Sullivan, Tim J. and Owhadi, Houman (2002) Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources. International Journal for Uncertainty Quantification, 2 (1). pp. 21-38. ISSN 2152-5080. doi:10.1615/Int.J.UncertaintyQuantification.2011003433. https://resolver.caltech.edu/CaltechAUTHORS:20170408-142731157
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Accepted Version
See Usage Policy. 303kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170408-142731157
Abstract
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
| Item Type: | Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| ORCID: |
| |||||||||
| 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. | |||||||||
| Group: | GALCIT | |||||||||
| Funders: |
| |||||||||
| Subject Keywords: | concentration of measure, large deviations, normal distance, optimal sampling, Talagrand distance, uncertainty quantification | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1615/Int.J.UncertaintyQuantification.2011003433 | |||||||||
| Record Number: | CaltechAUTHORS:20170408-142731157 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170408-142731157 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 75947 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | 1Science Import | |||||||||
| Deposited On: | 21 Apr 2017 20:28 | |||||||||
| Last Modified: | 15 Nov 2021 16:56 |
Repository Staff Only: item control page
