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Yen-Huan Li

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Preprint Oct 2026

Multiplicative Gradient Method for Log-Homogeneous Optimization: A Unified Mirror-Descent Framework

Consider the problems of computing $\ell_p$-Lewis weights, Kelly portfolios, D-optimal designs, general equilibria in Fisher markets, and optimal error exponents for channel coding in information theory. All of them can be formulated as optimization problems over the probability simplex, but except for the last one, th...

Chun-Neng Chu, Yen-Huan Li · 0 citations

#machine learning Preprint Oct 2026

Regret Lower Bound for Online Learning of Quantum States with Logarithmic Loss, with Applications to Quantum State Tomography and Confidence Sequences for Matrix Means

A regret lower bound is established, showing that the regret rates of Exponential Weights and the algorithm of Tseng et al. (2025) have optimal polynomial dependence on the dimension, which leads to a quantum state tomography algorithm that is sample optimal up to polylogarithmic factors in the sample size.

Yen-Huan Li, Wei-Fu Tseng · 0 citations