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Resting-state functional MRI (rs-fMRI) in functional neuroimaging techniques have improved in brain disorders, dysfunction studies via mapping the topology of the brain connections, i.e. connectopic mapping. Since, there are the slight…

Image and Video Processing · Electrical Eng. & Systems 2019-07-18 Jalal Mirakhorli , Hamidreza Amindavar , Mojgan Mirakhorli

Graph-based representations play a key role in machine learning. The fundamental step in these representations is the association of a graph structure to a dataset. In this paper, we propose a method that aims at finding a block sparse…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Stefania Sardellitti , Sergio Barbarossa , Paolo Di Lorenzo

Graph representation learning is a fast-growing field where one of the main objectives is to generate meaningful representations of graphs in lower-dimensional spaces. The learned embeddings have been successfully applied to perform various…

Machine Learning · Computer Science 2021-12-21 Md. Khaledur Rahman , Ariful Azad

The space of graphs is often characterised by a non-trivial geometry, which complicates learning and inference in practical applications. A common approach is to use embedding techniques to represent graphs as points in a conventional…

Machine Learning · Statistics 2024-03-26 Daniele Grattarola , Daniele Zambon , Cesare Alippi , Lorenzo Livi

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang

Hyperbolic Neural Networks (HNNs), operating in hyperbolic space, have been widely applied in recent years, motivated by the existence of an optimal embedding in hyperbolic space that can preserve data hierarchical relationships (termed…

Machine Learning · Computer Science 2024-02-06 Shicheng Tan , Huanjing Zhao , Shu Zhao , Yanping Zhang

Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina

Recently, hyperbolic space has risen as a promising alternative for semi-supervised graph representation learning. Many efforts have been made to design hyperbolic versions of neural network operations. However, the inspiring geometric…

Machine Learning · Computer Science 2022-01-24 Jiahong Liu , Menglin Yang , Min Zhou , Shanshan Feng , Philippe Fournier-Viger

Detecting events and their evolution through time is a crucial task in natural language understanding. Recent neural approaches to event temporal relation extraction typically map events to embeddings in the Euclidean space and train a…

Computation and Language · Computer Science 2024-06-11 Xingwei Tan , Gabriele Pergola , Yulan He

Hyperbolic models are known to produce networks with properties observed empirically in most network datasets, including heavy-tailed degree distribution, high clustering, and hierarchical structures. As a result, several embeddings…

Computation · Statistics 2025-05-16 Simon Lizotte , Jean-Gabriel Young , Antoine Allard

This paper introduces an end-to-end residual network that operates entirely on the Poincar\'e ball model of hyperbolic space. Hyperbolic learning has recently shown great potential for visual understanding, but is currently only performed…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Max van Spengler , Erwin Berkhout , Pascal Mettes

In clinical neuroscience, epileptic seizures have been associated with the sudden emergence of coupled activity across the brain. The resulting functional networks - in which edges indicate strong enough coupling between brain regions - are…

Applications · Statistics 2021-02-25 Xiaojing Zhu , Heather Shappell , Mark A. Kramer , Catherine J. Chu , Eric D. Kolaczyk

The use of Variational Autoencoders in different Machine Learning tasks has drastically increased in the last years. They have been developed as denoising, clustering and generative tools, highlighting a large potential in a wide range of…

Machine Learning · Computer Science 2019-07-12 Helena Andrés-Terré , Pietro Lió

Identifying unusual brain activity is a crucial task in neuroscience research, as it aids in the early detection of brain disorders. It is common to represent brain networks as graphs, and researchers have developed various graph-based…

Machine Learning · Computer Science 2024-10-04 Sadaf Sadeghian , Xiaoxiao Li , Margo Seltzer

Most of the existing literature regarding hyperbolic embedding concentrate upon supervised learning, whereas the use of unsupervised hyperbolic embedding is less well explored. In this paper, we analyze how unsupervised tasks can benefit…

Machine Learning · Computer Science 2021-03-31 Jiwoong Park , Junho Cho , Hyung Jin Chang , Jin Young Choi

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

In light of the inherent entailment relations between images and text, hyperbolic point vector embeddings, leveraging the hierarchical modeling advantages of hyperbolic space, have been utilized for visual semantic representation learning.…

Artificial Intelligence · Computer Science 2024-08-21 Zhi Qiao , Linbin Han , Xiantong Zhen , Jia-Hong Gao , Zhen Qian

Most real-world datasets consist of a natural hierarchy between classes or an inherent label structure that is either already available or can be constructed cheaply. However, most existing representation learning methods ignore this…

Machine Learning · Computer Science 2024-12-03 Aditya Sinha , Siqi Zeng , Makoto Yamada , Han Zhao

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Effective analysis in neuroscience benefits significantly from robust conceptual frameworks. Traditional metrics of interbrain synchrony in social neuroscience typically depend on fixed, correlation-based approaches, restricting their…

Neurons and Cognition · Quantitative Biology 2025-12-01 Nicolás Hinrichs , Noah Guzmán , Melanie Weber