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FOCS
2010
IEEE
13 years 5 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet
JACM
2000
73views more  JACM 2000»
13 years 7 months ago
Parallel RAMs with owned global memory and deterministic context-free language recognition
We identify and study a natural and frequently occurring subclass of Concurrent Read, Exclusive Write Parallel Random Access Machines (CREW-PRAMs). Called Concurrent Read, Owner Wr...
Patrick W. Dymond, Walter L. Ruzzo
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
ANSS
2006
IEEE
14 years 1 months ago
Grid-Boxing for Spatial Simulation Performance Optimisation
— Computer simulations of complex systems such as physical aggregation processes or swarming and collective behaviour of life-forms, often require order N-squared computational c...
Kenneth A. Hawick, Heath A. James, C. J. Scogings
IJCGA
2010
91views more  IJCGA 2010»
13 years 4 months ago
Pareto Envelopes in Simple Polygons
For a set T of n points in a metric space (X, d), a point y X is dominated by a point x X if d(x, t) d(y, t) for all t T and there exists t T such that d(x, t ) < d(y, t )....
Victor Chepoi, Karim Nouioua, Edouard Thiel, Yann ...