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Massively parallel Fourier transforms are widely used in computational sciences, and specifically in computational fluid dynamics which involves unbounded Poisson problems. In practice the latter is usually the most time-consuming operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-22 Pierre Balty , Philippe Chatelain , Thomas Gillis

Fast Fourier Transforms (FFTs) are exploited in a wide variety of fields ranging from computer science to natural sciences and engineering. With the rising data production bandwidths of modern FFT applications, judging best which…

Performance · Computer Science 2017-07-12 Peter Steinbach , Matthias Werner

Detrended fluctuation analysis (DFA) is a simple but very efficient method for investigating the power-law long-term correlations of non-stationary time series, in which a detrending step is necessary to obtain the local fluctuations at…

Statistical Mechanics · Physics 2011-09-09 Xi-Yuan Qian , Wei-Xing Zhou , Gao-Feng Gu

As a fundamental data mining task, unsupervised time series anomaly detection (TSAD) aims to build a model for identifying abnormal timestamps without assuming the availability of annotations. A key challenge in unsupervised TSAD is that…

Machine Learning · Computer Science 2026-02-10 Dezheng Wang , Tong Chen , Guansong Pang , Congyan Chen , Shihua Li , Hongzhi Yin

Detecting fast-moving objects, such as unmanned aerial vehicle (UAV), from event camera data is challenging due to the sparse, asynchronous nature of the input. Traditional Discrete Fourier Transforms (DFT) are effective at identifying…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Michael Bezick , Majid Sahin

The service conditions of wheelset bearings has a direct impact on the safe operation of railway heavy haul freight trains as the key components. However, speed fluctuation of the trains and few fault samples are the two main problems that…

Machine Learning · Computer Science 2025-05-27 Chao He , Hongmei Shi , Ruixin Li , Jianbo Li , ZuJun Yu

The analysis of multivariate time series data is challenging due to the various frequencies of signal changes that can occur over both short and long terms. Furthermore, standard deep learning models are often unsuitable for such datasets,…

Machine Learning · Computer Science 2023-06-21 Iman Deznabi , Madalina Fiterau

Accurate predictions of material properties within the chemical space of transition metal fluorides (TMFs), using density functional theory (DFT) is important for advancing several technological applications. The state-of-the-art semi-local…

Materials Science · Physics 2024-12-17 Dereje Bekele Tekliye , Gopalakrishnan Sai Gautam

The Python package fluidfft provides a common Python API for performing Fast Fourier Transforms (FFT) in sequential, in parallel and on GPU with different FFT libraries (FFTW, P3DFFT, PFFT, cuFFT). fluidfft is a comprehensive FFT framework…

Mathematical Software · Computer Science 2019-04-11 Ashwin Vishnu Mohanan , Cyrille Bonamy , Pierre Augier

Many experiments, and in particular gravitational wave detectors, produce continuous streams of data whose frequency representations contain discrete, relatively narrowband coherent features at high amplitude. We discuss the application of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. J. Daw , M. R. Hewitson

Metal-organic frameworks (MOFs) are a major target of machine-learning-based property prediction, yet most models assume that a single framework representation maps to a single property value. This assumption becomes problematic for…

Materials Science · Physics 2026-04-22 Seunghee Han , Jaewoong Lee , Jihan Kim

The Fourier Transform (FT) is a fundamental tool that permeates modern science and technology. While chemistry undergraduates encounter the FT as early as second year, their courses often only mention it in passing because computers…

Dynamic link prediction plays a crucial role in diverse applications including social network analysis, communication forecasting, and financial modeling. While recent Transformer-based approaches have demonstrated promising results in…

Machine Learning · Computer Science 2026-03-05 Hantong Feng , Yonggang Wu , Duxin Chen , Wenwu Yu

We report on a Python-toolbox for unbiased statistical analysis of fluorescence intermittency properties of single emitters. Intermittency, i.e., step-wise temporal variations in the instantaneous emission intensity and fluorescence decay…

Computational Physics · Physics 2021-05-06 Isabelle M. Palstra , A. Femius Koenderink

The detection of signals with varying frequency is important in many areas of physics and astrophysics. The current work was motivated by a desire to detect gravitational waves from the binary inspiral of neutron stars and black holes, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. A. Jenet , T. A. Prince

Detecting and analyzing complex patterns in multivariate time-series data is crucial for decision-making in urban and environmental system operations. However, challenges arise from the high dimensionality, intricate complexity, and…

Machine Learning · Computer Science 2024-12-25 Haowen Xu , Ali Boyaci , Jianming Lian , Aaron Wilson

Deformable image registration (DIR) is a crucial and challenging technique for aligning anatomical structures in medical images and is widely applied in diverse clinical applications. However, existing approaches often struggle to capture…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Shayan Kebriti , Shahabedin Nabavi , Ali Gooya

Discrete Fourier Transform (DFT) libraries are one of the most critical software components for scientific computing. Inspired by FFTW, a widely used library for DFT HPC calculations, we apply compiler technologies for the development of…

Mathematical Software · Computer Science 2022-07-27 Yifei He , Artur Podobas , Måns I. Andersson , Stefano Markidis

To address limitations of the graph fractional Fourier transform (GFRFT) Wiener filtering and the traditional joint time-vertex fractional Fourier transform (JFRFT) Wiener filtering, this study proposes a filtering method based on the…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Ziqi Yan , Zhichao Zhang

In this paper, we have carried out the detail studies of pre-cancer by wavelet coherency and multifractal based detrended fluctuation analysis (MFDFA) on differential interference contrast (DIC) images of stromal region among different…

Computer Vision and Pattern Recognition · Computer Science 2015-03-24 Sabyasachi Mukhopadhyay , Nandan K. Das , Soham Mandal , Sawon Pratiher , Asish Mitra , Asima Pradhan , Nirmalya Ghosh , Prasanta K. Panigrahi
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