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In previous studies, decoding electroencephalography (EEG) signals has not considered the topological relationship of EEG electrodes. However, the latest neuroscience has suggested brain network connectivity. Thus, the exhibited interaction…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Shuyue Jia , Yimin Hou , Yan Shi , Yang Li

Graphs are a representation of structured data that captures the relationships between sets of objects. With the ubiquity of available network data, there is increasing industrial and academic need to quickly analyze graphs with billions of…

Machine Learning · Computer Science 2023-07-28 Brandon Mayer , Anton Tsitsulin , Hendrik Fichtenberger , Jonathan Halcrow , Bryan Perozzi

The objective of knowledge graph embedding is to encode both entities and relations of knowledge graphs into continuous low-dimensional vector spaces. Previously, most works focused on symbolic representation of knowledge graph with…

Computation and Language · Computer Science 2016-12-14 Jiacheng Xu , Kan Chen , Xipeng Qiu , Xuanjing Huang

Graph are a ubiquitous data representation, as they represent a flexible and compact representation. For instance, the 3D structure of RNA can be efficiently represented as $\textit{2.5D graphs}$, graphs whose nodes are nucleotides and…

Machine Learning · Computer Science 2021-09-21 Vincent Mallet , Carlos G. Oliver , William L. Hamilton

Graphs arise naturally in many real-world applications including social networks, recommender systems, ontologies, biology, and computational finance. Traditionally, machine learning models for graphs have been mostly designed for static…

Machine Learning · Computer Science 2020-04-28 Seyed Mehran Kazemi , Rishab Goel , Kshitij Jain , Ivan Kobyzev , Akshay Sethi , Peter Forsyth , Pascal Poupart

The exploitation of graph structures is the key to effectively learning representations of nodes that preserve useful information in graphs. A remarkable property of graph is that a latent hierarchical grouping of nodes exists in a global…

Artificial Intelligence · Computer Science 2021-11-02 Lu Lin , Ethan Blaser , Hongning Wang

A hypergraph is a data structure composed of nodes and hyperedges, where each hyperedge is an any-sized subset of nodes. Due to the flexibility in hyperedge size, hypergraphs represent group interactions (e.g., co-authorship by more than…

Social and Information Networks · Computer Science 2023-06-06 Minyoung Choe , Sunwoo Kim , Jaemin Yoo , Kijung Shin

A recent publication provides the network graph for a neocortical microcircuit comprising 8 million connections between 31,000 neurons (H. Markram, et al., Reconstruction and simulation of neocortical microcircuitry, Cell, 163 (2015) no. 2,…

Neurons and Cognition · Quantitative Biology 2017-06-13 Pawe Dotko , Kathryn Hess , Ran Levi , Max Nolte , Michael Reimann , Martina Scolamiero , Katharine Turner , Eilif Muller , Henry Markram

Invertible transformation of large graphs into fixed dimensional vectors (embeddings) remains a challenge. Its overcoming would reduce any operation on graphs to an operation in a vector space. However, most existing methods are limited to…

Machine Learning · Computer Science 2022-07-12 Adam Małkowski , Jakub Grzechociński , Paweł Wawrzyński

The recent proliferation of publicly available graph-structured data has sparked an interest in machine learning algorithms for graph data. Since most traditional machine learning algorithms assume data to be tabular, embedding algorithms…

Machine Learning · Computer Science 2019-08-09 Sourav Mukherjee , Tim Oates , Ryan Wright

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

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

The human brain can be considered to be a graphical structure comprising of tens of billions of biological neurons connected by synapses. It has the remarkable ability to automatically re-route information flow through alternate paths in…

Machine Learning · Computer Science 2022-08-26 Hang Li , Qadeer Khan , Volker Tresp , Daniel Cremers

How to properly model graphs is a long-existing and important problem in NLP area, where several popular types of graphs are knowledge graphs, semantic graphs and dependency graphs. Comparing with other data structures, such as sequences…

Computation and Language · Computer Science 2019-07-16 Linfeng Song

One practice of employing deep neural networks is to apply the same architecture to all the input instances. However, a fixed architecture may not be representative enough for data with high diversity. To promote the model capacity,…

Computer Vision and Pattern Recognition · Computer Science 2020-10-05 Kun Yuan , Quanquan Li , Dapeng Chen , Aojun Zhou , Junjie Yan

Molecular activity prediction is critical in drug design. Machine learning techniques such as kernel methods and random forests have been successful for this task. These models require fixed-size feature vectors as input while the molecules…

Machine Learning · Computer Science 2018-01-30 Trang Pham , Truyen Tran , Svetha Venkatesh

Graph Transformer shows remarkable potential in brain network analysis due to its ability to model graph structures and complex node relationships. Most existing methods typically model the brain as a flat network, ignoring its modular…

Machine Learning · Computer Science 2025-11-25 Jiajun Ma , Yongchao Zhang , Chao Zhang , Zhao Lv , Shengbing Pei

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

Lots of neural network architectures have been proposed to deal with learning tasks on graph-structured data. However, most of these models concentrate on only node features during the learning process. The edge features, which usually play…

Machine Learning · Computer Science 2021-01-20 Jun Chen , Haopeng Chen

Node role explainability in complex networks is very difficult, yet is crucial in different application domains such as social science, neurosciences or computer science. Many efforts have been made on the quantification of hubs revealing…

Neurons and Cognition · Quantitative Biology 2023-02-01 Lucrezia Carboni , Michel Dojat , Sophie Achard