Deconstructing Kolmogorov-Arnold Networks (KANs)
Explore the mathematical theory of splines on edges, pure PyTorch implementations, and benchmarks scaling KANs versus MLPs.
Part 1
The Mathematics
Moving from the Kolmogorov-Arnold Representation Theorem to the mechanics of B-Splines and edge functions.
Part 2
PyTorch Implementation
Building a highly optimized 1D KAN layer calculating B-spline curves natively
on the GPU.
View Code on GitHub
Part 3
Scaling & Benchmarks
Evaluating parameter efficiency and performance of KANs against traditional MLPs on complex symbolic regression tasks.