• Corpus ID: 218486907

# Geodesic regression

@article{Hansen2020GeodesicR,
title={Geodesic regression},
author={Frank Hansen},
journal={ArXiv},
year={2020},
volume={abs/2005.01326}
}
• F. Hansen
• Published 4 May 2020
• Mathematics
• ArXiv
The theory of geodesic regression aims to find a geodesic curve which is an optimal fit to a given set of data. In this article we restrict ourselves to the Riemannian manifold of positive definite operators (matrices) on a Hilbert space of finite dimension. There is a unique geodesic curve connecting two positive definite operators, and it is given by the weighted geometric mean. The function that measures the squared Riemannian metric distance between an operator and a geodesic curve is not…
2 Citations
• Computer Science
Frontiers in Neuroscience
• 2021
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