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math.PR2026
Universality and sharp thresholds for ellipsoid fitting
Frederic Koehler, Youngtak Sohn
We establish a sharp phase transition for fitting random vectors by an ellipsoid. The random vectors have independent subgaussian coordinates with mean zero, variance one, and a co…
math.ST2026
Low-degree estimation thresholds in planted hypergraphs and tensor PCA
Daniel Fu, Youngtak Sohn
A central question in high-dimensional statistics is to understand statistical--computational gaps: regimes in which recovering a hidden signal is information-theoretically possibl…