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» Influences of monotone Boolean functions
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ALT
2001
Springer
14 years 4 months ago
Learning of Boolean Functions Using Support Vector Machines
This paper concerns the design of a Support Vector Machine (SVM) appropriate for the learning of Boolean functions. This is motivated by the need of a more sophisticated algorithm ...
Ken Sadohara
APPROX
2008
Springer
101views Algorithms» more  APPROX 2008»
13 years 9 months ago
Learning Random Monotone DNF
We give an algorithm that with high probability properly learns random monotone DNF with t(n) terms of length log t(n) under the uniform distribution on the Boolean cube {0, 1}n ....
Jeffrey C. Jackson, Homin K. Lee, Rocco A. Servedi...
TOC
2010
142views Management» more  TOC 2010»
13 years 2 months ago
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...
Homin K. Lee
EJC
2010
13 years 7 months ago
Minors of Boolean functions with respect to clique functions and hypergraph homomorphisms
Each clone C on a fixed base set A determines a quasiorder on the set of all operations on A by the following rule: f is a C-minor of g if f can be obtained by substituting operati...
Erkko Lehtonen, Jaroslav Nesetril
RANDOM
2001
Springer
14 years 1 days ago
Proclaiming Dictators and Juntas or Testing Boolean Formulae
We consider the problem of determining whether a given function ¢ £ ¤¥ ¦ §¨©  ¤¥ ¦ §¨ belongs to a certain class of Boolean functions  or whether it is far from the...
Michal Parnas, Dana Ron, Alex Samorodnitsky