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» On Learning Monotone Boolean Functions
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ML
2008
ACM
13 years 7 months ago
A linear fit gets the correct monotonicity directions
Let f be a function on Rd that is monotonic in every variable. There are 2d possible assignments to the directions of monotonicity (two per variable). We provide sufficient condit...
Malik Magdon-Ismail, Joseph Sill
IACR
2011
115views more  IACR 2011»
12 years 7 months ago
Pseudorandom Functions and Lattices
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
Abhishek Banerjee, Chris Peikert, Alon Rosen
CORR
2007
Springer
87views Education» more  CORR 2007»
13 years 7 months ago
Entropy of capacities on lattices and set systems
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability mea...
Aoi Honda, Michel Grabisch
STACS
2010
Springer
14 years 2 months ago
Evasiveness and the Distribution of Prime Numbers
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
László Babai, Anandam Banerjee, Ragh...
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 1 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang