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

Francesco Orabona

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arXiv · 2604.26926

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

Francesco Orabona

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Abstract

In Orabona and P\'al [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.

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Francesco Orabona. 2026-04-29. A Note on How to Remove the $\ln\ln T$ Term from the Squint Bound. https://arxiv.org/abs/2604.26926

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