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We consider a statistical model for the problem of finding subgraphs with specified topology in an otherwise random graph. This task plays an important role in the analysis of social and biological networks. In these types of networks,…

Statistics Theory · Mathematics 2017-10-24 Hamid Javadi , Andrea Montanari

GraphRT is a graph based deep learning model that predicts the retention time (RT) of peptides in liquid chromatography tandem mass spectrometry (LC MSMS) experiments. Each amino acid is represented as a graph, capturing its atomic and…

Biomolecules · Quantitative Biology 2024-02-06 Mark Drvodelic , Mingming Gong , Andrew I. Webb

Localizing the source of graph diffusion phenomena, such as misinformation propagation, is an important yet extremely challenging task. Existing source localization models typically are heavily dependent on the hand-crafted rules.…

Social and Information Networks · Computer Science 2022-06-22 Junxiang Wang , Junji Jiang , Liang Zhao

We study graph classes modeled by families of non-crossing (NC) connected sets. Two classic graph classes in this context are disk graphs and proper interval graphs. We focus on the cases when the sets are paths and the host is a tree…

Discrete Mathematics · Computer Science 2020-08-18 Steven Chaplick

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

Machine Learning · Computer Science 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

A locally surjective homomorphism from a graph $G$ to a graph $H$ is an edge-preserving mapping from $V(G)$ to $V(H)$ that is surjective in the neighborhood of each vertex in $G$. In the list locally surjective homomorphism problem, denoted…

Data Structures and Algorithms · Computer Science 2024-01-11 Pavel Dvořák , Monika Krawczyk , Tomáš Masařík , Jana Novotná , Paweł Rzążewski , Aneta Żuk

Random graphs with latent geometric structure are popular models of social and biological networks, with applications ranging from network user profiling to circuit design. These graphs are also of purely theoretical interest within…

Probability · Mathematics 2020-08-04 Matthew Brennan , Guy Bresler , Dheeraj Nagaraj

Existing Graph Neural Networks (GNNs) usually assume a balanced situation where both the class distribution and the node degree distribution are balanced. However, in real-world situations, we often encounter cases where a few classes…

Machine Learning · Computer Science 2022-09-09 Sukwon Yun , Kibum Kim , Kanghoon Yoon , Chanyoung Park

We present a method for learning "spectrally descriptive" edge weights for graphs. We generalize a previously known distance measure on graphs (Graph Diffusion Distance), thereby allowing it to be tuned to minimize an arbitrary loss…

Machine Learning · Computer Science 2021-07-01 Cory Braker Scott , Eric Mjolsness , Diane Oyen , Chie Kodera , David Bouchez , Magalie Uyttewaal

Among various spatio-temporal prediction tasks, epidemic forecasting plays a critical role in public health management. Recent studies have demonstrated the strong potential of spatio-temporal graph neural networks (STGNNs) in extracting…

Machine Learning · Computer Science 2025-12-30 Yufan Zheng , Wei Jiang , Tong Chen , Alexander Zhou , Nguyen Quoc Viet Hung , Choujun Zhan , Hongzhi Yin

A cycle-transversal of a graph G is a subset T of V(G) such that T intersects every cycle of G. A clique cycle-transversal, or cct for short, is a cycle-transversal which is a clique. Recognizing graphs which admit a cct can be done in…

Discrete Mathematics · Computer Science 2013-02-08 Andreas Brandstädt , Simone Esposito , Loana Tito Nogueira , Fábio Protti

Heterogeneous graph neural networks (HGNs) are prominent approaches to node classification tasks on heterogeneous graphs. Despite the superior performance, insights about the predictions made from HGNs are obscure to humans. Existing…

Machine Learning · Computer Science 2023-12-27 Tong Li , Jiale Deng , Yanyan Shen , Luyu Qiu , Yongxiang Huang , Caleb Chen Cao

Heterogeneous graph convolutional networks have gained great popularity in tackling various network analytical tasks on heterogeneous network data, ranging from link prediction to node classification. However, most existing works ignore the…

Social and Information Networks · Computer Science 2022-08-15 Pengyang Yu , Chaofan Fu , Yanwei Yu , Chao Huang , Zhongying Zhao , Junyu Dong

Hypergraphs play a pivotal role in the modelling of data featuring higher-order relations involving more than two entities. Hypergraph neural networks emerge as a powerful tool for processing hypergraph-structured data, delivering…

Machine Learning · Computer Science 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

Discrete Mathematics · Computer Science 2017-09-15 Atsushi Yokoyama

In real-world applications, it is often expensive and time-consuming to obtain labeled examples. In such cases, knowledge transfer from related domains, where labels are abundant, could greatly reduce the need for extensive labeling…

Machine Learning · Computer Science 2018-12-10 Marouan Belhaj , Pavlos Protopapas , Weiwei Pan

Background: Representing biological networks as graphs is a powerful approach to reveal underlying patterns, signatures, and critical components from high-throughput biomolecular data. However, graphs do not natively capture the multi-way…

The hereditary discrepancy of a set system is a certain quantitative measure of the pseudorandom properties of the system. Roughly, hereditary discrepancy measures how well one can $2$-color the elements of the system so that each set…

Data Structures and Algorithms · Computer Science 2024-04-23 Greg Bodwin , Chengyuan Deng , Jie Gao , Gary Hoppenworth , Jalaj Upadhyay , Chen Wang

Representation learning on heterogeneous graphs aims to obtain meaningful node representations to facilitate various downstream tasks, such as node classification and link prediction. Existing heterogeneous graph learning methods are…

Machine Learning · Computer Science 2022-04-19 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Weifeng Lv , Hui Xiong

Community detection has long been an important yet challenging task to analyze complex networks with a focus on detecting topological structures of graph data. Essentially, real-world graph data contains various features, node and edge…

Machine Learning · Computer Science 2020-03-16 Yaping Zheng , Shiyi Chen , Xinni Zhang , Xiaofeng Zhang , Xiaofei Yang , Di Wang
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