Fault-tolerant Reduce and Allreduce operations based on correction

Martin Kuettler; Hermann Haertig

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arXiv · 2602.22445

Fault-tolerant Reduce and Allreduce operations based on correction

Martin Kuettler·Hermann Haertig

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Abstract

Implementations of Broadcast based on some information dissemination algorithm -- e.g., gossip or tree-based communication -- followed by a correction algorithm has been proposed previously. This work describes an approach to apply a similar idea to Reduce. In it, a correction-like communication phase precedes a tree-based phase. This provides a Reduce algorithm which is tolerant to a number of failed processes. Semantics of the resulting algorithm are provided and proven. Based on these results, Broadcast and Reduce are combined to provide Allreduce.

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BibTeX RIS

Martin Kuettler, Hermann Haertig. 2026-02-25. Fault-tolerant Reduce and Allreduce operations based on correction. https://arxiv.org/abs/2602.22445

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