Spline Interpolation on the Manifold of Probability Density Functions

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 7 in Regression and Fitting on Manifold-valued Data, 2024, pp 115-135 from Springer

Abstract: Abstract This chapter delves into the challenge of spline interpolations on $$\mathcal {P}$$ P , the space of probability density functions, especially when dealing with a limited set of observations $$p_i \in \mathcal {P}$$ p i ∈ P . Fitting a set of PDFs points constitutes a vital area of research in theoretical and computational statistics, with widespread applications in fields such as machine learning, medical imaging, computer vision, signal/video processing, and beyond

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-61712-6_7

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DOI: 10.1007/978-3-031-61712-6_7

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