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This document discusses the Non-negative Matrix Factorization (NMF) problem, focusing on the case where an n × n non-negative rank-K matrix has negative eigenvalues. The authors present new results that extend existing knowledge on when the NMF problem is solvable, particularly in the context of network modeling, and explore the relationship between rank-K models and the Degree-Corrected Mixed-Membership (DCMM) model. The findings are significant for understanding community structures in networks and improv

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gzheng0303

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EN