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Jul, 2024
图上粒子系统,第二部分:分布随机连续优化的动力学
Graphon Particle Systems, Part II: Dynamics of Distributed Stochastic Continuum Optimization
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Yan Chen, Tao Li
TL;DR
研究了具有连续节点的图网中的分布式优化问题,提出了基于随机梯度下降和梯度追踪算法的解决方案,并证明了节点状态的二阶矩一致有界性和收敛性。若本地代价函数强凸,则节点状态收敛至全局代价函数的极小值,并且随机梯度追踪算法的辅助状态均方一致收敛至极小值处的全局代价函数梯度值。
Abstract
We study the
distributed optimization
problem over a
graphon
with a continuum of nodes, which is regarded as the limit of the distributed networked optimization as the number of nodes goes to infinity. Each node
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