Metric Algebraic Geometry
Metric Algebraic Geometry
English | 2024 | ISBN: 3031514610 | 225 Pages | PDF (True) | 8 MB
English | 2024 | ISBN: 3031514610 | 225 Pages | PDF (True) | 8 MB
After a short dive into 19th-century geometry of plane curves, we turn to problems expressed by polynomial equations over the real numbers. The solution sets are real algebraic varieties. Many of our metric problems arise in data science, optimization and statistics. These include minimizing Wasserstein distances in machine learning, maximum likelihood estimation, computing curvature, or minimizing the Euclidean distance to a variety.