2 papers
cs.LG2025
Atlas-based Manifold Representations for Interpretable Riemannian Machine Learning
Ryan A. Robinett, Sophia A. Madejski, Kyle Ruark +2
Despite the popularity of the manifold hypothesis, current manifold-learning methods do not support machine learning directly on the latent -dimensional data manifold, as they p…
cs.LG2025
Manifold learning and optimization using tangent space proxies
Ryan A. Robinett, Lorenzo Orecchia, Samantha J. Riesenfeld
We present a framework for efficiently approximating differential-geometric primitives on arbitrary manifolds via construction of an atlas graph representation, which leverages the…