Probability density estimation on the hyperbolic space applied to radar processing

Abstract : Main techniques of probability density estimation on Riemannian manifolds are reviewed in the hyperbolic case. For computational reasons we chose to focus on the kernel density estimation and we provide the expression of Pelletier estimator on hyperbolic space. The method is applied to density estimation of reflection coefficients from radar observations.
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Emmanuel Chevallier, Frédéric Barbaresco, Jesus Angulo. Probability density estimation on the hyperbolic space applied to radar processing. International Conference on Networked Geometric Science of Information, Oct 2015, Palaiseau, France. pp.753-761, ⟨10.1007/978-3-319-25040-3_80⟩. ⟨hal-01121090⟩

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