Privacy preservation is critical in distributed optimization for systems handling sensitive data, creating a fundamental challenge in balancing convergence and privacy guarantees. To address this challenge, a novel Differentially Private Distributed Gradient Algorithm incorporating memory information (DHB-DP) is proposed. DHB-DP effectively maintains fast convergence while ensuring privacy protection by leveraging historical information. Convergence analysis of the proposed algorithm is presented, and strict \(\epsilon \) -differential privacy is mathematically proven. Finally, the effectiveness and attack resistance of the algorithm are verified through numerical simulations and Deep Leakage from Gradients (DLG) attack experiments.

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Memory-Accelerated Differentially Private Distributed Optimization: Convergence and Privacy Guarantees

  • Pan Ouyang,
  • Xin Yi,
  • Jingwen Yi

摘要

Privacy preservation is critical in distributed optimization for systems handling sensitive data, creating a fundamental challenge in balancing convergence and privacy guarantees. To address this challenge, a novel Differentially Private Distributed Gradient Algorithm incorporating memory information (DHB-DP) is proposed. DHB-DP effectively maintains fast convergence while ensuring privacy protection by leveraging historical information. Convergence analysis of the proposed algorithm is presented, and strict \(\epsilon \) -differential privacy is mathematically proven. Finally, the effectiveness and attack resistance of the algorithm are verified through numerical simulations and Deep Leakage from Gradients (DLG) attack experiments.