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