A new locally linear embedding scheme in light of Hessian eigenmap

no code implementations • 16 Dec 2021 • Liren Lin, Chih-Wei Chen

We provide a new interpretation of Hessian locally linear embedding (HLLE), revealing that it is essentially a variant way to implement the same idea of locally linear embedding (LLE).

Avoiding unwanted results in locally linear embedding: A new understanding of regularization

no code implementations • 28 Aug 2021 • Liren Lin

We demonstrate that locally linear embedding (LLE) inherently admits some unwanted results when no regularization is used, even for cases in which regularization is not supposed to be needed in the original algorithm.