Maximum-entropy sampling algorithms and application / [electronic resource] :

• 作者： Fampa, Marcia.
• 其他作者：
  • Lee, Jon.
  • SpringerLink (Online service)
• 其他題名：
  • Springer series in operations research and financial engineering.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer series in operations research and financial engineering,
• 主題： Mathematical optimization. , Maximum entropy method. , Optimization. , Operations Research, Management Science.
• ISBN： 9783031130786 (electronic bk.) 、 9783031130779 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Overview -- Notation -- The problem and basic properties -- Branch-and-bound -- Upper bounds -- Environmental monitoring -- Opportunities -- Basic formulae and inequalities -- References -- Index.
• More
• 摘要註: This monograph presents a comprehensive treatment of the maximum-entropy sampling problem (MESP), which is a fascinating topic at the intersection of mathematical optimization and data science. The text situates MESP in information theory, as the algorithmic problem of calculating a sub-vector of pre-specificed size from a multivariate Gaussian random vector, so as to maximize Shannon's differential entropy. The text collects and expands on state-of-the-art algorithms for MESP, and addresses its application in the field of environmental monitoring. While MESP is a central optimization problem in the theory of statistical designs (particularly in the area of spatial monitoring), this book largely focuses on the unique challenges of its algorithmic side. From the perspective of mathematical-optimization methodology, MESP is rather unique (a 0/1 nonlinear program having a nonseparable objective function), and the algorithmic techniques employed are highly non-standard. In particular, successful techniques come from several disparate areas within the field of mathematical optimization; for example: convex optimization and duality, semidefinite programming, Lagrangian relaxation, dynamic programming, approximation algorithms, 0/1 optimization (e.g., branch-and-bound), extended formulation, and many aspects of matrix theory. The book is mainly aimed at graduate students and researchers in mathematical optimization and data analytics.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: