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FOCS
2008
IEEE
16 years 25 days ago
Sketching and Streaming Entropy via Approximation Theory
We give near-optimal sketching and streaming algorithms for estimating Shannon entropy in the most general streaming model, with arbitrary insertions and deletions. This improves ...
Nicholas J. A. Harvey, Jelani Nelson, Krzysztof On...
FOCS
2004
IEEE
15 years 10 months ago
Approximating the Stochastic Knapsack Problem: The Benefit of Adaptivity
We consider a stochastic variant of the NP-hard 0/1 knapsack problem in which item values are deterministic and item sizes are independent random variables with known, arbitrary d...
Brian C. Dean, Michel X. Goemans, Jan Vondrá...
FOCS
2005
IEEE
15 years 12 months ago
Approximation Algorithms for Unique Games
We present a polynomial time algorithm based on semidefinite programming that, given a unique game of value 1 − O(1/ log n), satisfies a constant fraction of constraints, wher...
Luca Trevisan
HYBRID
2003
Springer
15 years 11 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
ICALP
2004
Springer
15 years 11 months ago
Sublinear-Time Approximation for Clustering Via Random Sampling
Abstract. In this paper we present a novel analysis of a random sampling approach for three clustering problems in metric spaces: k-median, min-sum kclustering, and balanced k-medi...
Artur Czumaj, Christian Sohler