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 [dot] x-theta). We consider halfspaces over the continuous domain R[superscript n] (endowed with the standard multivariate Gaussian distribution) as well as halfspa...

Full description

Bibliographic Details
Main Authors: Matulef, Kevin M., O'Donnell, Ryan, Rubinfeld, Ronitt, Servedio, Rocco A.
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2012
Online Access:http://hdl.handle.net/1721.1/69873
https://orcid.org/0000-0002-4353-7639