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Pattern Recognition on Oriented Matroids.

By: Material type: TextTextPublisher: Berlin/Boston : Walter de Gruyter GmbH, 2017Copyright date: ©2017Edition: 1st edDescription: 1 online resource (232 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110531145
Subject(s): Genre/Form: Additional physical formats: Print version:: Pattern Recognition on Oriented MatroidsDDC classification:
  • 511/.6
LOC classification:
  • QA166.6.M388 2017
Online resources:
Contents:
Intro -- 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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Intro -- 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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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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