Book contents
- Frontmatter
- Contents
- Foreword
- Symbols
- Preface
- 1 Introduction
- Part One Historical and Theoretical Background
- 2 Positive-definite Kernels and Moment Problems
- 3 Univariate Christoffel–Darboux Analysis
- 4 Multivariate Christoffel–Darboux Analysis
- 5 Singular Supports
- Part Two Statistics and Applications to Data Analysis
- Part Three Complementary Topics
- References
- Index
5 - Singular Supports
from Part One - Historical and Theoretical Background
Published online by Cambridge University Press: 31 March 2022
Book contents
- Frontmatter
- Contents
- Foreword
- Symbols
- Preface
- 1 Introduction
- Part One Historical and Theoretical Background
- 2 Positive-definite Kernels and Moment Problems
- 3 Univariate Christoffel–Darboux Analysis
- 4 Multivariate Christoffel–Darboux Analysis
- 5 Singular Supports
- Part Two Statistics and Applications to Data Analysis
- Part Three Complementary Topics
- References
- Index
Summary
Basic concepts and results of real and complex algebraic geometry enter into play when dealing with the estimation of measures supported by algebraic varieties. Some geometric constraints on the supporting variety are inherited from the very beginning of the modelization, such as a sphere for estimating an orientation in space. Well-adapted results of multivariate pluripotential theory play a crucial role here.
Keywords
- Type
- Chapter
- Information
- The Christoffel–Darboux Kernel for Data Analysis , pp. 61 - 74Publisher: Cambridge University PressPrint publication year: 2022