Metric Algebraic Geometry

Metric Algebraic Geometry

Algebraic geometry,
Databases

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 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.

Paul Breiding,
Kathlén Kohn,
Bernd Sturmfels

https://library.oapen.org/bitstream/handle/20.500.12657/88360/978-3-031-51462-3.pdf?sequence=1

Springer Nature

2024

Mustabsyirah

Creative Commons

PDF

English

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