Tangles

A Structural Approach to Artificial Intelligence in the Empirical Sciences

Quantity

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.

• Explains how the mathematical theory of tangles offers a structural approach to AI in all the empirical sciences
• Features examples from a wide range of disciplines
• Assumes no mathematics beyond a first-year undergraduate course, and the basic language of sets and functions
• Enables readers to test the tangle approach to AI in their own field, using the book with the software available free from the author