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It is known that the statistical properties of the spectrum provide an essential characterization of quantum chaos. The computation of a large group of interior eigenvalues at the middle spectrum is thus an important problem for quantum…

计算物理 · 物理学 2021-06-28 Haoyu Guan , Wenxian Zhang

Training large language models (LLMs) in the cloud faces growing memory bottlenecks due to the limited capacity and high cost of GPUs. While GPU memory offloading to CPU and NVMe has made large-scale training more feasible, existing…

分布式、并行与集群计算 · 计算机科学 2025-11-19 Sabiha Afroz , Redwan Ibne Seraj Khan , Hadeel Albahar , Jingoo Han , Ali R. Butt

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

数学软件 · 计算机科学 2012-07-10 Mauro Bianco , Ugo Varetto

We present a GPU solution for exact maximal clique enumeration (MCE) that performs a search tree traversal following the Bron-Kerbosch algorithm. Prior works on parallelizing MCE on GPUs perform a breadth-first traversal of the tree, which…

分布式、并行与集群计算 · 计算机科学 2025-04-25 Mohammad Almasri , Yen-Hsiang Chang , Izzat El Hajj , Rakesh Nagi , Jinjun Xiong , Wen-mei Hwu

We examine and compare several iterative methods for solving large-scale eigenvalue problems arising from nuclear structure calculations. In particular, we discuss the possibility of using block Lanczos method, a Chebyshev filtering based…

数值分析 · 数学 2023-05-26 Abdullah Alperen , Metin Aktulga , Pieter Maris , Chao Yang

Dynamic load balancing lies at the heart of distributed caching. Here, the goal is to assign objects (load) to servers (computing nodes) in a way that provides load balancing while at the same time dynamically adjusts to the addition or…

数据结构与算法 · 计算机科学 2020-06-17 John Chen , Ben Coleman , Anshumali Shrivastava

We consider a quadrature-based eigensolver to find eigenpairs of Hermitian matrices arising in lattice quantum chromodynamics. To reduce the computational cost for finding eigenpairs of such Hermitian matrices, we propose a new technique…

高能物理 - 格点 · 物理学 2011-03-28 H. Ohno , Y. Kuramashi , T. Sakurai , H. Tadano

Basic Linear Algebra Subprograms (BLAS) play key role in high performance and scientific computing applications. Experimentally, yesteryear multicore and General Purpose Graphics Processing Units (GPGPUs) are capable of achieving up to 15…

硬件体系结构 · 计算机科学 2016-11-29 Farhad Merchant , Tarun Vatwani , Anupam Chattopadhyay , Soumyendu Raha , S K Nandy , Ranjani Narayan

We scrutinize how to accelerate the bottleneck operations of Pythonic coupled cluster implementations performed on a \texttt{NVIDIA} Tesla V100S PCIe 32GB (rev 1a) Graphics Processing Unit (GPU). The \texttt{NVIDIA} Compute Unified Device…

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

分布式、并行与集群计算 · 计算机科学 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

Combinatorial Optimisation problems arise in several application domains and are often formulated in terms of graphs. Many of these problems are NP-hard, but exact solutions are not always needed. Several heuristics have been developed to…

机器学习 · 计算机科学 2022-05-23 David Ireland , Giovanni Montana

Distributed machine learning (DML) technology makes it possible to train large neural networks in a reasonable amount of time. Meanwhile, as the computing power grows much faster than network capacity, network communication has gradually…

分布式、并行与集群计算 · 计算机科学 2023-08-11 Xinchi Han , Weihao Jiang , Peirui Cao , Qinwei Yang , Yunzhuo Liu , Shuyao Qi , Shengkai Lin , Shizhen Zhao

A new scalable parallel math library, dMath, is presented in this paper that demonstrates leading scaling when using intranode, or internode, hybrid-parallelism for deep-learning. dMath provides easy-to-use distributed base primitives and a…

神经与进化计算 · 计算机科学 2016-04-07 Steven Eliuk , Cameron Upright , Anthony Skjellum

GPUs are critical for compute-intensive applications, yet emerging workloads such as recommender systems, graph analytics, and data analytics often exceed GPU memory capacity. Existing solutions allow GPUs to use CPU DRAM or SSDs as…

分布式、并行与集群计算 · 计算机科学 2025-08-27 Zhuoping Yang , Jinming Zhuang , Xingzhen Chen , Alex K. Jones , Peipei Zhou

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

高能物理 - 格点 · 物理学 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

The Julia library TSSOS aims at helping polynomial optimizers to solve large-scale problems with sparse input data. The underlying algorithmic framework is based on exploiting correlative and term sparsity to obtain a new moment-SOS…

最优化与控制 · 数学 2021-03-02 Victor Magron , Jie Wang

Efficiently solving large-scale sparse linear systems poses a significant challenge in computational science, especially in fields such as physics, engineering, machine learning, and finance. Traditional classical algorithms face…

量子物理 · 物理学 2024-10-04 Hakikat Singh

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

分布式、并行与集群计算 · 计算机科学 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

We present a parallel implementation of a direct solver for the Poisson's equation on extreme-scale supercomputers with accelerators. We introduce a chunked-pencil decomposition as the domain-decomposition strategy to distribute work among…

计算物理 · 物理学 2020-07-15 Jaber J. Hasbestan , Inanc Senocak