Tangles: A structural approach to artificial intelligence in the empirical sciences
Reinhard Diestel, Cambridge University Press 2024
Ebook, plus open-source software including tutorials, available from tangles-book.com
Note: This is an 'outreach' book not primarily about tangle theory, but about applying tangles in a multitude of unexpected ways and areas. Tangles in graphs are covered in my Graph Theory book, 5th ed'n.
Joint tangle-application projects, additions to our software library etc are most welcome - just get in touch!
RD
Publisher's blurb:
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.
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