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Efficiently solving large-scale linear systems is a critical challenge in electromagnetic simulations, particularly when using the Crank-Nicolson Finite-Difference Time-Domain (CN-FDTD) method. Existing iterative solvers are commonly…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-24 Haoyuan Zhang , Yaqian Gao , Xinxin Zhang , Jialin Li , Runfeng Jin , Yidong Chen , Feng Zhang , Wu Yuan , Wenpeng Ma , Shan Liang , Jian Zhang , Zhonghua Lu

The continuous growth of big data applications with high computational and scalability demands has resulted in increasing popularity of cloud computing. Optimizing the performance and power consumption of cloud resources is therefore…

Hardware Architecture · Computer Science 2019-10-30 Sahand Salamat , Behnam Khaleghi , Mohsen Imani , Tajana Rosing

We propose a Fast Fourier Transform based Periodic Interpolation Method (FFT-PIM), a flexible and computationally efficient approach for computing the scalar potential given by a superposition sum in a unit cell of an infinitely periodic…

Numerical Analysis · Mathematics 2024-07-01 Fangzhou Ai , Vitaliy Lomakin

The implementation of a full electronic structure calculation code on a hybrid parallel architecture with Graphic Processing Units (GPU) is presented. The code which is on the basis of our implementation is a GNU-GPL code based on…

The fast marching method is well-known for its worst-case optimal computational complexity in solving the Eikonal equation, and has been employed in numerous scientific and engineering fields. However, it has barely benefited from…

Computational Physics · Physics 2018-11-02 Jianming Yang

Despite achieving remarkable performance, Federated Learning (FL) encounters two important problems, i.e., low training efficiency and limited computational resources. In this paper, we propose a new FL framework, i.e., FedDUMAP, with three…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Ji Liu , Juncheng Jia , Hong Zhang , Yuhui Yun , Leye Wang , Yang Zhou , Huaiyu Dai , Dejing Dou

Discrete Fractional Fourier Transforms (DFrFT) are universal mathematical tools in signal processing, communications and microwave sensing. Despite the excessive applications of DFrFT, implementation of corresponding fractional orders in…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Rasool Keshavarz , Negin Shariati , Mohammad-Ali Miri

The scaling of computation throughput continues to outpace improvements in memory bandwidth, making many deep learning workloads memory-bound. Kernel fusion is a key technique to alleviate this problem, but the fusion strategies of existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Ziyu Huang , Yangjie Zhou , Zihan Liu , Xinhao Luo , Yijia Diao , Minyi Guo , Jidong Zhai , Yu Feng , Chen Zhang , Anbang Wu , Jingwen Leng

FPGAs are increasingly utilized in data centers due to their capacity to exploit data parallelism in computationally intensive workloads. Furthermore, the processing of modern data center workloads requires moving vast amounts of data,…

Hardware Architecture · Computer Science 2025-07-02 Andrea Galimberti , Gabriele Montanaro , Andrea Motta , Federico Proverbio , Davide Zoni

We present a new library for parallel distributed Fast Fourier Transforms (FFT). The importance of FFT in science and engineering and the advances in high performance computing necessitate further improvements. AccFFT extends existing FFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-27 Amir Gholami , Judith Hill , Dhairya Malhotra , George Biros

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Energy efficiency of training and inferencing with large neural network models is a critical challenge facing the future of sustainable large-scale machine learning workloads. This paper introduces an alternative strategy, called phantom…

Machine Learning · Computer Science 2026-02-10 Sudip K. Seal , Maksudul Alam , Jorge Ramirez , Sajal Dash , Hao Lu

The Fast Fourier Transform(FFT) is a classic signal processing algorithm that is utilized in a wide range of applications. For image processing, FFT computes on every pixel's value of an image, regardless of their properties in frequency…

Signal Processing · Electrical Eng. & Systems 2020-02-25 Sheng Shi , Runkai Yang , Haihang You

Particle Mesh Ewald (PME) methods accelerated through Fast Fourier Transforms (FFTs) for their reciprocal part are widely used to solve N -body problems over periodic structures with Laplace-like kernels. The FFT dependence of classical PME…

Numerical Analysis · Mathematics 2026-01-28 Igor Chollet

In this paper, we explore FP8 low-bit data formats for efficient training of large language models (LLMs). Our key insight is that most variables, such as gradients and optimizer states, in LLM training can employ low-precision data formats…

The problem of fast computation of multivariate kernel density estimation (KDE) is still an open research problem. In our view, the existing solutions do not resolve this matter in a satisfactory way. One of the most elegant and efficient…

Computation · Statistics 2016-09-08 Artur Gramacki , Jarosław Gramacki

We present a new method for performing global redistributions of multidimensional arrays essential to parallel fast Fourier (or similar) transforms. Traditional methods use standard all-to-all collective communication of contiguous memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-26 Lisandro Dalcin , Mikael Mortensen , David E Keyes

The One Sided Crossing Minimization (OSCM) problem is an optimization problem in graph drawing that aims to minimize the number of edge crossings in bipartite graph layouts. It has practical applications in areas such as network…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Bogdan-Ioan Popa , Adrian-Marius Dumitran , Livia Magureanu

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

We present DMax, a new paradigm for efficient diffusion language models (dLLMs). It mitigates error accumulation in parallel decoding, enabling aggressive decoding parallelism while preserving generation quality. Unlike conventional masked…

Machine Learning · Computer Science 2026-05-18 Zigeng Chen , Gongfan Fang , Xinyin Ma , Ruonan Yu , Xinchao Wang
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