A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric

Author:

Guigui NicolasORCID,Pennec Xavier

Publisher

Springer International Publishing

Reference21 articles.

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2. Barbaresco, F., Gay-Balmaz, F.: Lie group cohomology and (Multi) symplectic integrators: new geometric tools for lie group machine learning based on souriau geometric statistical mechanics. Entropy 22(5), 498 (2020). https://doi.org/10.3390/e22050498

3. Barrau, A., Bonnabel, S.: The invariant extended kalman filter as a stable observer. IEEE Trans. Autom. Control 62(4), 1797–1812 (2017). https://doi.org/10.1109/TAC.2016.2594085

4. Brooks, D., Schwander, O., Barbaresco, F., Schneider, J.Y., Cord, M.: Riemannian batch normalization for SPD neural networks. In: Wallach, H., Larochelle, H., Beygelzimer, A., d’Alché Buc, F., Fox, E., Garnett, R. (eds.) Advances in Neural Information Processing Systems 32, pp. 15489–15500. Curran Associates, Inc. (2019)

5. Cendra, H., Holm, D.D., Marsden, J.E., Ratiu, T.S.: Lagrangian reduction, the euler-Poincaré equations, and semidirect products. Am. Math. Soc. Translations 186(1), 1–25 (1998)

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