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Decentralized Bilevel Optimization: A Perspective from Transient Iteration Complexity

  • Stochastic bilevel optimization (SBO) is increasingly important in machine learning and nested structures.
  • Decentralized approaches, like D-SOBA, improve communication efficiency and algorithmic robustness.
  • D-SOBA framework has two variants: D-SOBA-SO with second-order matrices, and D-SOBA-FO with first-order gradients.
  • Comprehensive non-asymptotic convergence analysis of D-SOBA reveals the impact of network topology and data heterogeneity.

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