An Introduction to Optimization on Smooth Manifolds Boumal Nicolas
An Introduction to Optimization on Smooth Manifolds Boumal Nicolas Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans…
Specifikacia An Introduction to Optimization on Smooth Manifolds Boumal Nicolas
An Introduction to Optimization on Smooth Manifolds Boumal Nicolas
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. 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. 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.
Readers will appreciate the tricks of the Starting from first principles, the text goes on to cover current research on topics including worst-case complexity and geodesic convexity.