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Andreas Maurer in the paper "A vector-contraction inequality for Rademacher complexities" extended the contraction inequality for Rademacher averages to Lipschitz functions with vector-valued domains; He did it replacing the Rademacher variables in the bounding expression by arbitrary idd symmetric and sub-gaussian variables.
Michel Ledoux and Michel Talagrand. Probability in Banach spaces
1991
Earlier work this paper cites.
Andreas Maurer. A vector-contraction inequality for Rademacher complexities
2016
Earlier work this paper cites.
Mehryar Mohri, Afshin Rostamizadeh and Ameet Talwalkar. Foundations of Machine Learning
2018
Cited alongside, same era.
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