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Sharp Norms from Finite Structure: Graph Matrices and Structured Chaoses

Xu, Huibo et al.
arXiv (OAI Expanded) · Papers
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data-structures-and-algorithmsprobability
Graph matrices encode dependencies in random matrices built from shared random variables and arise in spectral algorithms, sum-of-squares (SoS), and high-dimensional statistics. We determine how finite graph structure controls their sharp spectral growth. For every fixed simple graph shape in the de
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