Shi Li

activity

20242026

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3 papers · 1 filter

cs.DS2026

New Convex Programming Technique for Nash Social Welfare and Scheduling

Yuda Feng, Weijiang Hu, Shi Li

We propose a new convex programming relaxation for the weighted Nash social welfare (NSW) problem that achieves a matching $(e^{1/ e} \approx 1.445)$ -approximation via the rounding a…

cs.DS2026

$k$ -Clustering via Iterative Randomized Rounding

Jarosław Byrka, Yuhao Guo, Yang Hu +3

In this work we propose a single rounding algorithm for the fractional solutions of the standard LP relaxation for $k$ -clustering. As a starting point, we obtain an iterative round…

cs.DS2025

Logarithmic Approximations for Fair k-Set Selection

Shi Li, Chenyang Xu, Ruilong Zhang

We study the fair k-set selection problem where we aim to select $k$ sets from a given set system such that the (weighted) occurrence times that each element appears in these $k$ s…

New Convex Programming Technique for Nash Social Welfare and Scheduling

k-Clustering via Iterative Randomized Rounding

Logarithmic Approximations for Fair k-Set Selection

$k$ -Clustering via Iterative Randomized Rounding