3 papers
stat.ML2026
Missing Data Imputation under Manifold Hypothesis
Zelong Bi, Amuchechukwu Ibenegbu
The manifold hypothesis posits that high-dimensional data are concentrated near a low-dimensional embedded manifold. Recent advances in mixture variational autoencoders (VAEs) prov…
stat.ML2025
Manifold Dimension Estimation via Local Graph Structure
Zelong Bi, Pierre Lafaye de Micheaux
Most existing manifold dimension estimators rely on the assumption that the underlying manifold is locally flat within the neighborhoods under consideration. More recently, curvatu…
cs.LG2025
A Survey and Comparative Evaluation of Intrinsic Dimension Estimators under the Manifold Hypothesis
Zelong Bi, Pierre Lafaye de Micheaux
The manifold hypothesis suggests that high-dimensional data often lie on or near a low-dimensional manifold. Estimating the dimension of this manifold is essential for leveraging i…