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ECCC
2002
74views more  ECCC 2002»
13 years 5 months ago
On the proper learning of axis parallel concepts
We study the proper learnability of axis-parallel concept classes in the PAC-learning and exactlearning models. These classes include union of boxes, DNF, decision trees and multi...
Nader H. Bshouty, Lynn Burroughs
ECCC
2002
103views more  ECCC 2002»
13 years 5 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
ECCC
2002
90views more  ECCC 2002»
13 years 5 months ago
Almost k-wise independence versus k-wise independence
We say that a distribution over {0, 1}n is ( , k)-wise independent if its restriction to every k coordinates results in a distribution that is -close to the uniform distribution. ...
Noga Alon, Oded Goldreich, Yishay Mansour
ECCC
2002
68views more  ECCC 2002»
13 years 5 months ago
Bi-Immunity Separates Strong NP-Completeness Notions
We prove that if for some > 0, NP contains a set that is DTIME(2n )-bi-immune, then NP contains a set that is 2-Turing complete for NP (hence 3-truth-table complete) but not 1-t...
Aduri Pavan, Alan L. Selman
ECCC
2010
117views more  ECCC 2010»
13 years 3 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...