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General-purpose multiprocessors (as, in our case, Intel IvyBridge and Intel Haswell) increasingly add GPU computing power to the former multicore architectures. When used for embedded applications (for us, Synthetic aperture radar) with…

数学软件 · 计算机科学 2015-06-01 Mohamed Amine Bergach , Emilien Kofman , Robert de Simone , Serge Tissot , Michel Syska

Given the current trend of increasing size and complexity of machine learning architectures, it has become of critical importance to identify new approaches to improve the computational efficiency of model training. In this context, we…

机器学习 · 计算机科学 2022-06-08 Badreddine Noune , Philip Jones , Daniel Justus , Dominic Masters , Carlo Luschi

Floating point arithmetic allows us to use a finite machine, the digital computer, to reach conclusions about models based on continuous mathematics. In this article we work in the other direction, that is, we present examples in which…

数值分析 · 数学 2017-10-05 Walter F. Mascarenhas

Hydrodynamics calculations have been successfully used in studies of the bulk properties of the Quark-Gluon Plasma, particularly of elliptic flow and shear viscosity. However, there are areas (for instance event-by-event simulations for…

The conservative Post-Newtonian (PN) Hamiltonian formulation of spinning compact binaries has six integrals of motion including the total energy, the total angular momentum and the constant unit lengths of spins. The manifold correction…

天体物理仪器与方法 · 物理学 2018-03-21 Chong-xi Ran , Song Liu , Shuang-ying Zhong

Current soft processor architectures for FPGAs do not utilize the potential of the massive parallelism available. FPGAs now support many thousands of embedded floating point operators, and have similar computational densities to GPGPUs.…

硬件体系结构 · 计算机科学 2024-01-10 Martin Langhammer , George A. Constantinides

Much recent research is devoted to exploring tradeoffs between computational accuracy and energy efficiency at different levels of the system stack. Approximation at the floating point unit (FPU) allows saving energy by simply reducing the…

分布式、并行与集群计算 · 计算机科学 2021-02-18 Saeid Barati , Lee Ehudin , Hank Hoffmann

We present an evaluation of 32-bit POSIT arithmetic through its implementation as accelerators on FPGAs and GPUs. POSIT, a floating-point number format, adaptively changes the size of its fractional part. We developed hardware designs for…

分布式、并行与集群计算 · 计算机科学 2024-01-26 Naohito Nakasato , Yuki Murakami , Fumiya Kono , Maho Nakata

Bloom filters are a fundamental data structure for approximate membership queries, with applications ranging from data analytics to databases and genomics. Several variants have been proposed to accommodate parallel architectures. GPUs,…

分布式、并行与集群计算 · 计算机科学 2025-12-18 Daniel Jünger , Kevin Kristensen , Yunsong Wang , Xiangyao Yu , Bertil Schmidt

We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equations arise in many different areas and are especially important within the field of optimal control. In order to approximate their…

数值分析 · 数学 2018-10-23 Hermann Mena , Lena-Maria Pfurtscheller , Tony Stillfjord

Our goal is to find accurate and efficient algorithms, when they exist, for evaluating rational expressions containing floating point numbers, and for computing matrix factorizations (like LU and the SVD) of matrices with rational…

数值分析 · 数学 2025-10-20 James Demmel

Floating-point programs form the foundation of modern science and engineering, providing the essential computational framework for a wide range of applications, such as safety-critical systems, aerospace engineering, and financial analysis.…

软件工程 · 计算机科学 2025-07-14 Youshuai Tan , Zhanwei Zhang , Jinfu Chen , Zishuo Ding , Jifeng Xuan , Weiyi Shang

Gaussian processes (GPs) are flexible non-parametric models, with a capacity that grows with the available data. However, computational constraints with standard inference procedures have limited exact GPs to problems with fewer than about…

Modern Graphics Processing Units (GPUs) are now considered accelerators for general purpose computation. A tight interaction between the GPU and the interconnection network is the strategy to express the full potential on capability…

The proliferation of low-precision units in modern high-performance architectures increasingly burdens domain scientists. Historically, the choice in HPC was easy: can we get away with 32 bit floating-point operations and lower bandwidth…

分布式、并行与集群计算 · 计算机科学 2025-09-23 Faveo Hoerold , Ivan R. Ivanov , Akash Dhruv , William S. Moses , Anshu Dubey , Mohamed Wahib , Jens Domke

A new flow solver scalable on multiple Graphics Processing Units (GPUs) for direct numerical simulation of wall-bounded incompressible flow is presented. This solver utilizes a previously reported work (J. Comp. Physics, vol. 352 (2018),…

计算物理 · 物理学 2018-12-05 Sanghyun Ha , Junshin Park , Donghyun You

[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

天体物理学 · 物理学 2008-12-17 Eric B. Ford

Spectral analysis plays an important role in detection of damage in structures and deep learning. The choice of a floating-point format plays a crucial role in determining the accuracy and performance of spectral analysis. The IEEE Std…

硬件体系结构 · 计算机科学 2024-06-11 Sameer Deshmukh , Daniel Khankin , William Killian , John Gustafson , Elad Raz

Commodity video-gaming hardware (consoles, graphics cards, tablets, etc.) performance has been advancing at a rapid pace owing to strong consumer demand and stiff market competition. Gaming hardware devices are currently amongst the most…

计算物理 · 物理学 2016-09-14 Glenn Volkema , Gaurav Khanna

Division algorithms have been developed to reduce latency and to improve the efficiency of the processors. Floating point division is considered as a high latency operation. This papers looks into one such division algorithm, examines the…

硬件体系结构 · 计算机科学 2019-09-24 Taposh Dutta Roy
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