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Multivariate Singular Spectrum Analysis (MSSA) is a powerful and widely used nonparametric method for multivariate time series, which allows the analysis of complex temporal data from diverse fields such as finance, healthcare, ecology, and…

Methodology · Statistics 2024-07-08 Fabio Centofanti , Mia Hubert , Biagio Palumbo , Peter J. Rousseeuw

Multivariate or multichannel data have become ubiquitous in many modern scientific and engineering applications, e.g., biomedical engineering, owing to recent advances in sensor and computing technology. Processing these data sets is…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Sikender Gul , Muhammad Faisal Siddiqui , Naveed Ur Rehman

Fuzzy clustering provides a natural framework for modeling partial memberships, particularly important in multivariate time series (MTS) where state boundaries are often ambiguous. For example, in EEG monitoring of driver alertness, neural…

Computation · Statistics 2025-11-03 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

Separating shared and independent features is crucial for multi-phase contrast-enhanced (CE) MRI synthesis. However, existing methods use deep autoencoder generators with low parameter efficiency and lack interpretable training strategies.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Xiaoyan Kui , Qianmu Xiao , Qqinsong Li , Zexin Ji , JIelin Zhang , Beiji Zou

Deep learning models in medical contexts face challenges like data scarcity, inhomogeneity, and privacy concerns. This study focuses on improving ventricular segmentation in brain MRI images using synthetic data. We employed two latent…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Tim Ruschke , Jonathan Frederik Carlsen , Adam Espe Hansen , Ulrich Lindberg , Amalie Monberg Hindsholm , Martin Norgaard , Claes Nøhr Ladefoged

In this paper, we consider distributed maximum likelihood estimation (MLE) with dependent quantized data under the assumption that the structure of the joint probability density function (pdf) is known, but it contains unknown deterministic…

Information Theory · Computer Science 2013-09-17 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

We consider the statistical analysis of heterogeneous data for prediction in situations where the observations include functions, typically time series. We extend the modeling with Mixtures-of-Experts (ME), as a framework of choice in…

Methodology · Statistics 2023-12-21 Faïcel Chamroukhi , Nhat Thien Pham , Van Hà Hoang , Geoffrey J. McLachlan

A novel method for tackling the problem of imbalanced data in medical image segmentation is proposed in this work. In balanced cross entropy (CE) loss, which is a type of weighted CE loss, the weight assigned to each class is the in-verse…

Image and Video Processing · Electrical Eng. & Systems 2024-12-10 Seyed Mohsen Hosseini , Mahdieh Soleymani Baghshah

Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce broken detailed balance at the molecular scale. This molecular scale breaking of detailed balance is crucial to achieve biological functions such as…

Biological Physics · Physics 2018-05-02 F. Gnesotto , F. Mura , J. Gladrow , C. P. Broedersz

Modern imaging techniques for probing brain function, including functional Magnetic Resonance Imaging, intrinsic and extrinsic contrast optical imaging, and magnetoencephalography, generate large data sets with complex content. In this…

Neurons and Cognition · Quantitative Biology 2009-11-10 P. P. Mitra , B. Pesaran

In this paper we propose a generalization of a class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter for long-range dependent multivariate time series. We generalize a known GSE-type estimator by…

Statistics Theory · Mathematics 2013-05-23 Guilherme Pumi , Sílvia R. C. Lopes

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

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

Learning the parameters of Partially Observable Markov Decision Processes (POMDPs) from limited data is a significant challenge. We introduce the Fuzzy MAP EM algorithm, a novel approach that incorporates expert knowledge into the parameter…

Machine Learning · Computer Science 2025-11-19 Marco Locatelli , Arjen Hommersom , Roberto Clemens Cerioli , Daniela Besozzi , Fabio Stella

In the framework of algebraic inversion, Magnetic Resonance Elastography (MRE) repeatability, reproducibility and robustness were evaluated on extracted shear velocities (or elastic moduli). The same excitation system was implemented at two…

A popular approach to sample a diffusion-based generative model is to solve an ordinary differential equation (ODE). In existing samplers, the coefficients of the ODE solvers are pre-determined by the ODE formulation, the reverse discrete…

Machine Learning · Computer Science 2023-10-04 Guoqiang Zhang , Niwa Kenta , W. Bastiaan Kleijn

Centroid-based methods including k-means and fuzzy c-means are known as effective and easy-to-implement approaches to clustering purposes in many applications. However, these algorithms cannot be directly applied to supervised tasks. This…

Machine Learning · Computer Science 2021-04-20 Pooya Ashtari , Fateme Nateghi Haredasht , Hamid Beigy

The Multimodal Direct Inversion (MMDI) algorithm is widely used in Magnetic Resonance Elastography (MRE) to estimate tissue shear stiffness. However, MMDI relies on the Helmholtz equation, which assumes wave propagation in a uniform,…

Machine Learning · Computer Science 2025-12-16 Hassan Iftikhar , Rizwan Ahmad , Arunark Kolipaka

Studies on generalization performance of machine learning algorithms under the scope of information theory suggest that compressed representations can guarantee good generalization, inspiring many compression-based regularization methods.…

Machine Learning · Computer Science 2019-10-16 Antoine Saporta , Yifu Chen , Michael Blot , Matthieu Cord

Patient representation learning based on electronic health records (EHR) is a critical task for disease prediction. This task aims to effectively extract useful information on dynamic features. Although various existing works have achieved…

Machine Learning · Computer Science 2024-01-02 Ziyue Yu , Jiayi Wang , Wuman Luo , Rita Tse , Giovanni Pau
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