Geodesic Regression on Riemannian Manifolds

  title={Geodesic Regression on Riemannian Manifolds},
  author={P. Thomas Fletcher},
This paper introduces a regression method for modeling the relationship between a manifold-valued random variable and a real-valued independent parameter. The principle is to fit a geodesic curve, parameterized by the independent parameter, that best fits the data. Error in the model is evaluated as the sum-of-squared geodesic distances from the model to the data, and this provides an intrinsic least squares criterion. Geodesic regression is, in some sense, the simplest parametric model that… CONTINUE READING
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