Xiaoyu Chen

activity

20232025

collaborators

3 papers

math.RT2025

The block decomposition of the principal representation category of reductive algebraic groups with Frobenius maps

Xiaoyu Chen, Junbin Dong

Let $G$ be a connected reductive algebraic group defined over the finite field $F_{q}$ with $q$ elements. Let $k$ be a field such that $\op{char} \Bbbk \ne \op{cha…

math.RT2024

On the extensions of certain representations of reductive algebraic groups with Frobenius maps

Xiaoyu Chen, Junbin Dong

Let $G$ be a connected reductive algebraic group defined over the finite field $F_{q}$ with $q$ elements,where $q$ is a power of a prime number $p$ . Let $k$ be a f…

quant-ph2023

Near-Optimal Quantum Coreset Construction Algorithms for Clustering

Yecheng Xue, Xiaoyu Chen, Tongyang Li +1

$k$ -Clustering in $R^{d}$ (e.g., $k$ -median and $k$ -means) is a fundamental machine learning problem. While near-linear time approximation algorithms were known in the class…