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FOCS
2009
IEEE
13 years 7 months ago
Learning and Smoothed Analysis
We give a new model of learning motivated by smoothed analysis (Spielman and Teng, 2001). In this model, we analyze two new algorithms, for PAC-learning DNFs and agnostically learn...
Adam Tauman Kalai, Alex Samorodnitsky, Shang-Hua T...
FOCS
2009
IEEE
14 years 4 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
FOCS
2009
IEEE
14 years 4 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
FOCS
2009
IEEE
14 years 4 months ago
A Parallel Repetition Theorem for Any Interactive Argument
— The question of whether or not parallel repetition reduces the soundness error is a fundamental question in the theory of protocols. While parallel repetition reduces (at an ex...
Iftach Haitner
FOCS
2009
IEEE
14 years 4 months ago
Resolving the Simultaneous Resettability Conjecture and a New Non-Black-Box Simulation Strategy
Canetti, Goldreich, Goldwasser, and Micali (STOC 2000) introduced the notion of resettable zeroknowledge proofs, where the protocol must be zero-knowledge even if a cheating veri...
Yi Deng, Vipul Goyal, Amit Sahai