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math.ST2026
Bi-invariant Geodesic Regression: Existence, Uniqueness, and Convergence
Martin Hanik, Christoph von Tycowicz
Bi-invariant geodesic regression generalizes linear regression to Lie groups. Its main feature is that it respects the symmetries of the group so that the resulting estimator is in…
math.ST2020★ 3 cited
Bi-invariant Two-Sample Tests in Lie Groups for Shape Analysis
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
We propose generalizations of the Hotelling's statistic and the Bhattacharayya distance for data taking values in Lie groups. A key feature of the derived measures is that th…