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Many recent computational accelerators provide non-standard (e.g., reduced precision) arithmetic operations to enhance performance for floating-point matrix multiplication. Unfortunately, the properties of these accelerators are not widely…

Hardware Architecture · Computer Science 2025-02-25 Benjamin Valpey , Xinyi Li , Sreepathi Pai , Ganesh Gopalakrishnan

Processing-in-memory (PIM) has emerged as the go to solution for addressing the von Neumann bottleneck in edge AI accelerators. However, state-of-the-art (SoTA) digital PIM approaches suffer from low compute density, primarily due to the…

Hardware Architecture · Computer Science 2025-10-23 Mukul Lokhande , Narendra Singh Dhakad , Seema Chouhan , Akash Sankhe , Santosh Kumar Vishvakarma

Modern deep neural network (DNN) models generally require a huge amount of weight and activation values to achieve good inference outcomes. Those data inevitably demand a massive off-chip memory capacity/bandwidth, and the situation gets…

Machine Learning · Computer Science 2021-04-27 Cheng-Wei Huang , Tim-Wei Chen , Juinn-Dar Huang

Matrix multiplication is the foundation from much of the success from high performance technologies like deep learning, scientific simulations, and video graphics. High level programming languages like Python and R rely on highly optimized…

Performance · Computer Science 2025-09-08 Ethan Davis

Floating-point data is widely used across various domains. Depending on the required precision, each floating-point value can occupy several bytes. Lossless storage of this information is crucial due to its critical accuracy, as seen in…

Databases · Computer Science 2025-08-11 Samirasadat Jamalidinan , Kazem Cheshmi

Logarithmic Number Systems (LNS) hold considerable promise in helping reduce the number of bits needed to represent a high dynamic range of real-numbers with finite precision, and also efficiently support multiplication and division.…

Mathematical Software · Computer Science 2024-01-31 Thanh Son Nguyen , Alexey Solovyev , Ganesh Gopalakrishnan

Conventional hardware-friendly quantization methods, such as fixed-point or integer, tend to perform poorly at very low word sizes as their shrinking dynamic ranges cannot adequately capture the wide data distributions commonly seen in…

Machine Learning · Computer Science 2020-02-12 Thierry Tambe , En-Yu Yang , Zishen Wan , Yuntian Deng , Vijay Janapa Reddi , Alexander Rush , David Brooks , Gu-Yeon Wei

The training for deep neural networks (DNNs) demands immense energy consumption, which restricts the development of deep learning as well as increases carbon emissions. Thus, the study of energy-efficient training for DNNs is essential. In…

Machine Learning · Computer Science 2023-03-01 Chang Liu , Rui Zhang , Xishan Zhang , Yifan Hao , Zidong Du , Xing Hu , Ling Li , Qi Guo

Deploying mixed-precision neural networks on edge devices is friendly to hardware resources and power consumption. To support fully mixed-precision neural network inference, it is necessary to design flexible hardware accelerators for…

Hardware Architecture · Computer Science 2025-02-04 Liang Zhao , Kunming Shao , Fengshi Tian , Tim Kwang-Ting Cheng , Chi-Ying Tsui , Yi Zou

Motivated by the importance of floating-point computations, we study the problem of securely and accurately summing many floating-point numbers. Prior work has focused on security absent accuracy or accuracy absent security, whereas our…

Cryptography and Security · Computer Science 2023-12-19 Marina Blanton , Michael T. Goodrich , Chen Yuan

The recent rise of large language models (LLMs) has resulted in increased efforts towards running LLMs at reduced precision. Running LLMs at lower precision supports resource constraints and furthers their democratization, enabling users to…

Machine Learning · Computer Science 2023-07-10 Lakshmi Nair , Mikhail Bernadskiy , Arulselvan Madhavan , Craig Chan , Ayon Basumallik , Darius Bunandar

The study addresses the problem of precision in floating-point (FP) computations. A method for estimating the errors which affect intermediate and final results is proposed and a summary of many software simulations is discussed. The basic…

Numerical Analysis · Computer Science 2012-01-31 Glauco Masotti

Large Language Models (LLMs) with Mixture-of-Expert (MoE) architectures achieve superior model performance with reduced computation costs, but at the cost of high memory capacity and bandwidth requirements. Near-Memory Processing (NMP)…

Performance · Computer Science 2025-09-12 Haochen Huang , Shuzhang Zhong , Zhe Zhang , Shuangchen Li , Dimin Niu , Hongzhong Zheng , Runsheng Wang , Meng Li

To obtain accurate results in numerical computation, high-precision arithmetic is a straightforward approach. However, most processors lack hardware support for floating-point formats beyond double precision (FP64). Double-word arithmetic…

Mathematical Software · Computer Science 2025-10-16 Daichi Mukunoki , Katsuhisa Ozaki

Quantization has become a mainstream compression technique for reducing model size, computational requirements, and energy consumption for modern deep neural networks (DNNs). With improved numerical support in recent hardware, including…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Jordan Dotzel , Gang Wu , Andrew Li , Muhammad Umar , Yun Ni , Mohamed S. Abdelfattah , Zhiru Zhang , Liqun Cheng , Martin G. Dixon , Norman P. Jouppi , Quoc V. Le , Sheng Li

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

In this paper, two approximate 3*3 multipliers are proposed and the synthesis results of the ASAP-7nm process library justify that they can reduce the area by 31.38% and 36.17%, and the power consumption by 36.73% and 35.66% compared with…

Hardware Architecture · Computer Science 2022-11-17 Yao Lu , Jide Zhang , Su Zheng , Zhen Li , Lingli Wang

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

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

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