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A multiply-accumulate (MAC) operation is the main computation unit for DSP applications. DSP blocks are one of the efficient solutions to implement MACs in FPGA's. However, since the DSP blocks have wide multiplier and adder blocks, MAC…

Hardware Architecture · Computer Science 2021-10-26 Ercan Kalali , Rene van Leuken

With the increasing complexity of machine learning models, managing computational resources like memory and processing power has become a critical concern. Mixed precision techniques, which leverage different numerical precisions during…

Machine Learning · Computer Science 2026-04-20 Juyoung Yun , Sol Choi , Francois Rameau , Byungkon Kang , Zhoulai Fu

Largely due to their increased native capacity for numerical intensity and power efficiency, reduced-precision floating-point computing resources, primarily used in artificial intelligence (AI) applications, have expanded at a greater rate…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Harun Bayraktar , Cole Brower , John Gunnels , Greg Henry , Cherin Joseph , Jack Kosaian , Dmitry Lyakh , Lukas Mosimann , Victor Podlozhnyuk , Addison Richards , Paul Springer , Haicheng Wu

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

In this paper, we present an energy-efficient, yet high-speed approximate maximally redundant signed digit (MRSD) multiplier (called AMR-MUL) based on a parallel structure. For the reduction stage, we suggest several approximate Full-Adder…

Hardware Architecture · Computer Science 2022-08-31 Saba Amanollahi , Mehdi Kamal , Ali-Afzali-Kusha , Massoud Pedram

The use of low-precision fixed-point arithmetic along with stochastic rounding has been proposed as a promising alternative to the commonly used 32-bit floating point arithmetic to enhance training neural networks training in terms of…

Machine Learning · Computer Science 2018-04-17 Marc Ortiz , Adrián Cristal , Eduard Ayguadé , Marc Casas

Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially…

Hardware Architecture · Computer Science 2023-06-30 Ying Wu , Chuangtao Chen , Weihua Xiao , Xuan Wang , Chenyi Wen , Jie Han , Xunzhao Yin , Weikang Qian , Cheng Zhuo

Large language models have been widely adopted but require significant GPU memory for inference. We develop a procedure for Int8 matrix multiplication for feed-forward and attention projection layers in transformers, which cut the memory…

Machine Learning · Computer Science 2022-11-11 Tim Dettmers , Mike Lewis , Younes Belkada , Luke Zettlemoyer

Numerical codes that require arbitrary precision floating point (APFP) numbers for their core computation are dominated by elementary arithmetic operations due to the super-linear complexity of multiplication in the number of mantissa bits.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-14 Johannes de Fine Licht , Christopher A. Pattison , Alexandros Nikolaos Ziogas , David Simmons-Duffin , Torsten Hoefler

Large language models (LLMs) have shown impressive performance on language tasks but face challenges when deployed on resource-constrained devices due to their extensive parameters and reliance on dense multiplications, resulting in high…

Machine Learning · Computer Science 2024-11-20 Haoran You , Yipin Guo , Yichao Fu , Wei Zhou , Huihong Shi , Xiaofan Zhang , Souvik Kundu , Amir Yazdanbakhsh , Yingyan Celine Lin

Large language models (LLMs) have demonstrated state-of-the-art performance across various tasks. However, the latency of inference and the large GPU memory consumption of LLMs restrict their deployment performance. Recently, there have…

Machine Learning · Computer Science 2024-02-29 Yi Zhang , Fei Yang , Shuang Peng , Fangyu Wang , Aimin Pan

This paper presents a novel approach for performing computations using Look-Up Tables (LUTs) tailored specifically for Compute-in-Memory applications. The aim is to address the scalability challenges associated with LUT-based computation by…

Hardware Architecture · Computer Science 2023-11-20 Peyman Dehghanzadeh , Baibhab Chatterjee , Swarup Bhunia

Our goal is to find accurate and efficient algorithms, when they exist, for evaluating rational expressions containing floating point numbers, and for computing matrix factorizations (like LU and the SVD) of matrices with rational…

Numerical Analysis · Mathematics 2025-10-20 James Demmel

The increasing computational and memory demands of large language models (LLMs) necessitate innovative approaches to optimize resource usage without compromising performance. This paper leverages microscaling floating-point formats, a novel…

Neural and Evolutionary Computing · Computer Science 2025-10-03 Marco Cococcioni , Dario Pagani , Federico Rossi

Representing deep neural networks (DNNs) in low-precision is a promising approach to enable efficient acceleration and memory reduction. Previous methods that train DNNs in low-precision typically keep a copy of weights in high-precision…

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…

Recent applications in the domain of near-sensor computing require the adoption of floating-point arithmetic to reconcile high precision results with a wide dynamic range. In this paper, we propose a multi-core computing cluster that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Fabio Montagna , Stefan Mach , Simone Benatti , Angelo Garofalo , Gianmarco Ottavi , Luca Benini , Davide Rossi , Giuseppe Tagliavini

There is a growing interest in the use of reduced-precision arithmetic, exacerbated by the recent interest in artificial intelligence, especially with deep learning. Most architectures already provide reduced-precision capabilities (e.g.,…

Hardware Architecture · Computer Science 2022-12-09 Olivier Sentieys , Daniel Menard

Point cloud classification plays a crucial role in the processing and analysis of data from 3D sensors such as LiDAR, which are commonly used in applications like autonomous vehicles, robotics, and environmental monitoring. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Qiang Zheng , Chao Zhang , Jian Sun

(Pseudo)random sampling, a costly yet widely used method in (probabilistic) machine learning and Markov Chain Monte Carlo algorithms, remains unfeasible on a truly large scale due to unmet computational requirements. We introduce an…

Computational Physics · Physics 2025-01-03 Nicolas Alder , Shivam Nitin Kajale , Milin Tunsiricharoengul , Deblina Sarkar , Ralf Herbrich
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