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A long-standing issue in the parallel-in-time community is the poor convergence of standard iterative parallel-in-time methods for hyperbolic partial differential equations (PDEs), and for advection-dominated PDEs more broadly. Here, a…

Numerical Analysis · Mathematics 2024-11-19 H. De Sterck , S. Friedhoff , O. A. Krzysik , Scott P. MacLachlan

This study presents a physically informed hybrid time-frequency and machine learning (STFT-ML) framework for arc stability monitoring in electric arc welding systems. The primary current signal is modeled as a stochastic representation of…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Tahir Cetin Akinci , Gokhan Gokmen , Alfredo A. Martinez-Morales

Multimodal Image Fusion (MMIF) aims to integrate complementary information from different imaging modalities to overcome the limitations of individual sensors. It enhances image quality and facilitates downstream applications such as remote…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Mengyu Wang , Zhenyu Liu , Kun Li , Yu Wang , Yuwei Wang , Yanyan Wei , Fei Wang

Rolling bearings are critical components in rotating machinery, and their faults can cause severe damage. Early detection of abnormalities is crucial to prevent catastrophic accidents. Traditional and intelligent methods have been used to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Weiyang Jin

Real life signals are in general non--stationary and non--linear. The development of methods able to extract their hidden features in a fast and reliable way is of high importance in many research fields. In this work we tackle the problem…

Numerical Analysis · Mathematics 2018-10-26 Antonio Cicone , Haomin Zhou

Separating multiple effects in time series is fundamental yet challenging for time-series forecasting (TSF). However, existing TSF models cannot effectively learn interpretable multi-effect decomposition by their smoothing-based temporal…

Machine Learning · Computer Science 2026-03-20 Runze Yang , Longbing Cao , Xiaoming Wu , Xin You , Kun Fang , Jianxun Li , Jie Yang

I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation…

General Mathematics · Mathematics 2019-10-01 Evan Zayas

The Fast Folding Algorithm (FFA) is a phase-coherent search technique for periodic signals. It has rarely been used in radio pulsar searches, having been historically supplanted by the less computationally expensive Fast Fourier Transform…

Instrumentation and Methods for Astrophysics · Physics 2020-08-12 V. Morello , E. D. Barr , B. W. Stappers , E. F. Keane , A. G. Lyne

The refractive index fluctuations in the connective tissue layer (stroma) of human cervical tissues having different grades of precancers (dysplasia) was quantified using a wavelet-based multifractal detrended fluctuation analysis model.…

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

Sound · Computer Science 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

We propose PhaseForensics, a DeepFake (DF) video detection method that leverages a phase-based motion representation of facial temporal dynamics. Existing methods relying on temporal inconsistencies for DF detection present many advantages…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Ekta Prashnani , Michael Goebel , B. S. Manjunath

An efficient method of exploring the effects of anisotropy in the fractal properties of 2D surfaces and images is proposed. It can be viewed as a direction-sensitive generalization of the multifractal detrended fluctuation analysis (MFDFA)…

Applied Physics · Physics 2024-10-14 Rafał Rak , Stanisław Drożdż , Jarosław Kwapień , Paweł Oświęcimka

Time series processing and feature extraction are crucial and time-intensive steps in conventional machine learning pipelines. Existing packages are limited in their applicability, as they cannot cope with irregularly-sampled or…

Machine Learning · Computer Science 2021-12-23 Jonas Van Der Donckt , Jeroen Van Der Donckt , Emiel Deprost , Sofie Van Hoecke

Existing deepfake detectors face several challenges in achieving robustness and generalization. One of the primary reasons is their limited ability to extract relevant information from forgery videos, especially in the presence of various…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Zhiyuan Yan , Peng Sun , Yubo Lang , Shuo Du , Shanzhuo Zhang , Wei Wang , Lei Liu

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

While standard computational protocols for density functional theory (DFT) have universal applicability, differences exist in code implementations. Specific applications require manual parameter optimization, whereas high-throughput…

Materials Science · Physics 2025-08-12 Chenxi Lu , Musen Li , Jeffrey R. Reimers

Considering the challenges posed by the space and time complexities in handling extensive scientific volumetric data, various data representations have been developed for the analysis of large-scale scientific data. Multivariate functional…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-27 Jianxin Sun , David Lenz , Hongfeng Yu , Tom Peterka

Multi-exit network is a promising architecture for efficient model inference by sharing backbone networks and weights among multiple exits. However, the gradient conflict of the shared weights results in sub-optimal accuracy. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Cheng Gong , Yao Chen , Qiuyang Luo , Ye Lu , Tao Li , Yuzhi Zhang , Yufei Sun , Le Zhang

Time-dependent density functional theory (TDDFT) is a widely used method to investigate electron dynamics under external time-dependent perturbations such as laser fields. In this work, we present a machine learning approach to accelerate…

Materials Science · Physics 2025-12-02 Karan Shah , Attila Cangi

We study temporal correlations and multifractal properties of long river discharge records from 41 hydrological stations around the globe. To detect long-term correlations and multifractal behaviour in the presence of trends, we apply…

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