<ul data-eligibleForWebStory="false">Researchers propose a method to enhance distributional robustness in Principal Component Analysis by using Wasserstein distances.They introduce a distributionally robust optimization model for PCA to handle uncertainty in probability distribution.The proposed approach involves a smoothing manifold proximal gradient algorithm to tackle the challenging nonsmooth optimization problem.Numerical experiments confirm the efficacy and scalability of the algorithm, emphasizing the importance of the DRO model for PCA.