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most citedSpectral Phase Transition and Optimal PCA in Block-Structured Spiked models

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math.PR2026

One-sided large deviations for the ground-state energy of spin glasses

Hong-Bin Chen, Alice Guionnet, Justin Ko +2

We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…