2021
The decomposition of the higher-order homology embedding constructed from the $k$-Laplacian
NeurIPS 2021oral
The null space of the $k$-th order Laplacian $\mathbf{\mathcal L}_k$, known as the {\em $k$-th homology vector space}, encodes the non-trivial topology of a manifold or a network. Understanding the structure of the homology embedding can thus disclose geometric or topological information from the da…