Tag: geodesic
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On the Wasserstein Geodesic Principal Component Analysis of probability measures
On the Wasserstein Geodesic Principal Component Analysis of probability measures arXiv:2506.04480v1 Announce Type: new Abstract: This paper focuses on Geodesic Principal Component Analysis (GPCA) on a collection of probability distributions using the Otto-Wasserstein geometry. The goal is to identify geodesic curves in the space of probability measures that best capture the modes of variation of…
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Differentially Private Geodesic and Linear Regression
Differentially Private Geodesic and Linear Regression arXiv:2504.11304v1 Announce Type: new Abstract: In statistical applications it has become increasingly common to encounter data structures that live on non-linear spaces such as manifolds. Classical linear regression, one of the most fundamental methodologies of statistical learning, captures the relationship between an independent variable and a response variable which…