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» Upper and lower Ramsey bounds in bounded arithmetic
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GLOBECOM
2010
IEEE
14 years 9 months ago
Design of Amplify and Forward MIMO Relay Networks with QoS Constraint
In this paper, we design the optimal precoding matrices for amplify-and-forward (AF) multiple-input multipleoutput (MIMO) relay networks. Specifically, we consider a dualhop relay ...
Jafar Mohammadi, Feifei Gao, Yue Rong
TIT
2010
107views Education» more  TIT 2010»
14 years 6 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali
COCO
1993
Springer
133views Algorithms» more  COCO 1993»
15 years 4 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
CRYPTO
2009
Springer
111views Cryptology» more  CRYPTO 2009»
15 years 3 months ago
The Round Complexity of Verifiable Secret Sharing Revisited
The round complexity of interactive protocols is one of their most important complexity measures. In this work we prove that existing lower bounds for the round complexity of VSS c...
Arpita Patra, Ashish Choudhary, Tal Rabin, C. Pand...
JMLR
2012
13 years 2 months ago
Minimax Rates of Estimation for Sparse PCA in High Dimensions
We study sparse principal components analysis in the high-dimensional setting, where p (the number of variables) can be much larger than n (the number of observations). We prove o...
Vincent Q. Vu, Jing Lei