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In this study, we report a parallel algorithm for the infinite-size density matrix renormalization group (iDMRG) that is applicable to one-dimensional (1D) quantum systems with $\ell$-site periods, where $\ell$ is an even number. It…

Strongly Correlated Electrons · Physics 2018-07-03 Hiroshi Ueda

Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

Compressing large neural networks with minimal performance loss is crucial to enabling their deployment on edge devices. (Cho et al., 2022) proposed a weight quantization method that uses an attention-based clustering algorithm called…

Machine Learning · Computer Science 2023-12-19 Sean Jaffe , Ambuj K. Singh , Francesco Bullo

Despite the significant potential of FP8 data formats for large language model (LLM) pre-training, their adoption has been limited due to challenges in maintaining stability at scale. Existing approaches often rely on suboptimal…

Machine Learning · Computer Science 2025-10-28 Alejandro Hernández-Cano , Dhia Garbaya , Imanol Schlag , Martin Jaggi

General matrix/matrix multiplication (GEMM) is crucial for scientific computing and machine learning. However, the increased scale of the computing platforms raises concerns about hardware and software reliability. In this poster, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-10 Shixun Wu , Yujia Zhai , Jiajun Huang , Zizhe Jian , Zizhong Chen

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

Hardware Architecture · Computer Science 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

The incorporation of high-performance optoelectronic devices into photonic neuromorphic processors can substantially accelerate computationally intensive operations in machine learning (ML) algorithms. However, the conventional device…

Emerging Technologies · Computer Science 2022-03-14 Yingheng Tang , Princess Tara Zamani , Ruiyang Chen , Jianzhu Ma , Minghao Qi , Cunxi Yu , Weilu Gao

Deep Neural Networks (DNNs) have transformed the field of machine learning and are widely deployed in many applications involving image, video, speech and natural language processing. The increasing compute demands of DNNs have been widely…

Machine Learning · Computer Science 2021-08-17 Sourjya Roy , Mustafa Ali , Anand Raghunathan

In recent years fused-multiply-add (FMA) units with lower-precision multiplications and higher-precision accumulation have proven useful in machine learning/artificial intelligence applications, most notably in training deep neural networks…

Mathematical Software · Computer Science 2019-04-16 Greg Henry , Ping Tak Peter Tang , Alexander Heinecke

The inherent diversity of computation types within the deep neural network (DNN) models often requires a variety of specialized units in hardware processors, which limits computational efficiency, increasing both inference latency and power…

Machine Learning · Computer Science 2024-08-21 Ruiqi Sun , Siwei Ye , Jie Zhao , Xin He , Jianzhe Lin , Yiran Li , An Zou

Modern Neural Network (NN) architectures heavily rely on vast numbers of multiply-accumulate arithmetic operations, constituting the predominant computational cost. Therefore, this paper proposes a high-throughput, scalable and energy…

Hardware Architecture · Computer Science 2024-07-09 Xuqi Zhu , Huaizhi Zhang , JunKyu Lee , Jiacheng Zhu , Chandrajit Pal , Sangeet Saha , Klaus D. McDonald-Maier , Xiaojun Zhai

Hybrid opto-electronic neural networks combine optical front-ends with electronic back-ends to perform vision tasks, but joint end-to-end (E2E) optimization of optical and electronic components is computationally expensive due to large…

Image and Video Processing · Electrical Eng. & Systems 2026-02-16 Ali Almuallem , Harshana Weligampola , Abhiram Gnanasambandam , Wei Xu , Dilshan Godaliyadda , Hamid R. Sheikh , Stanley H. Chan , Qi Guo

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. In this paper, we consider SpGEMMs performed on hundreds of thousands of processors generating…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-19 Md Taufique Hussain , Oguz Selvitopi , Aydin Buluç , Ariful Azad

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

FrodoKEM is a lattice-based post-quantum key encapsulation mechanism (KEM). It has been considered for standardization by the International Organization for Standardization (ISO) due to its robust security profile. However, its hardware…

Cryptography and Security · Computer Science 2026-01-26 Kai Li , Jiahao Lu , Fu Yao , Guang Zeng , Dongsheng Liu , Shengfei Gu , Zhengpeng Zhao , Jiachen Wang

Many scientific computing problems can be reduced to Matrix-Matrix Multiplications (MMM), making the General Matrix Multiply (GEMM) kernels in the Basic Linear Algebra Subroutine (BLAS) of interest to the high-performance computing…

Hardware Architecture · Computer Science 2023-05-31 Louis Ledoux , Marc Casas

Stochastic computing (SC) offers hardware simplicity but suffers from low throughput, while high-throughput Digital Computing-in-Memory (DCIM) is bottlenecked by costly adder logic for matrix-vector multiplication (MVM). To address this…

Hardware Architecture · Computer Science 2026-01-13 Kunming Shao , Liang Zhao , Jiangnan Yu , Zhipeng Liao , Xiaomeng Wang , Yi Zou , Tim Kwang-Ting Cheng , Chi-Ying Tsui

Training large Mixture-of-Experts (MoE) models remains computationally prohibitive due to their extreme compute and memory demands. Although low-precision training promises to accelerate computation and reduce memory footprint, existing…

Machine Learning · Computer Science 2025-11-05 Fengjuan Wang , Zhiyi Su , Xingzhu Hu , Cheng Wang , Mou Sun

We introduce Stream-K, a work-centric parallelization of matrix multiplication (GEMM) and related computations in dense linear algebra. Whereas contemporary decompositions are primarily tile-based, our method operates by partitioning an…

Data Structures and Algorithms · Computer Science 2023-01-11 Muhammad Osama , Duane Merrill , Cris Cecka , Michael Garland , John D. Owens

A widely-used technique in designing energy-efficient deep neural network (DNN) accelerators is quantization. Recent progress in this direction has reduced the bitwidths used in DNN down to 2. Meanwhile, many prior works apply approximate…

Machine Learning · Computer Science 2025-09-11 Yi Ren , Ruge Xu , Xinfei Guo , Weikang Qian