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math.OC2026
A Two-Dimensional Extremizer for Relatively Inexact Gradient Descent
Jinze Zhao
We give an explicit extremal function for one step of gradient descent when the gradient error is bounded relative to the true gradient. The function is the sum of a quadratic in o…
math.OC2026
Sharpness and Rigidity of the Two-Factor Recht-Re Lower Bound
Jinze Zhao
Products of positive semidefinite matrices arise when successive steps of a randomized optimization method use different data points. Their average can have a negative eigenvalue e…