An Introduction to Optimization on Smooth Manifolds (Hardcover)

An Introduction to Optimization on Smooth Manifolds By Nicolas Boumal Cover Image
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Description


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 students and researchers in applied mathematics, computer science and engineering gain a firm mathematical grounding to use these tools confidently in their research. Its charts-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.
Product Details
ISBN: 9781009166171
ISBN-10: 1009166174
Publisher: Cambridge University Press
Publication Date: March 16th, 2023
Pages: 400
Language: English