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  • Publisher:
    Cambridge University Press
    Publication date:
    May 2024
    May 2024
    ISBN:
    9781009473323
    9781009473316
    DOI:
    https://doi.org/10.1017/9781009473323
    Dimensions:
    (229 x 152 mm)
    Weight & Pages:
    0.57kg, 298 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Physics and Astronomy, Discrete Mathematics Information Theory and Coding, Statistical Physics
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    Subjects:
    Mathematics, Physics and Astronomy, Discrete Mathematics Information Theory and Coding, Statistical Physics
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    Book description

    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.

    Reviews

    ‘As a sociologist, I am impressed by 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

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