Sciweavers

22 search results - page 2 / 5
» Coresets for polytope distance
Sort
View
IPL
2008
105views more  IPL 2008»
13 years 7 months ago
Hausdorff approximation of 3D convex polytopes
Let P be a convex polytope in Rd , d = 3 or 2, with n vertices. We present linear time algorithms for approximating P by simpler polytopes. For instance, one such algorithm select...
Mario A. Lopez, Shlomo Reisner
SODA
2010
ACM
171views Algorithms» more  SODA 2010»
14 years 4 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...
AAECC
2002
Springer
126views Algorithms» more  AAECC 2002»
13 years 7 months ago
Toric Varieties Hirzebruch Surfaces and Error-Correcting Codes
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...
Johan P. Hansen
STOC
2005
ACM
184views Algorithms» more  STOC 2005»
14 years 1 months ago
Coresets in dynamic geometric data streams
A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1, . . . , ∆}d [26]. We develop streaming (1 + )-approxim...
Gereon Frahling, Christian Sohler
FFA
2007
62views more  FFA 2007»
13 years 7 months ago
On the parameters of r-dimensional toric codes
From a rational convex polytope of dimension r ≥ 2 J.P. Hansen constructed an error correcting code of length n = (q−1)r over the finite field Fq. A rational convex polytope...
Diego Ruano