0


网络中的分布式双平均

Distributed Dual Averaging In Networks
课程网址: http://videolectures.net/nips2010_duchi_dda/  
主讲教师: John Duchi
开课单位: 加州大学伯克利分校
开课时间: 2011-03-25
课程语种: 英语
中文简介:
通过网络进行分散优化的目标是通过仅使用局部计算和通信来优化由局部(可能是非光滑)凸函数的总和形成的全局目标。我们基于子梯度的双重平均来开发和分析分布式算法,并且我们根据网络大小和拓扑提供其收敛速率的明确界限。我们的分析清楚地将优化算法本身的收敛与网络结构产生的通信约束的影响分开。我们证明了我们的算法所需的迭代次数在网络的频谱间隙中反向缩放。通过理论下界和各种网络的模拟来确认该预测的清晰度。
课程简介: The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. We develop and analyze distributed algorithms based on dual averaging of subgradients, and we provide sharp bounds on their convergence rates as a function of the network size and topology. Our analysis clearly separates the convergence of the optimization algorithm itself from the effects of communication constraints arising from the network structure. We show that the number of iterations required by our algorithm scales inversely in the spectral gap of the network. The sharpness of this prediction is confirmed both by theoretical lower bounds and simulations for various networks.
关 键 词: 分散优化; 局部计算; 迭代次数
课程来源: 视频讲座网
最后编审: 2019-07-25:cwx
阅读次数: 70