2 papers
cs.LG2026
Non-asymptotic estimates of the minimal risk in statistical learning
Liming Wu, Sen Yang
In this paper we prove some concentration inequalities for two types of error probabilities in the Empirical Risk Principle (ERP) in statistical learning, which provide a lower bou…
math.PR2026
Moderate Deviation Principle for dynamical systems with small random perturbation
Yutao ma, Ran Wang, Liming Wu
Consider the stochastic differential equation in $\rr^d$ dX^{\e}_t&=b(X^{\e}_t)dt+\sqrt{\e}Ï(X^\e_t)dB_t X^{\e}_0&=x_0,\quad x_0\in\rr^db:\rr^d\to\rr^dC^1$ such tha…