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ICML
2010
IEEE
13 years 8 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
WINE
2005
Springer
122views Economy» more  WINE 2005»
14 years 1 months ago
Walrasian Equilibrium: Hardness, Approximations and Tractable Instances
We study the complexity issues for Walrasian equilibrium in a special case of combinatorial auction, called single-minded auction, in which every participant is interested in only ...
Ning Chen, Atri Rudra
FOCS
2004
IEEE
13 years 11 months ago
Optimal Inapproximability Results for Max-Cut and Other 2-Variable CSPs?
In this paper we show a reduction from the Unique Games problem to the problem of approximating MAX-CUT to within a factor of GW + , for all > 0; here GW .878567 denotes the a...
Subhash Khot, Guy Kindler, Elchanan Mossel, Ryan O...
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
14 years 1 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
FOCS
2007
IEEE
14 years 1 months ago
Towards Sharp Inapproximability For Any 2-CSP
We continue the recent line of work on the connection between semidefinite programming-based approximation algorithms and the Unique Games Conjecture. Given any boolean 2-CSP (or...
Per Austrin