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The plane wave method is most widely used for solving the Kohn-Sham equations in first-principles materials science computations. In this procedure, the three-dimensional (3-dim) trial wave functions' fast Fourier transform (FFT) is a…

计算物理 · 物理学 2018-01-17 Xingyu Gao , Zeyao Mo , Jun Fang , Han Wang

A new transform over finite fields, the finite field Hartley transform (FFHT), was recently introduced and a number of promising applications on the design of efficient multiple access systems and multilevel spread spectrum sequences were…

数值分析 · 计算机科学 2015-02-06 H. M. de Oliveira , R. G. F. Távora , R. J. Cintra , R. M. Campello de Souza

Multi-dimensional discrete Fourier transforms (DFT) are typically decomposed into multiple 1D transforms. Hence, parallel implementations of any multi-dimensional DFT focus on parallelizing within or across the 1D DFT. Existing DFT packages…

数学软件 · 计算机科学 2019-12-24 Doru Thom Popovici , Martin D. Schatz , Franz Franchetti , Tze Meng Low

This paper describes a low-power processor tailored for fast Fourier transform computations where transport triggering template is exploited. The processor is software-programmable while retaining an energy-efficiency comparable to existing…

硬件体系结构 · 计算机科学 2019-05-22 Jakub Žádník , Jarmo Takala

In this work, we propose an algorithm for a filter based on the Fast Fourier Transform (FFT), which, due to its characteristics, allows for an efficient computational implementation, ease of use, and minimizes amplitude variation in the…

数值分析 · 数学 2024-07-19 Flavio Dalossa Freire , Isabel Gebauer Soares

Convolutional neural networks (CNNs) have a large number of variables and hence suffer from a complexity problem for their implementation. Different methods and techniques have developed to alleviate the problem of CNN's complexity, such as…

计算机视觉与模式识别 · 计算机科学 2020-04-07 Kamran Chitsaz , Mohsen Hajabdollahi , Nader Karimi , Shadrokh Samavi , Shahram Shirani

Discrete transforms such as the discrete Fourier transform (DFT) and the discrete Hartley transform (DHT) are important tools in numerical analysis. The successful application of transform techniques relies on the existence of efficient…

数值分析 · 计算机科学 2015-02-06 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

A novel addition to the family of integral transforms, the quadratic phase Fourier transform (QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT), fractional Fourier transform (FRFT), linear canonical…

泛函分析 · 数学 2024-02-20 Aamir Hamid Dar

Compiling a given quantum algorithm into a target hardware architecture is a challenging optimization problem. The compiler must take into consideration the coupling graph of physical qubits and the gate operation dependencies. The existing…

量子物理 · 物理学 2024-02-16 Xiangyu Gao , Yuwei Jin , Minghao Guo , Henry Chen , Eddy Z. Zhang

Feature transformation plays a critical role in enhancing machine learning model performance by optimizing data representations. Recent state-of-the-art approaches address this task as a continuous embedding optimization problem, converting…

机器学习 · 计算机科学 2025-08-29 Yang Gao , Dongjie Wang , Scott Piersall , Ye Zhang , Liqiang Wang

Robust fine-tuning aims to achieve competitive in-distribution (ID) performance while maintaining the out-of-distribution (OOD) robustness of a pre-trained model when transferring it to a downstream task. Recently, projected gradient…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Junjiao Tian , Yen-Cheng Liu , James Seale Smith , Zsolt Kira

Recent advances in soft GPGPU architectures have shown that a small (<10K LUT), high performance (770 MHz) processor is possible in modern FPGAs. In this paper we architect and evaluate soft SIMT processor banked memories, which can support…

硬件体系结构 · 计算机科学 2025-04-01 Martin Langhammer , George A. Constantinides

An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

光学 · 物理学 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

数据结构与算法 · 计算机科学 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

The Fast Tracker (FTK) is a proposed upgrade to the ATLAS trigger system that will operate at full Level-1 output rates and provide high quality tracks reconstructed over the entire detector by the start of processing in Level-2. FTK solves…

Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier…

信息论 · 计算机科学 2022-05-04 Ali Bemani , Nassar Ksairi , Marios Kountouris

This paper details the purpose, difficulties, theory, implementation, and results of developing a Fast Fourier Transform (FFT) using the prime factor algorithm on an embedded system. Many applications analyze the frequency content of…

硬件体系结构 · 计算机科学 2025-01-22 Josh Vernon , D. G. Perera

Matrix extensions have emerged as an essential feature in modern CPUs to address the surging demands of AI workloads. However, existing designs often incur substantial hardware and software design overhead. Tight coupling with the CPU…

Embedded system performances are bounded by power consumption. The trend is to offload greedy computations on hardware accelerators as GPU, Xeon Phi or FPGA. FPGA chips combine both flexibility of programmable chips and energy-efficiency of…

分布式、并行与集群计算 · 计算机科学 2018-01-16 Christophe Alias

Productivity issues such as lengthy compilation and limited code reuse have restricted usage of field-programmable gate arrays (FPGAs), despite significant technical advantages. Recent work into overlays -- virtual coarse-grained…

硬件体系结构 · 计算机科学 2017-05-09 David Wilson , Greg Stitt