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ML
2007
ACM
108views Machine Learning» more  ML 2007»
13 years 10 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 11 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
TALG
2010
74views more  TALG 2010»
13 years 9 months ago
Comparison-based time-space lower bounds for selection
We establish the first nontrivial lower bounds on timespace tradeoffs for the selection problem. We prove that any comparison-based randomized algorithm for finding the median ...
Timothy M. Chan
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
14 years 28 days ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
ALT
2008
Springer
14 years 7 months ago
A Uniform Lower Error Bound for Half-Space Learning
Abstract. We give a lower bound for the error of any unitarily invariant algorithm learning half-spaces against the uniform or related distributions on the unit sphere. The bound i...
Andreas Maurer, Massimiliano Pontil