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FOCS
1999
IEEE
13 years 9 months ago
On Counting Independent Sets in Sparse Graphs
Martin E. Dyer, Alan M. Frieze, Mark Jerrum
FOCS
1999
IEEE
13 years 9 months ago
Magic Functions
Cynthia Dwork, Moni Naor, Omer Reingold, Larry J. ...
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
FOCS
1999
IEEE
13 years 9 months ago
Learning Mixtures of Gaussians
Mixtures of Gaussians are among the most fundamental and widely used statistical models. Current techniques for learning such mixtures from data are local search heuristics with w...
Sanjoy Dasgupta
FOCS
1999
IEEE
13 years 9 months ago
Bounds for Small-Error and Zero-Error Quantum Algorithms
Harry Buhrman, Richard Cleve, Ronald de Wolf, Chri...
FOCS
1999
IEEE
13 years 9 months ago
Torpid Mixing of Some Monte Carlo Markov Chain Algorithms in Statistical Physics
We study two widely used algorithms, Glauber dynamics and the Swendsen-Wang algorithm, on rectangular subsets of the hypercubic lattice
Christian Borgs, Jennifer T. Chayes, Alan M. Friez...
FOCS
1999
IEEE
13 years 9 months ago
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
This paper is concerned with the complexity of proofs and of searching for proofs in two propositional proof systems: Resolution and Polynomial Calculus (PC). For the former syste...
Maria Luisa Bonet, Nicola Galesi
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
Regular Languages Are Testable with a Constant Number of Queries
Noga Alon, Michael Krivelevich, Ilan Newman, Mario...