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Finite frames, frame potentials and determinantal point processes on the sphere
Statistics & Probability Letters ( IF 0.9 ) Pub Date : 2021-04-28 , DOI: 10.1016/j.spl.2021.109129
Masatake Hirao

Herein, we address the expectations of frame potentials of three types of determinantal point processes (DPPs) on the unit sphere Sd: (i) spherical ensembles on S2; (ii) harmonic ensembles on Sd and (iii) jittered sampling point processes on Sd. The random point configurations generated by such DPPs converge more rapidly towards finite unit norm tight frames (FUNTFs) than the Poisson point processes on the unit sphere.



中文翻译:

球体上的有限框架,框架势和行列式点过程

在此,我们解决了单位球面上三种类型的行列式点过程(DPP)的框架势的期望小号d:(i)球形合奏 小号2个; (ii)谐波合奏小号d (iii)抖动的采样点过程 小号d。与单位球面上的泊松点过程相比,由此类DPP生成的随机点配置朝有限单位规范紧密框架(FUNTF)收敛更快。

更新日期:2021-05-06
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