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» An approximation ratio for biclustering
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FOCS
2010
IEEE
14 years 9 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
ECCC
2007
147views more  ECCC 2007»
14 years 11 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
SODA
2010
ACM
149views Algorithms» more  SODA 2010»
15 years 9 months ago
Sharp kernel clustering algorithms and their associated Grothendieck inequalities
abstract Subhash Khot Assaf Naor In the kernel clustering problem we are given a (large) n ? n symmetric positive semidefinite matrix A = (aij) with n i=1 n j=1 aij = 0 and a (sma...
Subhash Khot, Assaf Naor
FOCS
2009
IEEE
15 years 6 months ago
The Complexity of Rationalizing Network Formation
— We study the complexity of rationalizing network formation. In this problem we fix an underlying model describing how selfish parties (the vertices) produce a graph by making...
Shankar Kalyanaraman, Christopher Umans
INFOCOM
2007
IEEE
15 years 6 months ago
Fault-Tolerant Relay Node Placement in Heterogeneous Wireless Sensor Networks
— Existing work on placing additional relay nodes in wireless sensor networks to improve network connectivity typically assumes homogeneous wireless sensor nodes with an identica...
Xiaofeng Han, Xiang Cao, Errol L. Lloyd, Chien-Chu...