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» Random Matrices, Magic Squares and Matching Polynomials
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COMBINATORICS
2004
106views more  COMBINATORICS 2004»
13 years 10 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd
CORR
2011
Springer
185views Education» more  CORR 2011»
13 years 6 months ago
Asymptotic Moments for Interference Mitigation in Correlated Fading Channels
Abstract—We consider a certain class of large random matrices, composed of independent column vectors with zero mean and different covariance matrices, and derive asymptotically ...
Jakob Hoydis, Mérouane Debbah, Mari Kobayas...
FOCM
2008
156views more  FOCM 2008»
13 years 11 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 10 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
SODA
2010
ACM
169views Algorithms» more  SODA 2010»
14 years 8 months ago
Efficiently Decodable Non-adaptive Group Testing
We consider the following "efficiently decodable" nonadaptive group testing problem. There is an unknown string x {0, 1}n with at most d ones in it. We are allowed to t...
Piotr Indyk, Hung Q. Ngo, Atri Rudra