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Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

数值分析 · 数学 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

This paper presents an approximate signed multiplier architecture that incorporates a sign-focused compressor, specifically designed for edge detection applications in machine learning and signal processing. The multiplier incorporates two…

硬件体系结构 · 计算机科学 2025-10-28 L. Hemanth Krishna , Srinivasu Bodapati , Sreehari Veeramachaneni , BhaskaraRao Jammu , Noor Mahammad Sk

Approximate computing is a promising approach to reduce the power, delay, and area in hardware design for many error-resilient applications such as machine learning (ML) and digital signal processing (DSP) systems, in which multipliers…

硬件体系结构 · 计算机科学 2023-10-31 Zhen Li , Hao Zhou , Lingli Wang

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…

硬件体系结构 · 计算机科学 2010-07-15 C. N. Marimuthu , P. Thangaraj , Aswathy Ramesan

The force field by Lenosky and coworkers is the latest force field for silicon which is one of the most studied materials. It has turned out to be highly accurate in a large range of test cases. The optimization and parallelization of this…

凝聚态物理 · 物理学 2015-06-24 Stefan Goedecker

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…

硬件体系结构 · 计算机科学 2022-11-17 Yao Lu , Jide Zhang , Su Zheng , Zhen Li , Lingli Wang

Field Programmable Gate Arrays(FPGA) exceed the computing power of software based implementations by breaking the paradigm of sequential execution and accomplishing more per clock cycle by enabling hardware level parallelization at an…

机器人学 · 计算机科学 2016-07-20 Gurshaant Malik , Krishna Gupta , Raunak Dharani , K Madhava Krishna

We consider a multi-block separable convex optimization problem with the linear constraints, where the objective function is the sum of m individual convex functions without overlapping variables. The linearized version of the generalized…

最优化与控制 · 数学 2022-04-19 He Jian , Zhang Bangzhong , Li Jinlin

In the field of High Performance Computing, communications among processes represent a typical bottleneck for massively parallel scientific applications. Object of this research is the development of a network interface card with specific…

分布式、并行与集群计算 · 计算机科学 2022-09-07 Roberto Ammendola

On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and…

The augmentation scheme provides a nontraditional approach to nonlinear integer programming by iteratively refining incumbent solutions along objective-improving directions from the Graver basis. Its main computational bottleneck, however,…

最优化与控制 · 数学 2026-03-09 Wenbo Liu , Akang Wang , Wenguo Yang

We present a batched first-order method for solving multiple linear programs in parallel on GPUs. Our approach extends the primal-dual hybrid gradient algorithm to efficiently solve batches of related linear programming problems that arise…

最优化与控制 · 数学 2026-01-30 Nicolas Blin , Stefano Gualandi , Christopher Maes , Andrea Lodi , Bartolomeo Stellato

The solution of large sparse linear systems is often the most time-consuming part of many science and engineering applications. Computational fluid dynamics, circuit simulation, power network analysis, and material science are just a few…

数值分析 · 计算机科学 2011-09-20 Murat Manguoglu

Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially…

硬件体系结构 · 计算机科学 2023-06-30 Ying Wu , Chuangtao Chen , Weihua Xiao , Xuan Wang , Chenyi Wen , Jie Han , Xunzhao Yin , Weikang Qian , Cheng Zhuo

In this work we present a new structure for multiplication in finite fields. This structure is based on a digit-level LFSR (Linear Feedback Shift Register) multiplier in which the area of digit-multipliers are reduced using the Karatsuba…

密码学与安全 · 计算机科学 2007-08-23 Jamshid Shokrollahi , Elisa Gorla , Christoph Puttmann

Multiplication over binary fields is a crucial operation in quantum algorithms designed to solve the discrete logarithm problem for elliptic curve defined over $GF(2^n)$. In this paper, we present an algorithm for constructing quantum…

量子物理 · 物理学 2025-01-28 Vivien Vandaele

Accurate simulations of various physical processes on digital computers requires huge computing performance, therefore accelerating these scientific and engineering applications has a great importance. Density of programmable logic devices…

性能 · 计算机科学 2014-08-26 Zoltan Nagy , Csaba Nemes , Antal Hiba , Arpad Csik , Andras Kiss , Miklos Ruszinko , Peter Szolgay

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

数值分析 · 计算机科学 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

Genetic Algorithms (GAs) are used to solve search and optimization problems in which an optimal solution can be found using an iterative process with probabilistic and non-deterministic transitions. However, depending on the problem's…

分布式、并行与集群计算 · 计算机科学 2019-01-23 Matheus F. Torquato , Marcelo A. C. Fernandes

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…

量子物理 · 物理学 2009-07-21 Anindita Banerjee , Anirban Pathak