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Injective norm of random tensors with independent entries

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arxiv 2412.21193 v2 pith:HD2B7KS7 submitted 2024-12-30 math.PR

classification math.PR
keywords boundentriesindependentnormrandomexpectedinjectivebandeira
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We obtain a non-asymptotic bound for the expected injective norm of a random tensor with independent entries. This bound is similar to the bound by Bandeira and van Handel (2016) for the expected spectral norm of a random matrix with independent entries.

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    math.PR 2025-07 conditional novelty 7.0 of 10

    A lower bound shows balanced multi-species spin glasses have free energy at least that of a single-species model with variance-matched couplings, and this bound is sharp in several regimes.

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