269 citations · 3k across the 82 of their papers we have counts for
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Robustness Analysis of Hottopixx, a Linear Programming Model for Factoring Nonnegative Matrices
Nicolas Gillis
Although nonnegative matrix factorization (NMF) is NP-hard in general, it has been shown very recently that it is tractable under the assumption that the input nonnegative data mat…
Fast and Robust Recursive Algorithms for Separable Nonnegative Matrix Factorization
Nicolas Gillis, Stephen A. Vavasis
In this paper, we study the nonnegative matrix factorization problem under the separability assumption (that is, there exists a cone spanned by a small subset of the columns of the…
Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing
Nicolas Gillis
Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based…
Two Algorithms for Orthogonal Nonnegative Matrix Factorization with Application to Clustering
Filippo Pompili, Nicolas Gillis, P. -A. Absil +1
Approximate matrix factorization techniques with both nonnegativity and orthogonality constraints, referred to as orthogonal nonnegative matrix factorization (ONMF), have been rece…