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The intrinsic mode function (IMF) provides adaptive function bases for nonlinear and non-stationary time series data. A fast convergent iterative method is introduced in this paper to find the IMF components of the data, the method is…

Numerical Analysis · Computer Science 2008-09-11 Louis Yu Lu

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…

Methodology · Statistics 2016-01-27 Sumit Kumar Ram , Marta Molinas

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…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Wei Zhou , Zhongren Feng , Xiongjiang Wang , Hao Lv

The Empirical Mode Decomposition (EMD) provides a tool to characterize time series in terms of its implicit components oscillating at different time-scales. We apply this decomposition to intraday time series of the following three…

Computational Engineering, Finance, and Science · Computer Science 2018-04-04 Noemi Nava , T. Di Matteo , Tomaso Aste

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…

Methodology · Statistics 2019-07-11 Olav B. Fosso , Marta Molinas

An efficient method is introduced in this paper to find the intrinsic mode function (IMF) components of time series data. This method is faster and more predictable than the Empirical Mode Decomposition (EMD) method devised by the author of…

Numerical Analysis · Computer Science 2007-11-14 Louis Yu Lu

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…

Fluid Dynamics · Physics 2015-05-20 Nicolas Mazellier , Fabrice Foucher

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…

Data Analysis, Statistics and Probability · Physics 2010-08-26 Daniel N. Kaslovsky , Francois G. Meyer

The behavior of neural networks still remains opaque, and a recently widely noted phenomenon is that networks often achieve similar performance when initialized with different random parameters. This phenomenon has attracted significant…

Machine Learning · Computer Science 2023-11-28 Yiting Chen , Zhanpeng Zhou , Junchi Yan

Using a model of the environment and a value function, an agent can construct many estimates of a state's value, by unrolling the model for different lengths and bootstrapping with its value function. Our key insight is that one can treat…

Bayesian integral functional measure of entropy-uncertainty (EF) on trajectories of Markov multi-dimensional diffusion process is cutting off by interactive impulses (controls). Each cutoff minimax of EF superimposes and entangles…

Adaptation and Self-Organizing Systems · Physics 2014-10-03 Vladimir S. Lerner

We present a general perturbative effective field theory (EFT) description of galaxy shape correlations, which are commonly known as intrinsic alignments. This rigorous approach extends current analytical modelling strategies in that it…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Zvonimir Vlah , Nora Elisa Chisari , Fabian Schmidt

Reproducibility is a fundamental requirement for validating scientific claims in computational research. Stochastic computational models are widely used in fields such as systems biology, financial modeling and environmental sciences.…

Models of stochastic image deformation allow study of time-continuous stochastic effects transforming images by deforming the image domain. Applications include longitudinal medical image analysis with both population trends and random…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Alexander Christgau , Alexis Arnaudon , Stefan Sommer

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

We consider the problem of estimating the difference between two functional undirected graphical models with shared structures. In many applications, data are naturally regarded as high-dimensional random function vectors rather than…

Machine Learning · Statistics 2019-11-19 Boxin Zhao , Y. Samuel Wang , Mladen Kolar

The inductance/impedance due to thin metallic structures in non-destructive testing (NDT) is difficult to evaluate. In particular, in Finite Element Method (FEM) eddy current simulation, an extremely fine mesh is required to accurately…

Signal Processing · Electrical Eng. & Systems 2019-05-31 Wuliang Yin , Jiawei Tang , Mingyang Lu , Hanyang Xu , Ruochen Huang , Qian Zhao , Zhijie Zhang , Anthony Peyton

It is shown here that the Exact Exchange (EE) formalism provides a natural and rigorous approach for a Density Functional Theory (DFT) of the Integer Quantum Hall Effect (IQHE). Application of a novel EE method to a quasi two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 D. Miravet , G. J. Ferreira , C. R. Proetto

This contribution reports an application of MultiFractal Detrended Fluctuation Analysis, MFDFA based novel feature extraction technique for automated detection of epilepsy. In fractal geometry, Multifractal Detrended Fluctuation Analysis…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 S Pratiher , S Chatterjee , R Bose

The effects of electromagnetic fields (EMF) have been widely debated concerning their role in chemical reactions. Reactions usually took hours or days to complete, and have been shown to happen a thousand times faster using EMF radiations.…

Chemical Physics · Physics 2022-11-30 Kelvin Dsouza , Daryoosh Vashaee
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