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Cover: 9781009166157 | An Introduction to Optimization on Smooth Manifolds | Nicolas Boumal
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An Introduction to Optimization on Smooth Manifolds
Taschenbuch von Nicolas Boumal
Sprache: Englisch

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Beschreibung
"This is a modern invitation to algorithms for optimization with geometry for researchers and advanced undergraduate and graduate students in applied mathematics, computer science and engineering. Readers will appreciate the approachable, yet proof-based, introduction to differential geometry, which is often restricted to pure mathematics curricula"--
"This is a modern invitation to algorithms for optimization with geometry for researchers and advanced undergraduate and graduate students in applied mathematics, computer science and engineering. Readers will appreciate the approachable, yet proof-based, introduction to differential geometry, which is often restricted to pure mathematics curricula"--
Über 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.
Inhaltsverzeichnis
Notation; 1. Introduction; 2. Simple examples; 3. Embedded geometry: first order; 4. First-order optimization algorithms; 5. Embedded geometry: second order; 6. Second-order optimization algorithms; 7. Embedded submanifolds: examples; 8. General manifolds; 9. Quotient manifolds; 10. Additional tools; 11. Geodesic convexity; References; Index.
Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781009166157
ISBN-10: 1009166158
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Boumal, Nicolas
Hersteller: Cambridge University Press
Maße: 252 x 180 x 22 mm
Von/Mit: Nicolas Boumal
Erscheinungsdatum: 16.03.2023
Gewicht: 0,685 kg
Artikel-ID: 124006576
Über 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.
Inhaltsverzeichnis
Notation; 1. Introduction; 2. Simple examples; 3. Embedded geometry: first order; 4. First-order optimization algorithms; 5. Embedded geometry: second order; 6. Second-order optimization algorithms; 7. Embedded submanifolds: examples; 8. General manifolds; 9. Quotient manifolds; 10. Additional tools; 11. Geodesic convexity; References; Index.
Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781009166157
ISBN-10: 1009166158
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Boumal, Nicolas
Hersteller: Cambridge University Press
Maße: 252 x 180 x 22 mm
Von/Mit: Nicolas Boumal
Erscheinungsdatum: 16.03.2023
Gewicht: 0,685 kg
Artikel-ID: 124006576
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