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» Hardness amplification within NP
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FOCS
1999
IEEE
13 years 10 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
FOCS
1999
IEEE
13 years 10 months ago
Boosting and Hard-Core Sets
This paper connects two fundamental ideas from theoretical computer science: hard-core set construction, a type of hardness amplification from computational complexity, and boosti...
Adam Klivans, Rocco A. Servedio
FOCS
2004
IEEE
13 years 9 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
ICML
2010
IEEE
13 years 6 months ago
Restricted Boltzmann Machines are Hard to Approximately Evaluate or Simulate
Restricted Boltzmann Machines (RBMs) are a type of probability model over the Boolean cube {-1, 1}n that have recently received much attention. We establish the intractability of ...
Philip M. Long, Rocco A. Servedio
JCSS
2011
95views more  JCSS 2011»
13 years 21 days ago
Hardness results for approximating the bandwidth
The bandwidth of an n-vertex graph G is the minimum value b such that the vertices of G can be mapped to distinct integer points on a line without any edge being stretched to a di...
Chandan K. Dubey, Uriel Feige, Walter Unger