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FOCS
2009
IEEE
9 years 1 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
9 years 7 months ago
Space-Efficient Framework for Top-k String Retrieval Problems
Given a set D = {d1, d2, ..., dD} of D strings of total length n, our task is to report the "most relevant" strings for a given query pattern P. This involves somewhat mo...
Wing-Kai Hon, Rahul Shah, Jeffrey Scott Vitter
FOCS
2009
IEEE
9 years 7 months ago
Optimal Quantum Strong Coin Flipping
Coin flipping is a fundamental cryptographic primitive that enables two distrustful and far apart parties to create a uniformly random bit [Blu81]. Quantum information allows for ...
André Chailloux, Iordanis Kerenidis
FOCS
2009
IEEE
9 years 10 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
FOCS
2009
IEEE
9 years 10 months ago
The Data Stream Space Complexity of Cascaded Norms
Abstract— We consider the problem of estimating cascaded aggregates over a matrix presented as a sequence of updates in a data stream. A cascaded aggregate P ◦Q is defined by ...
T. S. Jayram, David P. Woodruff
FOCS
2009
IEEE
9 years 10 months ago
Randomized Self-Assembly for Exact Shapes
— Working in Winfree’s abstract tile assembly model, we show that a constant-size tile assembly system can be programmed through relative tile concentrations to build an n × n...
David Doty
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