Topology and AI
Topological Aspects of Algorithms for Autonomous Motion
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Beschreibung
The task of programming a machine to move autonomously and to make autonomous decisions is one of the major challenges of AI. The algorithms generating autonomous robot motions and autonomous decisions are sections of certain fibre bundles and their complexity and structure can be understood using tools of algebraic topology. The book gives an overview of the current achievements in the field of topological robotics concerned with motion algorithms, and in particular how their complexity depends on the topology of the configuration space of the system and the external conditions. The book is a collection of survey articles written by leading researchers in the fields of mathematics, engineering and computer science, with each chapter surveying a different theme or technique.
Autor*in
Michael Farber
Queen Mary University of London, UK
Themen in »Topology and AI«
topological robotics robot motion planning topological complexity geodesic complexity equivariant topological complexity sectional category reconfigurable systems reactive control non-positive curvature graph braid groups