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Early clinical assessment of Alzheimer's disease relies on behavior scores that measure a subject's language, memory, and cognitive skills. On the medical imaging side, functional magnetic resonance imaging has provided invaluable insights…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Javier Salazar Cavazos , Maximillian Egan , Krisanne Litinas , Benjamin Hampstead , Scott Peltier

Poverty is a complex dynamic challenge that cannot be adequately captured using predefined differential equations. Nowadays, artificial machine learning (ML) methods have demonstrated significant potential in modelling real-world dynamical…

Dynamical Systems · Mathematics 2026-04-02 Sandeep Kumar Samota , Snehashish Chakraverty , Narayan Sethi

Resting-state functional Magnetic Resonance Imaging (fMRI) is a powerful imaging technique for studying functional development of the brain in utero. However, unpredictable and excessive movement of fetuses has limited clinical application…

Functional Magnetic Resonance Imaging (fMRI) captures the temporal dynamics of neural activity as a function of spatial location in the brain. Thus, fMRI scans are represented as 4-Dimensional (3-space + 1-time) tensors. And it is widely…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Ahmed El-Gazzar , Mirjam Quaak , Leonardo Cerliani , Peter Bloem , Guido van Wingen , Rajat Mani Thomas

The human brain is a complex and highly dynamic system, and our current knowledge of its functional mechanism is still very limited. Fortunately, with functional magnetic resonance imaging (fMRI), we can observe blood oxygen level-dependent…

Neurons and Cognition · Quantitative Biology 2024-12-31 Yifei Sun , Mariano Cabezas , Jiah Lee , Chenyu Wang , Wei Zhang , Fernando Calamante , Jinglei Lv

Recent advances in learning dynamical systems from data have shown significant promise. However, many existing methods assume access to the full state of the system -- an assumption that is rarely satisfied in practice, where systems are…

Machine Learning · Computer Science 2026-03-10 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

Predicting future brain state from a baseline magnetic resonance image (MRI) is a central challenge in neuroimaging and has important implications for studying neurodegenerative diseases such as Alzheimer's disease (AD). Most existing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Ali Farki , Elaheh Moradi , Deepika Koundal , Jussi Tohka

Classical sequential models employed in time-series prediction rely on learning the mappings from the past to the future instances by way of a hidden state. The Hidden states characterise the historical information and encode the required…

Machine Learning · Computer Science 2023-02-14 Vignesh Gopakumar , Stanislas Pamela , Lorenzo Zanisi

Recent research in non-intrusive data-driven model order reduction (MOR) enabled accurate and efficient approximation of parameterized ordinary differential equations (ODEs). However, previous studies have focused on constant parameters,…

Dynamical Systems · Mathematics 2021-10-27 Jonas Kneifl , Julian Hay , Jörg Fehr

Training dynamic models, such as neural ODEs, on long trajectories is a hard problem that requires using various tricks, such as trajectory splitting, to make model training work in practice. These methods are often heuristics with poor…

Machine Learning · Computer Science 2023-02-09 Valerii Iakovlev , Cagatay Yildiz , Markus Heinonen , Harri Lähdesmäki

Dynamic magnetic resonance imaging (dMRI) captures temporally-resolved anatomy but is often challenged by limited sampling and motion-induced artifacts. Conventional motion-compensated reconstructions typically rely on pre-estimated optical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Baoqing Li , Yuanyuan Liu , Congcong Liu , Qingyong Zhu , Jing Cheng , Yihang Zhou , Hao Chen , Zhuo-Xu Cui , Dong Liang

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

Functional magnetic resonance imaging (fMRI) techniques have contributed significantly to our understanding of brain function. Current methods are based on the analysis of \emph{gradual and continuous} changes in the brain blood oxygenated…

Neurons and Cognition · Quantitative Biology 2011-07-25 Enzo Tagliazucchi , Pablo Balenzuela , Daniel Fraiman , Dante R. Chialvo

Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous-time analog to discrete neural networks. Despite their promise, deploying…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Jan S. Hesthaven

Functional magnetic resonance imaging (fMRI) data contain complex spatiotemporal dynamics, thus researchers have developed approaches that reduce the dimensionality of the signal while extracting relevant and interpretable dynamics. Models…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Eloy Geenjaar , Amrit Kashyap , Noah Lewis , Robyn Miller , Vince Calhoun

Functional Magnetic Resonance Imaging (fMRI) data is a widely used kind of four-dimensional biomedical data, which requires effective compression. However, fMRI compressing poses unique challenges due to its intricate temporal dynamics, low…

Image and Video Processing · Electrical Eng. & Systems 2024-03-01 Ruoran Li , Runzhao Yang , Wenxin Xiang , Yuxiao Cheng , Tingxiong Xiao , Jinli Suo

Capturing dynamic spatiotemporal neural activity is essential for understanding large-scale brain mechanisms. Functional magnetic resonance imaging (fMRI) provides high-resolution cortical representations that form a strong basis for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Wanying Qu , Jianxiong Gao , Wei Wang , Yanwei Fu

A long-standing topic in artificial intelligence is the effective recognition of patterns from noisy images. In this regard, the recent data-driven paradigm considers 1) improving the representation robustness by adding noisy samples in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Shuren Qi , Yushu Zhang , Chao Wang , Tao Xiang , Xiaochun Cao , Yong Xiang

Understanding the dynamic reorganization of brain networks is critical for predicting cognitive decline, neurological progression, and individual variability in clinical outcomes. This work proposes a multimodal graph neural network…

Machine Learning · Computer Science 2026-02-11 Preksha Girish , Rachana Mysore , Kiran K. N. , Hiranmayee R. , Shipra Prashanth , Shrey Kumar

The Blood-Oxygen-Level-Dependent (BOLD) signal of resting-state fMRI (rs-fMRI) records the temporal dynamics of intrinsic functional networks in the brain. However, existing deep learning methods applied to rs-fMRI either neglect the…

Machine Learning · Computer Science 2021-06-30 Soham Gadgil , Qingyu Zhao , Adolf Pfefferbaum , Edith V. Sullivan , Ehsan Adeli , Kilian M. Pohl