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The reduce-scatter collective operation in which $p$ processors in a network of processors collectively reduce $p$ input vectors into a result vector that is partitioned over the processors is important both in its own right and as building…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-14 Jesper Larsson Träff

The \texttt{MPI\_Allreduce} collective operation is a core kernel of many parallel codebases, particularly for reductions over a single value per process. The commonly used allreduce recursive-doubling algorithm obtains the lower bound…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-23 Amanda Bienz , Luke N. Olson , William D. Gropp

Allreduce is one of the most frequently used MPI collective operations, and thus its performance attracts much attention in the past decades. Many algorithms were developed with different properties and purposes. We present a novel approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-22 Dmitry Kolmakov , Xuecang Zhang

Many modern, high-performance systems increase the cumulated node-bandwidth by offering more than a single communication network and/or by having multiple connections to the network. Efficient algorithms and implementations for collective…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-16 Jesper Larsson Träff

We develop a method for improving the parallel scalability of the recently developed parallel selected inversion algorithm [Jacquelin, Lin and Yang 2014], named PSelInv, on massively parallel distributed memory machines. In the PSelInv…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-21 Mathias Jacquelin , Lin Lin , Nathan Wichmann , Chao Yang

Collective communications, namely the patterns allgatherv, reduce_scatter, and allreduce in message-passing systems are optimised based on measurements at the installation time of the library. The algorithms used are set up in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-24 Andreas Jocksch , Noe Ohana , Emmanuel Lanti , Vasileios Karakasis , Laurent Villard

All-gather collective communication is one of the most important communication primitives in parallel and distributed computation, which plays an essential role in many HPC applications such as distributed Deep Learning (DL) with model and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Fei Dai , Yawen Chen , Zhiyi Huang , Haibo Zhang

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-18 Bradley R. Lowery , Julien Langou

Efficient collective communication is critical for many distributed ML and HPC applications. In this context, it is widely believed that the Ring algorithm for the AllReduce collective communication operation is optimal only for large…

Networking and Internet Architecture · Computer Science 2025-10-07 Sarah-Michelle Hammer , Stefan Schmid , Rachee Singh , Vamsi Addanki

Both IP lookup and packet classification in IP routers can be implemented by some form of tree traversal. SRAM-based Pipelining can improve the throughput dramatically. However, previous pipelining schemes result in unbalanced memory…

Networking and Internet Architecture · Computer Science 2011-07-28 Weirong Jiang , Hoang Le , Viktor K. Prasanna

We present and show how to implement a non-trivial all-to-all communication algorithm for arbitrary $d$-dimensional tori effectively in MPI. Given a factorization of the number of processes $p$ into $d$ factors that can be mapped onto a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Jesper Larsson Träff

The collective operations are considered critical for improving the performance of exascale-ready and high-performance computing applications. On this paper we focus on the Message-Passing Interface (MPI) Allgather many to many collective,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Wilton Jaciel Loch , Guilherme Piêgas Koslovski

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers difficult questions posed in a SPAA 2022 BA and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-29 Jesper Larsson Träff

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…

Networking and Internet Architecture · Computer Science 2023-06-02 Liangyu Zhao , Arvind Krishnamurthy

The advent of multi-/many-core processors in clusters advocates hybrid parallel programming, which combines Message Passing Interface (MPI) for inter-node parallelism with a shared memory model for on-node parallelism. Compared to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-15 Huan Zhou , Jose Gracia , Ralf Schneider

Distributed training of deep nets is an important technique to address some of the present day computing challenges like memory consumption and computational demands. Classical distributed approaches, synchronous or asynchronous, are based…

Machine Learning · Computer Science 2019-01-14 Youjie Li , Mingchao Yu , Songze Li , Salman Avestimehr , Nam Sung Kim , Alexander Schwing

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-27 Martin Kuettler , Hermann Haertig

We give a fast(er), communication-free, parallel construction of optimal communication schedules that allow broadcasting of $n$ distinct blocks of data from a root processor to all other processors in $1$-ported, $p$-processor networks with…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Jesper Larsson Träff

We present new, simple, fully distributed, practical algorithms with linear time communication cost for irregular gather and scatter operations in which processors contribute or consume possibly different amounts of data. In a linear cost…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-13 Jesper Larsson Träff

The efficient implementation of collective communiction operations has received much attention. Initial efforts produced "optimal" trees based on network communication models that assumed equal point-to-point latencies between any two…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 N. T. Karonis , B. de Supinski , I. Foster , W. Gropp , E. Lusk
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