Curvature Augmented Manifold Embedding and Learning

arXiv:2403.14813v1 Announce Type: cross
Abstract: A new dimensional reduction (DR) and data visualization method, Curvature-Augmented Manifold Embedding and Learning (CAMEL), is proposed. The key novel contribution is to formulate the DR problem as a mechanistic/physics model, where the force field among nodes (data points) is used to find an n-dimensional manifold representation of the data sets. Compared with many existing attractive-repulsive force-based methods, one unique contribution of the proposed method is to include a non-pairwise force. A new force field …

arxiv cs.hc cs.lg embedding manifold stat.ml type