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The superfamily phenomenon of time series with different dynamics can be characterized by the motif rank patterns observed in the nearest-neighbor networks of the time series in phase space. However, the determinants of superfamily…

Statistical Finance · Quantitative Finance 2010-11-22 Chuang Liu , Wei-Xing Zhou

Recent advancements in deep learning for medical image segmentation are often limited by the scarcity of high-quality training data.While diffusion models provide a potential solution by generating synthetic images, their effectiveness in…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Jianhao Xie , Ziang Zhang , Zhenyu Weng , Yuesheng Zhu , Guibo Luo

The graph Fourier transform (GFT) is a fundamental tool in graph signal processing and has recently been extended to the graph fractional Fourier transform (GFRFT). Existing sampling methods in the GFRFT domain are primarily designed to…

General Mathematics · Mathematics 2026-05-27 Yu Zhang , Jia-Yin Peng , Bing-Zhao Li

We propose the first comprehensive treatment of high-dimensional time series factor models with multiple change-points in their second-order structure. We operate under the most flexible definition of piecewise stationarity, and estimate…

Methodology · Statistics 2019-01-31 Matteo Barigozzi , Haeran Cho , Piotr Fryzlewicz

Many fault diagnosis methods of rotating machines are based on discriminative features extracted from signals collected from the key components such as bearings. However, under complex operating conditions, periodic impulsive…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Yuhan Yuan , Xiaomo Jiang , Haibin Yang , Haixin Zhao , Shengbo Wang , Xueyu Cheng , Jigang Meng , Shuhua Yang

Industrial equipment fault diagnosis often encounter challenges such as the scarcity of fault data, complex operating conditions, and varied types of failures. Signal analysis, data statistical learning, and conventional deep learning…

Artificial Intelligence · Computer Science 2024-05-31 Mengjie Gan , Penglong Lian , Zhiheng Su , Jiyang Zhang , Jialong Huang , Benhao Wang , Jianxiao Zou , Shicai Fan

Multidimensional separations data have the capacity to reveal detailed information about complex biological samples. However, data analysis has been an ongoing challenge in the area since the peaks that represent chemical factors may drift…

Numerical Analysis · Mathematics 2025-02-19 Michael Sorochan Armstrong

We develop the basic building blocks of a frequency domain framework for drawing statistical inferences on the second-order structure of a stationary sequence of functional data. The key element in such a context is the spectral density…

Statistics Theory · Mathematics 2013-05-10 Victor M. Panaretos , Shahin Tavakoli

Feature Transformation (FT) crafts new features from original ones via mathematical operations to enhance dataset expressiveness for downstream models. However, existing FT methods exhibit critical limitations: discrete search struggles…

Machine Learning · Computer Science 2025-05-22 Nanxu Gong , Zijun Li , Sixun Dong , Haoyue Bai , Wangyang Ying , Xinyuan Wang , Yanjie Fu

Multimodal evidence is critical in computational pathology: gigapixel whole slide images capture tumor morphology, while patient-level clinical descriptors preserve complementary context for prognosis. Integrating such heterogeneous signals…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Chengying She , Chengwei Chen , Xinran Zhang , Ben Wang , Lizhuang Liu , Chengwei Shao , Yun Bian

It is the purpose of the paper to describe the virtues of time-frequency methods for signal processing applications, having astronomical time series in mind. Different methods are considered and their potential usefulness respectively…

Astrophysics · Physics 2009-11-07 R. Vio , W. Wamsteker

In this paper, we propose a novel non-standard Local Fourier Analysis (LFA) variant for accurately predicting the multigrid convergence of problems with random and jumping coefficients. This LFA method is based on a specific basis of the…

Numerical Analysis · Mathematics 2019-02-26 Prashant Kumar , Carmen Rodrigo , Francisco J. Gaspar , Cornelis W. Oosterlee

Graph signal processing (GSP) facilitates the analysis of high-dimensional data on non-Euclidean domains by utilizing graph signals defined on graph vertices. In addition to static data, each vertex can provide continuous time-series…

Signal Processing · Electrical Eng. & Systems 2025-02-21 Tuna Alikaşifoğlu , Bünyamin Kartal , Eray Özgünay , Aykut Koç

Federated learning (FL) has broadened the horizon for multivariate time series anomaly detection (MTSAD). However, benchmarking such anomaly detection methods within FL paradigm poses data-centric challenges. The existing datasets do not…

Machine Learning · Computer Science 2026-05-28 Khayyam Nosrati , Martin Uray , Saverio Messineo , Olaf Sassnick , Stefan Huber

Computational virtual high-throughput screening (VHTS) with density functional theory (DFT) and machine-learning (ML)-acceleration is essential in rapid materials discovery. By necessity, efficient DFT-based workflows are carried out with a…

Materials Science · Physics 2021-06-25 Chenru Duan , Shuxin Chen , Michael G. Taylor , Fang Liu , Heather J. Kulik

This article introduces new methods for the analysis of cyclostationary time series with infinite variance. Traditional cyclostationary analysis, based on periodically correlated (PC) processes, relies on the autocovariance function (ACVF).…

Methodology · Statistics 2026-04-16 Wojciech Żuławiński , Agnieszka Wyłomańska

Multivariate Time Series Anomaly Detection (MTSAD) is critical for real-world monitoring scenarios such as industrial control and aerospace systems. Mainstream reconstruction-based anomaly detection methods suffer from two key limitations:…

Machine Learning · Computer Science 2026-04-13 Jun Liu , Ying Chen , Ziqian Lu , Qinyue Tong , Jun Tang

Time series forecasting is a long-standing problem in statistics and machine learning. One of the key challenges is processing sequences with long-range dependencies. To that end, a recent line of work applied the short-time Fourier…

Machine Learning · Computer Science 2025-02-28 Eyal Yakir , Dor Tsur , Haim Permuter

Due to the vulnerability of the Caribbean islands to the climate change issue, it is important to investigate the behavior of rainfall. In addition, the soil of the French West Indies Islands has been contaminated by an insecticide…

Atmospheric and Oceanic Physics · Physics 2023-11-28 J. Gomez-Gomez , T. Plocoste , E. Alexis , F. J. Jimenez-Hornero , E. Gutierrez de Rave , S. P. Nuiro

Recently, frequency transformation (FT) has been increasingly incorporated into deep learning models to significantly enhance state-of-the-art accuracy and efficiency in time series analysis. The advantages of FT, such as high efficiency…

Machine Learning · Computer Science 2025-06-16 Kun Yi , Qi Zhang , Wei Fan , Longbing Cao , Shoujin Wang , Guodong Long , Liang Hu , Hui He , Qingsong Wen , Hui Xiong