On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables
Sign Up to like & getrecommendations! Published in 2018 at "Lithuanian Mathematical Journal"
DOI: 10.1007/s10986-018-9391-6
Abstract: We present upper bounds for supx ∈ ℝ|P{ZN 0 (SN = X1 + ⋯ + XN) of centered strongly mixing or uniformly strongly mixing random variables X1, X2, . . . . Here the number of summands N is a nonnegative integer-valued random variable independent… read more here.
Keywords: random variables; random sums; rate convergence; random ... See more keywords
Learning Rates of Deep Nets for Geometrically Strongly Mixing Sequence
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2024.3371025
Abstract: The great success of deep learning poses an urgent challenge to establish the theoretical basis for its working mechanism. Recently, research on the convergence of deep neural networks (DNNs) has made great progress. However, the… read more here.
Keywords: learning rates; strongly mixing; rates deep; geometrically strongly ... See more keywords