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[null,"1.","Record Nr.",null,"UNINA9910134795603321"]
[null,null,"Autore",null,"Gainanov Damir (Damir N.)"]
[null,null,"Titolo",null,"Graphs for pattern recognition : infeasible systems of linear inequalities / / Damir Gainanov"]
[null,null,"Pubbl/distr/stampa",null,"De Gruyter, 2016"]
[{"$nulls":4},"Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016"]
[{"$nulls":4},"©2016"]
[null,null,"ISBN",null,"3-11-048030-1"]
[{"$nulls":4},"3-11-048106-5"]
[null,null,"Descrizione fisica",null,"1 online resource (x, 147 pages)"]
[null,null,"Disciplina",null,"516/.1"]
[null,null,"Soggetti",null,"Inequalities (Mathematics)"]
[{"$nulls":4},"Graph theory"]
[null,null,"Lingua di pubblicazione",null,"Tedesco"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Frontmatter -- Preface -- Contents -- 1. Pattern recognition, infeasible systems of linear inequalities, and graphs -- 2. Complexes, (hyper)graphs, and inequality systems -- 3. Polytopes, positive bases, and inequality systems -- 4. Monotone Boolean functions, complexes, graphs, and inequality systems -- 5. Inequality systems, committees, (hyper)graphs, and alternative covers -- Bibliography -- List of notation -- Index"]
[null,null,null,"Sommario/riassunto","This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as building blocks of geometric decision rules for pattern recognition.Infeasible systems of linear inequalities prove to be a key object in pattern recognition problems described in geometric terms thanks to the committee method. Such infeasible systems of inequalities represent an important special subclass of infeasible systems of constraints with a monotonicity property - systems whose multi-indices of feasible subsystems form abstract simplicial complexes (independence systems), which are fundamental objects of combinatorial topology.The methods of data mining and machine learning discussed in this monograph form the foundation of technologies like big data and deep learning, which play a growing role "]
[{"$nulls":4},"in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions. Contents:PrefacePattern recognition, infeasible systems of linear inequalities, and graphsInfeasible monotone systems of constraintsComplexes, (hyper)graphs, and inequality systemsPolytopes, positive bases, and inequality systemsMonotone Boolean functions, complexes, graphs, and inequality systemsInequality systems, committees, (hyper)graphs, and alternative coversBibliographyList of notationIndex"]
[null,"2.","Record Nr.",null,"UNISALENTO991001375929707536"]
[null,null,"Autore",null,"Truman, Aubrey"]
[null,null,"Titolo",null,"Stochastic analysis and applications : proc. of the intern. conf. held in Swansea, April 11-15, 1983 / eds. A. Truman, D. Williams"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; New York : Springer-Verlag, 1984"]
[null,null,"ISBN",null,"3540138919"]
[null,null,"Descrizione fisica",null,"199 p. : ill. ; 25 cm."]
[null,null,"Collana",null,"Lecture notes in mathematics, 0075-8434 ; 1095"]
[null,null,"Classificazione",null,"AMS 60-06"]
[{"$nulls":4},"AMS 60-XX"]
[{"$nulls":4},"AMS 60H05"]
[{"$nulls":4},"AMS 60H10"]
[{"$nulls":4},"AMS 82A05 (1985)"]
[{"$nulls":4},"QA3"]
[null,null,"Disciplina",null,"510"]
[null,null,"Soggetti",null,"Stochastic analysis - Congresses"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes bibliographies."]
[{"$nulls":4},"Includes some papers presented at the Workshop on Stochastic Analysis and its Applications, held in Swansea, Apr. 11-15, 1983"]