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84
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ECCC
2007
86views more  ECCC 2007»
15 years 11 days ago
Testing Halfspaces
This paper addresses the problem of testing whether a Boolean-valued function f is a halfspace, i.e. a function of the form f(x) = sgn(w·x−θ). We consider halfspaces over the ...
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
87
Voted
PROPERTYTESTING
2010
14 years 10 months ago
Testing (Subclasses of) Halfspaces
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
87
Voted
FOCS
2009
IEEE
15 years 7 months ago
Agnostic Learning of Monomials by Halfspaces Is Hard
— We prove the following strong hardness result for learning: Given a distribution on labeled examples from the hypercube such that there exists a monomial (or conjunction) consi...
Vitaly Feldman, Venkatesan Guruswami, Prasad Ragha...
97
Voted
CSDA
2008
108views more  CSDA 2008»
15 years 15 days ago
The random Tukey depth
The computation of the Tukey depth, also called halfspace depth, is very demanding, even in low dimensional spaces, because it requires that all possible one-dimensional projectio...
J. A. Cuesta-Albertos, A. Nieto-Reyes
103
Voted
FOCS
2009
IEEE
15 years 7 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...