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Nested Stochastic Gradient Descent for (Generalized) Sinkhorn Distance-Regularized Distributionally Robust Optimization

  • The paper proposes a nested stochastic gradient descent algorithm for solving regularized nonconvex Distributionally Robust Optimization (DRO) problems.
  • The algorithm is designed to handle DRO problems with generalized Sinkhorn distance and nonconvex, unbounded loss functions.
  • The proposed algorithm has polynomial iteration and sample complexities that are independent of data size and parameter dimension.
  • Numerical experiments demonstrate the efficiency and robustness of the algorithm.

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