Abstract
Motivated by the construction of confidence intervals in statistics, we study optimal configurations of 2d − 1 lines in real projective space ℝℙd−1. For small d, we determine line sets that numerically minimize a wide variety of potential functions among all configurations of 2d − 1 lines through the origin. Numerical experiments verify that our findings enable to assess efficiently the tightness of a bound arising from the statistical literature.
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