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Static lookup tables as often used in the position calculation electronics in position sensitive detectors suffer from the well known problem that the propagation of digitization errors in the division leads to unequal efficiencies for the…

Instrumentation and Detectors · Physics 2009-11-13 Patrick Van Esch , Frederic Millier

In dual decomposition, the dual to an optimization problem with a specific structure is solved in distributed fashion using (sub)gradient and recently also fast gradient methods. The traditional dual decomposition suffers from two main…

Optimization and Control · Mathematics 2014-04-08 Pontus Giselsson

The logarithmic number system (LNS) is arguably not broadly used due to exponential circuit overheads for summation tables relative to arithmetic precision. Methods to reduce this overhead have been proposed, yet still yield designs with…

Numerical Analysis · Mathematics 2020-05-15 Jeff Johnson

Vector multiplication is a fundamental operation for AI acceleration, responsible for over 85% of computational load in convolution tasks. While essential, these operations are primary drivers of area, power, and delay in modern datapath…

Hardware Architecture · Computer Science 2026-02-24 Md Rownak Hossain Chowdhury , Mostafizur Rahman

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

Hardware Architecture · Computer Science 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

In this work faster unsigned multiplication has been achieved by using a combination of High Performance Multiplication [HPM] column reduction technique and implementing a N-bit multiplier using 4 N/2-bit multipliers (recursive…

Hardware Architecture · Computer Science 2011-10-20 V. Sreedeep , B. Ramkumar , Harish M Kittur

Montgomery modular multiplication is widely-used in public key cryptosystems (PKC) and affects the efficiency of upper systems directly. However, modulus is getting larger due to the increasing demand of security, which results in a heavy…

Cryptography and Security · Computer Science 2026-03-17 Yuxuan Zhang , Hua Guo , Chen Chen , Yewei Guan , Xiyong Zhang , Zhenyu Guan

The recent advances in machine learning, in general, and Artificial Neural Networks (ANN), in particular, has made smart embedded systems an attractive option for a larger number of application areas. However, the high computational…

Hardware Architecture · Computer Science 2023-09-06 Suresh Nambi , Salim Ullah , Aditya Lohana , Siva Satyendra Sahoo , Farhad Merchant , Akash Kumar

This paper introduces a checksum algorithm that provides a new point in the performance/complexity/effectiveness checksum tradeoff space. It has better fault detection properties than single-sum and dual-sum modular addition checksums. It…

Data Structures and Algorithms · Computer Science 2024-04-01 Philip Koopman

We consider space-saving versions of several important operations on univariate polynomials, namely power series inversion and division, division with remainder, multi-point evaluation, and interpolation. Now-classical results show that…

Symbolic Computation · Computer Science 2020-09-01 Pascal Giorgi , Bruno Grenet , Daniel S. Roche

The rapid adoption of low-precision arithmetic in artificial intelligence and edge computing has created a strong demand for energy-efficient and flexible floating-point multiply-accumulate (MAC) units. This paper presents a dual-precision…

Hardware Architecture · Computer Science 2026-04-10 Shubham Kumar , Vijay Pratap Sharma , Vaibhav Neema , Santosh Kumar Vishvakarma

Processing-in-memory (PIM) has emerged as the go to solution for addressing the von Neumann bottleneck in edge AI accelerators. However, state-of-the-art (SoTA) digital PIM approaches suffer from low compute density, primarily due to the…

Hardware Architecture · Computer Science 2025-10-23 Mukul Lokhande , Narendra Singh Dhakad , Seema Chouhan , Akash Sankhe , Santosh Kumar Vishvakarma

Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and science. The computations rely on the floating-point arithmetic specified by the IEEE754 Standard. In this context, an elementary brick of…

Computation and Language · Computer Science 2022-05-12 Farah Benmouhoub , Pierre-Loïc Garoche , Matthieu Martel

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama

In this work, we provide energy-efficient architectural support for floating point accuracy. Our goal is to provide accuracy that is far greater than that provided by the processor's hardware floating point unit (FPU). Specifically, for…

Hardware Architecture · Computer Science 2013-09-30 Ralph Nathan , Bryan Anthonio , Shih-Lien Lu , Helia Naeimi , Daniel J. Sorin , Xiaobai Sun

For critical applications that require a higher level of reliability, the Triple Modular Redundancy (TMR) scheme is usually employed to implement fault-tolerant arithmetic units. However, this method imposes a significant area and…

Hardware Architecture · Computer Science 2024-10-29 Jafar Vafaei , Omid Akbari

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

This paper introduces a new method of partitioning the solution space of a multi-objective optimisation problem for parallel processing, called Efficient Projection Partitioning. This method projects solutions down into a single dimension,…

Optimization and Control · Mathematics 2017-11-23 William Pettersson , Melih Ozlen

Many algorithms feature an iterative loop that converges to the result of interest. The numerical operations in such algorithms are generally implemented using finite-precision arithmetic, either fixed- or floating-point, most of which…

Hardware Architecture · Computer Science 2019-10-02 He Li , James J. Davis , John Wickerson , George A. Constantinides

Recent evaluations have highlighted the tapered posit number format as a promising alternative to the uniform precision IEEE 754 floating-point numbers, which suffer from various deficiencies. Although the posit encoding scheme offers…

Numerical Analysis · Mathematics 2025-11-27 Laslo Hunhold