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FOCS
2008
IEEE
15 years 11 months 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...
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 10 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
ISSAC
2007
Springer
93views Mathematics» more  ISSAC 2007»
15 years 10 months ago
Approximate bivariate factorization: a geometric viewpoint
We briefly present and analyze, from a geometric viewpoint, strategies for designing algorithms to factor bivariate approximate polynomials in   [x, y]. Given a composite polyno...
André Galligo, Mark van Hoeij
APPROX
2005
Springer
105views Algorithms» more  APPROX 2005»
15 years 10 months ago
The Complexity of Making Unique Choices: Approximating 1-in- k SAT
We study the approximability of 1-in-kSAT, the variant of Max kSAT where a clause is deemed satisfied when precisely one of its literals is satisfied. We also investigate differ...
Venkatesan Guruswami, Luca Trevisan
SMI
2003
IEEE
142views Image Analysis» more  SMI 2003»
15 years 9 months ago
Approximate Congruence Detection of Model Features for Reverse Engineering
Reverse engineering allows the geometric reconstruction of simple mechanical parts. However, the resulting models suffer from inaccuracies caused by errors in measurement and reco...
C. H. Gao, Frank C. Langbein, A. David Marshall, R...