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An important goal of medical imaging is to be able to precisely detect patterns of disease specific to individual scans; however, this is challenged in brain imaging by the degree of heterogeneity of shape and appearance. Traditional…

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

Systems and Control · Computer Science 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Very often data we encounter in practice is a collection of matrices rather than a single matrix. These multi-block data are naturally linked and hence often share some common features and at the same time they have their own individual…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Guoxu Zhou , Andrzej Cichocki , Yu Zhang , Danilo Mandic

A new segmented compressed sampling method for analog-to-information conversion (AIC) is proposed. An analog signal measured by a number of parallel branches of mixers and integrators (BMIs), each characterized by a specific random sampling…

Information Theory · Computer Science 2015-05-18 Omid Taheri , Sergiy A. Vorobyov

Studies of functional MRI data are increasingly concerned with the estimation of differences in spatio-temporal networks across groups of subjects or experimental conditions. Unsupervised clustering and independent component analysis (ICA)…

Seismic signal is used for vehicle classification widely. However, this task becomes difficult as a result of various noises. To solve the problem, this paper proposes a novel de-noising algorithm which evolves from a nonparametric adaptive…

Signal Processing · Electrical Eng. & Systems 2020-02-24 Guozheng Jin

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

Resting-state functional MRI (rs-fMRI) is increasingly employed in multi-site research to aid neurological disorder analysis. Existing studies usually suffer from significant cross-site/domain data heterogeneity caused by site effects such…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Yuqi Fang , Jinjian Wu , Qianqian Wang , Shijun Qiu , Andrea Bozoki , Huaicheng Yan , Mingxia Liu

This study applies Empirical Mode Decomposition (EMD) to the MSCI World index and converts the resulting intrinsic mode functions (IMFs) into graph representations to enable modeling with graph neural networks (GNNs). Using CEEMDAN, we…

Machine Learning · Computer Science 2025-12-16 Agustín M. de los Riscos , Julio E. Sandubete , Diego Carmona-Fernández , León Beleña

We consider moment matching techniques for estimation in Latent Dirichlet Allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulant-based…

Machine Learning · Statistics 2015-11-06 Anastasia Podosinnikova , Francis Bach , Simon Lacoste-Julien

The ageing process may lead to cognitive and physical impairments, which may affect elderly everyday life. In recent years, the use of Brain Computer Interfaces (BCIs) based on Electroencephalography (EEG) has revealed to be particularly…

Signal Processing · Electrical Eng. & Systems 2022-03-28 Aurora Saibene , Francesca Gasparini , Jordi Solé-Casals

Analysis of brain activity in resting-state is of fundamental importance in identifying functional characteristics of neuronal system. Although resting brain has been extensively investigated for low frequency synchrony between brain…

Neurons and Cognition · Quantitative Biology 2012-01-04 Shahab Kadkhodaeian Bakhtiari , Gholam-Ali Hossein-Zadeh

Federated learning is a data decentralization privacy-preserving technique used to perform machine or deep learning in a secure way. In this paper we present theoretical aspects about federated learning, such as the presentation of an…

Machine Learning · Computer Science 2022-11-09 Judith Sáinz-Pardo Díaz , Álvaro López García

We consider shared response modeling, a multi-view learning problem where one wants to identify common components from multiple datasets or views. We introduce Shared Independent Component Analysis (ShICA) that models each view as a linear…

Machine Learning · Computer Science 2021-10-27 Hugo Richard , Pierre Ablin , Bertrand Thirion , Alexandre Gramfort , Aapo Hyvärinen

Unsupervised feature learning algorithms based on convolutional formulations of independent components analysis (ICA) have been demonstrated to yield state-of-the-art results in several action recognition benchmarks. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Sotirios P. Chatzis

Independent component analysis (ICA) is the problem of efficiently recovering a matrix $A \in \mathbb{R}^{n\times n}$ from i.i.d. observations of $X=AS$ where $S \in \mathbb{R}^n$ is a random vector with mutually independent coordinates.…

Machine Learning · Computer Science 2015-09-03 Joseph Anderson , Navin Goyal , Anupama Nandi , Luis Rademacher

Data fusion refers to the joint analysis of multiple datasets which provide complementary views of the same task. In this preprint, the problem of jointly analyzing electroencephalography (EEG) and functional Magnetic Resonance Imaging…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Christos Chatzichristos , Eleftherios Kofidis , Lieven De Lathauwer , Sergios Theodoridis , Sabine Van Huffel

Aggregating multi-subject functional magnetic resonance imaging (fMRI) data is indispensable for generating valid and general inferences from patterns distributed across human brains. The disparities in anatomical structures and functional…

Machine Learning · Computer Science 2019-11-20 Weida Li , Mingxia Liu , Fang Chen , Daoqiang Zhang

Federated learning enables multiple hospitals to cooperatively learn a shared model without privacy disclosure. Existing methods often take a common assumption that the data from different hospitals have the same modalities. However, such a…

Image and Video Processing · Electrical Eng. & Systems 2023-06-06 Yunlu Yan , Hong Wang , Yawen Huang , Nanjun He , Lei Zhu , Yuexiang Li , Yong Xu , Yefeng Zheng

Functional magnetic resonance imaging (fMRI) data is characterized by its complexity and high--dimensionality, encompassing signals from various regions of interests (ROIs) that exhibit intricate correlations. Analyzing fMRI data directly…

Applications · Statistics 2024-01-18 Yeseul Jeon , Jeong-Jae Kim , SuMin Yu , Junggu Choi , Sanghoon Han