• Corpus ID: 218486907

Geodesic regression

  title={Geodesic regression},
  author={Frank Hansen},
  • 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… 

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