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Data produced by resting-state functional Magnetic Resonance Imaging are widely used to infer brain functional connectivity networks. Such networks correlate neural signals to connect brain regions, which consist in groups of dependent…

Methodology · Statistics 2023-12-05 Hanâ Lbath , Alexander Petersen , Sophie Achard

Graphs are nowadays ubiquitous in the fields of signal processing and machine learning. As a tool used to express relationships between objects, graphs can be deployed to various ends: I) clustering of vertices, II) semi-supervised…

Machine Learning · Computer Science 2020-07-17 Carlos Lassance , Vincent Gripon , Gonzalo Mateos

Data-driven brain parcellations aim to provide a more accurate representation of an individual's functional connectivity, since they are able to capture individual variability that arises due to development or disease. This renders…

Neurons and Cognition · Quantitative Biology 2017-03-30 Sofia Ira Ktena , Salim Arslan , Sarah Parisot , Daniel Rueckert

Data-driven graph learning models a network by determining the strength of connections between its nodes. The data refers to a graph signal which associates a value with each graph node. Existing graph learning methods either use simplified…

Machine Learning · Computer Science 2020-11-05 Nafiseh Ghoroghchian , David M. Groppe , Roman Genov , Taufik A. Valiante , Stark C. Draper

Graph theoretical approach has proved an effective tool to understand, characterize and quantify the complex brain network. However, much less attention has been paid to methods that quantitatively compare two graphs, a crucial issue in the…

Neurons and Cognition · Quantitative Biology 2019-08-29 Ahmad Mheich , Fabrice Wendling , Mahmoud Hassan

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

Resting-state functional MRI (rs-fMRI) is widely used to noninvasively study human brain networks. Network functional connectivity is often estimated by calculating the timeseries correlation between blood-oxygen-level dependent (BOLD)…

Quantitative Methods · Quantitative Biology 2017-01-25 Nan Xu , R. Nathan Spreng , Peter C. Doerschuk

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert

Multivariate graphs are prolific across many fields, including transportation and neuroscience. A key task in graph analysis is the exploration of connectivity, to, for example, analyze how signals flow through neurons, or to explore how…

Graph inference plays an essential role in machine learning, pattern recognition, and classification. Signal processing based approaches in literature generally assume some variational property of the observed data on the graph. We make a…

Information Theory · Computer Science 2020-08-24 B. Subbareddy , Aditya Siripuram , Jingxin Zhang

Deducing the structure of neural circuits is one of the central problems of modern neuroscience. Recently-introduced calcium fluorescent imaging methods permit experimentalists to observe network activity in large populations of neurons,…

Applications · Statistics 2011-07-22 Yuriy Mishchencko , Joshua T. Vogelstein , Liam Paninski

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

Methodology · Statistics 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li

While statistical analysis of a single network has received a lot of attention in recent years, with a focus on social networks, analysis of a sample of networks presents its own challenges which require a different set of analytic tools.…

Methodology · Statistics 2019-10-23 Jesús D. Arroyo-Relión , Daniel Kessler , Elizaveta Levina , Stephan F. Taylor

In statistics and machine learning, detecting dependencies in datasets is a central challenge. We propose a novel neural network model for supervised graph structure learning, i.e., the process of learning a mapping between observational…

Machine Learning · Statistics 2024-02-14 Philipp Froehlich , Heinz Koeppl

Undirected graphical models are powerful tools for uncovering complex relationships among high-dimensional variables. This paper aims to fully recover the structure of an undirected graphical model when the data naturally take matrix form,…

Methodology · Statistics 2025-08-08 Minsub Shin , Johan Lim , Seongoh Park

Graphical models have been used extensively for modeling brain connectivity networks. However, unmeasured confounders and correlations among measurements are often overlooked during model fitting, which may lead to spurious scientific…

Methodology · Statistics 2020-12-10 Yanxin Jin , Yang Ning , Kean Ming Tan

Machine learning provides a valuable tool for analyzing high-dimensional functional neuroimaging data, and is proving effective in predicting various neurological conditions, psychiatric disorders, and cognitive patterns. In functional…

Machine Learning · Computer Science 2024-11-25 Anwar Said , Roza G. Bayrak , Tyler Derr , Mudassir Shabbir , Daniel Moyer , Catie Chang , Xenofon Koutsoukos

Inferring synaptic connectivity from neural population activity is a fundamental challenge in computational neuroscience, complicated by partial observability and mismatches between inference models and true circuit dynamics. In this study,…

Neurons and Cognition · Quantitative Biology 2025-10-28 Kijung Yoon

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

Optimization and Control · Mathematics 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro