4 papers
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…
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…
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…
Evaluating the Reasoning Abilities of LLMs on Underrepresented Mathematics Competition Problems
Samuel Golladay, Majid Bani-Yaghoub
Understanding the limitations of Large Language Models, or LLMs, in mathematical reasoning has been the focus of several recent studies. However, the majority of these studies use…