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Brain network analysis is vital for understanding the neural interactions regarding brain structures and functions, and identifying potential biomarkers for clinical phenotypes. However, widely used brain signals such as Blood Oxygen Level…

Machine Learning · Computer Science 2024-05-02 Kaiqiao Han , Yi Yang , Zijie Huang , Xuan Kan , Yang Yang , Ying Guo , Lifang He , Liang Zhan , Yizhou Sun , Wei Wang , Carl Yang

In this paper, we propose to model the video dynamics by learning the trajectory of independently inverted latent codes from GANs. The entire sequence is seen as discrete-time observations of a continuous trajectory of the initial latent…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Weihao Xia , Yujiu Yang , Jing-Hao Xue

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

Numerical Analysis · Mathematics 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time series data analysis. In this paper, the strength of the ordinary differential equation (ODE)…

Machine Learning · Computer Science 2020-05-21 Mansura Habiba , Barak A. Pearlmutter

Normative modeling enables individualized characterization of structural brain deviations by evaluating subjects against a reference population rather than a group average. Most existing implementations treat brain regions independently and…

Methodology · Statistics 2026-05-19 J. T. Korley

Functional Magnetic Resonance Imaging (fMRI) is an imaging technique widely used to study human brain activity. fMRI signals in areas across the brain transiently synchronise and desynchronise their activity in a highly structured manner,…

Machine Learning · Computer Science 2025-08-12 Yiran Huang , Amirhossein Nouranizadeh , Christine Ahrends , Mengjia Xu

Contemporary neuroscience has embraced network science to study the complex and self-organized structure of the human brain; one of the main outstanding issues is that of inferring from measure data, chiefly functional Magnetic Resonance…

Optimization and Control · Mathematics 2017-03-31 Giulia Prando , Mattia Zorzi , Alessandra Bertoldo , Alessandro Chiuso

In many real-world settings, image observations of freely rotating 3D rigid bodies, such as satellites, may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Leonard

The human brain can be conceptualized as a dynamical system. Utilizing resting state fMRI time series imaging, we can study the underlying dynamics at ear-marked Regions of Interest (ROIs) to understand structure or lack thereof. This…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Ninad Aithal , Chakka Sai Pradeep , Neelam Sinha

Modeling the evolution of system with time-series data is a challenging and critical task in a wide range of fields, especially when the time-series data is regularly sampled and partially observable. Some methods have been proposed to…

Machine Learning · Computer Science 2024-12-03 Mengbang Zou , Weisi Guo

Single-subject mapping of resting-state brain functional activity to non-imaging phenotypes is a major goal of neuroimaging. The large majority of learning approaches applied today rely either on static representations or on short-term…

Machine Learning · Computer Science 2022-08-09 Ahmed El-Gazzar , Rajat Mani Thomas , Guido Van Wingen

Resting-state functional MRI (rs-fMRI) is a rich imaging modality that captures spontaneous brain activity patterns, revealing clues about the connectomic organization of the human brain. While many rs-fMRI studies have focused on static…

Machine Learning · Computer Science 2019-08-20 Meenakshi Khosla , Keith Jamison , Amy Kuceyeski , Mert R. Sabuncu

Robust forecasting of the future anatomical changes inflicted by an ongoing disease is an extremely challenging task that is out of grasp even for experienced healthcare professionals. Such a capability, however, is of great importance…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Dmitrii Lachinov , Arunava Chakravarty , Christoph Grechenig , Ursula Schmidt-Erfurth , Hrvoje Bogunovic

The human brain undergoes dynamic, potentially pathology-driven, structural changes throughout a lifespan. Longitudinal Magnetic Resonance Imaging (MRI) and other neuroimaging data are valuable for characterizing trajectories of change…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Agampreet Aulakh , Nils D. Forkert , Matthias Wilms

Longitudinal MRIs are often used to capture the gradual deterioration of brain structure and function caused by aging or neurological diseases. Analyzing this data via machine learning generally requires a large number of ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jiahong Ouyang , Qingyu Zhao , Ehsan Adeli , Edith V Sullivan , Adolf Pfefferbaum , Greg Zaharchuk , Kilian M Pohl

Functional magnetic resonance imaging (fMRI) is a neuroimaging technique that records neural activations in the brain by capturing the blood oxygen level in different regions based on the task performed by a subject. Given fMRI data, the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Ashish Jaiswal , Ashwin Ramesh Babu , Mohammad Zaki Zadeh , Fillia Makedon , Glenn Wylie

Deformable image registration (DIR) is crucial in medical image analysis, enabling the exploration of biological dynamics such as organ motions and longitudinal changes in imaging. Leveraging Neural Ordinary Differential Equations (ODE) for…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yifan Wu , Mengjin Dong , Rohit Jena , Chen Qin , James C. Gee

Understanding how spontaneous brain activity relates to stimulus-driven neural responses is a fundamental challenge in cognitive neuroscience. While task-based functional magnetic resonance imaging (fMRI) captures localized stimulus-evoked…

Neurons and Cognition · Quantitative Biology 2025-09-18 Chuyang Zhou , Ziao Ji , Daochang Liu , Dongang Wang , Chenyu Wang , Chang Xu

Identifying dynamical systems from experimental data is a notably difficult task. Prior knowledge generally helps, but the extent of this knowledge varies with the application, and customized models are often needed. Neural ordinary…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Mona Buisson-Fenet , Valery Morgenthaler , Sebastian Trimpe , Florent Di Meglio

Resting-state functional magnetic resonance imaging (rs-fMRI) is a noninvasive technique pivotal for understanding human neural mechanisms of intricate cognitive processes. Most rs-fMRI studies compute a single static functional…

Neurons and Cognition · Quantitative Biology 2025-02-25 Bishal Thapaliya , Robyn Miller , Jiayu Chen , Yu-Ping Wang , Esra Akbas , Ram Sapkota , Bhaskar Ray , Pranav Suresh , Santosh Ghimire , Vince Calhoun , Jingyu Liu