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Recently, Graph Neural Networks (GNNs) have greatly advanced the task of graph classification. Typically, we first build a unified GNN model with graphs in a given training set and then use this unified model to predict labels of all the…

Machine Learning · Computer Science 2021-12-15 Yiqi Wang , Yao Ma , Wei Jin , Chaozhuo Li , Charu Aggarwal , Jiliang Tang

We propose a representation of graph as a functional object derived from the power iteration of the underlying adjacency matrix. The proposed functional representation is a graph invariant, i.e., the functional remains unchanged under any…

Machine Learning · Computer Science 2014-04-22 Anshumali Shrivastava , Ping Li

Graph Convolutional Networks (GCNs) are specialized neural networks for feature extraction from graph-structured data. In contrast to traditional convolutional networks, GCNs offer distinct advantages when processing irregular data, which…

Quantum Physics · Physics 2025-03-11 Zi Ye , Kai Yu , Song Lin

Quantum clock synchronization (QCS) aims to establish a shared temporal reference between distant nodes by exploiting uniquely quantum phenomena such as entanglement, single-photon interference, and quantum correlations. In contrast to…

We propose a novel neural network architecture, called autoencoder-constrained graph convolutional network, to solve node classification task on graph domains. As suggested by its name, the core of this model is a convolutional network…

Machine Learning · Computer Science 2021-02-11 Mingyuan Ma , Sen Na , Hongyu Wang

Gaussian processes (GPs) are an attractive class of machine learning models because of their simplicity and flexibility as building blocks of more complex Bayesian models. Meanwhile, graph neural networks (GNNs) emerged recently as a…

Machine Learning · Computer Science 2023-02-14 Zehao Niu , Mihai Anitescu , Jie Chen

The growing variety of quantum hardware technologies, each with unique peculiarities such as connectivity and native gate sets, creates challenges when selecting the best platform for executing a specific quantum circuit. This selection…

Quantum Physics · Physics 2026-01-29 Antonio Tudisco , Deborah Volpe , Giacomo Orlandi , Giovanna Turvani

A quantum graph $\mathcal{G}$ housed by a matrix algebra $M_n$ can be encoded as an operator system $\mathcal S=\mathcal{S}_{\mathcal{G}}\le M_n$. There are two sensible notions of quantum automorphism group for any such:…

Quantum Algebra · Mathematics 2025-11-18 Alexandru Chirvasitu , Piotr M. Sołtan , Mateusz Wasilewski

Real-world graphs or networks are usually heterogeneous, involving multiple types of nodes and relationships. Heterogeneous graph neural networks (HGNNs) can effectively handle these diverse nodes and edges, capturing heterogeneous…

Neural and Evolutionary Computing · Computer Science 2026-01-07 Buqing Cao , Qian Peng , Xiang Xie , Liang Chen , Min Shi , Jianxun Liu

Heterogeneous graphs are pervasive in practical scenarios, where each graph consists of multiple types of nodes and edges. Representation learning on heterogeneous graphs aims to obtain low-dimensional node representations that could…

Machine Learning · Computer Science 2021-01-01 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Weifeng Lv , Hui Xiong

This paper presents a novel graph-based kernel learning approach for connectome analysis. Specifically, we demonstrate how to leverage the naturally available structure within the graph representation to encode prior knowledge in the…

Image and Video Processing · Electrical Eng. & Systems 2022-02-23 Jun Yu , Zhaoming Kong , Aditya Kendre , Hao Peng , Carl Yang , Lichao Sun , Alex Leow , Lifang He

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Anomaly detection is a critical task in cybersecurity, where identifying insider threats, access violations, and coordinated attacks is essential for ensuring system resilience. Graph-based approaches have become increasingly important for…

Cryptography and Security · Computer Science 2026-03-31 Laura Jiang , Reza Ryan , Qian Li , Nasim Ferdosian

A quantum neural network (QNN) is a parameterized mapping efficiently implementable on near-term Noisy Intermediate-Scale Quantum (NISQ) computers. It can be used for supervised learning when combined with classical gradient-based…

Quantum Physics · Physics 2023-03-28 Xuchen You , Shouvanik Chakrabarti , Boyang Chen , Xiaodi Wu

Graph convolutional networks gain remarkable success in semi-supervised learning on graph structured data. The key to graph-based semisupervised learning is capturing the smoothness of labels or features over nodes exerted by graph…

Machine Learning · Computer Science 2020-08-03 Bingbing Xu , Huawei Shen , Qi Cao , Keting Cen , Xueqi Cheng

Graph Convolutional Networks (GCNs) have been extensively used to classify vertices in graphs and have been shown to outperform other vertex classification methods. GCNs have been extended to graph classification tasks (GCT). In GCT, graphs…

Machine Learning · Computer Science 2021-04-15 Omer Nagar , Shoval Frydman , Ori Hochman , Yoram Louzoun

Quantum walks are powerful kernels in quantum computing protocols that possess strong capabilities in speeding up various simulation and optimisation tasks. One striking example is given by quantum walkers evolving on glued trees for their…

This paper studies semi-supervised graph classification, a crucial task with a wide range of applications in social network analysis and bioinformatics. Recent works typically adopt graph neural networks to learn graph-level representations…

Machine Learning · Computer Science 2023-04-25 Wei Ju , Xiao Luo , Meng Qu , Yifan Wang , Chong Chen , Minghua Deng , Xian-Sheng Hua , Ming Zhang

The quantum convolutional neural network (QCNN) is a promising quantum machine learning (QML) model that is expected to achieve quantum advantages in classically intractable problems. However, the QCNN requires a large number of…

Quantum Physics · Physics 2024-05-07 Koki Chinzei , Quoc Hoan Tran , Kazunori Maruyama , Hirotaka Oshima , Shintaro Sato