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math.PR2026
Sharp Phase Transition for Ellipsoid Fitting
Sofia de la Cerda, Aaron Potechin, Madhur Tulsiani +1
We resolve the ellipsoid fitting conjecture of Saunderson, Chandrasekaran, Parrilo, and Willsky up to a vanishing factor. Concretely, for independent Gaussian points in dimensi…
math.PR2023
Ellipsoid Fitting Up to a Constant
Jun-Ting Hsieh, Pravesh K. Kothari, Aaron Potechin +1
In [Sau11,SPW13], Saunderson, Parrilo and Willsky asked the following elegant geometric question: what is the largest such that there is an ellipsoid in th…