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The $N$th power of a polynomial matrix of fixed size and degree can be computed by binary powering as fast as multiplying two polynomials of linear degree in~$N$. When Fast Fourier Transform (FFT) is available, the resulting complexity is…

Symbolic Computation · Computer Science 2023-05-29 Alin Bostan , Vincent Neiger , Sergey Yurkevich

Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field multiplier is regarded as the bottleneck arithmetic unit for such applications and it is the most complicated operation over finite field…

Information Theory · Computer Science 2023-09-15 Saeideh Nabipour , Gholamreza Zare Fatin , Javad Javidan

Between the leaves and the nodes of a complete binary tree, a separate parent-child-sister hierarchy is employed independent of the parent-child-sister hierarchy used for the rest of the tree. Two different versions of such a local…

Data Structures and Algorithms · Computer Science 2014-01-31 Mevlut Bulut

Prime factorization (P = M*N) is considered to be a promising application in quantum computations. We perform 4-bit factorization in experiments using a superconducting flux qubit toward quantum annealing. Our proposed method uses a…

Quantum Physics · Physics 2023-08-15 Daisuke Saida , Mutsuo Hidaka , Yuki Yamanashi

The Dadda algorithm is a parallel structured multiplier, which is quite faster as compared to array multipliers, i.e., Booth, Braun, Baugh-Wooley, etc. However, it consumes more power and needs a larger number of gates for hardware…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Muteen Munawar , Zain Shabbir , Muhammad Akram

Convolutional Neural Networks (CNNs) are state-of-the-art in numerous computer vision tasks such as object classification and detection. However, the large amount of parameters they contain leads to a high computational complexity and…

Machine Learning · Computer Science 2019-01-01 Ghouthi Boukli Hacene , Vincent Gripon , Matthieu Arzel , Nicolas Farrugia , Yoshua Bengio

Many papers have presented multi-valued circuits in various technologies as a solution to reduce or solve interconnection issues in binary circuits. This assumption is discussed. While 4-valued signaling could divide by two the number of…

Hardware Architecture · Computer Science 2020-12-03 Daniel Etiemble

Complementary metal oxide semiconductor technology (CMOS) has been faced critical challenges in nano-scale regime. CNTFET (Carbon Nanotube Field effect transistor) technology is a promising alternative for CMOS technology. In this paper, we…

Hardware Architecture · Computer Science 2013-03-12 Samira Shirinabadi Farahani , Ronak Zarhoun , Mohammad Hossein Moaiyeri , Keivan Navi

Bit-level sparsity in quantized deep neural networks (DNNs) offers significant potential for optimizing Multiply-Accumulate (MAC) operations. However, two key challenges still limit its practical exploitation. First, conventional bit-serial…

Hardware Architecture · Computer Science 2025-07-15 Feilong Qiaoyuan , Jihe Wang , Zhiyu Sun , Linying Wu , Yuanhua Xiao , Danghui Wang

Binary embeddings provide efficient and powerful ways to perform operations on large scale data. However binary embedding typically requires long codes in order to preserve the discriminative power of the input space. Thus binary coding…

Data Structures and Algorithms · Computer Science 2015-12-08 Felix X. Yu , Aditya Bhaskara , Sanjiv Kumar , Yunchao Gong , Shih-Fu Chang

A theoretical model of a quantum device which can factorize any number N in two steps i.e. by preparing an input state and performing a measurement is discussed. The analysis reveals that the duration of state preparation and measurement is…

Quantum Physics · Physics 2007-05-23 Robert Alicki

Binary neural networks (BNNs), where both weights and activations are binarized into 1 bit, have been widely studied in recent years due to its great benefit of highly accelerated computation and substantially reduced memory footprint that…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Zhuo Su , Linpu Fang , Deke Guo , Dewen Hu , Matti Pietikäinen , Li Liu

Mathematically, ternary coding is more efficient than binary coding. It is little used in computation because technology for binary processing is already established and the implementation of ternary coding is more complicated, but remains…

Artificial Intelligence · Computer Science 2018-07-18 Subhash Kak

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

This paper presents a structural design of the hardware-efficient module for implementation of convolution neural network (CNN) basic operation with reduced implementation complexity. For this purpose we utilize some modification of the…

Signal Processing · Electrical Eng. & Systems 2018-11-09 Aleksandr Cariow , Galina Cariowa

Multiplier circuits play an important role in reversible computation, which is helpful in diverse areas such as low power CMOS design, optical computing, DNA computing and bioinformatics. Here we propose a new reversible multiplier circuit…

Quantum Physics · Physics 2009-07-21 Anindita Banerjee , Anirban Pathak

Ternary Neural Networks (TNNs) have received much attention due to being potentially orders of magnitude faster in inference, as well as more power efficient, than full-precision counterparts. However, 2 bits are required to encode the…

Machine Learning · Computer Science 2021-07-30 Peng Chen , Bohan Zhuang , Chunhua Shen

Fast combinational multipliers with large bit widths can occupy significant silicon area, which also drives up power consumption. Area can be reduced through resource sharing (i.e., folding) at the expense of lower throughput, which is…

Hardware Architecture · Computer Science 2025-09-03 Ahmad Houraniah , H. Fatih Ugurdag , C. Emre Dedeagac

Manufacturing-viable neuromorphic chips require novel computer architectures to achieve the massively parallel and efficient information processing the brain supports so effortlessly. Emerging event-based architectures are making this dream…

Hardware Architecture · Computer Science 2023-01-25 Lennart Bamberg , Arash Pourtaherian , Luc Waeijen , Anupam Chahar , Orlando Moreira

Today every circuit has to face the power consumption issue for both portable device aiming at large battery life and high end circuits avoiding cooling packages and reliability issues that are too complex. It is generally accepted that…

Hardware Architecture · Computer Science 2010-07-15 C. N. Marimuthu , P. Thangaraj , Aswathy Ramesan