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Record Nr. |
UNISA996495167603316 |
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Autore |
Fampa Marcia |
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Titolo |
Maximum-entropy sampling : algorithms and application / / Marcia Fampa and Jon Lee |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2022] |
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©2022 |
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ISBN |
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Descrizione fisica |
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1 online resource (206 pages) |
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Collana |
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Springer series in operations research |
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Disciplina |
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Soggetti |
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Mathematical optimization |
Maximum entropy method |
Mathematical optimization - Methodology |
Optimització matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references (pages 183-191) and index. |
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Nota di contenuto |
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Intro -- Preface -- Overview -- Notation -- Contents -- The problem and basic properties -- Differential entropy -- The MESP and the CMESP -- Hardness -- A solvable case -- The complementary problem -- Scaling -- Masks -- Submodularity -- Branch-and-bound -- The branch-and-bound algorithmic framework for MESP -- Global upper bound for early termination -- Good lower bounds -- Greedy -- Swapping -- Approximation algorithm -- The branch-and-bound algorithmic framework for CMESP -- Upper bounds -- Spectral bounds -- Unconstrained -- Constrained -- Integer linear optimization -- An ILP-based diagonal bound for CMESP -- An ILP-based partition bound for MESP -- linx bound -- Convexity of linx -- Duality for linx -- Fixing variables in linx -- Computing linx and Dlinx solutions -- Scaling for linx -- The complementary problem of linx-gamma -- Factorization bound -- The Lagrangian dual of Fact -- Duality for DFact -- Fixing variables in DDFact -- Computing DDFact and DFact solutions -- Properties of the factorization bound -- NLP bound -- Convexity of NLP -- Scaling for NLP -- Good parameters for NLPgamma -- Strategies to select parameters for NLPgamma -- Duality and the |
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