02104nam0 2200433 i 450 VAN0010298120240806100721.901N978149391601620151016d2014 |0itac50 baengUS|||| |||||Combinatorial and additive number theoryCANT 2011 and 2012Melvyn B. Nathanson editorNew YorkSpringer2014VIII, 312 p.ill.24 cm001VAN001025742001 Springer proceedings in mathematics & statistics210 Berlin [etc.]Springer2012-101VAN00239939Combinatorial and additive number theory : CANT 2011 and 2012141066900B25Proceedings of conferences of miscellaneous specific interest [MSC 2020]VANC020732MF05AxxEnumerative combinatorics [MSC 2020]VANC023597MF11BxxSequences and sets [MSC 2020]VANC020834MF20FxxSpecial aspects of infinite or finite groups [MSC 2020]VANC023970MFAdditiveKW:KCombinatoricsKW:KNumber theoryKW:KUSNew YorkVANL000011NathansonMelvyn B.VANV020127Workshop on Combinatorial and Additive Number Theory1.2011-2012New YorkVANV229644Springer <editore>VANV108073650Nathanson, Melvyn BernardNathanson, Melvyn B.VANV234481Nathanson, M.B.Nathanson, Melvyn B.VANV234482Nathanson, M. B.Nathanson, Melvyn B.VANV234483ITSOL20250221RICAhttp://dx.doi.org/10.1007/978-1-4939-1601-6E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA CENTRO DI SERVIZIO SBAVAN15NVAN00102981BIBLIOTECA CENTRO DI SERVIZIO SBA15CONS SBA EBOOK 4755 15EB 4755 20191107 Combinatorial and additive number theory1410669UNICAMPANIA03652nam 22006015 450 991062439320332120251113195022.03-031-13078-210.1007/978-3-031-13078-6(MiAaPQ)EBC7127691(Au-PeEL)EBL7127691(CKB)25219360300041(PPN)265856507(OCoLC)1350356494(DE-He213)978-3-031-13078-6(EXLCZ)992521936030004120221029d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMaximum-Entropy Sampling Algorithms and Application /by Marcia Fampa, Jon Lee1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (206 pages)Springer Series in Operations Research and Financial Engineering,2197-1773Print version: Fampa, Marcia Maximum-Entropy Sampling Cham : Springer International Publishing AG,c2022 9783031130779 Includes bibliographical references (pages 183-191) and index.Overview -- Notation -- The problem and basic properties -- Branch-and-bound -- Upper bounds -- Environmental monitoring -- Opportunities -- Basic formulae and inequalities -- References -- Index.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. .Springer Series in Operations Research and Financial Engineering,2197-1773Mathematical optimizationOperations researchManagement scienceOptimizationOperations Research, Management ScienceMathematical optimization.Operations research.Management science.Optimization.Operations Research, Management Science.519.3519.54Fampa Marcia1264085Lee JonMiAaPQMiAaPQMiAaPQBOOK9910624393203321Maximum-entropy sampling3065688UNINA