基于非线性支撑测度的逼近
Approximation by finitely supported measures
摘要：
给出了黎曼流形上紧支撑的概率测度，研究了它被紧支撑测度（在任意指数p的Wasserstein距离中）逼近的渐近速度.这个问题已经在“分布的量子化”和当p=1时的“定位问题”的名称下进行了研究。当p=2时，它与质心Voronoi镶嵌相关联。
英文摘要：
Given a compactly supported probability measure on a Riemannian manifold, we study the asymptotic speed at which it can be approximated (in Wasserstein distance of any exponent p) by finitely supported measure. This question has been studied under the names of ``quantization of distributions'' and, when p=1, ``location problem''. When p=2, it is linked with Centroidal Voronoi Tessellations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
