Helmholtzian Eigenmap: Topological feature discovery & edge flow learning from point cloud data

Yu-Chia Chen, Weicheng Wu, Marina Meilă +1

The manifold Helmholtzian (1-Laplacian) operator ${\Delta }_1$ elegantly generalizes the Laplace-Beltrami operator to vector fields on a manifold $\mathcal{M}$. In this work, we propose the…