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cs.CE2026
Making Gaussian Kolmogorov-Arnold Networks Reliable and Accurate
Amir Noorizadegan, Sifan Wang, Leevan Ling
Kolmogorov-Arnold Networks (KANs) replace fixed activations with learnable univariate edge functions whose behavior depends strongly on the chosen basis. Gaussian radial basis func…
math.NA2026
An Adaptive Lagrangian B-Spline Framework for Point Cloud Manifold Evolution
Muhammad Ammad, Leevan Ling
We extend our recent curve-evolution framework based on localized B-spline interpolation to present an adaptive Lagrangian framework for the geometric evolution of point-cloud data…
math.NA2026
B-spline-Based ALE-MFS Framework for Evolving Domains
Muhammad Ammad, Leevan Ling, Shu Ma
We develop and analyze a B-spline based arbitrary Lagrangian-Eulerian method of fundamental solutions (ALE-MFS) for curvature-driven motion of two-dimensional evolving domains. Bou…