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» Coresets for polytope distance
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COMPGEOM
2009
ACM
15 years 4 months ago
Coresets for polytope distance
Following recent work of Clarkson, we translate the coreset framework to the problems of finding the point closest to the origin inside a polytope, finding the shortest distance...
Bernd Gärtner, Martin Jaggi
SIAMDM
2010
146views more  SIAMDM 2010»
14 years 8 months ago
Bringing Toric Codes to the Next Dimension
This paper is concerned with the minimum distance computation for higher dimensional toric codes defined by lattice polytopes in Rn . We show that the minimum distance is multipli...
Ivan Soprunov, Jenya Soprunova
DCG
2007
94views more  DCG 2007»
14 years 9 months ago
Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
We consider polytopes in Rn that are generated by N vectors in Rn whose coordinates are independent subgaussian random variables. (A particular case of such polytopes are symmetri...
Rafal Latala, Piotr Mankiewicz, Krzysztof Oleszkie...
ICASSP
2011
IEEE
14 years 1 months ago
Polytope kernel density estimates on Delaunay graphs
We present a polytope-kernel density estimation (PKDE) methodology that allows us to perform exact mean-shift updates along the edges of the Delaunay graph of the data. We discuss...
Erhan Bas, Deniz Erdogmus
STACS
2007
Springer
15 years 3 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler