2 papers
math.OC2025
Revisit First-order Methods for Geodesically Convex Optimization
Yunlu Shu, Jiaxin Jiang, Lei Shi +1
In a seminal work of Zhang and Sra, gradient descent methods for geodesically convex optimization were comprehensively studied. In particular, Zhang and Sra derived a comparison in…
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…