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Low-precision arithmetic operations to accelerate deep-learning applications on field-programmable gate arrays (FPGAs) have been studied extensively, because they offer the potential to save silicon area or increase throughput. However,…

Signal Processing · Electrical Eng. & Systems 2019-11-20 Julian Faraone , Martin Kumm , Martin Hardieck , Peter Zipf , Xueyuan Liu , David Boland , Philip H. W. Leong

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area…

Emerging Technologies · Computer Science 2018-03-20 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

Thanks to the computational power of modern cluster machines, numerical simulations can provide, with an unprecedented level of details, new insights into fluid mechanics. However, taking full advantage of this hardware remains challenging…

Fluid Dynamics · Physics 2022-09-14 F. Brogi , S. Bnà , G. Boga , G. Amati , T. Esposti Ongaro , M. Cerminara

In many instances of fixed-point multiplication, a full precision result is not required. Instead it is sufficient to return a faithfully rounded result. Faithful rounding permits the machine representable number either immediately above or…

Hardware Architecture · Computer Science 2024-04-23 Theo Drane , Samuel Coward , Mertcan Temel , Joe Leslie-Hurd

In this paper, we propose a scalable approximate multiplier design, scaleTRIM, that approximates the multiplication operation using fitted linear functions, also referred to as linearization. We show that multiplication operations can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Ebrahim Farahmand , Mohammad Javad Askarizadeh , Ali Mahani , Behnam Ghavami , Hassan Ghasemzadeh , Muhammad Abdullah Hanif , Muhammad Shafique

Deep representation learning has become one of the most widely adopted approaches for visual search, recommendation, and identification. Retrieval of such representations from a large database is however computationally challenging.…

Machine Learning · Computer Science 2020-04-14 Biswajit Paria , Chih-Kuan Yeh , Ian E. H. Yen , Ning Xu , Pradeep Ravikumar , Barnabás Póczos

By quantizing network weights and activations to low bitwidth, we can obtain hardware-friendly and energy-efficient networks. However, existing quantization techniques utilizing the straight-through estimator and piecewise constant…

Machine Learning · Computer Science 2024-07-24 Hiroyuki Tokunaga , Joel Nicholls , Daria Vazhenina , Atsunori Kanemura

The number of IoT devices is expected to continue its dramatic growth in the coming years and, with it, a growth in the amount of data to be transmitted, processed and stored. Compression techniques that support analytics directly on the…

Data Structures and Algorithms · Computer Science 2023-08-29 Francesco Taurone , Daniel E. Lucani , Marcell Fehér , Qi Zhang

The typical processors used for scientific computing have fixed-width data-paths. This implies that mathematical libraries were specifically developed to target each of these fixed precisions (binary16, binary32, binary64). However, to…

Mathematical Software · Computer Science 2020-05-07 David Defour , Pablo de Oliveira Castro , Matei Istoan , Eric Petit

Analog mixed-signal (AMS) devices promise faster, more energy-efficient deep neural network (DNN) inference than their digital counterparts. However, recent studies show that DNNs on AMS devices with fixed-point numbers can incur an…

Deploying neural networks on edge devices entails a careful balance between the energy required for inference and the accuracy of the resulting classification. One technique for navigating this tradeoff is approximate computing: the process…

Machine Learning · Computer Science 2025-09-18 Morteza Rezaalipour , Francesco Costa , Marco Biasion , Rodrigo Otoni , George A. Constantinides , Laura Pozzi

The rapid adaptation of data driven AI models, such as deep learning inference, training, Vision Transformers (ViTs), and other HPC applications, drives a strong need for runtime precision configurable different non linear activation…

Hardware Architecture · Computer Science 2026-02-12 Mukul Lokhande , Gopal Raut , Santosh Kumar Vishvakarma

Floating-point non-associativity makes fundamental deep learning operations, such as matrix multiplication (matmul) on GPUs, inherently non-deterministic. Despite this, the statistical structure of the resulting numerical error remains…

Numerical Analysis · Mathematics 2025-11-04 Tadisetty Sai Yashwanth

Approximate computing is a nascent energy-efficient computing paradigm suitable for error-tolerant applications. However, the value of approximation error depends on the applied inputs where individual output error may reach intolerable…

Emerging Technologies · Computer Science 2019-08-06 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

Reservoir computing systems rely on the recurrent multiplication of a very large, sparse, fixed matrix. We argue that direct spatial implementation of these fixed matrices minimizes the work performed in the computation, and allows for…

Hardware Architecture · Computer Science 2021-01-25 Matthew Denton , Herman Schmit

The growing demand for edge-AI systems requires arithmetic units that balance numerical precision, energy efficiency, and compact hardware while supporting diverse formats. Posit arithmetic offers advantages over floating- and fixed-point…

Hardware Architecture · Computer Science 2026-01-27 Sonu Kumar , Lavanya Vinnakota , Mukul Lokhande , Santosh Kumar Vishvakarma , Adam Teman

In our recent work on iterative computation in hardware, we showed that arbitrary-precision solvers can perform more favorably than their traditional arithmetic equivalents when the latter's precisions are either under- or over-budgeted for…

Numerical Analysis · Mathematics 2020-10-20 He Li , Ian McInerney , James J. Davis , George A. Constantinides

While advancements in quantization have significantly reduced the computational costs of inference in deep learning, training still predominantly relies on complex floating-point arithmetic. Low-precision fixed-point training presents a…

Machine Learning · Computer Science 2025-10-21 Hassan Hamad , Yuou Qiu , Peter A. Beerel , Keith M. Chugg

Precision tuning or customized precision number representations is emerging, in these recent years, as one of the most promising techniques that has a positive impact on the footprint of programs concerning energy consumption, bandwidth…

Software Engineering · Computer Science 2022-03-16 Dorra Ben Khalifa , Matthieu Martel

Increasingly larger and better Transformer models keep advancing state-of-the-art accuracy and capability for Natural Language Processing applications. These models demand more computational power, storage, and energy. Mokey reduces the…

Machine Learning · Computer Science 2022-06-07 Ali Hadi Zadeh , Mostafa Mahmoud , Ameer Abdelhadi , Andreas Moshovos