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arXiv · 2503.20716

Convergence Theory of Flexible ALADIN for Distributed Optimization

Xu Du·Xiaohua Zhou·Shijie Zhu
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Abstract

The Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN) method is a cutting-edge distributed optimization algorithm known for its superior numerical performance. It relies on each agent transmitting information to a central coordinator for data exchange. However, in practical network optimization and federated learning, unreliable information transmission often leads to packet loss, posing challenges for the convergence analysis of ALADIN. To address this issue, this paper proposes Flexible ALADIN, a random polling variant of ALADIN, and presents a rigorous convergence analysis, including global convergence for convex problems and local convergence for non-convex problems.

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Xu Du, Xiaohua Zhou, Shijie Zhu. 2025-03-26. Convergence Theory of Flexible ALADIN for Distributed Optimization. https://arxiv.org/abs/2503.20716

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