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ECCC
2002
74views more  ECCC 2002»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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
96
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ECCC
2010
117views more  ECCC 2010»
14 years 8 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...