Full-batch gradient descent forces the largest Hessian eigenvalue to exactly 2/η via the edge coupling functional, its criticality condition, and the mean value theorem with no gap.
Schoenholz and Yasaman Bahri and Roman Novak and Jascha Sohl-Dickstein and Jeffrey Pennington , title =
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The Origin of Edge of Stability
Full-batch gradient descent forces the largest Hessian eigenvalue to exactly 2/η via the edge coupling functional, its criticality condition, and the mean value theorem with no gap.