Tag: central

  • Functional Central Limit Theorem for Stochastic Gradient Descent

    Functional Central Limit Theorem for Stochastic Gradient Descent arXiv:2602.15538v1 Announce Type: new Abstract: We study the asymptotic shape of the trajectory of the stochastic gradient descent algorithm applied to a convex objective function. Under mild regularity assumptions, we prove a functional central limit theorem for the properly rescaled trajectory. Our result characterizes the long-term fluctuations…