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FOCS
2009
IEEE
13 years 2 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
13 years 8 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
13 years 8 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
13 years 11 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
13 years 11 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
13 years 11 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