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Finite frames, frame potentials and determinantal point processes on the sphere

Masatake Hirao

Statistics & Probability Letters, 2021, vol. 176, issue C

Abstract: 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.

Keywords: Finite frame; Frame potential; Determinantal point process on the sphere; Spherical ensemble; Harmonic ensemble; Jittered sampling point process (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109129

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