6 citations · 11 across the 8 of their papers we have counts for
4 papers · 1 filter
On the expressiveness and spectral bias of KANs
Yixuan Wang, Jonathan W. Siegel, Ziming Liu +1
Kolmogorov-Arnold Networks (KAN) \cite{liu2024kan} were very recently proposed as a potential alternative to the prevalent architectural backbone of many deep learning models, the…
Convergence and error control of consistent PINNs for elliptic PDEs
Andrea Bonito, Ronald DeVore, Guergana Petrova +1
We provide an a priori analysis of collocation methods for solving elliptic boundary value problems. They begin with information in the form of point values of the data and utilize…
Efficient Structure-Informed Featurization and Property Prediction of Ordered, Dilute, and Random Atomic Structures
Adam M. Krajewski, Jonathan W. Siegel, Zi-Kui Liu
Structure-informed materials informatics is a rapidly evolving discipline of materials science relying on the featurization of atomic structures or configurations to construct vect…
Equivariant Frames and the Impossibility of Continuous Canonicalization
Nadav Dym, Hannah Lawrence, Jonathan W. Siegel
Canonicalization provides an architecture-agnostic method for enforcing equivariance, with generalizations such as frame-averaging recently gaining prominence as a lightweight and…