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ECCC
2007
86views more  ECCC 2007»
13 years 4 months 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...
PROPERTYTESTING
2010
13 years 2 months ago
Testing (Subclasses of) Halfspaces
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
FOCS
2009
IEEE
13 years 11 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...
CSDA
2008
108views more  CSDA 2008»
13 years 5 months 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
FOCS
2009
IEEE
13 years 11 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...