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This work explores the lesser studied objective of optimizing the multiply-and-accumulates executed during evaluation of the network. In particular, we propose using the Residue Number System (RNS) as the internal number representation…

Hardware Architecture · Computer Science 2017-12-14 Mohamed Abdelhamid , Skanda Koppula

Achieving high accuracy, while maintaining good energy efficiency, in analog DNN accelerators is challenging as high-precision data converters are expensive. In this paper, we overcome this challenge by using the residue number system (RNS)…

Hardware Architecture · Computer Science 2023-06-19 Cansu Demirkiran , Rashmi Agrawal , Vijay Janapa Reddi , Darius Bunandar , Ajay Joshi

Residue number system (RNS) enables dimensionality reduction of an arithmetic problem by representing a large number as a set of smaller integers, where the number is decomposed by prime number factorization using the moduli as basic…

Emerging Technologies · Computer Science 2017-12-04 Jiaxin Peng , Shuai Sun , Vikram K. Narayana , Volker J. Sorger , Tarek El-Ghazawi

Residue Number System (RNS), which originates from the Chinese Remainder Theorem, offers a promising future in VLSI because of its carry-free operations in addition, subtraction and multiplication. This property of RNS is very helpful to…

Hardware Architecture · Computer Science 2012-11-26 Chaitali Biswas Dutta , Partha Garai , Amitabha Sinha

Analog computing has reemerged as a promising avenue for accelerating deep neural networks (DNNs) due to its potential to overcome the energy efficiency and scalability challenges posed by traditional digital architectures. However,…

Emerging Technologies · Computer Science 2024-06-17 Cansu Demirkiran , Lakshmi Nair , Darius Bunandar , Ajay Joshi

We present a method to increase the dynamical range of a Residue Number System (RNS) by adding virtual RNS layers on top of the original RNS, where the required modular arithmetic for a modulus on any non-bottom layer is implemented by…

Cryptography and Security · Computer Science 2018-01-24 Henk D. L. Hollmann , Ronald Rietman , Sebastiaan de Hoogh , Ludo M. G. M. Tolhuizen , Paul Gorissen

Deep neural networks (DNNs) have become an enabling component for a myriad of artificial intelligence applications. DNNs have shown sometimes superior performance, even compared to humans, in cases such as self-driving, health applications,…

Neural and Evolutionary Computing · Computer Science 2023-07-12 Ghada Alsuhli , Vasileios Sakellariou , Hani Saleh , Mahmoud Al-Qutayri , Baker Mohammad , Thanos Stouraitis

Quantum Arithmetic faces limitations such as noise and resource constraints in the current Noisy Intermediate Scale Quantum (NISQ) era quantum computers. We propose using Distributed Quantum Computing (DQC) to overcome these limitations by…

Quantum Physics · Physics 2024-06-11 Bhaskar Gaur , Travis S. Humble , Himanshu Thapliyal

This paper presents a novel method to compare two numbers in Residue Number System (RNS) using an additional modulus, which is often already available because it is required in modular computations and digital signal processing scaling.Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Laurent-Stéphane Didier , Léa Glandus , Nadia El Mrabet , Jean-Marc Robert

Deep learning models deployed on edge devices frequently encounter resource variability, which arises from fluctuating energy levels, timing constraints, or prioritization of other critical tasks within the system. State-of-the-art machine…

Machine Learning · Computer Science 2025-07-29 Francesco Corti , Balz Maag , Joachim Schauer , Ulrich Pferschy , Olga Saukh

Recurrent neural networks (RNNs) have shown state of the art results for speech recognition, natural language processing, image captioning and video summarizing applications. Many of these applications run on low-power platforms, so their…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-09 Urmish Thakker , Ganesh Dasika , Jesse Beu , Matthew Mattina

Residue Number Systems (RNS) offer efficient modular arithmetic and natural parallelism, but direct integer division in RNS remains a difficult and comparatively underdeveloped operation. This paper builds on the type-II division algorithm…

Hardware Architecture · Computer Science 2026-04-07 Eric B. Olsen

Deep neural networks (DNN) have shown superior performance in a variety of tasks. As they rapidly evolve, their escalating computation and memory demands make it challenging to deploy them on resource-constrained edge devices. Though…

Machine Learning · Computer Science 2021-09-07 Jiaqi Gu , Hanqing Zhu , Chenghao Feng , Mingjie Liu , Zixuan Jiang , Ray T. Chen , David Z. Pan

Reservoir computing offers an energy-efficient alternative to deep neural networks (DNNs) by replacing complex hidden layers with a fixed nonlinear system and training only the final layer. This work investigates nanoelectromechanical…

Applied Physics · Physics 2024-09-26 Enise Kartal , Yunus Selcuk , Batuhan E. Kaynak , M. Taha Yildiz , Cenk Yanik , M. Selim Hanay

Recurrent Neural Networks (RNNs) are a class of machine learning algorithms used for applications with time-series and sequential data. Recently, there has been a strong interest in executing RNNs on embedded devices. However, difficulties…

Neural and Evolutionary Computing · Computer Science 2020-03-23 Nesma M. Rezk , Madhura Purnaprajna , Tomas Nordström , Zain Ul-Abdin

Deep Convolutional Neural Networks (CNNs) are widely employed in modern computer vision algorithms, where the input image is convolved iteratively by many kernels to extract the knowledge behind it. However, with the depth of convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-04-11 Chih-Ting Liu , Yi-Heng Wu , Yu-Sheng Lin , Shao-Yi Chien

We introduce a deep residual recurrent neural network (DR-RNN) as an efficient model reduction technique for nonlinear dynamical systems. The developed DR-RNN is inspired by the iterative steps of line search methods in finding the residual…

Computational Engineering, Finance, and Science · Computer Science 2017-09-05 J. Nagoor Kani , Ahmed H. Elsheikh

Recurrent Neural Network (RNN) applications form a major class of AI-powered, low-latency data center workloads. Most execution models for RNN acceleration break computation graphs into BLAS kernels, which lead to significant inter-kernel…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-01 Tian Zhao , Yaqi Zhang , Kunle Olukotun

-Residue Number System (RNS) is a valuable tool for fast and parallel arithmetic. It has a wide application in digital signal processing, fault tolerant systems, etc. In this work, we introduce the 3-moduli set {2^n, 2^{2n}-1, 2^{2n}+1} and…

Hardware Architecture · Computer Science 2009-01-09 Arash Hariri , K. Navi , Reza Rastegar

Deep Neural Networks (DNNs) are the de facto algorithm for tackling cognitive tasks in real-world applications such as speech recognition and natural language processing. DNN inference comprises numerous dot product operations between…

Hardware Architecture · Computer Science 2023-11-20 Nitesh Narayana GS , Marc Ordoñez , Lokananda Hari , Franyell Silfa , Antonio González
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