博士生讨论班2025[14]
时间：2025-05-19
阅读量：15次
- 演讲人： 王宇轩
- 时间：2025年5月20日14:00
- 地点：浙江大学紫金港校区行政楼1417报告厅
报告文章 ：Error Bounds of Median-of-Means Estimators with VC-Dimension
摘要：This paper presents a novel approach to obtaining upper error bounds for robust estimators of the mean vector using the median-of-means (MOM) method. The method is designed to handle data with heavy tails and contamination, relying on the VC dimension rather than the Rademacher complexity to measure statistical complexity. A new robust estimator, the MOM version of the halfspace depth, is introduced, along with error bounds for mean estimation in any norm.