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FOCS
2006
IEEE
15 years 10 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff
IPL
2000
74views more  IPL 2000»
15 years 3 months ago
A new universal and fault-tolerant quantum basis
A novel universal and fault-tolerant basis (set of gates) for quantum computation is described. Such a set is necessary to perform quantum computation in a realistic noisy environ...
P. Oscar Boykin, Tal Mor, Matthew Pulver, Vwani P....
FOCS
2006
IEEE
15 years 10 months ago
Approximation algorithms for allocation problems: Improving the factor of 1 - 1/e
Combinatorial allocation problems require allocating items to players in a way that maximizes the total utility. Two such problems received attention recently, and were addressed ...
Uriel Feige, Jan Vondrák
131
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FOCS
2006
IEEE
15 years 10 months ago
Improved Bounds for Online Routing and Packing Via a Primal-Dual Approach
In this work we study a wide range of online and offline routing and packing problems with various objectives. We provide a unified approach, based on a clean primal-dual method...
Niv Buchbinder, Joseph Naor
FOCS
2006
IEEE
15 years 10 months ago
Hardness of Learning Halfspaces with Noise
Learning an unknown halfspace (also called a perceptron) from labeled examples is one of the classic problems in machine learning. In the noise-free case, when a halfspace consist...
Venkatesan Guruswami, Prasad Raghavendra