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Communication Dans Un Congrès Année : 2020

Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces

Résumé

We address here the construction of wrapped probability densities on Lie groups and quotient of Lie groups using the exponential map. The paper starts by briefly reviewing the different approaches to build densities on a manifold and shows the interest of wrapped distributions. We then construct wrapped densities on SE(n) and discuss their statistical estimation. We conclude by an opening to the case of symmetric spaces.
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Dates et versions

hal-03154401 , version 1 (28-02-2021)

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  • HAL Id : hal-03154401 , version 1

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Emmanuel Chevallier, Nicolas Guigui. Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces. Joint Structures and Common Foundations of Statistical Physics, Information Geometry and Inference for Learning, Jul 2020, Les Houches, France. ⟨hal-03154401⟩
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