AN INTRODUCTION TO SEMIALGEBRAIC GEOMETRY

By M. Coste. 2002

249 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/77f4f0f1de8e80afc0fe0591ddd4bf3d52098329

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1. Jason D. Lee
2. Simon Shaolei Du
3. Didier Henrion
4. Damek Davis
5. Michael I. Jordan
6. Francis R. Bach
7. Dmitriy Drusvyatskiy
8. Sham M. Kakade

Citations in the corpus

• Stochastic Subgradient Method Converges on Tame Functions (2018, methodology): “Moreover, semialgebraic sets are typically easy to recognize using quantifier elimination; see [12, Chapter 2] for a detailed discussion.”
• Toward Guaranteed Illumination Models for Non-convex Objects (2013, background): “This implies that Υ is a semialgebraic map [Cos00].”
• Semi-algebraic Approximation Using Christoffel–Darboux Kernel (2019, methodology): “By the Tarski–Seidenberg Theorem (see for example [5, Theorem 2.6]), any first order formula involving semi-algebraic sets describes a semi-algebraic set.”
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem (2006, unknown): “These and other results about semialgebraic sets may be found in [ 19, Chapter 2 ], which, in addition, is a very readable introduction to semialgebraic geometry.”