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This work provides the first unifying theoretical framework for node (positional) embeddings and structural graph representations, bridging methods like matrix factorization and graph neural networks. Using invariant theory, we show that…

Machine Learning · Computer Science 2020-09-23 Balasubramaniam Srinivasan , Bruno Ribeiro

Neural encoding and decoding, which aim to characterize the relationship between stimuli and brain activities, have emerged as an important area in cognitive neuroscience. Traditional encoding models, which focus on feature extraction and…

Neurons and Cognition · Quantitative Biology 2019-08-26 Hao Wu , Ziyu Zhu , Jiayi Wang , Nanning Zheng , Badong Chen

The characterisation of the brain as a "connectome", in which the connections are represented by correlational values across timeseries and as summary measures derived from graph theory analyses, has been very popular in the last years.…

Machine Learning · Computer Science 2020-03-13 Tiago Azevedo , Luca Passamonti , Pietro Liò , Nicola Toschi

Encoding facts as representations of entities and binary relationships between them, as learned by knowledge graph representation models, is useful for various tasks, including predicting new facts, question answering, fact checking and…

Machine Learning · Computer Science 2022-02-01 Ivana Balažević

Functional connectome extends the anatomical connectome by capturing the relations between neurons according to their activity and interactions. When these relations are causal, the functional connectome maps how neural activity flows…

Neurons and Cognition · Quantitative Biology 2020-11-10 Rahul Biswas , Eli Shlizerman

Unraveling how macroscopic cognitive phenotypes emerge from microscopic neuronal connectivity remains one of the core pursuits of neuroscience. To this end, researchers typically leverage multi-modal information from structural connectivity…

Artificial Intelligence · Computer Science 2026-02-03 Tianhao Huang , Guanghui Min , Zhenyu Lei , Aiying Zhang , Chen Chen

The human brain is a complex, dynamic network, which is commonly studied using functional magnetic resonance imaging (fMRI) and modeled as network of Regions of interest (ROIs) for understanding various brain functions. Recent studies…

Quantitative Methods · Quantitative Biology 2024-06-26 Yifan Yang , Yutong Mao , Xufu Liu , Xiao Liu

Graphs are a natural representation of brain activity derived from functional magnetic imaging (fMRI) data. It is well known that clusters of anatomical brain regions, known as functional connectivity networks (FCNs), encode temporal…

Machine Learning · Computer Science 2023-01-30 Alexander Campbell , Simeon Spasov , Nicola Toschi , Pietro Lio

The brain can be regarded as a network: a connected system where nodes, or units, represent different specialized regions and links, or connections, represent communication pathways. From a functional perspective communication is coded by…

Neurons and Cognition · Quantitative Biology 2014-09-10 Fabrizio De Vico Fallani , Jonas Richiardi , Mario Chavez , Sophie Achard

Understanding the human brain remains the Holy Grail in biomedical science, and arguably in all of the sciences. Our brains represent the most complex systems in the world (and some contend the universe) comprising nearly one hundred…

Quantitative Methods · Quantitative Biology 2016-02-03 Sean L. Simpson , Paul J. Laurienti

State-of-the-art brain graph analysis methods fail to fully encode the small-world architecture of brain graphs (accompanied by the presence of hubs and functional modules), and therefore lack biological plausibility to some extent. This…

Machine Learning · Computer Science 2025-02-14 Ciyuan Peng , Yuelong Huang , Qichao Dong , Shuo Yu , Feng Xia , Chengqi Zhang , Yaochu Jin

This article focuses on the problem of studying shared- and individual-specific structure in replicated networks or graph-valued data. In particular, the observed data consist of $n$ graphs, $G_i, i=1,\ldots,n$, with each graph consisting…

Computation · Statistics 2018-04-13 Lu Wang , Zhengwu Zhang , David Dunson

Graph similarity measurement, which computes the distance/similarity between two graphs, arises in various graph-related tasks. Recent learning-based methods lack interpretability, as they directly transform interaction information between…

Machine Learning · Computer Science 2022-09-19 Zixun Lan , Binjie Hong , Ye Ma , Fei Ma

We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension reduction to network response dynamics evoked by stimuli applied…

Neurons and Cognition · Quantitative Biology 2017-11-02 Hexuan Liu , Jimin Kim , Eli Shlizerman

Objective: New measures of human brain connectivity are needed to address gaps in the existing measures and facilitate the study of brain function, cognitive capacity, and identify early markers of human disease. Traditional approaches to…

Neurons and Cognition · Quantitative Biology 2023-08-28 Cooper J. Mellema , Albert Montillo

Computing latent representations for graph-structured data is an ubiquitous learning task in many industrial and academic applications ranging from molecule synthetization to social network analysis and recommender systems. Knowledge graphs…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Victor Caceres Chian , Marcel Hildebrandt , Thomas Runkler , Dominik Dold

Automatic segmentation of fine-grained brain structures remains a challenging task. Current segmentation methods mainly utilize 2D and 3D deep neural networks. The 2D networks take image slices as input to produce coarse segmentation in…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Yuemeng Li , Hangfan Liu , Hongming Li , Yong Fan

Recent works on representation learning for graph structured data predominantly focus on learning distributed representations of graph substructures such as nodes and subgraphs. However, many graph analytics tasks such as graph…

Artificial Intelligence · Computer Science 2017-07-18 Annamalai Narayanan , Mahinthan Chandramohan , Rajasekar Venkatesan , Lihui Chen , Yang Liu , Shantanu Jaiswal

We show that viewing graphs as sets of node features and incorporating structural and positional information into a transformer architecture is able to outperform representations learned with classical graph neural networks (GNNs). Our…

Machine Learning · Computer Science 2021-06-11 Grégoire Mialon , Dexiong Chen , Margot Selosse , Julien Mairal

Textual graphs are ubiquitous in real-world applications, featuring rich text information with complex relationships, which enables advanced research across various fields. Textual graph representation learning aims to generate…

Machine Learning · Computer Science 2024-08-22 Wenbin Hu , Huihao Jing , Qi Hu , Haoran Li , Yangqiu Song
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