AINeutralarXiv โ CS AI ยท Mar 47/102
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Covering Numbers for Deep ReLU Networks with Applications to Function Approximation and Nonparametric Regression
Researchers have derived tight bounds on covering numbers for deep ReLU neural networks, providing fundamental insights into network capacity and approximation capabilities. The work removes a log^6(n) factor from the best known sample complexity rate for estimating Lipschitz functions via deep networks, establishing optimality in nonparametric regression.