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cs.LG2025
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…
cs.LG2025
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…
cs.LG2025
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…