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In this paper we propose and prove that cyclic quorum sets can efficiently manage all-pairs computations and data replication. The quorums are O(N/sqrt(P)) in size, up to 50% smaller than the dual N/sqrt(P) array implementations, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-19 Cory J. Kleinheksel , Arun K. Somani

Understanding the complex behavior of molecular systems is fundamental to fields such as physics, materials science, and biology. Molecular dynamics (MD) simulations are crucial tools for studying atomic-level dynamics. This work focuses on…

Computational Engineering, Finance, and Science · Computer Science 2025-07-16 David Martin , Samuel James Newcome , Markus Mühlhäußer , Manish Kumar Mishra , Fabio Alexander Gratl , Hans-Joachim Bungartz

In the {\sc Min-Sum 2-Clustering} problem, we are given a graph and a parameter $k$, and the goal is to determine if there exists a 2-partition of the vertex set such that the total conflict number is at most $k$, where the conflict number…

Data Structures and Algorithms · Computer Science 2014-04-11 Bang Ye Wu , Li-Hsuan Chen

We study distributed algorithms for expected loss minimization where the datasets are large and have to be stored on different machines. Often we deal with minimizing the average of a set of convex functions where each function is the…

Machine Learning · Computer Science 2019-07-24 Samira Sheikhi

We present a nearly-linear time algorithm for finding a minimum-cost flow in planar graphs with polynomially bounded integer costs and capacities. The previous fastest algorithm for this problem is based on interior point methods (IPMs) and…

Data Structures and Algorithms · Computer Science 2022-05-04 Sally Dong , Yu Gao , Gramoz Goranci , Yin Tat Lee , Richard Peng , Sushant Sachdeva , Guanghao Ye

The number of parameters in large-scale language models based on transformers is gradually increasing, and the scale of computing clusters is also growing. The technology of quickly mobilizing large amounts of computing resources for…

Artificial Intelligence · Computer Science 2025-01-03 Zongbiao Li , Xiezhao Li , Yinghao Cui , Yijun Chen , Zhixuan Gu , Yuxuan Liu , Wenbo Zhu , Fei Jia , Ke Liu , Qifeng Li , Junyao Zhan , Jiangtao Zhou , Chenxi Zhang , Qike Liu

We present two improved algorithms for weighted discrete $p$-center problem for tree networks with $n$ vertices. One of our proposed algorithms runs in $O(n \log n + p \log^2 n \log(n/p))$ time. For all values of $p$, our algorithm thus…

Data Structures and Algorithms · Computer Science 2016-04-27 Aritra Banik , Binay Bhattacharya , Sandip Das , Tsunehiko Kameda , Zhao Song

Commercial graphics processors (GPUs) have high compute capacity at very low cost, which makes them attractive for general purpose scientific computing. In this paper we show how graphics processors can be used for N-body simulations to…

Computational Engineering, Finance, and Science · Computer Science 2007-06-22 Erich Elsen , V. Vishal , Mike Houston , Vijay Pande , Pat Hanrahan , Eric Darve

Large-scale parallel numerical simulations are essential for a wide range of engineering problems that involve complex, coupled physical processes interacting across a broad range of spatial and temporal scales. The data structures involved…

Mathematical Software · Computer Science 2018-10-11 Fande Kong , Roy H. Stogner , Derek R. Gaston , John W. Peterson , Cody J. Permann , Andrew E. Slaughter , Richard C. Martineau

In this paper, we propose solutions for the energy-efficient broadcasting over cross networks, where N nodes are located on two perpendicular lines. Our solutions consist of an algorithm which finds the optimal range assignment in…

Networking and Internet Architecture · Computer Science 2015-04-22 Mohammad R. Ataei , Amir H. Banihashemi , Thomas Kunz

We study the problem of clustering networks whose nodes have imputed or physical positions in a single dimension, for example prestige hierarchies or the similarity dimension of hyperbolic embeddings. Existing algorithms, such as the…

Social and Information Networks · Computer Science 2023-12-12 Alice Patania , Antoine Allard , Jean-Gabriel Young

Discovering causal relationships from observational data is a crucial problem and it has applications in many research areas. The PC algorithm is the state-of-the-art constraint based method for causal discovery. However, runtime of the PC…

Artificial Intelligence · Computer Science 2016-11-11 Thuc Duy Le , Tao Hoang , Jiuyong Li , Lin Liu , Huawen Liu

Data structures for efficient sampling from a set of weighted items are an important building block of many applications. However, few parallel solutions are known. We close many of these gaps both for shared-memory and distributed-memory…

Data Structures and Algorithms · Computer Science 2021-07-20 Lorenz Hübschle-Schneider , Peter Sanders

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

Machine Learning · Computer Science 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalable, meaning that the local memory in each machine may be…

Data Structures and Algorithms · Computer Science 2024-07-09 Artur Czumaj , Guichen Gao , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý

Parallel tempering (PT), also known as replica exchange, is the go-to workhorse for simulations of multi-modal distributions. The key to the success of PT is to adopt efficient swap schemes. The popular deterministic even-odd (DEO) scheme…

Machine Learning · Computer Science 2022-11-22 Wei Deng , Qian Zhang , Qi Feng , Faming Liang , Guang Lin

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Parallel implementations of distributed global optimization (DGO) [13] on MP-1 and NCUBE parallel computers revealed an approximate O(n) increase in the performance of this algorithm. Therefore, the implementation of the DGO on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-21 Homayoun Valafar , Okan K. Ersoy , Farmaraz Valafar

Template matching is widely used for many applications in image and signal processing and usually is time-critical. Traditional methods usually focus on how to reduce the search locations by coarse-to-fine strategy or full search combined…

Data Structures and Algorithms · Computer Science 2015-09-17 Sung-Hsien Hsieh , Chun-Shien Lu , and Soo-Chang Pei