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Dynamic graph learning has gained significant attention as it offers a powerful means to model intricate interactions among entities across various real-world and scientific domains. Notably, graphs serve as effective representations for…

Machine Learning · Computer Science 2024-01-17 Sanaz Hasanzadeh Fard

Vascular networks play a crucial role in understanding brain functionalities. Brain integrity and function, neuronal activity and plasticity, which are crucial for learning, are actively modulated by their local environments, specifically…

Neurons and Cognition · Quantitative Biology 2024-02-28 Jiachen Yao , Nina Hagemann , Qiaojie Xiong , Jianxu Chen , Dirk M. Hermann , Chao Chen

Graph Signal Processing (GSP) is a promising framework to analyze multi-dimensional neuroimaging datasets, while taking into account both the spatial and functional dependencies between brain signals. In the present work, we apply…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Mathilde Ménoret , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

We interpret the subgraph centrality as the partition function of a network. The entropy, the internal energy and the Helmholtz free energy are defined for networks and molecular graphs on the basis of graph spectral theory. Various…

Physics and Society · Physics 2009-05-27 Ernesto Estrada , Naomichi Hatano

Brain disorders in the early and late life of humans potentially share pathological alterations in brain functions. However, the key evidence from neuroimaging data for pathological commonness remains unrevealed. To explore this hypothesis,…

Artificial Intelligence · Computer Science 2023-02-24 Mianxin Liu , Jingyang Zhang , Yao Wang , Yan Zhou , Fang Xie , Qihao Guo , Feng Shi , Han Zhang , Qian Wang , Dinggang Shen

In neuroimaging, extensive post-processing of resting-state functional MRI (rfMRI) data is necessary for its application and investigation in relation to brain-behavior associations. Such post-processing is used to derive brain…

Computational Geometry · Computer Science 2025-09-11 Ty Easley , Kevin Freese , Elizabeth Munch , Janine Bijsterbosch

We present a mathematical and philosophical framework in which brain function is modeled using sheaf theory over neural state spaces. Local neural or cognitive functions are represented as sections of a sheaf, while global coherence…

Neurons and Cognition · Quantitative Biology 2026-01-23 Takao Inoué

Representation learning is the foundation for the recent success of neural network models. However, the distributed representations generated by neural networks are far from ideal. Due to their highly entangled nature, they are di cult to…

Machine Learning · Computer Science 2016-02-09 William Whitney

Finding inherent or processed links within a dataset allows to discover potential knowledge. The main contribution of this article is to define a global framework that enables optimal knowledge discovery by visually rendering co-occurences…

Social and Information Networks · Computer Science 2018-09-05 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet

Brain networks are typically represented by adjacency matrices, where each node corresponds to a brain region. In traditional brain network analysis, nodes are assumed to be matched across individuals, but the methods used for node matching…

Methodology · Statistics 2025-03-21 Martin Cole , Yang Xiang , Will Consagra , Anuj Srivastava , Xing Qiu , Zhengwu Zhang

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

In the last decade or so, we have witnessed deep learning reinvigorating the machine learning field. It has solved many problems in the domains of computer vision, speech recognition, natural language processing, and various other tasks…

Machine Learning · Computer Science 2021-09-09 Lilapati Waikhom , Ripon Patgiri

In this paper we review the preprocessing pipeline through which fMRI data is transformed into a network. We discuss three parameters that mostly affect our understanding of the existence of functional correlations between the brain…

Neurons and Cognition · Quantitative Biology 2022-02-07 Amin Kaveh , Matteo Magnani , Christian Rohner

The study of neuronal morphology is important not only for its potential relationship with neuronal dynamics, but also as a means to classify diverse types of cells and compare than among species, organs, and conditions. In the present…

Neurons and Cognition · Quantitative Biology 2024-03-11 Alexandre Benatti , Henrique F. de Arruda , Luciano da F. Costa

Quantitative modeling of human brain activity based on language representations has been actively studied in systems neuroscience. However, previous studies examined word-level representation, and little is known about whether we could…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Eri Matsuo , Ichiro Kobayashi , Shinji Nishimoto , Satoshi Nishida , Hideki Asoh

Modelling relationships between entities in real-world systems with a simple graph is a standard approach. However, reality is better embraced as several interdependent subsystems (or layers). Recently the concept of a multilayer network…

Social and Information Networks · Computer Science 2019-02-20 Mohammad Ghoniem , Fintan Mcgee , Guy Melançon , Benoit Otjacques , Bruno Pinaud

The mental lexicon is a complex cognitive system representing information about the words/concepts that one knows. Decades of psychological experiments have shown that conceptual associations across multiple, interactive cognitive levels…

Computation and Language · Computer Science 2022-10-04 Massimo Stella , Salvatore Citraro , Giulio Rossetti , Daniele Marinazzo , Yoed N. Kenett , Michael S. Vitevitch

In this work, we introduce a hypergraph representation learning framework called Hypergraph Neural Networks (HNN) that jointly learns hyperedge embeddings along with a set of hyperedge-dependent embeddings for each node in the hypergraph.…

Machine Learning · Computer Science 2023-01-02 Ryan Aponte , Ryan A. Rossi , Shunan Guo , Jane Hoffswell , Nedim Lipka , Chang Xiao , Gromit Chan , Eunyee Koh , Nesreen Ahmed

Recent experiments in neuroscience reveal that task-relevant variables are often encoded in approximately orthogonal subspaces of neural population activity. These disentangled, or abstract, representations have been observed in multiple…

Neurons and Cognition · Quantitative Biology 2026-03-16 Bin Wang , W. Jeffrey Johnston , Stefano Fusi

Understanding brain connectivity has become one of the most important issues in neuroscience. But connectivity data can reflect either the functional relationships of the brain activities or the anatomical properties between brain areas.…

Neurons and Cognition · Quantitative Biology 2015-04-13 Tiago Simas , Mario Chavez , Pablo Rodriguez , Albert Diaz-Guilera