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In computation-intensive domains such as digital signal processing, encryption, and neural networks, the performance of arithmetic units, including adders and multipliers, is pivotal. Conventional numerical systems often fall short of…

Hardware Architecture · Computer Science 2024-08-13 Soudabeh Mousavi , Dara Rahmati , Saeid Gorgin , Jeong-A Lee

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

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

Residue number systems (RNS) represent numbers by their remainders modulo a set of relatively prime numbers. This paper pro- poses an efficient hardware implementation of modular multiplication and of the modulo function (X(mod P)), based…

Hardware Architecture · Computer Science 2018-08-10 Danila Gorodecky , Tiziano Villa

A residual-networks family with hundreds or even thousands of layers dominates major image recognition tasks, but building a network by simply stacking residual blocks inevitably limits its optimization ability. This paper proposes a novel…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Ke Zhang , Miao Sun , Tony X. Han , Xingfang Yuan , Liru Guo , Tao Liu

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

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

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

We introduce Repetition-Reduction network (RRNet) for resource-constrained depth estimation, offering significantly improved efficiency in terms of computation, memory and energy consumption. The proposed method is based on…

Computer Vision and Pattern Recognition · Computer Science 2019-08-01 Sangyun Oh , Hye-Jin S. Kim , Jongeun Lee , Junmo Kim

Residual networks (Resnets) have become a prominent architecture in deep learning. However, a comprehensive understanding of Resnets is still a topic of ongoing research. A recent view argues that Resnets perform iterative refinement of…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Stanisław Jastrzębski , Devansh Arpit , Nicolas Ballas , Vikas Verma , Tong Che , Yoshua Bengio

Determining the precise rank is an important problem in many large-scale applications with matrix data exploiting low-rank plus noise models. In this paper, we suggest a universal approach to rank inference via residual subsampling (RIRS)…

Statistics Theory · Mathematics 2024-11-12 Xiao Han , Qing Yang , Yingying Fan

In this study, we investigate how the updating of weights during forward operation and the computation of gradients during backpropagation impact the optimization process, training procedure, and overall performance of the neural network,…

Machine Learning · Computer Science 2024-07-10 Amir Noorizadegan , D. L. Young , Y. C. Hon , C. S. Chen

Residual Neural Networks [1] won first place in all five main tracks of the ImageNet and COCO 2015 competitions. This kind of network involves the creation of pluggable modules such that the output contains a residual from the input. The…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Yatin Saraiya

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

Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled system of ordinary differential equations known as neural…

Analysis of PDEs · Mathematics 2022-05-11 M. Herty , A. Thuenen , T. Trimborn , G. Visconti

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

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

Experience reuse is key to sample-efficient reinforcement learning. One of the critical issues is how the experience is represented and stored. Previously, the experience can be stored in the forms of features, individual models, and the…

Machine Learning · Computer Science 2019-06-03 Wen-Ji Zhou , Yang Yu , Yingfeng Chen , Kai Guan , Tangjie Lv , Changjie Fan , Zhi-Hua Zhou

A family of super deep networks, referred to as residual networks or ResNet, achieved record-beating performance in various visual tasks such as image recognition, object detection, and semantic segmentation. The ability to train very deep…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Xin Yu , Zhiding Yu , Srikumar Ramalingam
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