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In this paper, we discuss numerical methods for the eigenvalue decomposition of real symmetric matrices. While many existing methods can compute approximate eigenpairs with sufficiently small backward errors, the magnitude of the resulting…

Numerical Analysis · Mathematics 2026-02-24 Takeshi Terao , Katsuhisa Ozaki

Multiplication is a core operation in modern neural network (NN) computations, contributing significantly to energy consumption. The linear-complexity multiplication (L-Mul) algorithm is specifically proposed as an approximate…

Hardware Architecture · Computer Science 2024-12-30 Ruiqi Chen , Yangxintong Lyu , Han Bao , Bruno da Silva

Deep Forest is a prominent machine learning algorithm known for its high accuracy in forecasting. Compared with deep neural networks, Deep Forest has almost no multiplication operations and has better performance on small datasets. However,…

Machine Learning · Computer Science 2022-11-07 Mingyu Zhu , Jiapeng Luo , Wendong Mao , Zhongfeng Wang

It remains a challenge to run Deep Learning in devices with stringent power budget in the Internet-of-Things. This paper presents a low-power accelerator for processing Deep Neural Networks in the embedded devices. The power reduction is…

Hardware Architecture · Computer Science 2017-05-24 Yuxiang Huan , Yifan Qin , Yantian You , Lirong Zheng , Zhuo Zou

Hardware accelerations of deep learning systems have been extensively investigated in industry and academia. The aim of this paper is to achieve ultra-high energy efficiency and performance for hardware implementations of deep neural…

Machine Learning · Computer Science 2018-02-20 Yanzhi Wang , Caiwen Ding , Zhe Li , Geng Yuan , Siyu Liao , Xiaolong Ma , Bo Yuan , Xuehai Qian , Jian Tang , Qinru Qiu , Xue Lin

Tensor Core is a mixed-precision matrix-matrix multiplication unit on NVIDIA GPUs with a theoretical peak performance of more than 300 TFlop/s on Ampere architectures. Tensor Cores were developed in response to the high demand of dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-19 Hiroyuki Ootomo , Rio Yokota

Matrix multiplication is the dominant computation during Machine Learning (ML) inference. To efficiently perform such multiplication operations, Compute-in-memory (CiM) paradigms have emerged as a highly energy efficient solution. However,…

Hardware Architecture · Computer Science 2025-03-03 Tanvi Sharma , Mustafa Ali , Indranil Chakraborty , Kaushik Roy

A lot of recent progress has been made in ultra low-bit quantization, promising significant improvements in latency, memory footprint and energy consumption on edge devices. Quantization methods such as Learned Step Size Quantization can…

Transformer-based large language models (LLMs) have achieved remarkable success as model sizes continue to grow, yet their deployment remains challenging due to significant computational and memory demands. Quantization has emerged as a…

Machine Learning · Computer Science 2024-11-26 Yu Zhang , Mingzi Wang , Lancheng Zou , Wulong Liu , Hui-Ling Zhen , Mingxuan Yuan , Bei Yu

Montgomery modular multiplication is widely-used in public key cryptosystems (PKC) and affects the efficiency of upper systems directly. However, modulus is getting larger due to the increasing demand of security, which results in a heavy…

Cryptography and Security · Computer Science 2026-03-17 Yuxuan Zhang , Hua Guo , Chen Chen , Yewei Guan , Xiyong Zhang , Zhenyu Guan

The ever-increasing data demand craves advancements in high-speed and energy-efficient computing hardware. Analog optical neural network (ONN) processors have emerged as a promising solution, offering benefits in bandwidth and energy…

Optics · Physics 2026-04-07 Chao Luan , Ronald Davis , Zaijun Chen , Dirk Englund , Ryan Hamerly

Deep neural networks have achieved state-of-the-art results in a wide range of applications, from natural language processing and computer vision to speech recognition. However, as tasks become increasingly complex, model sizes continue to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Tomer Gafni , Asaf Karnieli , Yair Hanani

Sparse-dense linear algebra is crucial in many domains, but challenging to handle efficiently on CPUs, GPUs, and accelerators alike; multiplications with sparse formats like CSR and CSF require indirect memory lookups. In this work, we…

Hardware Architecture · Computer Science 2020-12-15 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

With the rapid advent of generative models, efficiently deploying these models on specialized hardware has become critical. Tensor Processing Units (TPUs) are designed to accelerate AI workloads, but their high power consumption…

Hardware Architecture · Computer Science 2025-03-04 Zhantong Zhu , Hongou Li , Wenjie Ren , Meng Wu , Le Ye , Ru Huang , Tianyu Jia

Scientific workloads have traditionally exploited high levels of sparsity to accelerate computation and reduce memory requirements. While deep neural networks can be made sparse, achieving practical speedups on GPUs is difficult because…

Machine Learning · Computer Science 2020-09-02 Trevor Gale , Matei Zaharia , Cliff Young , Erich Elsen

Mixing precisions for performance has been an ongoing trend as the modern hardware accelerators started including new, and mostly lower-precision, data formats. The advantage of using them is a great potential of performance gain and energy…

The demand for executing Deep Neural Networks (DNNs) with low latency and minimal power consumption at the edge has led to the development of advanced heterogeneous Systems-on-Chips (SoCs) that incorporate multiple specialized computing…

Machine Learning · Computer Science 2025-02-24 Matteo Risso , Alessio Burrello , Daniele Jahier Pagliari

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi

Matrix-multiply-accumulate (MMA) units, or tensor cores, are now widespread across modern computing architectures. Yet, their use for particle-grid operators remains limited. In implicit particle methods, mass-matrix assembly is a…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Luca Pennati , Stefano Markidis

Modern graphics computing units (GPUs) are designed and optimized to perform highly parallel numerical calculations. This parallelism has enabled (and promises) significant advantages, both in terms of energy performance and calculation. In…

Hardware Architecture · Computer Science 2021-10-26 Quentin Gallouédec