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Maximum-entropy sampling : algorithms and application / / Marcia Fampa and Jon Lee
| Maximum-entropy sampling : algorithms and application / / Marcia Fampa and Jon Lee |
| Autore | Fampa Marcia |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (206 pages) |
| Disciplina | 519.3 |
| Collana | Springer series in operations research |
| Soggetto topico |
Mathematical optimization
Maximum entropy method Mathematical optimization - Methodology Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-13078-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 logarithmic-barrier problem for gNLP -- Fixing variables in gNLP -- The logarithmic-barrier algorithm for gNLP -- NLP-gamma in the branch-and-bound algorithm -- BQP bound -- Convexity of BQP -- Duality for BQP -- Fixing variables in BQP -- A good feasible solution of DBQP from BQP -- Scaling for BQP -- Mixing bounds -- The mixing framework -- Optimizing the mixing parameters -- Duality for mixing -- Fixing variables in mix -- A good feasible solution of Dmix from mix -- Mixing the BQPgamma bound with the complementary BQPgamma bound -- Duality for smBQP -- Fixing variables in smBQP -- A good feasible solution of DsmBQP from smBQP -- Comparison of bounds -- Environmental monitoring.
The setting -- MESP within statistics and optimal experimental design -- MESP and environmental statistics -- From raw data to covariance matrices -- An example -- Opportunities -- Developing algorithmic advances for MESP/CMESP -- Variable fixing and branch-and-bound: state of the art -- Optimizing gamma for NLPgamma -- Solvable cases of MESP and mask optimization -- OA for CMESP -- MESP/CMESP variations and cousins -- Applications -- Basic formulae and inequalities -- Preliminary miscellany -- Square matrices -- Symmetric matrices -- Positive definite and semidefinite matrices -- References -- Index. |
| Record Nr. | UNINA-9910624393203321 |
Fampa Marcia
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Maximum-entropy sampling : algorithms and application / / Marcia Fampa and Jon Lee
| Maximum-entropy sampling : algorithms and application / / Marcia Fampa and Jon Lee |
| Autore | Fampa Marcia |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (206 pages) |
| Disciplina | 519.3 |
| Collana | Springer series in operations research |
| Soggetto topico |
Mathematical optimization
Maximum entropy method Mathematical optimization - Methodology Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-13078-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 logarithmic-barrier problem for gNLP -- Fixing variables in gNLP -- The logarithmic-barrier algorithm for gNLP -- NLP-gamma in the branch-and-bound algorithm -- BQP bound -- Convexity of BQP -- Duality for BQP -- Fixing variables in BQP -- A good feasible solution of DBQP from BQP -- Scaling for BQP -- Mixing bounds -- The mixing framework -- Optimizing the mixing parameters -- Duality for mixing -- Fixing variables in mix -- A good feasible solution of Dmix from mix -- Mixing the BQPgamma bound with the complementary BQPgamma bound -- Duality for smBQP -- Fixing variables in smBQP -- A good feasible solution of DsmBQP from smBQP -- Comparison of bounds -- Environmental monitoring.
The setting -- MESP within statistics and optimal experimental design -- MESP and environmental statistics -- From raw data to covariance matrices -- An example -- Opportunities -- Developing algorithmic advances for MESP/CMESP -- Variable fixing and branch-and-bound: state of the art -- Optimizing gamma for NLPgamma -- Solvable cases of MESP and mask optimization -- OA for CMESP -- MESP/CMESP variations and cousins -- Applications -- Basic formulae and inequalities -- Preliminary miscellany -- Square matrices -- Symmetric matrices -- Positive definite and semidefinite matrices -- References -- Index. |
| Record Nr. | UNISA-996495167603316 |
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Fampa Marcia
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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