Local Polynomial Regression for Symmetric Positive Definite Matrices.

@article{Yuan2012LocalPR,
  title={Local Polynomial Regression for Symmetric Positive Definite Matrices.},
  author={Ying Yuan and Hongtu Zhu and Weili Lin and J. s. Marron},
  journal={Journal of the Royal Statistical Society. Series B, Statistical methodology},
  year={2012},
  volume={74 4},
  pages={697-719}
}
Local polynomial regression has received extensive attention for the nonparametric estimation of regression functions when both the response and the covariate are in Euclidean space. However, little has been done when the response is in a Riemannian manifold. We develop an intrinsic local polynomial regression estimate for the analysis of symmetric positive definite (SPD) matrices as responses that lie in a Riemannian manifold with covariate in Euclidean space. The primary motivation and… CONTINUE READING
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