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» On the nonlinearity of monotone Boolean functions
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WCE
2007
14 years 10 months ago
Extended Monotone Methods for Hyperbolic Problems in Three Variables
—We consider Initial-Boundary value problems associated with nonlinear hyperbolic partial differential equation in three independent variables, in a general setting wherein the ...
J. O. Adeyeye, R. Okojie, S. G. Pandit
DCC
2006
IEEE
15 years 9 months ago
Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity
So far there is no systematic attempt to construct Boolean functions with maximum annihilator immunity. In this paper we present a construction keeping in mind the basic theory of...
Deepak Kumar Dalai, Subhamoy Maitra, Sumanta Sarka...
NIPS
1994
14 years 11 months ago
Learning Stochastic Perceptrons Under k-Blocking Distributions
We present a statistical method that PAC learns the class of stochastic perceptrons with arbitrary monotonic activation function and weights wi {-1, 0, +1} when the probability d...
Mario Marchand, Saeed Hadjifaradji
FOCS
2009
IEEE
15 years 4 months ago
KKL, Kruskal-Katona, and Monotone Nets
We generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In our general...
Ryan O'Donnell, Karl Wimmer
SIAMJO
2008
109views more  SIAMJO 2008»
14 years 9 months ago
A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
This paper extends the regularized smoothing Newton method in vector optimization to symmetric cone optimization, which provide a unified framework for dealing with the nonlinear ...
Lingchen Kong, Jie Sun, Naihua Xiu