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Fractional-order dynamical networks are increasingly being used to model and describe processes demonstrating long-term memory or complex interlaced dependencies amongst the spatial and temporal components of a wide variety of dynamical…

Optimization and Control · Mathematics 2021-08-04 Sarthak Chatterjee , Andrea Alessandretti , A. Pedro Aguiar , Sérgio Pequito

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

This paper addresses the data-driven identification of latent dynamical representations of partially-observed systems, i.e., dynamical systems for which some components are never observed, with an emphasis on forecasting applications,…

We propose a hierarchical Bayesian recurrent state space model for modeling switching network connectivity in resting state fMRI data. Our model allows us to uncover shared network patterns across disease conditions. We evaluate our method…

Machine Learning · Statistics 2020-11-17 Arunesh Mittal , Scott Linderman , John Paisley , Paul Sajda

Dynamic functional connectivity (dFC) using resting-state functional magnetic resonance imaging (rs-fMRI) is an advanced technique for capturing the dynamic changes of neural activities, and can be very useful in the studies of brain…

Image and Video Processing · Electrical Eng. & Systems 2025-01-29 Jing Zhang , Yanjun Lyu , Xiaowei Yu , Lu Zhang , Chao Cao , Tong Chen , Minheng Chen , Yan Zhuang , Tianming Liu , Dajiang Zhu

Modeling biological dynamical systems is challenging due to the interdependence of different system components, some of which are not fully understood. To fill existing gaps in our ability to mechanistically model physiological systems, we…

The neural ordinary differential equation (ODE) framework has emerged as a powerful tool for developing accelerated surrogate models of complex physical systems governed by partial differential equations (PDEs). A popular approach for PDE…

Fluid Dynamics · Physics 2025-03-26 Ashish S. Nair , Shivam Barwey , Pinaki Pal , Jonathan F. MacArt , Troy Arcomano , Romit Maulik

Generating realistic images to accurately predict changes in the structure of brain MRI is a crucial tool for clinicians. Such applications help assess patients' outcomes and analyze how diseases progress at the individual level. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-06-19 Mattia Litrico , Francesco Guarnera , Valerio Giuffirda , Daniele Ravì , Sebastiano Battiato

This paper proposes a novel framework to reconstruct the dynamic magnetic resonance images (DMRI) with motion compensation (MC). Due to the inherent motion effects during DMRI acquisition, reconstruction of DMRI using motion…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Ningning Zhao , Daniel O'Connor , Adrian Basarab , Dan Ruan , Peng Hu , Ke Sheng

We introduce a foundational model for brain dynamics that utilizes stochastic optimal control (SOC) and amortized inference. Our method features a continuous-discrete state space model (SSM) that can robustly handle the intricate and noisy…

Machine Learning · Computer Science 2025-02-10 Joonhyeong Park , Byoungwoo Park , Chang-Bae Bang , Jungwon Choi , Hyungjin Chung , Byung-Hoon Kim , Juho Lee

Ordinary differential equations (ODEs) provide a powerful framework for modeling dynamic systems arising in a wide range of scientific domains. However, most existing ODE methods focus on a single system, and do not adequately address the…

Methodology · Statistics 2026-04-08 Shuoxun Xu , Zijian Guo , Brooke R. Staveland , Robert T. Knight , Lexin Li

Autism Spectrum Disorder (ASD) is a neurodevelopmental disorder impacting social and behavioral development. Resting-state fMRI, a non-invasive tool for capturing brain connectivity patterns, aids in early ASD diagnosis and differentiation…

Machine Learning · Computer Science 2025-02-27 Ziqiao Weng , Weidong Cai , Bo Zhou

Functional magnetic resonance imaging (fMRI) is now a well-established technique for studying the brain. However, in many situations, such as when data are acquired in a resting state, it is difficult to know whether the data are truly…

Applications · Statistics 2013-01-15 John A. D. Aston , Claudia Kirch

Accurate diagnosis of psychiatric disorders plays a critical role in improving the quality of life for patients and potentially supports the development of new treatments. Many studies have been conducted on machine learning techniques that…

Machine Learning · Statistics 2019-04-15 Takashi Matsubara , Tetsuo Tashiro , Kuniaki Uehara

Functional Magnetic Resonance Imaging (fMRI) is a primary modality for studying brain activity. Modeling spatial dependence of imaging data at different scales is one of the main challenges of contemporary neuroimaging, and it could allow…

Applications · Statistics 2016-06-16 Stefano Castruccio , Hernando Ombao , Marc G. Genton

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

Neuroimaging data, particularly from techniques like MRI or PET, offer rich but complex information about brain structure and activity. To manage this complexity, latent representation models - such as Autoencoders, Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz

Accurate travel time estimation (TTE) plays a crucial role in intelligent transportation systems. However, it remains challenging due to heterogeneous data sources and complex traffic dynamics. Moreover, traditional approaches typically…

Machine Learning · Computer Science 2026-01-27 Zhi Liu , Xuyuan Hu , Xiao Han , Zhehao Dai , Zhaolin Deng , Guojiang Shen , Xiangjie Kong

Dissipative partial differential equations that exhibit chaotic dynamics tend to evolve to attractors that exist on finite-dimensional manifolds. We present a data-driven reduced order modeling method that capitalizes on this fact by…

Machine Learning · Computer Science 2022-07-20 Alec J. Linot , Michael D. Graham

We present a deep neural network method for learning a personal representation for individuals that are performing a self neuromodulation task, guided by functional MRI (fMRI). This neurofeedback task (watch vs. regulate) provides the…

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