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arXiv · 2305.18461

Bandwidth Optimal Pipeline Schedule for Collective Communication

Liangyu Zhao·Arvind Krishnamurthy
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Abstract

We present a strongly polynomial-time algorithm to generate bandwidth optimal allgather/reduce-scatter on any network topology, with or without switches. Our algorithm constructs pipeline schedules achieving provably the best possible bandwidth performance on a given topology. To provide a universal solution, we model the network topology as a directed graph with heterogeneous link capacities and switches directly as vertices in the graph representation. The algorithm is strongly polynomial-time with respect to the topology size. This work heavily relies on previous graph theory work on edge-disjoint spanning trees and edge splitting. While we focus on allgather, the methods in this paper can be easily extended to generate schedules for reduce, broadcast, reduce-scatter, and allreduce.

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Liangyu Zhao, Arvind Krishnamurthy. 2023-05-29. Bandwidth Optimal Pipeline Schedule for Collective Communication. https://arxiv.org/abs/2305.18461

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