报告题目:Distribution-sharpened sampling for maximum and minimum entry localization in factorized tensors
报告人:周焕超 湘潭大学
报告时间:2026年8月3日(星期一) 10:30-11:30
报告地点:伍卓群楼三楼研讨室5
校内联系方式:邹婷婷 [email protected]
报告摘要:
We address extremum localization in large-scale tensors stored in factorized form without full reconstruction. We propose a Distribution‑Sharpened Sampling (DSS) framework that transforms the tensor into a probability distribution, applies a monotone sharpening to boost the target entry’s dominance, and samples via sequential conditional probabilities computed by tensor contractions. A Top‑M refinement yields a robust estimate. Theoretical analysis shows sharpening improves sample efficiency and dominance, with stability under rounding errors. DSS offers a practical, theoretically sound solution for factorized high‑dimensional data.
报告人简介:
周焕超,湘潭大学数学与计算科学学院讲师。博士毕业于东北师范大学统计专业,导师白志东教授。主要研究方向为大维随机矩阵的谱性质分析,包括极限谱分布、样本协方差矩阵的渐近行为等,致力于发展高维统计理论并将其应用于实际数据分析。发表相关论文五篇,其中包括Bernoulli、SCIENTIA SINICA Mathematica等杂志。