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FOCS
1999
IEEE
13 years 9 months ago
An Algorithmic Theory of Learning: Robust Concepts and Random Projection
We study the phenomenon of cognitive learning from an algorithmic standpoint. How does the brain effectively learn concepts from a small number of examples despite the fact that e...
Rosa I. Arriaga, Santosh Vempala
FOCS
1999
IEEE
13 years 9 months ago
Boosting and Hard-Core Sets
This paper connects two fundamental ideas from theoretical computer science: hard-core set construction, a type of hardness amplification from computational complexity, and boosti...
Adam Klivans, Rocco A. Servedio
FOCS
1999
IEEE
13 years 9 months ago
Limits on the Efficiency of One-Way Permutation-Based Hash Functions
Naor and Yung show that a one-bit-compressing universal one-way hash function (UOWHF) can be constructed based on a one-way permutation. This construction can be iterated to build...
Jeong Han Kim, Daniel R. Simon, Prasad Tetali
FOCS
2008
IEEE
13 years 12 months ago
Lower Bounds for Noisy Wireless Networks using Sampling Algorithms
We show a tight lower bound of Ω(N log log N) on the number of transmissions required to compute several functions (including the parity function and the majority function) in a...
Chinmoy Dutta, Jaikumar Radhakrishnan
FOCS
1999
IEEE
13 years 9 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan