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In practice symmetries of combinatorial structures are computed by transforming the structure into an annotated graph whose automorphisms correspond exactly to the desired symmetries. An automorphism solver is then employed to compute the…

Data Structures and Algorithms · Computer Science 2021-08-11 Markus Anders , Pascal Schweitzer

We investigate the use of possibly the simplest scheme for the parallelisation of the standard particle filter, that consists in splitting the computational budget into $M$ fully independent particle filters with $N$ particles each, and…

Computation · Statistics 2015-10-12 Dan Crisan , Joaquin Miguez , Gonzalo Rios

In this paper, we present multi-threaded algorithms for graph coloring suitable to the shared memory programming model. We modify an existing algorithm widely used in the literature and prove the correctness of the modified algorithm. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-11 Nandini Singhal , Sathya Peri , Subrahmanyam Kalyanasundaram

Digital memristive processing-in-memory overcomes the memory wall through a fundamental storage device capable of stateful logic within crossbar arrays. Dynamically dividing the crossbar arrays by adding memristive partitions further…

Hardware Architecture · Computer Science 2022-06-10 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

Optimal multiple sequence alignment by dynamic programming, like many highly dimensional scientific computing problems, has failed to benefit from the improvements in computing performance brought about by multi-processor systems, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Manal Helal , Hossam El-Gindy , Lenore Mullin , Bruno Gaeta

Machine learning frameworks adopt iterative optimizers to train neural networks. Conventional eager execution separates the updating of trainable parameters from forward and backward computations. However, this approach introduces…

Machine Learning · Computer Science 2021-04-02 Zixuan Jiang , Jiaqi Gu , Mingjie Liu , Keren Zhu , David Z. Pan

We give a more space-efficient implementation of adaptive mergesort: Virtual-Memory Powersort. Using internal buffering techniques, we significantly reduce the memory consumption of the algorithm; specifically, for sorting $n$ objects the…

Data Structures and Algorithms · Computer Science 2026-05-27 Finn Moltmann , Tamio-Vesa Nakajima , Sebastian Wild

In this paper we analyze, evaluate, and improve the performance of training generalized linear models on modern CPUs. We start with a state-of-the-art asynchronous parallel training algorithm, identify system-level performance bottlenecks,…

Machine Learning · Computer Science 2018-12-20 Nikolas Ioannou , Celestine Dünner , Kornilios Kourtis , Thomas Parnell

Sorting is one of the fundamental problems in computer science. Playing a role in many processes, it has a lower complexity bound imposed by $\mathcal{O}(n\log{n})$ when executing on a sequential machine. This limit can be brought down to…

Hardware Architecture · Computer Science 2025-07-23 Daniel Bascones , Borja Morcillo

This paper presents a parallel random-search method for reducing additive complexity in fast matrix multiplication algorithms with ternary coefficients $\{-1,0,1\}$. The approach replaces expensive exact evaluation with fast heuristic…

Symbolic Computation · Computer Science 2025-12-23 A. I. Perminov

On modern parallel architectures, the cost of synchronization among processors can often dominate the cost of floating-point computation. Several modifications of the existing methods have been proposed in order to keep the communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-10 Qinmeng Zou , Frederic Magoules

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

Social and Information Networks · Computer Science 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Ashish Srivastava , Mohammed Nawfal

Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of workloads consisting of several jobs. To address this challenge the cache is statically…

Data Structures and Algorithms · Computer Science 2012-11-26 Avinatan Hassidim , Haim Kaplan , Omry Tuval

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

Data Structures and Algorithms · Computer Science 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

We present a shared-memory algorithm to compute high-quality solutions to the balanced $k$-way hypergraph partitioning problem. This problem asks for a partition of the vertex set into $k$ disjoint blocks of bounded size that minimizes the…

Data Structures and Algorithms · Computer Science 2021-04-19 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

This paper initiates the studies of parallel algorithms for core maintenance in dynamic graphs. The core number is a fundamental index reflecting the cohesiveness of a graph, which are widely used in large-scale graph analytics. The core…

Data Structures and Algorithms · Computer Science 2017-01-02 Na Wang , Dongxiao Yu , Hai Jin , Chen Qian , Xia Xie , Qiang-Sheng Hua
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