Director of Research (if dissertation) or Advisor (if thesis)
Raginsky, Maxim
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Rademacher complexity
Bernoulli process
composite function class
generic chaining
Abstract
Two preliminary estimates are obtained for expected suprema of Bernoulli processes indexed by an image of a bounded Euclidean subset through a class of Lipschitz functions. If that bounded subset is given by the projection of a bounded function class onto a sample vector, the result can be considered as a control over empirical Rademacher complexity of a composite function class. Such an estimate can be applied to learning problems where the hypotheses have composite structure or where more than one function is needed to determine the empirical loss.
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