Graphs for Pattern Recognition

Resource Information

The work Graphs for Pattern Recognition represents a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library. This resource is a combination of several types including: Work, Language Material, Books.

Label

Graphs for Pattern Recognition

Creator

• Gainanov, Damir

Subject

• Deutsche Arbeitsgemeinschaft für Mustererkennung
• Deutsche Arbeitsgemeinschaft für Mustererkennung
• Electronic books
• Graph theory
• Graph theory
• Graphentheorie
• Inequalities (Mathematics)
• Kombinatorische Optimierung
• Lineares Ungleichungssystem
• MATHEMATICS -- Geometry | General
• Inequalities (Mathematics)

Language

eng

Summary

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 in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions. Contents: Preface Pattern recognition, infeasible systems of linear inequalities, and graphs Infeasible monotone systems of constraints Complexes, (hyper)graphs, and inequality systems Polytopes, positive bases, and inequality systems Monotone Boolean functions, complexes, graphs, and inequality systems Inequality systems, committees, (hyper)graphs, and alternative covers Bibliography List of notation Index

Member of

• Ebook Central Academic Complete

Cataloging source

IDEBK

Dewey number

516/.1

Index

index present

LC call number

QA295

LC item number

.G275 2016

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography