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Nonstationary time series forecasting suffers from the distribution shift issue due to the different distributions that produce the training and test data. Existing methods attempt to alleviate the dependence by, e.g., removing low-order…

Machine Learning · Computer Science 2026-02-20 Xihao Piao , Zheng Chen , Lingwei Zhu , Yushun Dong , Yasuko Matsubara , Yasushi Sakurai

Time-frequency (TF) representations of time series are intrinsically subject to the boundary effects. As a result, the structures of signals that are highlighted by the representations are garbled when approaching the boundaries of the TF…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Adrien Meynard , Hau-Tieng Wu

Time-frequency representations, such as the short-time Fourier transform (STFT), are fundamental tools for analyzing non-stationary signals. However, their ability to achieve sharp localization in both time and frequency is inherently…

Signal Processing · Electrical Eng. & Systems 2026-04-17 David Valdivia , Elsa Cazelles , Cédric Févotte

In this paper we present a mathematical model of the Empirical Mode Decomposition (EMD). Although EMD is a powerful tool for signal processing, the algorithm itself lacks an appropriate theoretical basis. The interpolation and iteration…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Heming Wang , Richard Mann , Edward R. Vrscay

We propose a bootstrapping framework to quantify uncertainty in time-frequency representations (TFRs) generated by the short-time Fourier transform (STFT) and the STFT-based synchrosqueezing transform (SST) for oscillatory signals with…

Methodology · Statistics 2026-01-28 Hau-Tieng Wu , Zhou Zhou

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

Time series anomaly detection is a challenging problem due to the complex temporal dependencies and the limited label data. Although some algorithms including both traditional and deep models have been proposed, most of them mainly focus on…

Machine Learning · Computer Science 2023-03-28 Chaoli Zhang , Tian Zhou , Qingsong Wen , Liang Sun

Multimodal time series forecasting is crucial in real-world applications, where decisions depend on both numerical data and contextual signals. The core challenge is to effectively combine temporal numerical patterns with the context…

Machine Learning · Computer Science 2026-02-04 Huu Hiep Nguyen , Minh Hoang Nguyen , Dung Nguyen , Hung Le

The short-time Fourier transform (STFT) usually computes the same number of frequency components as the frame length while overlapping adjacent time frames by more than half. As a result, the number of components of a spectrogram matrix…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Daichi Kitahara

With the growing demand for non-Euclidean data analysis, graph signal processing (GSP) has gained significant attention for its capability to handle complex time-varying data. This paper introduces a novel sampling method based on the joint…

General Mathematics · Mathematics 2025-06-03 Yu Zhang , Bing-Zhao Li

As a vital aspect of affective computing, Multimodal Emotion Recognition has been an active research area in the multimedia community. Despite recent progress, this field still confronts two major challenges in real-world applications: 1)…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Chengxin Chen , Pengyuan Zhang

In nature and engineering world, the acquired signals are usually affected by multiple complicated factors and appear as multicomponent nonstationary modes. In such and many other situations, it is necessary to separate these signals into a…

Signal Processing · Electrical Eng. & Systems 2021-10-14 Lin Li , Ningning Han , Qingtang Jiang , Charles K. Chui

Magnetic resonance imaging (MRI) plays a vital role in clinical diagnostics, yet it remains hindered by long acquisition times and motion artifacts. Multi-contrast MRI reconstruction has emerged as a promising direction by leveraging…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Xinming Fang , Chaoyan Huang , Juncheng Li , Jun Wang , Jun Shi , Guixu Zhang

Frequency estimation is a fundamental problem in many areas. The well-known A&M and its variant estimators have established an estimation framework by iteratively interpolating the discrete Fourier transform (DFT) coefficients. In general,…

Signal Processing · Electrical Eng. & Systems 2021-05-31 Kai Wu , J. Andrew Zhang , Xiaojing Huang , Y. Jay Guo

Modal decomposition techniques, such as Empirical Mode Decomposition (EMD), Variational Mode Decomposition (VMD), and Singular Spectrum Analysis (SSA), have advanced time-frequency signal analysis since the early 21st century. These methods…

Signal Processing · Electrical Eng. & Systems 2025-10-29 Wang Hao , Kuang Zhang , Hou Chengyu , Yang Yifan , Tan Chenxing , Fu Weifeng

We present Masked Frequency Modeling (MFM), a unified frequency-domain-based approach for self-supervised pre-training of visual models. Instead of randomly inserting mask tokens to the input embeddings in the spatial domain, in this paper,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Jiahao Xie , Wei Li , Xiaohang Zhan , Ziwei Liu , Yew Soon Ong , Chen Change Loy

A time-frequency diagram is a commonly used visualization for observing the time-frequency distribution of radio signals and analyzing their time-varying patterns of communication states in radio monitoring and management. While it excels…

Signal Processing · Electrical Eng. & Systems 2022-10-03 Ying Zhao , Luhao Ge , Huixuan Xie , Genghuai Bai , Zhao Zhang , Qiang Wei , Yun Lin , Yuchao Liu , Fangfang Zhou

Image Representation learning via input reconstruction is a common technique in machine learning for generating representations that can be effectively utilized by arbitrary downstream tasks. A well-established approach is using…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Raoof HojatJalali , Edmondo Trentin

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

Signal representation in Time-Frequency (TF) domain is valuable in many applications including radar imaging and inverse synthetic aparture radar. TF representation allows us to identify signal components or features in a mixed time and…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Zeynel Deprem , A. Enis Çetin
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