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We introduce the poly-streaming model, a generalization of streaming models of computation in which $k$ processors process $k$ data streams containing a total of $N$ items. The algorithm is allowed $O\left(f(k)\cdot M_1\right)$ space, where…

数据结构与算法 · 计算机科学 2025-07-21 Ahammed Ullah , S. M. Ferdous , Alex Pothen

The use of Model Predictive Control in industry is steadily increasing as more complicated problems can be addressed. Due to that online optimization is usually performed, the main bottleneck with Model Predictive Control is the relatively…

最优化与控制 · 数学 2014-01-31 Isak Nielsen , Daniel Axehill

For parallel breadth first search (BFS) algorithm on large-scale distributed memory systems, communication often costs significantly more than arithmetic and limits the scalability of the algorithm. In this paper we sufficiently reduce the…

分布式、并行与集群计算 · 计算机科学 2012-08-29 Huiwei Lv , Guangming Tan , Mingyu Chen , Ninghui Sun

Parallelization has emerged as a promising approach for accelerating MILP solving. However, the complexity of the branch-and-bound (B&B) framework and the numerous effective algorithm components in MILP solvers make it difficult to…

人工智能 · 计算机科学 2025-12-19 Longfei Wang , Junyan Liu , Fan Zhang , Jiangwen Wei , Yuanhua Tang , Jie Sun , Xiaodong Luo

A new O(N) algorithm based on a recursion method, in which the computational effort is proportional to the number of atoms N, is presented for calculating the inverse of an overlap matrix which is needed in electronic structure calculations…

凝聚态物理 · 物理学 2016-08-31 T. Ozaki

Deep neural networks (DNNs) have inspired new studies in myriad edge applications with robots, autonomous agents, and Internet-of-things (IoT) devices. However, performing inference of DNNs in the edge is still a severe challenge, mainly…

信号处理 · 电气工程与系统科学 2020-11-18 Ramyad Hadidi , Bahar Asgari , Jiashen Cao , Younmin Bae , Da Eun Shim , Hyojong Kim , Sung-Kyu Lim , Michael S. Ryoo , Hyesoon Kim

There have been several algorithms designed to optimise matrix multiplication. From schoolbook method with complexity $O(n^3)$ to advanced tensor-based tools with time complexity $O(n^{2.3728639})$ (lowest possible bound achieved), a lot of…

数据结构与算法 · 计算机科学 2019-01-30 Shrohan Mohapatra

A key technique for controlling numerical stability in sparse direct solvers is threshold partial pivoting. When selecting a pivot, the entire candidate pivot column below the diagonal must be up-to-date and must be scanned. If the…

数值分析 · 数学 2013-05-13 Jonathan Hogg , Jennifer Scott

The binary-forking model is a parallel computation model, formally defined by Blelloch et al. very recently, in which a thread can fork a concurrent child thread, recursively and asynchronously. The model incurs a cost of $\Theta(\log n)$…

数据结构与算法 · 计算机科学 2020-09-04 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Mohammad Mahdi Javanmard

We present efficient parallel algorithms for computing maximal matchings in hypergraphs. Our algorithm finds locally maximal edges in the hypergraph and adds them in parallel to the matching. In the CRCW PRAM models our algorithms achieve…

数据结构与算法 · 计算机科学 2026-03-13 Henrik Reinstädtler , Christian Schulz , Nodari Sitchinava , Fabian Walliser

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

流体动力学 · 物理学 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause

In this paper, we provide faster algorithms for computing various fundamental quantities associated with random walks on a directed graph, including the stationary distribution, personalized PageRank vectors, hitting times, and escape…

数据结构与算法 · 计算机科学 2016-11-03 Michael B. Cohen , Jon Kelner , John Peebles , Richard Peng , Aaron Sidford , Adrian Vladu

We describe an efficient parallel implementation of the selected inversion algorithm for distributed memory computer systems, which we call \texttt{PSelInv}. The \texttt{PSelInv} method computes selected elements of a general sparse matrix…

数值分析 · 数学 2015-06-01 Mathias Jacquelin , Lin Lin , Chao Yang

Clusters of SMP nodes provide support for a wide diversity of parallel programming paradigms. Combining both shared memory and message passing parallelizations within the same application, the hybrid MPI-OpenMP paradigm is an emerging trend…

分布式、并行与集群计算 · 计算机科学 2012-11-13 Truong Vinh Truong Duy , Katsuhiro Yamazaki , Kosai Ikegami , Shigeru Oyanagi

We propose a systematic approach to reduce the memory consumption of deep neural network training. Specifically, we design an algorithm that costs O(sqrt(n)) memory to train a n layer network, with only the computational cost of an extra…

机器学习 · 计算机科学 2016-04-25 Tianqi Chen , Bing Xu , Chiyuan Zhang , Carlos Guestrin

We present a new parallel algorithm for probabilistic graphical model optimization. The algorithm relies on data-parallel primitives (DPPs), which provide portable performance over hardware architecture. We evaluate results on CPUs and GPUs…

分布式、并行与集群计算 · 计算机科学 2018-09-14 Brenton Lessley , Talita Perciano , Colleen Heinemann , David Camp , Hank Childs , E. Wes Bethel

The problem of exactly summing n floating-point numbers is a fundamental problem that has many applications in large-scale simulations and computational geometry. Unfortunately, due to the round-off error in standard floating-point…

数据结构与算法 · 计算机科学 2016-05-19 Michael T. Goodrich , Ahmed Eldawy

The nni-distance is a well-known distance measure for phylogenetic trees. We construct an efficient parallel approximation algorithm for the nni-distance in the CRCW-PRAM model running in O(log n) time on O(n) processors. Given two…

数据结构与算法 · 计算机科学 2012-05-16 Mikael Gast , Mathias Hauptmann

Quantum sampling, a fundamental subroutine in numerous quantum algorithms, involves encoding a given probability distribution in the amplitudes of a pure state. Given the hefty cost of large-scale quantum storage, we initiate the study of…

量子物理 · 物理学 2025-06-10 Longyun Chen , Jingcheng Liu , Penghui Yao

In the evolving landscape of neural network models, one prominent challenge stand out: the significant memory overheads associated with training expansive models. Addressing this challenge, this study delves deep into the Rotated Tensor…

分布式、并行与集群计算 · 计算机科学 2023-11-06 Cheng Luo , Tianle Zhong , Geoffrey Fox