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» On the Sensitivity of Cyclically-Invariant Boolean Functions
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PODS
2000
ACM
112views Database» more  PODS 2000»
13 years 11 months ago
Auditing Boolean Attributes
We study the problem of auditing databases which support statistical sum queries to protect the security of sensitive information; we focus on the special case in which the sensit...
Jon M. Kleinberg, Christos H. Papadimitriou, Prabh...
FOCS
1989
IEEE
13 years 11 months ago
Constant Depth Circuits, Fourier Transform, and Learnability
In this paper, Boolean functions in ,4C0 are studied using harmonic analysis on the cube. The main result is that an ACO Boolean function has almost all of its “power spectrum”...
Nathan Linial, Yishay Mansour, Noam Nisan
COCO
2006
Springer
118views Algorithms» more  COCO 2006»
13 years 11 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 1 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio
JEI
2000
134views more  JEI 2000»
13 years 7 months ago
Pattern matching using the blur hit - miss transform
The usefulness of the hit-miss transform (HMT) and related transforms for pattern matching in document image applications is examined. Although the HMT is sensitive to the types o...
Dan S. Bloomberg, Luc Vincent