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Author

Taekyun Lee

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Preprint Sep 2026

Exact Universality of Online Discrepancy

We study online vector balancing with $N$ random vectors in $\mathbb{R}^M$ revealed sequentially, where each vector must be assigned an irrevocable sign upon arrival. The goal is to minimize the expected $\ell^\infty$ norm of the final signed sum. For i.i.d. entries with mean zero, variance one, and a finite fourth mom...

Sunghyeon Jo, Taekyun Lee · 0 citations
Preprint Sep 2026

The Exact Online Threshold for the Asymmetric Binary Perceptron

A computer-assisted proof that every density below $0.32747$ is achievable online by such an algorithm, more than tripling the best density previously proved attainable by any polynomial-time algorithm, online or offline.

Sunghyeon Jo, Taekyun Lee · 1 citation

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