Topology and AI : topological aspects of algorithms for autonomous motion / edited by Michael Farber, Jesús González.

Format:

Book

Contributor:

European Mathematical Society, issuing body.

Farber, Michael, 1951- editor.

González, Jesús, 1966- editor.

Series:

EMS series in industrial and applied mathematics ; 4.

EMS series in industrial and applied mathematics ; 4

Language:

English

Subjects (All):

Topological algebras--Technological innovations.

Topological algebras.

Robotics.

Artificial intelligence--Mathematical models.

Artificial intelligence.

Physical Description:

xii, 388 pages : illustrations (some color) ; 24 cm.

Other Title:

Topological aspects of algorithms for autonomous motion

Place of Publication:

Berlin : EMS Press, [2024]

Summary:

"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."-- Back cover.

Contents:

Preface / Michael Farber, Jesús González

Autonomous robots, motion algorithms and topology / Michael Farber

Equivalent environments and covering spaces for robots / Vadim K. Weinstein, Steven M. LaValle

Some geometric and topological data-driven methods in robot motion path planning / Boris Goldfarb

Towards control, learning and intelligence in reconfigurable systems / Dan P. Guralnik

Geometric and topological properties of manifolds in robot motion planning / Stephan Mescher

Equivariant topological complexities / Mark Grant

Computing with the TC-canonical class / Lucile Vandembroucq

Motion planning in real projective spaces / Jesús González

Generalized topological complexity and its monoidal version / José Manuel García-Calcines

Robotics and the fundamental group / John F. Oprea

Geodesic complexity / Donald M. Davis

Farber's conjecture and beyond / Ben Knudsen

Topological complexity of a map / Petar Pavešić

Distributional topological complexity and LS-category / Alexander Dranishnikov, Ekansh Jauhari.

Notes:

"EMS Press, an imprint of the European Mathematical Society"--Title page verso.

Includes bibliographical references.

ISBN:

9783985470761

3985470766

OCLC:

1467831698

Publisher Number:

90101361683