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math.PR2024
Gaussian random field approximation via Stein's method with applications to wide random neural networks
Krishnakumar Balasubramanian, Larry Goldstein, Nathan Ross +1
We derive upper bounds on the Wasserstein distance (), with respect to -norm, between any continuous valued random field indexed by the -sphere and the…
math.PR2024
High-dimensional scaling limits and fluctuations of online least-squares SGD with smooth covariance
Krishnakumar Balasubramanian, Promit Ghosal, Ye He
We derive high-dimensional scaling limits and fluctuations for the online least-squares Stochastic Gradient Descent (SGD) algorithm by taking the properties of the data generating…