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Hadamard,R´ esolution d’une question relative aux d´ eterminants, Bull

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The Structure of Extremal Bad Science Matrices

math.FA · 2025-09-11 · conditional · novelty 7.0

For unit-row matrices, the maximal average sup-norm over Rademacher vectors is sqrt(2 log(2n)) - log log(2n)/(2 sqrt(2 log(2n))) + o(1/sqrt(log n)) for explicit Hadamard-based matrices and random sign matrices, with extremizers shown to induce nearly equal-volume, isoperimetrically optimal Voronoi…

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  • The Structure of Extremal Bad Science Matrices math.FA · 2025-09-11 · conditional · none · ref 5

    For unit-row matrices, the maximal average sup-norm over Rademacher vectors is sqrt(2 log(2n)) - log log(2n)/(2 sqrt(2 log(2n))) + o(1/sqrt(log n)) for explicit Hadamard-based matrices and random sign matrices, with extremizers shown to induce nearly equal-volume, isoperimetrically optimal Voronoi…