2 papers
stat.ML2025
Local Averaging Accurately Distills Manifold Structure From Noisy Data
Yihan Shen, Shiyu Wang, Arnaud Lamy +2
High-dimensional data are ubiquitous, with examples ranging from natural images to scientific datasets, and often reside near low-dimensional manifolds. Leveraging this geometric s…
cs.LG2025
Fast, Accurate Manifold Denoising by Tunneling Riemannian Optimization
Shiyu Wang, Mariam Avagyan, Yihan Shen +5
Learned denoisers play a fundamental role in various signal generation (e.g., diffusion models) and reconstruction (e.g., compressed sensing) architectures, whose success derives f…