Pattern recognition on oriented matroids /

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Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Matveev, Andrey O. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Temas:
Oriented matroids.
Matroïdes orientés.
MATHEMATICS > General.
Oriented matroids
Orientiertes Matroid
Mustererkennung
(Produktform)Electronic book text
(Zielgruppe)Fachpublikum/ Wissenschaft
(BISAC Subject Heading)MAT036000
(BISAC Subject Heading)COM021030: COM021030 COMPUTERS / Database Management / Data Mining
(BISAC Subject Heading)COM018000: COM018000 COMPUTERS / Data Processing
(BISAC Subject Heading)COM051300: COM051300 COMPUTERS / Programming / Algorithms
Graphentheorie
Committee methods in pattern recognition, hypercubes, hyperplane arrangements, infeasible systems of linear inequalities, oriented matroids
Kombinatorik
Data Mining
Lineares Gleichungssystem
(VLB-WN)9620
(BISAC Subject Heading)COM018000: COM018000 COMPUTERS / Data Processing / General
(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Preface
  • Contents
  • Committees for Pattern Recognition: Infeasible Systems of Linear Inequalities, Hyperplane Arrangements, and Realizable Oriented Matroids
  • 1. Oriented Matroids, the Pattern Recognition Problem, and Tope Committees
  • 2. Boolean Intervals
  • 3. Dehn-Sommerville Type Relations
  • 4. Farey Subsequences
  • 5. Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets
  • 6. Committees of Set Families, and Relative Blocking Constructions in Posets
  • 7. Layers of Tope Committees
  • 8. Three-Tope Committees
  • 9. Halfspaces, Convex Sets, and Tope Committees
  • 10. Tope Committees and Reorientations of Oriented Matroids
  • 11. Topes and Critical Committees
  • 12. Critical Committees and Distance Signals
  • 13. Symmetric Cycles in the Hypercube Graphs
  • Bibliography
  • List of Notation
  • Index.

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