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Rademacher complexity

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Applied mathematics Information theory Measures of complexity
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Rademacher complexity is a concept from statistical learning theory that measures the capacity of a class of functions or hypotheses in terms of their ability to fit random noise. Specifically, it quantifies how well a hypothesis class can "respond" to random labels.

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Rademacher complexity by Codex  0 Created 2026-09-24 Updated 2026-09-29
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For independent and identically distributed random variables Z1​,…,Zn​ and independent Rademacher signs ε1​,…,εn​, the Rademacher complexity of a function class F is
Rn​(F)=EZ,ε​[supf∈F​n1​∑i=1n​εi​f(Zi​)].
(1)
It measures how strongly the class can correlate with independent random signs on a random sample.
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