@inproceedings{Navayazdani2025, author = {Navayazdani, Esfandiar}, title = {Ridge Regression for Manifold-valued Time-Series with Application to Meteorological Forecast}, booktitle = {Geometric Science of Information}, publisher = {Springer Nature}, arxiv = {http://arxiv.org/abs/2411.18339v2}, doi = {10.1007/978-3-032-03921-7_1}, pages = {3 -- 11}, year = {2025}, abstract = {We propose a natural intrinsic extension of the ridge regression from Euclidean spaces to general manifolds, which relies on Riemannian least-squares fitting, empirical covariance, and Mahalanobis distance. We utilize it for time-series prediction and apply the approach to forecast hurricane tracks and their wind speeds.}, language = {en} }