103 citations · 268 across the 27 of their papers we have counts for
4 papers · 1 filter
The decomposition of the higher-order homology embedding constructed from the -Laplacian
Yu-Chia Chen, Marina Meilă
The null space of the -th order Laplacian , known as the {\em -th homology vector space}, encodes the non-trivial topology of a manifold or a network.…
Distribution free optimality intervals for clustering
Marina Meilă, Hanyu Zhang
We address the problem of validating the ouput of clustering algorithms. Given data and a partition of these data into clusters, when can we say tha…
A class of network models recoverable by spectral clustering
Yali Wan, Marina Meila
Finding communities in networks is a problem that remains difficult, in spite of the amount of attention it has recently received. The Stochastic Block-Model (SBM) is a generative…
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 elegantly generalizes the Laplace-Beltrami operator to vector fields on a manifold . In this work, we propose the…