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  1. Home > Articles & Issues >
  2. Articles >
  3. Minimal angle spread ...
Article

Minimal angle spread in the probability simplex with respect to the uniform distribution

Heinz H. Bauschke, Peter A. V. DiBerardino
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Open on arXiv
Submitted on
May 19, 2021
Accepted on
April 22, 2022
Published on
April 27, 2022
Last modified on
March 31, 2025
Volume 3
Volume 3
Original research articles
DOI
10.46298/jnsao-2022-7492
License
Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Natural Sciences and Engineering Research Council of Canada
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1029
Views
1031
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Minimal angle spread in the probability simplex with respect to the uniform distribution

Heinz H. Bauschke, Peter A. V. DiBerardino
Abstract
We compute the minimal angle spread with respect to the uniform distribution in the probability simplex. The resulting optimization problem is analytically solved. The formula provided shows that the minimal angle spread approaches zero as the dimension tends to infinity. We also discuss an application in cognitive science.
Keywords
  • Mathematics - Optimization and Control
  • Mathematics - Probability
  • 52A20, 52B11 (Primary) 90C25 (Secondary)
Mathematics Subject Classification 2020
  • 52B55 - Computational aspects related to convexity
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