Huber means on Riemannian manifolds
黎曼流形上的 Huber 均值
Abstract This article introduces Huber means on Riemannian manifolds, providing a robust alternative to the Fréchet mean by integrating elements of both L2 and L1 loss functions. The Huber means are designed to be highly resistant to outliers while maintaining efficiency, making it a valuable generalization of Huber’s M-estimator for manifold-valued data. We comprehensively investigate the statistical and computational aspects of Huber means, demonstrating their utility in…