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CORR
2008
Springer
96views Education» more  CORR 2008»
14 years 12 months ago
A Sparse Flat Extension Theorem for Moment Matrices
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow [4] for truncated moment matrices. It applies to moment matrices indexed by an arbitrary s...
Monique Laurent, Bernard Mourrain
CORR
2004
Springer
88views Education» more  CORR 2004»
14 years 11 months ago
A Note on the PAC Bayesian Theorem
We prove general exponential moment inequalities for averages of [0,1]valued iid random variables and use them to tighten the PAC Bayesian Theorem. The logarithmic dependence on t...
Andreas Maurer
IPL
2000
77views more  IPL 2000»
14 years 11 months ago
Simplified proof of the Fourier Sampling Theorem
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
Peter Høyer
DCC
2001
IEEE
15 years 11 months ago
On Zador's Entropy-Constrained Quantization Theorem
Zador's classic result for the asymptotic high-rate behavior of entropy-constrained vector quantization is recast in a Lagrangian form which better matches the Lloyd algorith...
Robert M. Gray, Jia Li
JCT
2008
120views more  JCT 2008»
14 years 11 months ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau