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» On the Theory of Average Case Complexity
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FOCS
1990
IEEE
13 years 11 months ago
The Lattice Reduction Algorithm of Gauss: An Average Case Analysis
The lattice reduction algorithm of Gauss is shown to have an average case complexity which is asymptotic to a constant.
Brigitte Vallée, Philippe Flajolet
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 7 months ago
Online Learning: Random Averages, Combinatorial Parameters, and Learnability
We develop a theory of online learning by defining several complexity measures. Among them are analogues of Rademacher complexity, covering numbers and fatshattering dimension fro...
Alexander Rakhlin, Karthik Sridharan, Ambuj Tewari
FSTTCS
2006
Springer
13 years 11 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
ICALP
2000
Springer
13 years 11 months ago
Average Bit-Complexity of Euclidean Algorithms
Abstract. We obtain new results regarding the precise average bitcomplexity of five algorithms of a broad Euclidean type. We develop a general framework for analysis of algorithms,...
Ali Akhavi, Brigitte Vallée
COLT
2006
Springer
13 years 11 months ago
DNF Are Teachable in the Average Case
We study the average number of well-chosen labeled examples that are required for a helpful teacher to uniquely specify a target function within a concept class. This "average...
Homin K. Lee, Rocco A. Servedio, Andrew Wan