269 citations · 3k across the 82 of their papers we have counts for
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Successive Nonnegative Projection Algorithm for Robust Nonnegative Blind Source Separation
Nicolas Gillis
In this paper, we propose a new fast and robust recursive algorithm for near-separable nonnegative matrix factorization, a particular nonnegative blind source separation problem. T…
Hierarchical Clustering of Hyperspectral Images using Rank-Two Nonnegative Matrix Factorization
Nicolas Gillis, Da Kuang, Haesun Park
In this paper, we design a hierarchical clustering algorithm for high-resolution hyperspectral images. At the core of the algorithm, a new rank-two nonnegative matrix factorization…
Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization
Nicolas Gillis, Stephen A. Vavasis
Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful tech…
Robust Near-Separable Nonnegative Matrix Factorization Using Linear Optimization
Nicolas Gillis, Robert Luce
Nonnegative matrix factorization (NMF) has been shown recently to be tractable under the separability assumption, under which all the columns of the input data matrix belong to the…