Trick
Mohammed Alanazi, Majid Bani-Yaghoub
The Sparse Identification of Nonlinear Dynamics (SINDy) framework has been frequently used to discover parsimonious differential equations governing natural and physical systems. T…