Central limit theorems for the eigenvalues of graph Laplacians on data clouds

Chenghui Li, Nicolás García Trillos, Housen Li +1

Given i.i.d.\ samples $X_n=\{x_1,\dots ,x_n\}$ from a distribution supported on a low dimensional manifold $M$ embedded in Eucliden space, we consider the graph Laplacian ope…