4 papers · 1 filter
Structured Kolmogorov-Arnold Neural ODEs for Interpretable Learning and Symbolic Discovery of Nonlinear Dynamics
Wei Liu, Kiran Bacsa, Loon Ching Tang +1
Understanding and modeling nonlinear dynamical systems is a fundamental challenge across science and engineering. Deep learning has shown remarkable potential for capturing complex…
On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators
Wei Liu, Eleni Chatzi, Zhilu Lai
Kolmogorov-Arnold Networks (KANs) approximate multivariate functions by composing univariate transformations through additive or multiplicative aggregation. We establish convergenc…
Causal Convolutional Neural Networks as Finite Impulse Response Filters
Kiran Bacsa, Wei Liu, Xudong Jian +2
This study investigates the behavior of Causal Convolutional Neural Networks (CNNs) with quasi-linear activation functions when applied to time-series data characterized by multimo…
Discussing the Spectrum of Physics-Enhanced Machine Learning; a Survey on Structural Mechanics Applications
Marcus Haywood-Alexander, Wei Liu, Kiran Bacsa +2
The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individu…