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In this paper, we propose an architecture/methodology for making FPGAs suitable for integer as well as variable precision floating point multiplication. The proposed work will of great importance in applications which requires variable…

Hardware Architecture · Computer Science 2007-11-19 Himanshu Thapliyal , Hamid R. Arabnia , Rajnish Bajpai , Kamal K. Sharma

The least square solution of minimum norm of a rectangular linear system of equations can be found out iteratively by using matrix splittings. However, the convergence of such an iteration scheme arising out of a matrix splitting is…

Numerical Analysis · Mathematics 2025-08-07 Chinmay Kumar Giri , Debasisha Mishra

The Digital Image processing applications like medical imaging, satellite imaging, Biometric trait images etc., rely on multipliers to improve the quality of image. However, existing multiplication techniques introduce errors in the output…

Hardware Architecture · Computer Science 2014-07-09 Satish S Bhairannawar , Rathan R , Raja K B , Venugopal K R , L M Patnaik

This work presents a method to maximize power-efficiency of fixed point multiplier units by decomposing them into sub-components. First, an encoder block converts the operands from a two's complement to a sign magnitude representation,…

Neural and Evolutionary Computing · Computer Science 2025-07-25 Felix Arnold , Maxence Bouvier , Ryan Amaudruz , Renzo Andri , Lukas Cavigelli

The goal of inductive logic programming (ILP) is to search for a logic program that generalises training examples and background knowledge. We introduce an ILP approach that identifies minimal unsatisfiable subprograms (MUSPs). We show that…

Machine Learning · Computer Science 2024-01-30 Andrew Cropper , Céline Hocquette

A multiplier, as a key component in many different applications, is a time-consuming, energy-intensive computation block. Approximate computing is a practical design paradigm that attempts to improve hardware efficacy while keeping…

Hardware Architecture · Computer Science 2023-08-16 Fereshteh Karimi , Reza Faghih Mirzaee , Ali Fakeri-Tabrizi , Arman Roohi

This paper proposes a partially inexact alternating direction method of multipliers for computing approximate solution of a linearly constrained convex optimization problem. This method allows its first subproblem to be solved inexactly…

Optimization and Control · Mathematics 2018-05-21 Vando A. Adona , Max L. N. Goncalves , Jefferson G. Melo

Directed multiplication transducers are a tool for performing non-decimal base multiplication without an additional conversion to base 10. This allows for faster computation and provides easier visualization depending on the problem at…

Formal Languages and Automata Theory · Computer Science 2023-06-28 Aditya Mittal , Karthik Mittal

Reducing communication - either between levels of a memory hierarchy or between processors over a network - is a key component of performance optimization (in both time and energy) for many problems, including dense linear algebra, particle…

Data Structures and Algorithms · Computer Science 2020-03-03 Grace Dinh , James Demmel

Matrix multiplication is the bedrock in Deep Learning inference application. When it comes to hardware acceleration on edge computing devices, matrix multiplication often takes up a great majority of the time. To achieve better performance…

Machine Learning · Computer Science 2021-10-12 Yuyang Zhang , Dik Hin Leung , Min Guo , Yijia Xiao , Haoyue Liu , Yunfei Li , Jiyuan Zhang , Guan Wang , Zhen Chen

An algebra-logical repair method for FPGA functional logic blocks on the basis of solving the coverage problem is proposed. It is focused on implementation into Infrastructure IP for system-on-a chip and system-in-package. A method is…

Hardware Architecture · Computer Science 2011-05-11 Vladimir Hahanov , Eugenia Litvinova , Wajeb Gharibi , Olesya Guz

We propose a class of multipliers correction methods to minimize a differentiable function over the Stiefel manifold. The proposed methods combine a function value reduction step with a proximal correction step. The former one searches…

Optimization and Control · Mathematics 2021-09-30 Lei Wang , Bin Gao , Xin Liu

Multiplication is a basic arithmetic operation that is encountered in almost all general-purpose microprocessing and digital signal processing applications, and multiplication is physically realized using a multiplier. This paper discusses…

Hardware Architecture · Computer Science 2019-05-28 P Balasubramanian , D L Maskell , N E Mastorakis

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

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

Multi-core machines are ubiquitous. However, most inductive logic programming (ILP) approaches use only a single core, which severely limits their scalability. To address this limitation, we introduce parallel techniques based on…

Artificial Intelligence · Computer Science 2021-09-16 Andrew Cropper , Oghenejokpeme Orhobor , Cristian Dinu , Rolf Morel

While there is a large body of research on efficient processing of deep neural networks (DNNs), ultra-low-latency realization of these models for applications with stringent, sub-microsecond latency requirements continues to be an…

Machine Learning · Computer Science 2021-04-13 Mahdi Nazemi , Arash Fayyazi , Amirhossein Esmaili , Atharva Khare , Soheil Nazar Shahsavani , Massoud Pedram

We present the analysis of various FPGA design implementations of a Montgomery Modular Multiplier, compatible with the BLS12-381 elliptic curve, using the Coarsely Integrated Operand Scanning approach of working with complete partial…

Hardware Architecture · Computer Science 2025-09-11 Rares Ifrim , Decebal Popescu

Neuromorphic computing describes the use of VLSI systems to mimic neuro-biological architectures and is also looked at as a promising alternative to the traditional von Neumann architecture. Any new computing architecture would need a…

Emerging Technologies · Computer Science 2020-09-01 Karn Dubey , Urja Kothari , Shrisha Rao

Matrix multiplication is a fundamental operation in both training of neural networks and inference. To accelerate matrix multiplication, Graphical Processing Units (GPUs) provide it implemented in hardware. Due to the increased throughput…

Mathematical Software · Computer Science 2026-04-07 Faizan A. Khattak , Mantas Mikaitis