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Paper · arXiv

Clipping the Price of Adaptivity at the Tail

Adaptive stochastic convex optimization (SCO) methods face a fundamental ``price of adaptivity'' barrier: under the standard set of assumptions, they cannot efficiently adapt to large uncertainty in both the initial distance to optimality and the Lipschitz constant. We circumvent this barrier by requiring a small amount of additional structure common to many learning problems. Specifically, we assume that the objective decomposes into a model and a loss function, enabling us to intervene by modifying the model's output before it passes to the loss function. Under this assumption, we design a method that clips the learned model output in tail events where it deviates too much from the outp...

AuthorsItai Kreisler, Yair Carmon, Oliver Hinder
Primary categorycs.LG
Published21 June 2026
Last updated at source21 June 2026
cs.LGmath.OC
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