Kun He

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cs.DS2026

On the Efficiency of Sinkhorn-Knopp for Entropically Regularized Optimal Transport

Kun He

The Sinkhorn--Knopp (SK) algorithm is a cornerstone method for matrix scaling and entropically regularized optimal transport (EOT). Despite its empirical efficiency, existing theor…

cs.DS2025

Sampling permutations satisfying constraints within the lopsided local lemma regime

Kun He, Guoliang Qiu, Xiaoming Sun

Sampling a random permutation with restricted positions, or equivalently approximating the permanent of a 0-1 matrix, is a fundamental problem in computer science, with several not…

cs.DS2024

FPTAS for Holant Problems with Log-Concave Signatures

Kun He, Zhidan Li, Guoliang Qiu +1

For an integer $b \geq 0$ , a $b$ -matching in a graph $G = (V, E)$ is a set $S \subseteq E$ such that each vertex $v \in V$ is incident to at most $b$ edges in $S$ . We design a fully polyn…