Manifold-aligned Neighbor Embedding

Mohammad Tariqul Islam, Jason W. Fleischer

Keywords: UMAP, manifold alignement

TL;DR: It describes neighbor embedding based manifold alignment method.

Abstract: In this paper, we introduce a neighbor embedding framework for manifold alignment. We demonstrate the efficacy of the framework using a manifold-aligned version of the uniform manifold approximation and projection algorithm. We show that our algorithm can learn an aligned manifold that is visually competitive to embedding of the whole dataset.