论文标题
无线分布式矩阵乘法的编码计算和合作传输
Coded Computing and Cooperative Transmission for Wireless Distributed Matrix Multiplication
论文作者
论文摘要
考虑一个多细胞移动边缘计算网络,每个用户希望使用网络存储的矩阵计算用户生成的数据矩阵的产品。这是通过通过输入上传,Edge节点(ENS)和输出下载的任务卸载来完成的。由于某些ENS的服务器可能由于随机计算时间而散布,因此任务卸载可能会延迟很长,并且无线通道可能会遇到严重的褪色和干扰。本文旨在从信息理论的角度以高信噪比的卸载过程中上传,计算和下载潜伏期的相互作用。提出了基于级联的编码计算以及在上行链路和下行链路中协调和合作的干扰管理的政策,并证明在足够大的上载时间中非常最佳。通过在上行链路传输上投入更多时间,该策略可以在ENS上创建数据冗余,从而通过启用编码计算以及通过发射机合作的下载时间来减少计算时间。此外,该策略允许将计算时间用于下载时间。数值示例表明,提出的策略可以通过大大减少端到端执行时间来改善现有方案。
Consider a multi-cell mobile edge computing network, in which each user wishes to compute the product of a user-generated data matrix with a network-stored matrix. This is done through task offloading by means of input uploading, distributed computing at edge nodes (ENs), and output downloading. Task offloading may suffer long delay since servers at some ENs may be straggling due to random computation time, and wireless channels may experience severe fading and interference. This paper aims to investigate the interplay among upload, computation, and download latencies during the offloading process in the high signal-to-noise ratio regime from an information-theoretic perspective. A policy based on cascaded coded computing and on coordinated and cooperative interference management in uplink and downlink is proposed and proved to be approximately optimal for a sufficiently large upload time. By investing more time in uplink transmission, the policy creates data redundancy at the ENs, which can reduce the computation time, by enabling the use of coded computing, as well as the download time via transmitter cooperation. Moreover, the policy allows computation time to be traded for download time. Numerical examples demonstrate that the proposed policy can improve over existing schemes by significantly reducing the end-to-end execution time.