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Kullback-Leibler Principal Component for Tensors is not NP-hard
Kejun Huang, Nicholas D. Sidiropoulos
We study the problem of nonnegative rank-one approximation of a nonnegative tensor, and show that the globally optimal solution that minimizes the generalized Kullback-Leibler dive…
On Convergence of Epanechnikov Mean Shift
Kejun Huang, Xiao Fu, Nicholas D. Sidiropoulos
Epanechnikov Mean Shift is a simple yet empirically very effective algorithm for clustering. It localizes the centroids of data clusters via estimating modes of the probability dis…
On Identifiability of Nonnegative Matrix Factorization
Xiao Fu, Kejun Huang, Nicholas D. Sidiropoulos
In this letter, we propose a new identification criterion that guarantees the recovery of the low-rank latent factors in the nonnegative matrix factorization (NMF) model, under mil…