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FOCS
2010
IEEE
14 years 8 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
APPROX
2011
Springer
234views Algorithms» more  APPROX 2011»
13 years 10 months ago
Streaming Algorithms with One-Sided Estimation
Abstract. We study the space complexity of randomized streaming algorithms that provide one-sided approximation guarantees; e.g., the algorithm always returns an overestimate of th...
Joshua Brody, David P. Woodruff
CVPR
2009
IEEE
16 years 5 months ago
Volterrafaces: Discriminant Analysis using Volterra Kernels
In this paper we present a novel face classification system where we represent face images as a spatial arrangement of image patches, and seek a smooth non-linear functional map...
Ritwik Kumar, Arunava Banerjee, Baba C. Vemuri
ICALP
2009
Springer
15 years 10 months ago
Correlation Clustering Revisited: The "True" Cost of Error Minimization Problems
Correlation Clustering was defined by Bansal, Blum, and Chawla as the problem of clustering a set of elements based on a possibly inconsistent binary similarity function between e...
Nir Ailon, Edo Liberty
PODS
2004
ACM
207views Database» more  PODS 2004»
15 years 10 months ago
Adaptive Sampling for Geometric Problems over Data Streams
Geometric coordinates are an integral part of many data streams. Examples include sensor locations in environmental monitoring, vehicle locations in traffic monitoring or battlefi...
John Hershberger, Subhash Suri