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Asymptotically Optimal Distributed Censoring
2006 IEEE International Symposium on Information Theory, 2006We consider the problem of Bayesian decentralized binary detection in a sensor network in which the sensors have access to some side information that affects the statistics of the measurements they make. Sensors can decide whether or not to make a measurement and transmit a message to the fusion center ("censoring"), and also have a choice of the ...
Wee-Peng Tay +2 more
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Optimal Lossless Data Compression: Non-Asymptotics and Asymptotics
IEEE Transactions on Information Theory, 2014This paper provides an extensive study of the behavior of the best achievable rate (and other related fundamental limits) in variable-length strictly lossless compression. In the non-asymptotic regime, the fundamental limits of fixed-to-variable lossless compression with and without prefix constraints are shown to be tightly coupled.
Ioannis Kontoyiannis, Sergio Verdú
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Asymptotic Optimality of Isoperimetric Constants
Journal of Theoretical Probability, 2011This paper deals with the \(L^2\)-geometrically ergodic convergence in terms of the isoperimetric method. The geometric method is well known and has been used a lot in the last two decades. As illustrated by some examples in Section 5 of the paper, the method can be asymptotically optimal, even though this does not happen often. Generally speaking, the
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Asymptotic Methods for an Optimal Antenna Problem
SIAM Journal on Applied Mathematics, 1998Summary: We have presented in [\textit{T. S. Angell} and \textit{R. E. Kleinman}, Symp. Appl. Math., dedic. to R. Timman, Delft 1978, 78-90 (1978; Zbl 0374.49006), J. Optimization Theory Appl. 37, 469-497 (1982; Zbl 0465.35021)] the problem of choosing boundary data for the exterior Helmholtz equation in order to optimize a functional of the radiated ...
Boris Vainberg +2 more
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On the asymptotic optimality of orthoregressional estimators
Journal of Applied and Industrial Mathematics, 2016Summary: It is shown that the ortho-regressional (STLS) parameter estimators in linear algebraic systems (including autonomous difference equations with matrix coefficients) converge to the maximum likelihood estimators and thus become asymptotically best in the limit case of large variances of the random coordinates on the variety of solutions to the ...
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An alternative approach to asymptotic optimality
Journal of Statistical Planning and Inference, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Optimality of the Nonnegative Garrote Estimator Under Heteroscedastic Errors
Journal of Systems Science and Complexity, 2020Shangwei Zhao, Guanghui Cai
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Asymptotic Optimality of Sparse Linear Discriminant Analysis with Arbitrary Number of Classes
Scandinavian Journal of Statistics, 2017Xin Qi, Ruiyan Luo
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