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FOCS
2006
IEEE
16 years 1 months ago
Points on Computable Curves
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo
FOCS
2006
IEEE
16 years 1 months ago
Towards Secure and Scalable Computation in Peer-to-Peer Networks
We consider the problems of Byzantine Agreement and Leader Election, where a constant fraction b < 1/3 of processors are controlled by a malicious adversary. The first problem...
Valerie King, Jared Saia, Vishal Sanwalani, Erik V...
FOCS
2006
IEEE
16 years 1 months ago
Hardness of Learning Halfspaces with Noise
Learning an unknown halfspace (also called a perceptron) from labeled examples is one of the classic problems in machine learning. In the noise-free case, when a halfspace consist...
Venkatesan Guruswami, Prasad Raghavendra
FOCS
2006
IEEE
16 years 1 months ago
Secure Multiparty Quantum Computation with (Only) a Strict Honest Majority
Secret sharing and multiparty computation (also called “secure function evaluation”) are fundamental primitives in modern cryptography, allowing a group of mutually distrustfu...
Michael Ben-Or, Claude Crépeau, Daniel Gott...
FOCS
2006
IEEE
16 years 1 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
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