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» The finite-dimensional Witsenhausen counterexample
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CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 5 months ago
Is Witsenhausen's counterexample a relevant toy?
This paper answers a question raised by Doyle on the relevance of the Witsenhausen counterexample as a toy decentralized control problem. The question has two sides, the first of w...
Pulkit Grover, Anant Sahai
CDC
2009
IEEE
107views Control Systems» more  CDC 2009»
13 years 10 months ago
Learning approaches to the Witsenhausen counterexample from a view of potential games
— Since Witsenhausen put forward his remarkable counterexample in 1968, there have been many attempts to develop efficient methods for solving this non-convex functional optimiz...
Na Li, Jason R. Marden, Jeff S. Shamma
CDC
2009
IEEE
149views Control Systems» more  CDC 2009»
13 years 10 months ago
A constant-factor approximately optimal solution to the Witsenhausen counterexample
Abstract— Despite its simplicity (two controllers and otherwise LQG), Witsenhausen’s counterexample is one of the long-standing open problems in stochastic distributed control....
Se Yong Park, Pulkit Grover, Anant Sahai
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 5 months ago
The finite-dimensional Witsenhausen counterexample
Recently, a vector version of Witsenhausen's counterexample was considered and it was shown that in that limit of infinite vector length, certain quantization-based strategie...
Pulkit Grover, Se Yong Park, Anant Sahai
MOC
2002
115views more  MOC 2002»
13 years 5 months ago
Approximation by quadrilateral finite elements
We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space ...
Douglas N. Arnold, Daniele Boffi, Richard S. Falk