Smoothness
2 long-form posts on Smoothness: machine-learning research by Taha Bouhsine, each built around live, in-browser interactive visualizations.
-
What Can a Weight Be?
A kernel is a spectral price list: it decides which functions are affordable, and regularization sets the budget. Compare Sobolev, Gaussian, spherical, and finite examples, then connect their eigenvalues to kernel ridge shrinkage and effective dimension.
-
A Kernel's Price List, in JAX
Construct valid periodic kernel spectra, audit truncated RKHS norms for convergence, then solve kernel ridge regression and read regularization as spectral shrinkage, effective dimension, and a measured generalization curve.