Description: Maximum-Entropy Sampling by Marcia Fampa, Jon Lee 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. FORMAT Paperback CONDITION Brand New Publisher Description 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 Shannons 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. Table of Contents Overview.- Notation.- The problem and basic properties.- Branch-and-bound.- Upper bounds.- Environmental monitoring.- Opportunities.- Basic formulae and inequalities.- References.- Index. Details ISBN3031130804 Author Jon Lee Pages 195 Publisher Springer International Publishing AG Edition Description 1st ed. 2022 Series Springer Series in Operations Research and Financial Engineering Year 2023 Edition 1st ISBN-13 9783031130809 Format Paperback Imprint Springer International Publishing AG Subtitle Algorithms and Application Place of Publication Cham Country of Publication Switzerland Alternative 9783031130779 DEWEY 519.54 Illustrations 9 Illustrations, color; 1 Illustrations, black and white; XVII, 195 p. 10 illus., 9 illus. in color. Audience Postgraduate, Research & Scholarly Publication Date 2023-10-31 ISBN-10 3031130804 UK Release Date 2023-10-31 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:159688412;
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