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The typical processors used for scientific computing have fixed-width data-paths. This implies that mathematical libraries were specifically developed to target each of these fixed precisions (binary16, binary32, binary64). However, to…

数学软件 · 计算机科学 2020-05-07 David Defour , Pablo de Oliveira Castro , Matei Istoan , Eric Petit

Two multiplierless algorithms are proposed for 4x4 approximate-DCT for transform coding in digital video. Computational architectures for 1-D/2-D realisations are implemented using Xilinx FPGA devices. CMOS synthesis at the 45 nm node…

硬件体系结构 · 计算机科学 2014-05-05 F. M. Bayer , R. J. Cintra , A. Madanayake , U. S. Potluri

High-dimensional motion generation requires numerical precision for smooth, collision-free solutions. Typically, double-precision or single-precision floating-point (FP) formats are utilized. Using these for big tensors imposes a strain on…

Modern deep neural network (DNN) models generally require a huge amount of weight and activation values to achieve good inference outcomes. Those data inevitably demand a massive off-chip memory capacity/bandwidth, and the situation gets…

机器学习 · 计算机科学 2021-04-27 Cheng-Wei Huang , Tim-Wei Chen , Juinn-Dar Huang

High Performance Computing (HPC) platforms allow scientists to model computationally intensive algorithms. HPC clusters increasingly use General-Purpose Graphics Processing Units (GPGPUs) as accelerators; FPGAs provide an attractive…

硬件体系结构 · 计算机科学 2015-04-20 Syed Waqar Nabi , Saji N. Hameed , Wim Vanderbauwhede

The widespread adoption of machine learning algorithms necessitates hardware acceleration to ensure efficient performance. This acceleration relies on custom matrix engines that operate on full or reduced-precision floating-point…

硬件体系结构 · 计算机科学 2024-08-23 Kosmas Alexandridis , Christodoulos Peltekis , Dionysios Filippas , Giorgos Dimitrakopoulos

Convolutional Neural Networks (CNNs) have been utilised in many image and video processing applications. The convolution operator, also known as a spatial filter, is usually a linear operation, but this linearity compromises essential…

硬件体系结构 · 计算机科学 2024-09-10 Nelson Campos , Eran Edirisinghe , Salva Chesnokov , Daniel Larkin

Convolutional Neural Networks (CNNs) are widely used in deep learning applications, e.g. visual systems, robotics etc. However, existing software solutions are not efficient. Therefore, many hardware accelerators have been proposed…

机器学习 · 计算机科学 2021-09-08 Sasindu Wijeratne , Sandaruwan Jayaweera , Mahesh Dananjaya , Ajith Pasqual

We describe an efficient FPGA implementation for the exponentiation of large matrices. The research is related to an algorithm for constructing uniformly distributed linear recurring sequences. The design utilizes the special properties of…

数据结构与算法 · 计算机科学 2015-03-19 T. Herendi , R. Major

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

机器学习 · 计算机科学 2023-09-25 Basile Lewandowski , Atli Kosson

In this work, we propose an architecture and methodology to design hardware/software systems for high-performance embedded computing on FPGA. The hardware side is based on a many-core architecture whose design is generated automatically…

硬件体系结构 · 计算机科学 2015-08-28 Mário P. Véstias , Rui Policarpo Duarte , Horácio C. Neto

Transformer-based large language models (LLMs) rely heavily on intensive matrix multiplications for attention and feed-forward layers, with the Q, K, and V linear projections in the Multi-Head Self-Attention (MHA) module constituting a…

硬件体系结构 · 计算机科学 2025-05-22 Richie Li , Sicheng Chen

Convolutional Neural Networks (CNNs) reach high accuracies in various application domains, but require large amounts of computation and incur costly data movements. One method to decrease these costs while trading accuracy is weight and/or…

硬件体系结构 · 计算机科学 2022-08-10 Cecilia Latotzke , Tim Ciesielski , Tobias Gemmeke

In this paper we describe a single-node, double precision Field Programmable Gate Array (FPGA) implementation of the Conjugate Gradient algorithm in the context of Lattice Quantum Chromodynamics. As a benchmark of our proposal we invert…

分布式、并行与集群计算 · 计算机科学 2019-12-05 Grzegorz Korcyl , Piotr Korcyl

Scientific computing applications, such as computational fluid dynamics and climate modeling, typically rely on 64-bit double-precision floating-point operations, which are extremely costly in terms of computation, memory, and energy. While…

硬件体系结构 · 计算机科学 2024-09-24 Cong "Callie" Hao

HUB format is an emerging technique to improve the hardware and time requirement when round to nearest is needed. On the other hand, RISC-V is an open-source ISA that many companies currently use in their designs. This paper presents a…

硬件体系结构 · 计算机科学 2024-01-19 Gerardo Bandera , Javier Salamero , Miquel Moreto , Julio Villalba

Multiple Constant Multiplication (MCM) over integers is a frequent operation arising in embedded systems that require highly optimized hardware. An efficient way is to replace costly generic multiplication by bit-shifts and additions, i.e.…

硬件体系结构 · 计算机科学 2022-10-11 Rémi Garcia , Anastasia Volkova

Analog mixed-signal (AMS) devices promise faster, more energy-efficient deep neural network (DNN) inference than their digital counterparts. However, recent studies show that DNNs on AMS devices with fixed-point numbers can incur an…

Although reliable long precision floating-point arithmetic libraries such as QD and MPFR/GMP are necessary to solve ill-conditioned problems in numerical simulation, long precision BLAS-level computation such as matrix multiplication has…

数学软件 · 计算机科学 2017-10-06 Tomonori Kouya

This paper will describe a simulator developed by the authors to explore the design of Fourier transform based multiplication using optics. Then it will demonstrate an application to the problem of constructing an all-optical modular…

图像与视频处理 · 电气工程与系统科学 2018-10-22 Abigail Timmel , John Daly