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» On Deterministic Approximation of DNF
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FOCS
1996
IEEE
13 years 11 months ago
Discrepancy Sets and Pseudorandom Generators for Combinatorial Rectangles
A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space t...
Roy Armoni, Michael E. Saks, Avi Wigderson, Shiyu ...
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 10 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
STOC
1994
ACM
128views Algorithms» more  STOC 1994»
13 years 11 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, ...
JCSS
2007
85views more  JCSS 2007»
13 years 7 months ago
A general dimension for query learning
We introduce a combinatorial dimension that characterizes the number of queries needed to exactly (or approximately) learn concept classes in various models. Our general dimension...
José L. Balcázar, Jorge Castro, Davi...