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cs.IT2023
Majorizing Measures, Codes, and Information
Yifeng Chu, Maxim Raginsky
The majorizing measure theorem of Fernique and Talagrand is a fundamental result in the theory of random processes. It relates the boundedness of random processes indexed by elemen…
cs.LG2023★ 7 cited
A unified framework for information-theoretic generalization bounds
Yifeng Chu, Maxim Raginsky
This paper presents a general methodology for deriving information-theoretic generalization bounds for learning algorithms. The main technical tool is a probabilistic decorrelation…
math.PR2023
A Chain Rule for the Expected Suprema of Bernoulli Processes
Yifeng Chu, Maxim Raginsky
We obtain an upper bound on the expected supremum of a Bernoulli process indexed by the image of an index set under a uniformly Lipschitz function class in terms of properties of t…