Tangles : A Structural Approach to Artificial Intelligence in the Empirical Sciences / Reinhard Diestel.

Format:

Book

Author/Creator:

Diestel, Reinhard, author.

Language:

English

Subjects (All):

Artificial intelligence.

Graph theory--Data processing.

Graph theory.

Science--Mathematics.

Science.

Physical Description:

1 online resource (xiii, 281 pages) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge, England : Cambridge University Press, [2024]

Summary:

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--Publisher's description

Contents:

Tangles : a New Paradigm for Clusters and Types. The idea behind tangles

The notion of a tangle

The two main tangle theorems : an informal preview

Tangles in Different Contexts : a Collection of Informal Examples. Examples from the natural sciences

Examples from the social sciences

Examples from data science

The Mathematics of Tangles : Concepts, Theorems, Algorithms. The formal setup for tangles

Tangle theorems

Order functions

Choosing the feature system

Algorithms

Applying Tangles : Back to the Examples. Applying tangles in the natural sciences

Applying tangles in the social sciences

Applying tangles in data science

Notes:

Title from publisher's bibliographic system (viewed on 16 May 2024).

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781009473330

1009473336

9781009473323

1009473328