Panaretos, Victor M.; Pham, Tung; Yao, Zhigang - In: Journal of the American Statistical Association 109 (2014) 505, pp. 424-436
We revisit the problem of extending the notion of principal component analysis (PCA) to multivariate datasets that satisfy nonlinear constraints, therefore lying on Riemannian manifolds. Our aim is to determine curves on the manifold that retain their canonical interpretability as principal...