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math.ST2020★ 3 cited
Shrinkage Estimation of the Frechet Mean in Lie groups
Chun-Hao Yang, Baba C. Vemuri
Data in non-Euclidean spaces are commonly encountered in many fields of Science and Engineering. For instance, in Robotics, attitude sensors capture orientation which is an element…
math.ST2020★ 1 cited
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices
Chun-Hao Yang, Hani Doss, Baba C. Vemuri
The James-Stein estimator is an estimator of the multivariate normal mean and dominates the maximum likelihood estimator (MLE) under squared error loss. The original work inspired…