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COLT
1991
Springer
13 years 8 months ago
Improved Learning of AC0 Functions
Two extensions of the Linial, Mansour, Nisan AC0 learning algorithm are presented. The LMN method works when input examples are drawn uniformly. The new algorithmsimprove on their...
Merrick L. Furst, Jeffrey C. Jackson, Sean W. Smit...
APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
13 years 6 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
FOCS
2007
IEEE
13 years 9 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
STOC
1994
ACM
128views Algorithms» more  STOC 1994»
13 years 9 months ago
Weakly learning DNF and characterizing statistical query learning using Fourier analysis
We present new results on the well-studied problem of learning DNF expressions. We prove that an algorithm due to Kushilevitz and Mansour [13] can be used to weakly learn DNF form...
Avrim Blum, Merrick L. Furst, Jeffrey C. Jackson, ...
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
13 years 3 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...