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Graph Convolutional Networks (GCNs) have emerged as powerful tools for learning on network structured data. Although empirically successful, GCNs exhibit certain behaviour that has no rigorous explanation -- for instance, the performance of…

Machine Learning · Computer Science 2023-11-07 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

This paper explores the applications and challenges of graph neural networks (GNNs) in processing complex graph data brought about by the rapid development of the Internet. Given the heterogeneity and redundancy problems that graph data…

Machine Learning · Computer Science 2024-10-24 Jianjun Wei , Yue Liu , Xin Huang , Xin Zhang , Wenyi Liu , Xu Yan

Graph embeddings have become a key and widely used technique within the field of graph mining, proving to be successful across a broad range of domains including social, citation, transportation and biological. Graph embedding techniques…

Machine Learning · Computer Science 2018-06-21 Stephen Bonner , Ibad Kureshi , John Brennan , Georgios Theodoropoulos , Andrew Stephen McGough , Boguslaw Obara

Kernel methods are of current interest in quantum machine learning due to similarities with quantum computing in how they process information in high-dimensional feature (Hilbert) spaces. Kernels are believed to offer particular advantages…

Quantum Physics · Physics 2024-04-03 Carolyn Wood , Sally Shrapnel , G J Milburn

Advances in classical machine learning and single-cell technologies have paved the way to understand interactions between disease cells and tumor microenvironments to accelerate therapeutic discovery. However, challenges in these machine…

Quantum Physics · Physics 2023-10-18 Anupama Ray , Dhiraj Madan , Srushti Patil , Maria Anna Rapsomaniki , Pushpak Pati

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely connected structures with applications to bio-informatics and social…

Data Structures and Algorithms · Computer Science 2020-02-04 Seyed-Vahid Sanei-Mehri , Apurba Das , Srikanta Tirthapura

Deep representation learning on non-Euclidean data types, such as graphs, has gained significant attention in recent years. Invent of graph neural networks has improved the state-of-the-art for both node and the entire graph representation…

Machine Learning · Computer Science 2020-06-09 Sambaran Bandyopadhyay , Manasvi Aggarwal , M. Narasimha Murty

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

This paper studies learning the representations of whole graphs in both unsupervised and semi-supervised scenarios. Graph-level representations are critical in a variety of real-world applications such as predicting the properties of…

Machine Learning · Computer Science 2020-01-20 Fan-Yun Sun , Jordan Hoffmann , Vikas Verma , Jian Tang

We introduce in this paper the mechanism of graph random features (GRFs). GRFs can be used to construct unbiased randomized estimators of several important kernels defined on graphs' nodes, in particular the regularized Laplacian kernel. As…

Machine Learning · Computer Science 2023-05-02 Krzysztof Choromanski

Graphs are a fundamental representation of complex, nonlinear structured data across various domains, including social networks and quantum systems. Quantum Graph Recurrent Neural Networks (QGRNNs) have been proposed to model quantum…

Quantum Physics · Physics 2025-07-01 Jawaher Kaldari , Saif Al-Kuwari

Recently, efforts have been made in the community to design new Graph Neural Networks (GNN), as limitations of Message Passing Neural Networks became more apparent. This led to the appearance of Graph Transformers using global graph…

Quantum Physics · Physics 2022-10-20 Slimane Thabet , Romain Fouilland , Loic Henriet

Graph embedding techniques are useful to characterize spectral signature relations for hyperspectral images. However, such images consists of disjoint classes due to spatial details that are often ignored by existing graph computing tools.…

Computer Vision and Pattern Recognition · Computer Science 2012-11-29 Dalton Lunga 'and' Okan Ersoy

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

The functional characterization of different neuronal types has been a longstanding and crucial challenge. With the advent of physical quantum computers, it has become possible to apply quantum machine learning algorithms to translate…

Quantum Physics · Physics 2025-02-11 Xavier Vasques , Hanhee Paik , Laura Cif

In this paper, we propose a new model to learn Adaptive Kernel-based Representations (AKBR) for graph classification. Unlike state-of-the-art R-convolution graph kernels that are defined by merely counting any pair of isomorphic…

Machine Learning · Computer Science 2024-08-14 Feifei Qian , Lixin Cui , Ming Li , Yue Wang , Hangyuan Du , Lixiang Xu , Lu Bai , Philip S. Yu , Edwin R. Hancock

In this work, we explore graph partitioning (GP) using quantum annealing on the D-Wave 2X machine. Motivated by a recently proposed graph-based electronic structure theory applied to quantum molecular dynamics (QMD) simulations, graph…

Quantum Physics · Physics 2017-05-10 Hayato Ushijima-Mwesigwa , Christian F. A. Negre , Susan M. Mniszewski