Nonnegative matrix factorizations and related compositional models: Equivalence, identifiability, and an application on the grain-size analysis of sediments

arXiv:2512.22282 · stat.ML, cs.LG, math.OC, math.ST, stat.TH · Submitted 2025-12-25 · Read on arXiv

stat.ML, cs.LG, math.OC, math.ST, stat.TH

Submitted: 2025-12-25

Updated: 2026-09-15

Code: https://github.com/qianqianqi28/review

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Objective Function — 12× in this paper · explained in 2 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Sparsity — 4× in this paper · explained in 4 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Provenance — 1× in this paper · explained in 4 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

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