An Introduction to Optimization on Smooth Manifolds - Couverture rigide

Boumal, Nicolas

 
9781009166171: An Introduction to Optimization on Smooth Manifolds
Couverture rigide
ISBN 10 : 1009166174 ISBN 13 : 9781009166171
Editeur : Cambridge University Press, 2023

Synopsis

Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dynamical systems and scientific computing. This text introduces the differential geometry and Riemannian geometry concepts that will help applied mathematics, computer science and engineering students and researchers gain a firm mathematical grounding to use these tools confidently in their research. Its chart-last approach will prove more intuitive from an optimizer's viewpoint, and all definitions and theorems are motivated to build time-tested optimization algorithms. Starting from first principles, the text goes on to cover current research on topics including worst-case complexity and geodesic convexity. Readers will appreciate the tricks of the trade for conducting research and for numerical implementations sprinkled throughout the book.

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À propos de l?auteur

Nicolas Boumal is Assistant Professor of Mathematics at the École Polytechnique Fédérale de Lausanne (EPFL) in Switzerland, and an Associate Editor of the journal Mathematical Programming. His current research focuses on optimization, statistical estimation and numerical analysis. Over the course of his career, Boumal has contributed to several modern theoretical advances in Riemannian optimization. He is a lead-developer of the award-winning toolbox Manopt, which facilitates experimentation with optimization on manifolds.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2023
Langue
anglais
ISBN 10 
1009166174
ISBN 13 
9781009166171
Reliure
Relié
Nombre de pages
400
Coordonnées du fabricant
non disponible
Personne responsable
Julien Soullard
contact@avery.fr

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Autres éditions populaires du même titre

9781009166157: An Introduction to Optimization on Smooth Manifolds

Edition présentée

ISBN 10 :  1009166158 ISBN 13 :  9781009166157
Editeur : Cambridge University Press, 2023
Couverture souple