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Published 2002 | Accepted Version
Journal Article Open

Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources


This note reviews, compares and contrasts three notions of "distance" or "size" that arise often in concentration-of-measure inequalities. We review Talagrand′s convex distance and McDiarmid′s diameter, and consider in particular the normal distance on a topological vector space

Additional Information

© 2002 Begell House Inc. Original Manuscript Submitted: 5/3/2011; Final Draft Received: 10/15/2011. The authors acknowledge portions of this work have been supported by the United States Department of Energy National Nuclear Security Administration under Award Number DE-FC52-08NA28613 through the California Institute of Technology's ASC/PSAAP Center for the Predictive Modeling and Simulation of High Energy Density Dynamic Response of Materials.

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Accepted Version - 2011-SO-distance_conc_ineq.pdf


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August 19, 2023
October 25, 2023