3 papers
math.ST2026
Estimation of the sub-Gaussian parameter
Jason Liu, Min Xu, Jinchuan Xing
The sub-Gaussian parameter (also called the variance proxy) of a mean-zero random variable is defined as where $L(λ) = \frac{2}{λ^2}…
math.ST2025
Learning the score under shape constraints
Rebecca M. Lewis, Oliver Y. Feng, Henry W. J. Reeve +2
Score estimation has recently emerged as a key modern statistical challenge, due to its pivotal role in generative modelling via diffusion models. Moreover, it is an essential ingr…
math.ST2025
Optimal convex -estimation via score matching
Oliver Y. Feng, Yu-Chun Kao, Min Xu +1
In the context of linear regression, we construct a data-driven convex loss function with respect to which empirical risk minimisation yields optimal asymptotic variance in the dow…