3 papers
stat.ML2026
Mirror Descent on Riemannian Manifolds
Jiaxin Jiang, Lei Shi, Jiyuan Tan
Mirror Descent (MD) is a scalable first-order method widely used in large-scale optimization, with applications in image processing, policy optimization, and neural network trainin…
stat.ML2024
Diffusion-based Semi-supervised Spectral Algorithm for Regression on Manifolds
Weichun Xia, Jiaxin Jiang, Lei Shi
We introduce a novel diffusion-based spectral algorithm to tackle regression analysis on high-dimensional data, particularly data embedded within lower-dimensional manifolds. Tradi…
stat.ML2024
Spectral Algorithms on Manifolds through Diffusion
Weichun Xia, Lei Shi
The existing research on spectral algorithms, applied within a Reproducing Kernel Hilbert Space (RKHS), has primarily focused on general kernel functions, often neglecting the inhe…