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The collection of data on populations of networks is becoming increasingly common, where each data point can be seen as a realisation of a network-valued random variable. A canonical example is that of brain networks: a typical neuroimaging…

Methodology · Statistics 2021-04-13 Brieuc Lehmann , Simon White

Sparse inverse covariance estimation (i.e., edge de-tection) is an important research problem in recent years, wherethe goal is to discover the direct connections between a set ofnodes in a networked system based upon the observed…

Machine Learning · Computer Science 2021-01-15 Hang Yin , Xinyue Liu , Xiangnan Kong

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential…

Machine Learning · Computer Science 2021-06-02 Xuhui Meng , Hessam Babaee , George Em Karniadakis

Genetic association studies for brain connectivity phenotypes have gained prominence due to advances in non-invasive imaging techniques and quantitative genetics. Brain connectivity traits, characterized by network configurations and unique…

Methodology · Statistics 2023-05-17 Xinyuan Tian , Yiting Wang , Selena Wang , Yi Zhao , Yize Zhao

Several studies claim that listening to Mozart music affects cognition and can be used to treat neurological conditions like epilepsy. Research into this Mozart effect has not addressed how dynamic interactions between brain networks, i.e.…

Systems and Control · Electrical Eng. & Systems 2020-10-16 Rik J. C. van Esch , Shengling Shi , Antoine Bernas , Svitlana Zinger , Albert P. Aldenkamp , Paul M. J. Van den Hof

Inference of brain functional connectivity networks from resting-state fMRI data is a key focus in neuroimaging. This paper introduces new Bayesian approaches for inferring a functional connectivity graph from multivariate resting-state…

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Characterizing the subtle changes of functional brain networks associated with the pathological cascade of Alzheimer's disease (AD) is important for early diagnosis and prediction of disease progression prior to clinical symptoms. We…

Neurons and Cognition · Quantitative Biology 2020-11-12 Mengjia Xu , David Lopez Sanz , Pilar Garces , Fernando Maestu , Quanzheng Li , Dimitrios Pantazis

Brain network discovery aims to find nodes and edges from the spatio-temporal signals obtained by neuroimaging data, such as fMRI scans of human brains. Existing methods tend to derive representative or average brain networks, assuming…

Machine Learning · Computer Science 2023-11-07 Hang Yin , Yao Su , Xinyue Liu , Thomas Hartvigsen , Yanhua Li , Xiangnan Kong

In recent years, functional magnetic resonance imaging has emerged as a powerful tool for investigating the human brain's functional connectivity networks. Related studies demonstrate that functional connectivity networks in the human brain…

Artificial Intelligence · Computer Science 2023-09-18 Xiangzhu Meng , Wei Wei , Qiang Liu , Shu Wu , Liang Wang

Subtle alterations in brain network topology often evade detection by traditional statistical methods. To address this limitation, we introduce a Bayesian inference framework for topological comparison of brain networks that…

Methodology · Statistics 2025-11-06 Xukun Zhu , Michael W Lutz , Tananun Songdechakraiwut

Fusing structural-functional images of the brain has shown great potential to analyze the deterioration of Alzheimer's disease (AD). However, it is a big challenge to effectively fuse the correlated and complementary information from…

Image and Video Processing · Electrical Eng. & Systems 2023-10-06 Qiankun Zuo , Junren Pan , Shuqiang Wang

Dynamic demand prediction is crucial for the efficient operation and management of urban transportation systems. Extensive research has been conducted on single-mode demand prediction, ignoring the fact that the demands for different…

Machine Learning · Computer Science 2022-09-02 Yuebing Liang , Guan Huang , Zhan Zhao

Gaussian Graphical Models (GGM) are popularly used in neuroimaging studies based on fMRI, EEG or MEG to estimate functional connectivity, or relationships between remote brain regions. In multi-subject studies, scientists seek to identify…

Methodology · Statistics 2017-05-01 Manjari Narayan , Genevera I. Allen , Steffie Tomson

A large scale computational model of the basal ganglia (BG) network is proposed to describes movement disorder including deep brain stimulation (DBS). The model of this complex network considers four areas of the basal ganglia network: the…

Neurons and Cognition · Quantitative Biology 2021-03-15 Konstantinos Spiliotis , Jens Starke , Denise Franz , Angelika Richter , Rüdiger Köhling

We present a unified statistical framework for characterizing community structure of brain functional networks that captures variation across individuals and evolution over time. Existing methods for community detection focus only on…

Machine Learning · Computer Science 2022-01-10 Chee-Ming Ting , S. Balqis Samdin , Meini Tang , Hernando Ombao

Network lasso is a method for solving a multi-task learning problem through the regularized maximum likelihood method. A characteristic of network lasso is setting a different model for each sample. The relationships among the models are…

Methodology · Statistics 2021-10-19 Kaito Shimamura , Shuichi Kawano

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

Sleep stage classification is essential for sleep assessment and disease diagnosis. Although previous attempts to classify sleep stages have achieved high classification performance, several challenges remain open: 1) How to effectively…

Signal Processing · Electrical Eng. & Systems 2021-09-07 Ziyu Jia , Youfang Lin , Jing Wang , Xiaojun Ning , Yuanlai He , Ronghao Zhou , Yuhan Zhou , Li-wei H. Lehman