An Introduction to Optimization on Smooth Manifolds - Softcover

Boumal, Nicolas

 
9781009166157: An Introduction to Optimization on Smooth Manifolds
Softcover
ISBN 10: 1009166158 ISBN 13: 9781009166157
Verlag: Cambridge University Press, 2023

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

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Verlag
Cambridge University Press
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
1009166158
ISBN 13 
9781009166157
Einband
Tapa blanda
Anzahl der Seiten
358
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Frankreich

Weitere beliebte Ausgaben desselben Titels

9781009166171: An Introduction to Optimization on Smooth Manifolds

Vorgestellte Ausgabe

ISBN 10:  1009166174 ISBN 13:  9781009166171
Verlag: Cambridge University Press, 2023
Hardcover