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Recent architectures integrate high-performance and power-efficient matrix engines. These engines demonstrate remarkable performance in low-precision matrix multiplication, which is crucial in deep learning. Several techniques have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-13 Yuki Uchino , Katsuhisa Ozaki , Toshiyuki Imamura

Mixture-of-Experts (MoE) models have become the dominant architecture for large-scale language models, yet on-premises serving remains fundamentally memory-bound as batching turns sparse per-token compute into dense memory activation.…

Machine Learning · Computer Science 2026-04-24 Yuseon Choi , Jingu Lee , Jungjun Oh , Sunjoo Whang , Byeongcheol Kim , Minsung Kim , Hoi-Jun Yoo , Sangjin Kim

The immersed boundary (IB) method has become a leading approach in cardiac fluid-structure interaction (FSI) modeling due to its ability to handle large deformations and complex geometries without requiring mesh regeneration. However, the…

Computational Physics · Physics 2025-09-16 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

Matrix factorization (MF) has been widely used in e.g., recommender systems, topic modeling and word embedding. Stochastic gradient descent (SGD) is popular in solving MF problems because it can deal with large data sets and is easy to do…

Machine Learning · Computer Science 2016-11-11 Xiaolong Xie , Wei Tan , Liana L. Fong , Yun Liang

Computation of the large sparse matrix exponential has been an important topic in many fields, such as network and finite-element analysis. The existing scaling and squaring algorithm (SSA) is not suitable for the computation of the large…

Numerical Analysis · Mathematics 2021-10-12 Feng Wu , Kailing Zhang , Li Zhu , Jiayao Hu

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

State-of-the-art Transformer-based models, with gigantic parameters, are difficult to be accommodated on resource constrained embedded devices. Moreover, with the development of technology, more and more embedded devices are available to…

Machine Learning · Computer Science 2021-10-20 Panjie Qi , Edwin Hsing-Mean Sha , Qingfeng Zhuge , Hongwu Peng , Shaoyi Huang , Zhenglun Kong , Yuhong Song , Bingbing Li

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

GPUs are uniquely suited to accelerate (SQL) analytics workloads thanks to their massive compute parallelism and High Bandwidth Memory (HBM) -- when datasets fit in the GPU HBM, performance is unparalleled. Unfortunately, GPU HBMs remain…

Mixture-of-Experts (MoE) has emerged as a promising sparse paradigm for scaling up pre-trained models (PTMs) with remarkable cost-effectiveness. However, the dynamic nature of MoE leads to rapid fluctuations and imbalances in expert loads…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-05 Yuhao Qing , Guichao Zhu , Fanxin Li , Lintian Lei , Zekai Sun , Xiuxian Guan , Shixiong Zhao , Xusheng Chen , Dong Huang , Sen Wang , Heming Cui

In up-to-date machine learning (ML) applications on cloud or edge computing platforms, batching is an important technique for providing efficient and economical services at scale. In particular, parallel computing resources on the…

Machine Learning · Computer Science 2023-09-04 Yaodan Xu , Jingzhou Sun , Sheng Zhou , Zhisheng Niu

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

Smoothed Particle Hydrodynamics (SPH) is essential for modeling complex large-deformation problems across various applications, requiring significant computational power. A major portion of SPH computation time is dedicated to the Nearest…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Zirui Mao , Xinyi Li , Shenyang Hu , Ganesh Gopalakrishnan , Ang Li

We present a sparse linear system solver that is based on a multifrontal variant of Gaussian elimination, and exploits low-rank approximation of the resulting dense frontal matrices. We use hierarchically semiseparable (HSS) matrices, which…

Mathematical Software · Computer Science 2015-02-27 Pieter Ghysels , Xiaoye S. Li , Francois-Henry Rouet , Samuel Williams , Artem Napov

In this work, we consider the reformulation of hierarchical ($\mathcal{H}$) matrix algorithms for many-core processors with a model implementation on graphics processing units (GPUs). $\mathcal{H}$ matrices approximate specific dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Peter Zaspel

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

Numerical Analysis · Mathematics 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

The recent focus on the efficiency of deep neural networks (DNNs) has led to significant work on model compression approaches, of which weight pruning is one of the most popular. At the same time, there is rapidly-growing computational…

Machine Learning · Computer Science 2022-08-25 Elias Frantar , Dan Alistarh

Designing efficient and scalable sparse linear algebra kernels on modern multi-GPU based HPC systems is a daunting task due to significant irregular memory references and workload imbalance across the GPUs. This is particularly the case for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-15 Chenhao Xie , Jieyang Chen , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

As the performance gains from accelerating quantized matrix multiplication plateau, the softmax operation becomes the critical bottleneck in Transformer inference. This bottleneck stems from two hardware limitations: (1) limited data…

Machine Learning · Computer Science 2026-02-03 Zisheng Ye , Xiaoyu He , Maoyuan Song , Guoliang Qiu , Chao Liao , Chen Wu , Yonggang Sun , Zhichun Li , Xiaoru Xie , Yuanyong Luo , Hu Liu , Pinyan Lu , Heng Liao

Important workloads, such as machine learning and graph analytics applications, heavily involve sparse linear algebra operations. These operations use sparse matrix compression as an effective means to avoid storing zeros and performing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-25 Konstantinos Kanellopoulos , Nandita Vijaykumar , Christina Giannoula , Roknoddin Azizi , Skanda Koppula , Nika Mansouri Ghiasi , Taha Shahroodi , Juan Gomez Luna , Onur Mutlu
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