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Separable Nonnegative Matrix Factorization Using Powered Ratio-of-Norms Regularization

arXiv · AI, language, vision and robotics · article · Aug 28, 2026 · UTC

Separable nonnegative matrix factorization (SNMF) has been widely used for low-rank representation and clustering of nonnegative data, owing to its ability to produce part-based and interpretable decompositions. In particular, SNMF is closely related to graph clustering and community detection. To enhance sparsity and identifiability of the learned factors, we propose an $\ell_1^p/\ell_2$-regularized SNMF model based on a powered ratio-of-norms regularizer. The resulting formulation is nonconvex and nonsmooth, which poses significant challenges for optimization. To address this, we develop eff

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First collected: 2026-09-21T08:02:06.831Z. This is not the publication date.