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New Convex Programming Method Finds Dense Submatrices in Complex Networks

Researchers have developed a new method using convex programming to identify dense submatrices within larger matrices that contain multiple such dense regions. This approach extends previous work, which typically focused on matrices with only one hidden dense submatrix. The new technique is designed to handle more realistic scenarios found in complex networks and real-world data, such as collaboration and communication networks. Numerical experiments have empirically validated the theoretical findings regarding perfect recovery under various conditions. AI

IMPACT This research advances techniques for analyzing complex network data, potentially improving AI's ability to find patterns in large, noisy datasets.

RANK_REASON The item is an academic paper published on arXiv detailing a new method for a combinatorial optimization problem. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

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New Convex Programming Method Finds Dense Submatrices in Complex Networks

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  1. arXiv cs.LG TIER_1 English(EN) · Valentine Olanubi (University of Alabama, Department of Mathematics), Phineas Agar (University of Alabama, Department of Mathematics), Brendan Ames (University of Southampton, School of Mathematical Sciences) ·

    Provably Finding a Hidden Dense Submatrix among Many Planted Dense Submatrices via Convex Programming

    arXiv:2601.03946v3 Announce Type: replace-cross Abstract: We consider the densest submatrix problem, which seeks the submatrix of fixed size of a given binary matrix that contains the most nonzero entries. This problem is a natural generalization of fundamental problems in combin…