ICML paper: reaching ultra-flat regions too early can derail gradient descent training

MarkSchmidtUBC · x · 2026-10-28

A blog explainer of the ICML 2026 paper "Flatland: The Adventures of Gradient Descent with Large Step Sizes" (Galli, Bartolomaeus, Rauhut, Fox, Schmidt) challenges the folklore of setting the largest non-diverging learning rate: with variable step sizes, entering extremely flat (low-sharpness) regions too early can prevent networks from learning successfully. The paper maps how large steps can grow while training still converges, with implications for LR schedules and loss-landscape geometry.

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