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Diffusion Tensor Imaging (DTI) allows estimating the position, orientation and dimension of bundles of nerve pathways. This non-invasive imaging technique takes advantage of the diffusion of water molecules and determines the diffusion…

Computer Vision and Pattern Recognition · Computer Science 2011-03-09 Miriam H. A. Bauer , Jan Egger , Daniela Kuhnt , Sebastiano Barbieri , Jan Klein , Horst K. Hahn , Bernd Freisleben , Christopher Nimsky

Due to recent technological advances, large brain imaging data sets can now be collected. Such data are highly complex so extraction of meaningful information from them remains challenging. Thus, there is an urgent need for statistical…

Applications · Statistics 2021-06-30 Seungyong Hwang , Thomas C. M. Lee , Debashis Paul , Jie Peng

Although modern imaging technologies allow us to study connectivity between two distinct brain regions in-vivo, an in-depth understanding of how anatomical structure supports brain function and how spontaneous functional fluctuations emerge…

Neurons and Cognition · Quantitative Biology 2024-10-29 Ziquan Wei , Tingting Dan , Jiaqi Ding , Guorong Wu

In this study, we present a method of pattern mining based on network theory that enables the identification of protein structures or complexes from synthetic volume densities, without the knowledge of predefined templates or human biases…

Quantitative Methods · Quantitative Biology 2022-10-18 August George , Doo Nam Kim , Trevor Moser , Ian T. Gildea , James E. Evans , Margaret S. Cheung

Analyzing and understanding the structure of complex relational data is important in many applications including analysis of the connectivity in the human brain. Such networks can have prominent patterns on different scales, calling for a…

Machine Learning · Statistics 2013-11-22 Mikkel N. Schmidt , Tue Herlau , Morten Mørup

Understanding propagation structures in graph diffusion processes, such as epidemic spread or misinformation diffusion, is a fundamental yet challenging problem. While existing methods primarily focus on source localization, they cannot…

Social and Information Networks · Computer Science 2025-03-04 Zeeshan Memon , Chen Ling , Ruochen Kong , Vishwanath Seshagiri , Andreas Zufle , Liang Zhao

Biology presents many examples of planar distribution and structural networks having dense sets of closed loops. An archetype of this form of network organization is the vasculature of dicotyledonous leaves, which showcases a…

Quantitative Methods · Quantitative Biology 2015-05-30 Eleni Katifori , Marcelo O. Magnasco

Brain structural networks are often represented as discrete adjacency matrices with elements summarizing the connectivity between pairs of regions of interest (ROIs). These ROIs are typically determined a-priori using a brain atlas. The…

Computation · Statistics 2023-08-11 William Consagra , Martin Cole , Xing Qiu , Zhengwu Zhang

Current tractography methods use the local orientation information to propagate streamlines from seed locations. Many such seeds provide streamlines that stop prematurely or fail to map the true white matter pathways because some bundles…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Jon Haitz Legarreta , Laurent Petit , Pierre-Marc Jodoin , Maxime Descoteaux

White matter (WM) tract segmentation is a crucial step for brain connectivity studies. It is performed on diffusion magnetic resonance imaging (dMRI), and deep neural networks (DNNs) have achieved promising segmentation accuracy. Existing…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Wan Liu , Chuyang Ye

Data analysis in high-dimensional spaces aims at obtaining a synthetic description of a data set, revealing its main structure and its salient features. We here introduce an approach providing this description in the form of a topography of…

Machine Learning · Statistics 2021-03-02 Maria d'Errico , Elena Facco , Alessandro Laio , Alex Rodriguez

The network topology can be described by the number of nodes and the interconnections among them. The degree of a node in a network is the number of connections it has to other nodes and the degree distribution is the probability…

Physics and Society · Physics 2014-09-19 Bin Zhou , Bing-Hong Wang , He Zhe

Edge detection is a critical component of many vision systems, including object detectors and image segmentation algorithms. Patches of edges exhibit well-known forms of local structure, such as straight lines or T-junctions. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2014-11-26 Piotr Dollár , C. Lawrence Zitnick

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

We propose two strategies to improve the quality of tractography results computed from diffusion weighted magnetic resonance imaging (DW-MRI) data. Both methods are based on the same PDE framework, defined in the coupled space of positions…

Computer Vision and Pattern Recognition · Computer Science 2017-02-08 J. M. Portegies , R. H. J. Fick , G. R. Sanguinetti , S. P. L. Meesters , G. Girard , R. Duits

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Diffusion models have shown impressive performance for generative modelling of images. In this paper, we present a novel semantic segmentation method based on diffusion models. By modifying the training and sampling scheme, we show that…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Julia Wolleb , Robin Sandkühler , Florentin Bieder , Philippe Valmaggia , Philippe C. Cattin

Diffusion-weighted magnetic resonance imaging (dMRI) allows non-invasive investigation of whole-brain connectivity, which can potentially help to reveal the brain's global network architecture and abnormalities involved in neurological and…

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

From social interactions to the human brain, higher-order networks are key to describe the underlying network geometry and topology of many complex systems. While it is well known that network structure strongly affects its function, the…

Statistical Mechanics · Physics 2022-01-11 Ana P Millán , Reza Ghorbanchian , Nicolò Defenu , Federico Battiston , Ginestra Bianconi