Metric Algebraic Geometry /

Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric questions, such as optimization with respect to distances. After a short dive i...

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Bibliographic Details
Main Authors:	Breiding, Paul (Author), Kohn, Kathlén (Author), Sturmfels, Bernd (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Edition:	1st ed. 2024.
Series:	Oberwolfach Seminars, 53
Subjects:	Algebraic geometry. Geometry, Differential. Artificial intelligence > Data processing. Numerical analysis. Algebraic Geometry. Differential Geometry. Data Science. Numerical Analysis. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Preface
Historical Snapshot
Critical Equations
Computations
Polar Degrees
Wasserstein Distance
Curvature
Reach and Offset
Voronoi Cells
Condition Numbers
Machine Learning
Maximum Likelihood
Tensors
Computer Vision
Volumes of Semialgebraic Sets
Sampling
References.