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Enhancing Distributional Robustness in Principal Component Analysis by Wasserstein Distances

  • 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.

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