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Tangles
A Structural Approach to Artificial Intelligence in the Empirical Sciences
Buch von Reinhard Diestel
Sprache: Englisch

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Beschreibung
The mathematical theory of tangles, the centrepiece of the celebrated Robertson-Seymour theory of graph minors, finds precise structure in imprecise data. Assuming only basic undergraduate mathematics, this book shows how tangles can identify, relate, and structure types in data: of behaviour, political views, texts, or proteins.
The mathematical theory of tangles, the centrepiece of the celebrated Robertson-Seymour theory of graph minors, finds precise structure in imprecise data. Assuming only basic undergraduate mathematics, this book shows how tangles can identify, relate, and structure types in data: of behaviour, political views, texts, or proteins.
Über den Autor
Reinhard Diestel is Chair of Discrete Mathematics at Universität Hamburg, where he works on structural graph theory and combinatorics. He is the author of the leading graduate-level text 'Graph Theory' (6th edition, 2024), which has been translated into German, Russian, Japanese, and Chinese.
Inhaltsverzeichnis
Part I. Tangles - A New Paradigm for Clusters and Types: 1. The idea behind tangles; 2. The notion of a tangle; 3. The two main tangle theorems: an informal preview; Part II. Tangles in Different Contexts - A Collection of Informal Examples: 4. Examples from the natural sciences; 5. Examples from the social sciences; 6. Examples from data science; Part III. The Mathematics of Tangles - Concepts, Theorems, Algorithms: 7. The formal setup for tangles; 8. Tangle theorems; 9. Order functions; 10. Choosing the feature system; 11. Algorithms; Part IV. Applying Tangles - Back to the Examples: 12. Applying tangles in the natural sciences; 13. Applying tangles in the social sciences; 14. Applying tangles in data science; Notes; References; Symbol index; Subject index.
Details
Erscheinungsjahr: 2024
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009473316
ISBN-10: 100947331X
Sprache: Englisch
Einband: Gebunden
Autor: Diestel, Reinhard
Hersteller: Cambridge University Press
Maße: 233 x 160 x 23 mm
Von/Mit: Reinhard Diestel
Erscheinungsdatum: 23.05.2024
Gewicht: 0,552 kg
Artikel-ID: 128547947
Über den Autor
Reinhard Diestel is Chair of Discrete Mathematics at Universität Hamburg, where he works on structural graph theory and combinatorics. He is the author of the leading graduate-level text 'Graph Theory' (6th edition, 2024), which has been translated into German, Russian, Japanese, and Chinese.
Inhaltsverzeichnis
Part I. Tangles - A New Paradigm for Clusters and Types: 1. The idea behind tangles; 2. The notion of a tangle; 3. The two main tangle theorems: an informal preview; Part II. Tangles in Different Contexts - A Collection of Informal Examples: 4. Examples from the natural sciences; 5. Examples from the social sciences; 6. Examples from data science; Part III. The Mathematics of Tangles - Concepts, Theorems, Algorithms: 7. The formal setup for tangles; 8. Tangle theorems; 9. Order functions; 10. Choosing the feature system; 11. Algorithms; Part IV. Applying Tangles - Back to the Examples: 12. Applying tangles in the natural sciences; 13. Applying tangles in the social sciences; 14. Applying tangles in data science; Notes; References; Symbol index; Subject index.
Details
Erscheinungsjahr: 2024
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009473316
ISBN-10: 100947331X
Sprache: Englisch
Einband: Gebunden
Autor: Diestel, Reinhard
Hersteller: Cambridge University Press
Maße: 233 x 160 x 23 mm
Von/Mit: Reinhard Diestel
Erscheinungsdatum: 23.05.2024
Gewicht: 0,552 kg
Artikel-ID: 128547947
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