Testing (subclasses of) halfspaces

We address 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 continuous domain R n (endowed with the standard multivariate Gaussian distribution) as well as halfspaces over the Boolean cube { ...

Full description

Bibliographic Details
Main Authors: Matulef, Kevin M., O'Donnell, Ryan, Rubinfeld, Ronitt, Servedio, Rocco
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Springer-Verlag 2012
Online Access:http://hdl.handle.net/1721.1/72033
https://orcid.org/0000-0002-4353-7639