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» Geometric lower bounds for parametric matroid optimization
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104
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JCT
2011
84views more  JCT 2011»
14 years 6 months ago
Enumerating isodiametric and isoperimetric polygons
For a positive integer n that is not a power of 2, precisely the same family of convex polygons with n sides is optimal in three different geometric problems. These polygons have ...
Michael J. Mossinghoff
CORR
2007
Springer
91views Education» more  CORR 2007»
14 years 11 months ago
Unequal dimensional small balls and quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu
MOR
2010
120views more  MOR 2010»
14 years 10 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...