2 papers
math.ST2024
Error bounds of Median-of-means estimators with VC-dimension
Yuxuan Wang, Yiming Chen, Hanchao Wang +1
We obtain the upper error bounds of robust estimators for mean vector, using the median-of-means (MOM) method. The method is designed to handle data with heavy tails and contaminat…
math.PR2024
On Generalized Sub-Gaussian Canonical Processes and Their Applications
Yiming Chen, Yuxuan Wang, Kefan Zhu
We obtain the tail probability of generalized sub-Gaussian canonical processes. It can be viewed as a variant of the Bernstein-type inequality in the i.i.d case, and we further get…