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An Asymptotically Optimal Set Approach for Simulation Optimization
INFORMS Journal on Computing, 2019We propose an asymptotically optimal set (AOS) approach for solving stochastic optimization problems with discrete or continuous feasible regions. Our AOS approach is a framework for designing provably convergent algorithms that are adaptive in seeking new points and in resampling or discarding already sampled points.
Liujia Hu, Sigrún Andradóttir
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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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Asymptotically optimal dualization algorithms
Computational Mathematics and Mathematical Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djukova, E. V., Prokofjev, P. A.
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Asymptotic Optimality Conditions
2001Optimality of a feasible point in convex programming has been characterized in Section 3.4 using the minimal index set of active constraints, i.e., using the constraints that are equal to zero on the entire feasible set. Now a different strategy will be used.
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Asymptotically optimal block quantization
IEEE Transactions on Information Theory, 1979In 1948 W. R. Bennett used a companding model for nonuniform quantization and proposed the formula D \: = \: \frac{1}{12N^{2}} \: \int \: p(x) [ E(x) ]^{-2} \dx for the mean-square quantizing error where N is the number of levels, p (x) is the probability density of the input, and E \prime (x) is the slope of the compressor curve.
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The asymptotically optimal tests
Journal of the Royal Statistical Society: Series D (The Statistician), 1997This paper reviews the asymptotically optimal tests: the likelihood ratio, score and Wald tests, with emphasis on the score and Wald tests. These tests are also given after a linear transformation of the parameter space. Use of this approach often simplifies the calculations involved, especially when multiple tests are to be derived.
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Asymptotic optimality of D-CuSum for quickest change detection under transient dynamics
International Symposium on Information Theory, 2017Shaofeng Zou +2 more
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Asymptotic optimality of BestFit for stochastic bin packing
PERV, 2014Javad Ghaderi, Y. Zhong, R. Srikant
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Toward Blind Scheduling in Mobile Media Cloud: Fairness, Simplicity, and Asymptotic Optimality
IEEE transactions on multimedia, 2013Liang Zhou, Haohong Wang
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Asymptotic optimality for consensus-type stochastic approximation algorithms using iterate averaging
Journal of Control Theory and Applications, 2013G. Yin +5 more
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