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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
LICS
2007
IEEE
14 years 2 months ago
Separating DAG-Like and Tree-Like Proof Systems
We show that tree-like (Gentzen’s calculus) PK where all cut formulas have depth at most a constant d does not simulate cut-free PK. Generally, we exhibit a family of sequents t...
Phuong Nguyen
WG
2009
Springer
14 years 2 months ago
The Parameterized Complexity of Some Minimum Label Problems
We study the parameterized complexity of several minimum label graph problems, in which we are given an undirected graph whose edges are labeled, and a property Π, and we are ask...
Michael R. Fellows, Jiong Guo, Iyad A. Kanj
FOCS
2009
IEEE
14 years 2 months ago
Resolving the Simultaneous Resettability Conjecture and a New Non-Black-Box Simulation Strategy
Canetti, Goldreich, Goldwasser, and Micali (STOC 2000) introduced the notion of resettable zeroknowledge proofs, where the protocol must be zero-knowledge even if a cheating veriï...
Yi Deng, Vipul Goyal, Amit Sahai
CAD
2002
Springer
13 years 7 months ago
Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision
Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industri...
Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, ...