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Matrix multiplication is one of the core operations in many areas of scientific computing. We present the results of the experiments with the matrix multiplication of the big size comparable with the big size of the onboard memory, which is…

Statistical Mechanics · Physics 2019-03-27 Alexander Russkov , Lev Shchur

A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle…

Mathematical Software · Computer Science 2007-05-23 Thomas Lippert , Nikolay Petkov , Paolo Palazzari , Klaus Schilling

A spatial photonic Ising machine (SPIM) handles large-scale combinatorial optimization problems owing to optical processing with spatial parallelism. However, iterative feedback in the search for optimal solutions limits processing speed…

Optics · Physics 2025-02-27 Suguru Shimomura , Jun Tanida , Yusuke Ogura

Binary matrix-vector multiplication (BMVM) is a key operation in post-quantum cryptography schemes like the Classic McEliece cryptosystem. Conventional computing architectures incur significant energy efficiency loss due to data movement of…

Emerging Technologies · Computer Science 2025-07-15 Hao Yue , Yihao Chen , Tianhang Liang , Xiangrui Li , Xin Kong , Zhelong Jiang , Zhigang Li , Gang Chen , Huaxiang Lu

In recent years, quantum Ising machines have drawn a lot of attention, but due to physical implementation constraints, it has been difficult to achieve dense coupling, such as full coupling with sufficient spins to handle practical…

Interference management is a fundamental issue in device-to-device (D2D) communications whenever the transmitter-and-receiver pairs are located in close proximity and frequencies are fully reused, so active links may severely interfere with…

Information Theory · Computer Science 2019-04-02 Kaiming Shen , Wei Yu , Licheng Zhao , Daniel P. Palomar

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. It is well known that SpGEMM is a memory-bound operation, and its peak performance is expected to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Zhixiang Gu , Jose Moreira , David Edelsohn , Ariful Azad

This paper addresses emulation algorithms for matrix multiplication. General Matrix-Matrix Multiplication (GEMM), a fundamental operation in the Basic Linear Algebra Subprograms (BLAS), is typically optimized for specific hardware…

Mathematical Software · Computer Science 2025-04-29 Katsuhisa Ozaki , Yuki Uchino , Toshiyuki Imamura

Optimization models with decision variables in multiple time scales are widely used across various fields such as integrated planning and scheduling. To address scalability challenges in these models, we present the Parametric Autotuning…

Optimization and Control · Mathematics 2024-07-24 Asha Ramanujam , Can Li

Matrix multiplication computation acceleration has been a research hotspot across various domains. Due to the characteristics of some applications, approximate matrix multiplication can achieve significant performance improvements without…

Numerical Analysis · Mathematics 2024-05-28 Hongyaoxing Gu

This paper investigates the system spectral efficiency (SE) in reconfigurable intelligent surface (RIS)-aided multiuser multiple-input single-output (MISO) systems, where RIS can reconfigure the propagation environment via a large number of…

Information Theory · Computer Science 2020-01-31 Yulan Gao , Chao Yong , Zehui Xiong , Dusit Niyato , Yue Xiao , Jun Zhao

Processing-in-memory (PIM) has shown extraordinary potential in accelerating neural networks. To evaluate the performance of PIM accelerators, we present an ISA-based simulation framework including a dedicated ISA targeting neural networks…

Hardware Architecture · Computer Science 2024-02-29 Xinyu Wang , Xiaotian Sun , Yinhe Han , Xiaoming Chen

Massive multiple-input multiple-output (MIMO) is expected to be a vital component in future 5G systems. As such, there is a need for new modeling in order to investigate the performance of massive MIMO not only at the physical layer, but…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Emma Fitzgerald , Michał Pióro , Fredrik Tufvesson

Flexible intelligent metasurface (FIM) technology holds immense potential for increasing the spectral efficiency and energy efficiency of wireless networks. In contrast to traditional rigid reconfigurable intelligent surfaces (RIS), an FIM…

Signal Processing · Electrical Eng. & Systems 2025-10-10 Hanwen Hu , Jiancheng An , Lu Gan , Naofal Al-Dhahir

Transformers are at the core of modern AI nowadays. They rely heavily on matrix multiplication and require efficient acceleration due to their substantial memory and computational requirements. Quantization plays a vital role in reducing…

Hardware Architecture · Computer Science 2026-04-03 Ahmed J. Abdelmaksoud , Cristian Sestito , Shiwei Wang , Themis Prodromakis

Processing-in-Memory (PIM) enhances memory with computational capabilities, potentially solving energy and latency issues associated with data transfer between memory and processors. However, managing concurrent computation and data flow…

Hardware Architecture · Computer Science 2025-05-09 Ahmed Mamdouh , Haoran Geng , Michael Niemier , Xiaobo Sharon Hu , Dayane Reis

Large-scale multiple-input multiple-output (MIMO) is an emerging wireless technology that deploys thousands of transmit antennas at the base-station to boost spectral efficiency. The classic weighted minimum mean-square-error (WMMSE)…

Information Theory · Computer Science 2025-03-17 Yi Feng , Kaiming Shen

We propose an algorithm for low rank matrix completion for matrices with binary entries which obtains explicit binary factors. Our algorithm, which we call TBMC (\emph{Tiling for Binary Matrix Completion}), gives interpretable output in the…

Numerical Analysis · Mathematics 2020-06-23 Melanie Beckerleg , Andrew Thompson

Computation of a signal's estimated covariance matrix is an important building block in signal processing, e.g., for spectral estimation. Each matrix element is a sum of products of elements in the input matrix taken over a sliding window.…

Data Structures and Algorithms · Computer Science 2013-03-12 Oded Green , Lior David , Ami Galperin , Yitzhak Birk

Deep learning hardware achieves high throughput and low power consumption by reducing computing precision and specializing in matrix multiplication. For machine learning inference, fixed-point value computation is commonplace, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-02 Hiroyuki Ootomo , Katsuhisa Ozaki , Rio Yokota
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