论文标题
双重最佳设计和ChristOffel-Darboux多项式
Dual optimal design and the Christoffel-Darboux polynomial
论文作者
论文摘要
这本简短说明的目的是表明,在近似理论和数据科学中有用的基督佛教 - 佛教 - 达伯(Christoffel-Darboux)多项式在统计中的半代数D-最佳实验设计中自然而然地出现。它仅使用凸分析的基本概念。提到了几何解释和算法后果。
The purpose of this short note is to show that the Christoffel-Darboux polynomial, useful in approximation theory and data science, arises naturally when deriving the dual to the problem of semi-algebraic D-optimal experimental design in statistics. It uses only elementary notions of convex analysis. Geometric interpretations and algorithmic consequences are mentioned.