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arXiv 1802.00894cs.ITmath.IT
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无线MapReduce分布式计算

Wireless MapReduce Distributed Computing

Fan Li, Jinyuan Chen, Zhiying Wang

摘要:

受移动边缘计算和无线数据中心的启发,本文研究了一种无线分布式计算框架,其中分布式节点通过无线干扰网络进行信息交换。我们的框架遵循MapReduce的结构。该框架由Map、Shuffle和Reduce阶段组成,其中Map和Reduce是计算阶段,Shuffle是数据传输阶段。在我们的设置中,我们假设传输是在无线干扰网络上操作的。我们证明,通过复制的计算工作在一个集群的分布式节点在地图阶段,可以减少所需的洗牌阶段的传输负载量。在这项工作中,我们描述了计算负载和通信负载之间的基本权衡,在一次线性计划的假设下。该方案是基于边信息消除和迫零,我们证明了它是最佳的计算通信权衡。所提出的方案优于天真的TDMA方案与单节点传输的时间,以及编码的TDMA方案,允许跨数据编码,在计算通信权衡。

英文摘要:

Motivated by mobile edge computing and wireless data centers, we study a wireless distributed computing framework where the distributed nodes exchange information over a wireless interference network. Our framework follows the structure of MapReduce. This framework consists of Map, Shuffle, and Reduce phases, where Map and Reduce are computation phases and Shuffle is a data transmission phase. In our setting, we assume that the transmission is operated over a wireless interference network. We demonstrate that, by duplicating the computation work at a cluster of distributed nodes in the Map phase, one can reduce the amount of transmission load required for the Shuffle phase. In this work, we characterize the fundamental tradeoff between computation load and communication load, under the assumption of one-shot linear schemes. The proposed scheme is based on side information cancellation and zero-forcing, and we prove that it is optimal in terms of computation-communication tradeoff. The proposed scheme outperforms the naive TDMA scheme with single node transmission at a time, as well as the coded TDMA scheme that allows coding across data, in terms of the computation-communication tradeoff.

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