Tangles: A Structural Approach to Artificial Intelligence in the Empirical Sciences

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Reinhard Diestel (Universität Hamburg)

Tangles

A Structural Approach to Artificial Intelligence in the Empirical Sciences

Reinhard Diestel (Universität Hamburg)

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English

Cambridge University Press
23 May 2024

Data analysis: general; Discrete mathematics; Biology, life sciences; Machine learning; Pattern recognition

Tangles offer a precise way to identify structure in imprecise data. By grouping qualities that often occur together, they not only reveal clusters of things but also types of their qualities: types of political views, of texts, of health conditions, or of proteins. Tangles offer a new, structural, approach to artificial intelligence that can help us understand, classify, and predict complex phenomena. This has become possible by the recent axiomatization of the mathematical theory of tangles, which has made it applicable far beyond its origin in graph theory: from clustering in data science and machine learning to predicting customer behaviour in economics; from DNA sequencing and drug development to text and image analysis. Such applications are explored here for the first time. Assuming only basic undergraduate mathematics, the theory of tangles and its potential implications are made accessible to scientists, computer scientists, and social scientists.

By: Reinhard Diestel (Universität Hamburg)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 161mm, Spine: 21mm
Weight: 570g
ISBN: 9781009473316
ISBN 10: 100947331X
Pages: 298
Publication Date: 23 May 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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.

Reviews for Tangles: A Structural Approach to Artificial Intelligence in the Empirical Sciences

'As a sociologist, I am impressed by Reinhard Diestel's innovative approach. Tangles open up completely new ways for empirical social research to gain insights that go beyond the usual generation of hypotheses and their verification or falsification. Tangles offer the opportunity to make the 'big sea of silent data' speak for itself.' Rolf von Lüde, Universität Hamburg