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APPROX
2008
Springer
88views Algorithms» more  APPROX 2008»
13 years 6 months ago
Limitations of Hardness vs. Randomness under Uniform Reductions
We consider (uniform) reductions from computing a function f to the task of distinguishing the output of some pseudorandom generator G from uniform. Impagliazzo and Wigderson [IW]...
Dan Gutfreund, Salil P. Vadhan
FOCS
2000
IEEE
13 years 9 months ago
On the Hardness of Graph Isomorphism
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
Jacobo Torán
FOCS
2006
IEEE
13 years 10 months ago
New Results for Learning Noisy Parities and Halfspaces
We address well-studied problems concerning the learnability of parities and halfspaces in the presence of classification noise. Learning of parities under the uniform distributi...
Vitaly Feldman, Parikshit Gopalan, Subhash Khot, A...
FOCS
2004
IEEE
13 years 8 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev