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86
Voted
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
16 years 1 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
126
Voted
SIAMNUM
2010
115views more  SIAMNUM 2010»
14 years 7 months ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
145
Voted
FOCS
2004
IEEE
15 years 4 months ago
Tolls for Heterogeneous Selfish Users in Multicommodity Networks and Generalized Congestion Games
We prove the existence of tolls to induce multicommodity, heterogeneous network users that independently choose routes minimizing their own linear function of tolls versus latency...
Lisa Fleischer, Kamal Jain, Mohammad Mahdian
102
Voted
STOC
1999
ACM
81views Algorithms» more  STOC 1999»
15 years 5 months ago
PCP Characterizations of NP: Towards a Polynomially-Small Error-Probability
This paper strengthens the low-error PCP characterization of NP, coming closer to the upper limit of the BGLR conjecture. Consider the task of verifying a witness for the membersh...
Irit Dinur, Eldar Fischer, Guy Kindler, Ran Raz, S...
122
Voted
AAAI
2008
15 years 3 months ago
Limits and Possibilities of BDDs in State Space Search
This paper investigates the impact of symbolic search for solving domain-independent action planning problems with binary decision diagrams (BDDs). Polynomial upper and exponential...
Stefan Edelkamp, Peter Kissmann