Generating quasi-random sequences from semi-random sources
Journal of Computer and System Sciences
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
Unbiased bits from sources of weak randomness and probabilistic communication complexity
SIAM Journal on Computing - Special issue on cryptography
More deterministic simulation in logspace
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Loss-less condensers, unbalanced expanders, and extractors
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Extractors and pseudorandom generators
Journal of the ACM (JACM)
Randomness conductors and constant-degree lossless expanders
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Extracting all the randomness and reducing the error in Trevisan's extractors
Journal of Computer and System Sciences - STOC 1999
On the complexity of approximating the VC dimension
Journal of Computer and System Sciences - Complexity 2001
Extractors: optimal up to constant factors
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Extracting randomness via repeated condensing
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Extracting randomness from samplable distributions
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Deterministic Extractors for Bit-Fixing Sources and Exposure-Resilient Cryptography
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Extracting Randomness Using Few Independent Sources
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Simulating independence: new constructions of condensers, ramsey graphs, dispersers, and extractors
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Extractors with weak random seeds
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Deterministic Extractors for Affine Sources over Large Fields
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Deterministic extractors for small-space sources
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Increasing the Output Length of Zero-Error Dispersers
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
A 2-Source Almost-Extractor for Linear Entropy
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
Extractors for Three Uneven-Length Sources
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
Extracting Computational Entropy and Learning Noisy Linear Functions
COCOON '09 Proceedings of the 15th Annual International Conference on Computing and Combinatorics
Simulating independence: New constructions of condensers, ramsey graphs, dispersers, and extractors
Journal of the ACM (JACM)
Counting dependent and independent strings
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Impossibility of independence amplification in Kolmogorov complexity theory
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Multilinear formulas, maximal-partition discrepancy and mixed-sources extractors
Journal of Computer and System Sciences
Deterministic extractors for small-space sources
Journal of Computer and System Sciences
Extracting Kolmogorov complexity with applications to dimension zero-one laws
Information and Computation
Improving the Hadamard extractor
Theoretical Computer Science
New independent source extractors with exponential improvement
Proceedings of the forty-fifth annual ACM symposium on Theory of computing
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We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, each of which have min-entropy nγ for an arbitrarily small constant γ 0. Our extractor is obtained by composing seeded extractors in simple ways. We introduce a new technique to condense independent somewhere-random sources which looks like a useful way to manipulate independent sources. Our techniques are different from those used in recent work [1, 2, 16, 5] for this problem in the sense that they do not rely on any results from additive number theory.Using Bourgain's extractor [5] as a black box, we obtain a new extractor for 2 independent block-sources with few blocks, even when the min-entropy is as small as polylog(n). We also show how to modify the 2 source disperser for linear min-entropy of Barak et al. [2] and the 3 source extractor of Raz [16] to get dispersers/extractors with exponentially small error and linear output length where previously both were constant.In terms of Ramsey Hypergraphs, for every constant 1 γ 0 our construction gives a family of explicit O(1/γ)-uniform hypergraphs on N vertices that avoid cliques and independent sets of size 2(log N)γ.