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» On a Problem of Hajdu and Tengely
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CCCG
2006
13 years 6 months ago
Geometric Separator for d-Dimensional Ball Graphs
We study the graph partitioning problem on ddimensional ball graphs in a geometric way. Let B be a set of balls in d-dimensional Euclidean space with radius ratio and -precision....
Kebin Wang, Shang-Hua Teng
FOCS
2009
IEEE
13 years 2 months ago
Learning and Smoothed Analysis
We give a new model of learning motivated by smoothed analysis (Spielman and Teng, 2001). In this model, we analyze two new algorithms, for PAC-learning DNFs and agnostically learn...
Adam Tauman Kalai, Alex Samorodnitsky, Shang-Hua T...
FOCS
2009
IEEE
13 years 11 months ago
Smoothed Analysis of Multiobjective Optimization
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...
Heiko Röglin, Shang-Hua Teng
FOCS
2009
IEEE
13 years 11 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng
ISVD
2007
IEEE
13 years 11 months ago
Time Convex Hull with a Highway
We consider the problem of computing the time convex hull of a set of points in the presence of a straight-line highway in the plane. The traveling speed in the plane is assumed t...
Teng-Kai Yu, D. T. Lee