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  • 标题:New upper bounds for maximum-entropy sampling.
  • 本地全文:下载
  • 作者:Alan HOFFMAN ; Jon LEE ; Joy WILLIAMS
  • 期刊名称:CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
  • 出版年度:2000
  • 卷号:2000
  • 出版社:Center for Operations Research and Econometrics (UCL), Louvain
  • 摘要:We develop and experiment with new upper bounds for the constrained maximum-entropy sampling problem. Our partition bounds are based on Fischer’s inequality. Further new upper bounds combine the use of Fischer’s inequality with previously developed bounds. We demon- strate this in detail by using the partitioning idea to strengthen the spectral bounds of Ko, Lee and Queyranne and of Lee. Computational evidence suggests that these bounds may be useful in solving problems to optimality in a branch-and-bound framework.
  • 关键词:experimental design, design of experiments, entropy, maxi- mum-entropy sampling, spectral bound, Lagrangian, Fischer’s inequal- ity, branch-and-bound, matching, set partitioning.
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