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Most real world dynamic networks are evolved very fast with time. It is not feasible to collect the entire network at any given time to study its characteristics. This creates the need to propose local algorithms to study various properties…

Social and Information Networks · Computer Science 2017-06-13 Akrati Saxena , Ralucca Gera , S. R. S. Iyengar

In this paper, we provide a theory of using graph neural networks (GNNs) for multi-node representation learning (where we are interested in learning a representation for a set of more than one node, such as link). We know that GNN is…

Machine Learning · Computer Science 2022-01-19 Muhan Zhang , Pan Li , Yinglong Xia , Kai Wang , Long Jin

This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution of the rank of a randomly chosen node in the graph converges…

Probability · Mathematics 2014-10-14 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto

Graph Neural Networks (GNNs) have achieved remarkable performance in modeling graphs for various applications. However, most existing GNNs assume the graphs exhibit strong homophily in node labels, i.e., nodes with similar labels are…

Machine Learning · Computer Science 2023-02-20 Enyan Dai , Shijie Zhou , Zhimeng Guo , Suhang Wang

Image classification systems recently made a giant leap with the advancement of deep neural networks. However, these systems require an excessive amount of labeled data to be adequately trained. Gathering a correctly annotated dataset is…

Machine Learning · Computer Science 2021-01-19 Görkem Algan , Ilkay Ulusoy

Graph Neural Networks (GNNs) have shown their great ability in modeling graph structured data. However, real-world graphs usually contain structure noises and have limited labeled nodes. The performance of GNNs would drop significantly when…

Machine Learning · Computer Science 2022-07-26 Enyan Dai , Wei Jin , Hui Liu , Suhang Wang

Hierarchical classification problems are commonly seen in practice. However, most existing methods do not fully utilize the hierarchical information among class labels. In this paper, a novel label embedding approach is proposed, which…

Methodology · Statistics 2020-07-23 Yiwei Fan , Xiaoling Lu , Yufeng Liu , Junlong Zhao

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

A temporal graph is a graph in which edges are assigned a time label. Two nodes u and v of a temporal graph are connected one to the other if there exists a path from u to v with increasing edge time labels. We consider the problem of…

Data Structures and Algorithms · Computer Science 2023-04-04 Alkida Balliu , Filippo Brunelli , Pierluigi Crescenzi , Dennis Olivetti , Laurent Viennot

Graph neural networks can be effectively applied to find solutions for many real-world problems across widely diverse fields. The success of graph neural networks is linked to the message-passing mechanism on the graph, however, the…

Machine Learning · Computer Science 2022-01-06 Yan Pang , Chao Liu

In this paper, we study using graph neural networks (GNNs) for \textit{multi-node representation learning}, where a representation for a set of more than one node (such as a link) is to be learned. Existing GNNs are mainly designed to learn…

Machine Learning · Computer Science 2025-03-11 Xiyuan Wang , Pan Li , Muhan Zhang

The Steiner tree problem aims to determine a minimum edge-weighted tree that spans a given set of terminal vertices from a given graph. In the past decade, a considerable number of algorithms have been developed to solve this…

Data Structures and Algorithms · Computer Science 2024-08-23 Ming Sun , Xinyu Wu , Yi Zhou , Jin-Kao Hao , Zhang-Hua Fu

Graph neural networks have achieved state-of-the-art accuracy for graph node classification. However, GNNs are difficult to scale to large graphs, for example frequently encountering out-of-memory errors on even moderate size graphs. Recent…

Machine Learning · Computer Science 2022-10-26 Ziyuan Wang , Feiming Yang , Rui Fan

It was experimentally observed that the majority of real-world networks follow power law degree distribution. The aim of this paper is to study the algorithmic complexity of such "typical" networks. The contribution of this work is twofold.…

Data Structures and Algorithms · Computer Science 2015-07-10 Paweł Brach , Marek Cygan , Jakub Łącki , Piotr Sankowski

Many real-world networks have associated metadata that assigns categorical labels to nodes. Analysis of these annotations can complement the topological analysis of complex networks. Annotated networks have typically been used to evaluate…

Social and Information Networks · Computer Science 2025-05-30 Sung Soo Moon , Sebastian E. Ahnert

Complex networks have gained more attention from the last few years. The size of real-world complex networks, such as online social networks, WWW network, collaboration networks, is increasing exponentially with time. It is not feasible to…

Social and Information Networks · Computer Science 2019-10-08 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

Demand-aware communication networks are networks whose topology is optimized toward the traffic they need to serve. These networks have recently been enabled by novel optical communication technologies and are investigated intensively in…

Networking and Internet Architecture · Computer Science 2024-03-07 Maxim Buzdalov , Pavel Martynov , Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

We propose a novel approach for learning node representations in directed graphs, which maintains separate views or embedding spaces for the two distinct node roles induced by the directionality of the edges. We argue that the previous…

Social and Information Networks · Computer Science 2019-07-01 Megha Khosla , Jurek Leonhardt , Wolfgang Nejdl , Avishek Anand

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov