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» Coresets for polytope distance
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COMPGEOM
2009
ACM
13 years 11 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»
13 years 3 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»
13 years 4 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
12 years 8 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
13 years 10 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