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routineTheory & OptimizationSquint2604.26926

A Note on How to Remove the $\ln\ln T$ Term from the Squint Bound

Francesco Orabona

cs.LG math.OC stat.ML

Abstract

In Orabona and Pál [2016], we introduced the shifted KT potentials, to remove the $\ln \ln T$ factor in the parameter-free learning with expert bound. In this short technical note, I show that this is equivalent to changing the prior in the Krichevsky--Trofimov algorithm. Then, I show how to use the same idea to remove the $\ln \ln T$ factor in the data-independent bound for the Squint algorithm.

Topics

Classified with taxonomy v2 on Wed, 2 Sept 2026.

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