LIPIcs.FSTTCS.2010.42.pdf
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Recent Progress and Open Problems in Algorithmic Convex Geometry
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Volume:
IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS) - License:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
- Publication Date: 2010-12-14
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Santosh S. Vempala. Recent Progress and Open Problems in Algorithmic Convex Geometry. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010). Leibniz International Proceedings in Informatics (LIPIcs), Volume 8, pp. 42-64, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/LIPIcs.FSTTCS.2010.42
https://doi.org/10.4230/LIPIcs.FSTTCS.2010.42
Abstract
This article is a survey of developments in algorithmic convex geometry over the past decade. These include algorithms for sampling, optimization, integration, rounding and learning, as well as mathematical tools such as isoperimetric and concentration inequalities. Several open problems and conjectures are discussed on the way.
Keywords
- convex geometry
- geometric inequalities
- algorithms
- sampling
- optimization
- integration
- rounding
- learning
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