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相关论文: Neural Mode Decomposition based on Fourier neural …

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Huang's Empirical Mode Decomposition (EMD) is an algorithm for analyzing nonstationary data that provides a localized time-frequency representation by decomposing the data into adaptively defined modes. EMD can be used to estimate a…

数据分析、统计与概率 · 物理学 2010-08-26 Daniel N. Kaslovsky , Francois G. Meyer

Signal decomposition is an effective tool to assist the identification of modal information in time-domain signals. Two signal decomposition methods, including the empirical wavelet transform (EWT) and Fourier decomposition method (FDM),…

信号处理 · 电气工程与系统科学 2023-01-31 Wei Zhou , Zhongren Feng , Y. F. Xu , Xiongjiang Wang , Hao Lv

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

信号处理 · 电气工程与系统科学 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

The Empirical Mode Decomposition (EMD) is a signal analysis method that separates multi-component signals into single oscillatory modes called intrinsic mode functions (IMFs), each of which can generally be associated to a physical meaning…

统计方法学 · 统计学 2019-07-11 Olav B. Fosso , Marta Molinas

We introduce a new adaptive decomposition tool, which we refer to as Nonlinear Mode Decomposition (NMD). It decomposes a given signal into a set of physically meaningful oscillations for any waveform, simultaneously removing the noise. NMD…

数值分析 · 数学 2015-10-07 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska

In this study, the Multivariate Empirical Mode Decomposition (MEMD) approach is applied to extract features from multi-channel EEG signals for mental state classification. MEMD is a data-adaptive analysis approach which is suitable…

信号处理 · 电气工程与系统科学 2022-06-03 Monira Islam , Tan Lee

Decomposing multivariate time series with certain basic dynamics is crucial for understanding, predicting and controlling nonlinear spatiotemporally dynamic systems such as the brain. Dynamic mode decomposition (DMD) is a method for…

信号处理 · 电气工程与系统科学 2025-07-15 Ryohei Fukuma , Yoshinobu Kawahara , Okito Yamashita , Kei Majima , Haruhiko Kishima , Takufumi Yanagisawa

In this paper, a novel decomposition method for non-stationary and nonlinear signals is proposed. This method is inspired by the adaptive wavelet filter bank of the empirical wavelet transform (EWT) and Fourier intrinsic band functions…

信号处理 · 电气工程与系统科学 2019-12-03 Wei Zhou , Zhongren Feng , Xiongjiang Wang , Hao Lv

Machine learning applied to computer vision and signal processing is achieving results comparable to the human brain on specific tasks due to the great improvements brought by the deep neural networks (DNN). The majority of state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2020-06-30 José Augusto Stuchi , Levy Boccato , Romis Attux

The aim of this paper is to propose a new approach for the pattern recognition of power quality (PQ) disturbances based on Empirical mode decomposition (EMD) and $k$ Nearest Neighbor ($k$-NN) classifier. Since EMD decomposes a signal into…

信号处理 · 电气工程与系统科学 2019-08-16 Faeza Hafiz , Celia Shahnaz

Empirical Mode Decomposition(EMD) is an adaptive data analysis technique for analyzing nonlinear and nonstationary data[1]. EMD decomposes the original data into a number of Intrinsic Mode Functions(IMFs)[1] for giving better physical…

统计方法学 · 统计学 2016-01-27 Sumit Kumar Ram , Marta Molinas

The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of…

数值分析 · 数学 2009-12-15 Ingrid Daubechies , Jianfeng Lu , Hau-Tieng Wu

In this paper a signal denoising scheme based on Empirical mode decomposition (EMD) is presented. The denoising method is a fully data driven approach. Noisy signal is decomposed adaptively into intrinsic oscillatory components called…

信息论 · 计算机科学 2014-06-02 Mina Kemiha

The performances of a new data processing technique, namely the Empirical Mode Decomposition, are evaluated on a fully developed turbulent velocity signal perturbed by a numerical forcing which mimics a long-period flapping. First, we…

流体动力学 · 物理学 2015-05-20 Nicolas Mazellier , Fabrice Foucher

A new variational mode decomposition (VMD) based deep learning approach is proposed in this paper for time series forecasting problem. Firstly, VMD is adopted to decompose the original time series into several sub-signals. Then, a…

机器学习 · 统计学 2020-02-25 Guowei Zhang , Tao Ren , Yifan Yang

In this paper we present a Fourier feature based deep domain decomposition method (F-D3M) for partial differential equations (PDEs). Currently, deep neural network based methods are actively developed for solving PDEs, but their efficiency…

数值分析 · 数学 2022-05-05 Sen Li , Yingzhi Xia , Yu Liu , Qifeng Liao

The architecture of a neural network and the selection of its activation function are both fundamental to its performance. Equally vital is ensuring these two elements are well-matched, as their alignment is key to achieving effective…

机器学习 · 计算机科学 2025-06-25 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

动力系统 · 数学 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

机器学习 · 计算机科学 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

The analysis of non-stationary time-series data requires insight into its local and global patterns with physical interpretability. However, traditional smoothing algorithms, such as B-splines, Savitzky-Golay filtering, and Empirical Mode…

信号处理 · 电气工程与系统科学 2026-02-25 Teymur Aghayev
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