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The recovery of ridge functions on the hypercube suffers from the curse of dimensionality
Institution:1. University of South Carolina, United States of America;2. Steklov Institute of Mathematics, Russia;3. Lomonosov Moscow State University, Russia;4. Moscow Center for Fundamental and Applied Mathematics, Russia;5. Faculty of Mathematics, 09107 Chemnitz, Germany;1. PALLAS International Corporation, San Jose, CA, USA;2. Univ Lyon, UCB Lyon 1, CNRS, ENS de Lyon, Inria, LIP UMR 5668, France;1. CNRS (UMI 3069, PIMS), Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia, V5A 1S6, Canada;2. CNRS, École polytechnique, Institut Polytechnique de Paris, Laboratoire d''Informatique de l''École Polytechnique (LIX, UMR 7161), Bâtiment Alan Turing, CS35003, 1, rue Honoré d''Estienne d''Orves, 91120 Palaiseau, France
Abstract:
Keywords:High-dimensional function approximation  Ridge functions  Randomized algorithms  Lower bounds  Information-based complexity
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