Author

Pierre Mergny

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Preprint Aug 2026

Spectral phase transitions in Gaussian multi-index models

It is proved that the AMP-derived preprocessing of [Defilippis et al., 2025] is optimal among all bounded matrix-valued preprocessing maps of any fixed dimension and the general spectral conjecture of [Defilippis et al., 2025] is proved.

Florent Krzakala, Pierre Mergny, Vanessa Piccolo · 0 citations