Spline Interpolation on the Manifold of Probability Measures

Ines Adouani and Chafik Samir ()
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Ines Adouani: University of Sousse, Higher Institute of Applied Sciences and Technology of Sousse (ISSAT)
Chafik Samir: University of Clermont Auvergne (UCA)

Chapter Chapter 6 in Regression and Fitting on Manifold-valued Data, 2024, pp 85-113 from Springer

Abstract: Abstract In this chapter, we present an efficient and accurate algorithm for constructing a $$C^{2}$$ C 2 Bézier spline that interpolates a given ordered set of data points on the space of probability measuresSpace of probability measures $$\mathcal {P}_{+}$$ P + $$\mathcal {P}_{+}$$ P + , equipped with the Fisher–Rao metric. The distinctive aspect of the proposed method lies in its exploration of the inherent Riemannian structure within the space of probability measures, making the solution computationally feasible.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-61712-6_6

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DOI: 10.1007/978-3-031-61712-6_6

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