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Parallel scan primitives compute element-wise inclusive or exclusive prefix sums of input vectors contributed by $p$ consecutively ranked processors under an associative, possibly expensive, binary operator $\oplus$. In message-passing…

Data Structures and Algorithms · Computer Science 2026-04-29 Jesper Larsson Träff

We study the problem of computing conjunctive queries over large databases on parallel architectures without shared storage. Using the structure of such a query $q$ and the skew in the data, we study tradeoffs between the number of…

Databases · Computer Science 2016-02-22 Paul Beame , Paraschos Koutris , Dan Suciu

We design and implement parallel prefix sum (scan) algorithms using Ascend AI accelerators. Ascend accelerators feature specialized computing units: the cube units for efficient matrix multiplication and the vector units for optimized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-05 Bartłomiej Wróblewski , Gioele Gottardo , Anastasios Zouzias

With the ever-increasing computing power of supercomputers and the growing scale of scientific applications, the efficiency of MPI collective communication turns out to be a critical bottleneck in large-scale distributed and parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Jiajun Huang , Sheng Di , Xiaodong Yu , Yujia Zhai , Zhaorui Zhang , Jinyang Liu , Xiaoyi Lu , Ken Raffenetti , Hui Zhou , Kai Zhao , Khalid Alharthi , Zizhong Chen , Franck Cappello , Yanfei Guo , Rajeev Thakur

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 study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

Data Structures and Algorithms · Computer Science 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris

The Massive Parallel Computation (MPC) model is a theoretical framework for popular parallel and distributed platforms such as MapReduce, Hadoop, or Spark. We consider the task of computing a large matching or small vertex cover in this…

Data Structures and Algorithms · Computer Science 2018-07-24 Krzysztof Onak

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 discuss a simple, binary tree-based algorithm for the collective allreduce (reduction-to-all, MPI_Allreduce) operation for parallel systems consisting of $p$ suitably interconnected processors. The algorithm can be doubly pipelined to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-21 Jesper Larsson Träff

Isomorphic (sparse) collective communication is a form of collective communication in which all involved processes communicate in small, identically structured neighborhoods of other processes. Isomorphic neighborhoods are defined via an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-27 Jesper Larsson Träff , Alexandra Carpen-Amarie , Sascha Hunold , Antoine Rougier

MPI uses the concept of communicators to connect groups of processes. It provides nonblocking collective operations on communicators to overlap communication and computation. Flexible algorithms demand flexible communicators. E.g., a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-02 Michael Axtmann , Armin Wiebigke , Peter Sanders

Message aggregation is often used with a goal to reduce communication cost in HPC applications. The difference in the order of overhead of sending a message and cost of per byte transferred motivates the need for message aggregation, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-07 Kavitha Chandrasekar , Laxmikant Kale

Prefix aggregation operation (also called scan), and its particular case, prefix summation, is an important parallel primitive and enjoys a lot of attention in the research literature. It is also used in many algorithms as one of the steps.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-29 Jacek Sroka , Jerzy Tyszkiewicz

Parallel programs written using the standard Message Passing Interface (MPI) frequently depend upon the ability to efficiently execute collective operations. MPI_Scan is a collective operation defined in MPI that implements parallel prefix…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-22 Omer Arap , Martin Swany

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

We consider the problem of computing a relational query $q$ on a large input database of size $n$, using a large number $p$ of servers. The computation is performed in rounds, and each server can receive only $O(n/p^{1-\varepsilon})$ bits…

Databases · Computer Science 2013-06-26 Paul Beame , Paraschos Koutris , Dan Suciu

Recent increased interest in Cloud computing emphasizes the need to find an adequate solution to the load-balancing problem in parallel computing -- efficiently running several jobs concurrently on a cluster of shared computers (nodes). One…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-02 Adam Lev-Libfeld , Alex Margolin , Amnon Barak

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

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
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