Bias-Variance Trade-off for Clipped Stochastic First-Order Methods: From Bounded Variance to Infinite Mean

This article likely explores the bias-variance trade-off in the context of clipped stochastic first-order methods, a common technique in machine learning optimization. The title suggests an analysis of how clipping affects the variance and mean of the gradients, potentially leading to insights on the convergence and performance of these methods. The mention of 'infinite mean' is particularly intriguing, suggesting a deeper dive into the statistical properties of the clipped gradients.