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Complexity of pattern classes and the Lipschitz property
2007
Theoretical Computer Science
Rademacher and Gaussian complexities are successfully used in learning theory for measuring the capacity of the class of functions to be learnt. One of the most important properties for these complexities is their Lipschitz property: a composition of a class of functions with a fixed Lipschitz function may increase its complexity by at most twice the Lipschitz constant. The proof of this property is non-trivial (in contrast to the case for the other properties) and it is believed that the proof
doi:10.1016/j.tcs.2007.03.047
fatcat:2oyjkl4yl5glhfxqljhwudiugu