论文标题
多面体规范下代数品种的Voronoi图
Voronoi diagrams of algebraic varieties under polyhedral norms
论文作者
论文摘要
我们研究了歧管和品种相对于多面体规范的伏诺图。我们在Voronoi细胞的尺寸上提供上限和下限。对于代数品种，我们计算它们的全维伏罗尼元细胞。作为一种应用，我们考虑离散概率分布之间的多面体遗嘱仪表式距离。
We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties, we count their full-dimensional Voronoi cells. As an application, we consider the polyhedral Wasserstein distance between discrete probability distributions.
