3 papers
math.ST2025
Neumann eigenmaps for landmark embedding
Shashank Sule, Wojciech Czaja
We present Neumann eigenmaps (NeuMaps), a novel approach for enhancing the standard diffusion map embedding using landmarks, i.e distinguished samples within the dataset. By interp…
q-bio.QM2025
Input layer regularization and automated regularization hyperparameter tuning for myelin water estimation using deep learning
Mirage Modi, Shashank Sule, Jonathan Palumbo +4
We propose a novel deep learning method which combines classical regularization with data augmentation for estimating myelin water fraction (MWF) in the brain via biexponential ana…
math.CA2020
Sobolev Orthogonal Polynomials on the Sierpinski Gasket
Qingxuan Jiang, Tian Lan, Kasso Okoudjou +4
We develop a theory of Sobolev orthogonal polynomials on the Sierpiński gasket (). These orthogonal polynomials arise through the Gram-Schmidt orthogonalisation process applied…