258 search results - page 1 / 52 » Estimating the Distance to a Monotone Function |
99
Voted
APPROX
2004
Springer
15 years 2 months ago
2004
Springer
In standard property testing, the task is to distinguish between objects that have a property P and those that are ε-far from P, for some ε > 0. In this setting, it is perfec...
ENTCS
2008
14 years 9 months ago
2008
We establish a monotonicity principle for convex functions that enables high-level reasoning about capacity in information theory. Despite its simplicity, this single idea is rema...
78
Voted
ECCC
2008
14 years 9 months ago
2008
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
SODA
2008
ACM
14 years 11 months ago
2008
ACM
In this paper we consider problems related to the sortedness of a data stream. First we investigate the problem of estimating the distance to monotonicity; given a sequence of len...
SODA
2008
ACM
14 years 11 months ago
2008
ACM
We investigate the problem of monotonicity reconstruction, as defined in [3], in a parallel setting. We have oracle access to a nonnegative real-valued function f defined on domai...