[HTML][HTML] Powering research through innovative methods for mixtures in epidemiology (PRIME) program: novel and expanded statistical methods

BR Joubert, MA Kioumourtzoglou… - International Journal of …, 2022 - mdpi.com
Humans are exposed to a diverse mixture of chemical and non-chemical exposures across
their lifetimes. Well-designed epidemiology studies as well as sophisticated exposure …

[HTML][HTML] Topological data analysis for multivariate time series data

AB El-Yaagoubi, MK Chung, H Ombao - Entropy, 2023 - mdpi.com
Over the last two decades, topological data analysis (TDA) has emerged as a very powerful
data analytic approach that can deal with various data modalities of varying complexities …

Identification of interacting neural populations: methods and statistical considerations

RE Kass, H Bong, M Olarinre, Q Xin… - Journal of …, 2023 - journals.physiology.org
As improved recording technologies have created new opportunities for neurophysiological
investigation, emphasis has shifted from individual neurons to multiple populations that form …

[HTML][HTML] Brain connectivity analysis in distinct footwear conditions during infinity walk using fnirs

H Khan, MA Pinto-Orellana, P Mirtaheri - Sensors, 2023 - mdpi.com
Gait and balance are an intricate interplay between the brain, nervous system, sensory
organs, and musculoskeletal system. They are greatly influenced by the type of footwear …

Graphical models for nonstationary time series

S Basu, S Subba Rao - The Annals of Statistics, 2023 - projecteuclid.org
Graphical models for nonstationary time series Page 1 The Annals of Statistics 2023, Vol. 51,
No. 4, 1453–1483 https://doi.org/10.1214/22-AOS2205 © Institute of Mathematical Statistics …

Markov-switching state-space models with applications to neuroimaging

D Degras, CM Ting, H Ombao - Computational Statistics & Data Analysis, 2022 - Elsevier
State-space models (SSM) with Markov switching offer a powerful framework for detecting
multiple regimes in time series, analyzing mutual dependence and dynamics within regimes …

Break point detection for functional covariance

S Jiao, RD Frostig, H Ombao - Scandinavian Journal of …, 2023 - Wiley Online Library
Many neuroscience experiments record sequential trajectories where each trajectory
consists of oscillations and fluctuations around zero. Such trajectories can be viewed as …

Radial neighbours for provably accurate scalable approximations of Gaussian processes

Y Zhu, M Peruzzi, C Li, DB Dunson - Biometrika, 2024 - academic.oup.com
In geostatistical problems with massive sample size, Gaussian processes can be
approximated using sparse directed acyclic graphs to achieve scalable O (n) computational …

[HTML][HTML] Connectivity analysis for multivariate time series: Correlation vs. causality

A Papana - Entropy, 2021 - mdpi.com
The study of the interdependence relationships of the variables of an examined system is of
great importance and remains a challenging task. There are two distinct cases of …

Frequency-specific non-linear granger causality in a network of brain signals

A Biswas, H Ombao - ICASSP 2022-2022 IEEE International …, 2022 - ieeexplore.ieee.org
We propose a novel algorithm to extract frequency-band specific and non-linear Granger
causality (Spectral NLGC) connections between components of a multivariate time series …