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Magnetoencephalography (MEG) is a powerful technique for studying the human brain function. However, accurately estimating the number of sources that contribute to the MEG recordings remains a challenging problem due to the low…

Signal Processing · Electrical Eng. & Systems 2023-09-22 Amita Giri , John C. Mosher , Amir Adler , Dimitrios Pantazis

Cardiovascular diseases, including Heart Failure (HF), remain a leading global cause of mortality, often evading early detection. In this context, accessible and effective risk assessment is indispensable. Traditional approaches rely on…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Sergio González , Abel Ko-Chun Yi , Wan-Ting Hsieh , Wei-Chao Chen , Chun-Li Wang , Victor Chien-Chia Wu , Shang-Hung Chang

Our problem is to find a good approximation to the P-value of the maximum of a random field of test statistics for a cone alternative at each point in a sample of Gaussian random fields. These test statistics have been proposed in the…

Statistics Theory · Mathematics 2012-07-18 Jonathan E. Taylor , Keith J. Worsley

Testing equality of two multivariate distributions is a classical problem for which many non-parametric tests have been proposed over the years. Most of the popular two-sample tests, which are asymptotically distribution-free, are based…

Statistics Theory · Mathematics 2019-04-17 Bhaswar B. Bhattacharya

In the 70s a novel branch of statistics emerged focusing its effort in selecting a function in the pattern recognition problem, which fulfils a definite relationship between the quality of the approximation and its complexity. These…

Machine Learning · Statistics 2022-02-10 J M Gorriz , SiPBA Group , CAM neuroscience

When comparing multiple groups in clinical trials, we are not only interested in whether there is a difference between any groups but rather the location. Such research questions lead to testing multiple individual hypotheses. To control…

Equivalence testing for scalar data has been well addressed in the literature, however, the same cannot be said for functional data. The resultant complexity from maintaining the functional structure of the data, rather than using a scalar…

Applications · Statistics 2015-03-05 Colin B. Fogarty , Dylan S. Small

A statistical framework is presented enabling optimal sampling and analysis of constant life fatigue data. Protocols using Bayesian maximum entropy sampling are built based on conventional staircase and stress step methods, reducing the…

Materials Science · Physics 2022-09-22 Christopher M Magazzeni , Rory Rose , Chris Gearhart , Jicheng Gong , Angus J Wilkinson

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

Data with multiple functional recordings at each observational unit are increasingly common in various fields including medical imaging and environmental sciences. To conduct inference for such observations, we develop a paired two-sample…

Methodology · Statistics 2025-06-16 Colin Decker , Dehan Kong , Stanislav Volgushev

Personalized cardiac mechanics modeling is a powerful tool for understanding the biomechanics of cardiac function in health and disease and assisting in treatment planning. However, current models are limited to using medical images…

Medical Physics · Physics 2024-04-09 Lei Shi , Ian Chen , Hiroo Takayama , Vijay Vedula

Objective: We propose a non-contact approach for atrial fibrillation (AF) detection from face videos. Methods: Face videos, electrocardiography (ECG), and contact photoplethysmography (PPG) from 100 healthy subjects and 100 AF patients are…

Image and Video Processing · Electrical Eng. & Systems 2022-08-10 Zhaodong Sun , Juhani Junttila , Mikko Tulppo , Tapio Seppänen , Xiaobai Li

This paper proposes a statistical verification framework using Gaussian processes (GPs) for simulation-based verification of stochastic nonlinear systems with parametric uncertainties. Given a small number of stochastic simulations, the…

Systems and Control · Computer Science 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

Objective: Global (inter-patient) ECG classification for arrhythmia detection over Electrocardiogram (ECG) signal is a challenging task for both humans and machines. The main reason is the significant variations of both normal and…

Machine Learning · Computer Science 2022-05-31 Muhammad Uzair Zahid , Serkan Kiranyaz , Moncef Gabbouj

A new benchmark dataset for functional data analysis (FDA) is presented, focusing on the reconstruction of eye movements from EEG data. The contribution is twofold: first, open challenges and evaluation metrics tailored to FDA applications…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Tiago Vasconcelos Afonso , Florian Heinrichs

In many modern applications, a dependent functional response is observed for each subject over repeated time, leading to longitudinal functional data. In this paper, we propose a novel statistical procedure to test whether the mean function…

Methodology · Statistics 2024-01-17 Salil Koner , So Young Park , Ana-Maria Staicu

Matrix-variate Gaussian graphical models (GGM) have been widely used for modeling matrix-variate data. Since the support of sparse precision matrix represents the conditional independence graph among matrix entries, conducting support…

Methodology · Statistics 2017-09-01 Xi Chen , Weidong Liu

Longitudinal binary or count functional data are common in neuroscience, but are often too large to analyze with existing functional regression methods. We propose one-step penalized generalized estimating equations that supports…

Methodology · Statistics 2026-03-31 Gabriel Loewinger , Alex W. Levis , Erjia Cui , Francisco Pereira

Traditional echocardiographic parameters such as ejection fraction (EF) and global longitudinal strain (GLS) have limitations in the early detection of cardiac dysfunction. EF often remains normal despite underlying pathology, and GLS is…

Machine Learning · Computer Science 2025-07-21 Beka Begiashvili , Carlos J. Fernandez-Candel , Matías Pérez Paredes

Rank-based approaches are among the most popular nonparametric methods for univariate data in tackling statistical problems such as hypothesis testing due to their robustness and effectiveness. However, they are unsatisfactory for more…

Methodology · Statistics 2023-07-04 Doudou Zhou , Hao Chen
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