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Random walks on graphs can be slow. To speed them up, imagine that at each step instead of choosing the neighbor at random, there is a small probability $\varepsilon>0$ that we can choose it. We show that in this case, at least for graphs…

Probability · Mathematics 2026-05-19 Boris Bukh , Quentin Dubroff

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

Computation and Language · Computer Science 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

Successful machine learning on graphs or networks requires embeddings that not only represent nodes and edges as low-dimensional vectors but also preserve the graph structure. Established methods for generating embeddings require flexible…

Machine Learning · Computer Science 2026-04-13 Aishwarya Sarkar , Sayan Ghosh , Nathan R. Tallent , Ali Jannesari

Hypergraphs provide a fundamental framework for representing complex systems involving interactions among three or more entities. As empirical hypergraphs grow in size, characterizing their structural properties becomes increasingly…

Social and Information Networks · Computer Science 2025-06-04 Kazuki Nakajima , Masanao Kodakari , Masaki Aida

Recent work has initiated the study of dense graph processing using graph sketching methods, which drastically reduce space costs by lossily compressing information about the input graph. In this paper, we explore the strange and surprising…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 David Tench , Evan T. West , Kenny Zhang , Michael Bender , Daniel DeLayo , Martin Farach-Colton , Gilvir Gill , Tyler Seip , Victor Zhang

Graph-structured data such as social networks, functional brain networks, gene regulatory networks, communications networks have brought the interest in generalizing deep learning techniques to graph domains. In this paper, we are…

Machine Learning · Computer Science 2018-04-25 Xavier Bresson , Thomas Laurent

The subgraph-centric programming model is a promising approach and has been applied in many state-of-the-art distributed graph computing frameworks. However, traditional graph partition algorithms have significant difficulties in processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-08 Shuai Zhang , Zite Jiang , Xingzhong Hou , Zhen Guan , Mengting Yuan , Haihang You

Representation learning of static and more recently dynamically evolving graphs has gained noticeable attention. Existing approaches for modelling graph dynamics focus extensively on the evolution of individual nodes independently of the…

Machine Learning · Computer Science 2021-05-12 Simeon Spasov , Alessandro Di Stefano , Pietro Lio , Jian Tang

Graph processing systems are important in the big data domain. However, processing graphs in parallel often introduces redundant computations in existing algorithms and models. Prior work has proposed techniques to optimize redundancies for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-01 Shuang Song , Xu Liu , Qinzhe Wu , Andreas Gerstlauer , Tao Li , Lizy K. John

Graph embedding techniques are a staple of modern graph learning research. When using embeddings for downstream tasks such as classification, information about their stability and robustness, i.e., their susceptibility to sources of noise,…

Machine Learning · Computer Science 2022-08-22 Celia Hacker , Bastian Rieck

Graph randomisation is a crucial task in the analysis and synthesis of networks. It is typically implemented as an edge switching process (ESMC) repeatedly swapping the nodes of random edge pairs while maintaining the degrees involved.…

Data Structures and Algorithms · Computer Science 2018-08-20 Corrie Jacobien Carstens , Michael Hamann , Ulrich Meyer , Manuel Penschuck , Hung Tran , Dorothea Wagner

Networks have become indispensable and ubiquitous structures in many fields to model the interactions among different entities, such as friendship in social networks or protein interactions in biological graphs. A major challenge is to…

Machine Learning · Computer Science 2022-12-26 Abdulkadir Çelikkanat , Nikolaos Nakis , Morten Mørup

Existing approaches for graph neural networks commonly suffer from the oversmoothing issue, regardless of how neighborhoods are aggregated. Most methods also focus on transductive scenarios for fixed graphs, leading to poor generalization…

Machine Learning · Computer Science 2020-06-25 Kyuyong Shin , Wonyoung Shin , Jung-Woo Ha , Sunyoung Kwon

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

Kemeny constant, defined as the expected hitting time of random walks from a source node to a randomly chosen target node, is a fundamental metric in graph data management with many real-world applications. However, computing it exactly on…

Data Structures and Algorithms · Computer Science 2025-11-21 Cheng Li , Meihao Liao , Rong-Hua Li , Guoren Wang

We present distributed algorithms for training dynamic Graph Neural Networks (GNN) on large scale graphs spanning multi-node, multi-GPU systems. To the best of our knowledge, this is the first scaling study on dynamic GNN. We devise…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-17 Venkatesan T. Chakaravarthy , Shivmaran S. Pandian , Saurabh Raje , Yogish Sabharwal , Toyotaro Suzumura , Shashanka Ubaru

We present Walklets, a novel approach for learning multiscale representations of vertices in a network. In contrast to previous works, these representations explicitly encode multiscale vertex relationships in a way that is analytically…

Social and Information Networks · Computer Science 2017-06-27 Bryan Perozzi , Vivek Kulkarni , Haochen Chen , Steven Skiena

Analyzing the temporal behavior of nodes in time-varying graphs is useful for many applications such as targeted advertising, community evolution and outlier detection. In this paper, we present a novel approach, STWalk, for learning…

Social and Information Networks · Computer Science 2017-11-15 Supriya Pandhre , Himangi Mittal , Manish Gupta , Vineeth N Balasubramanian

Knowledge graph embedding approaches represent nodes and edges of graphs as mathematical vectors. Current approaches focus on embedding complete knowledge graphs, i.e. all nodes and edges. This leads to very high computational requirements…

Artificial Intelligence · Computer Science 2020-09-18 Jan Portisch , Michael Hladik , Heiko Paulheim

As an alternative to traditional fault injection-based methodologies and to explore the applicability of modern machine learning algorithms in the field of reliability engineering, this paper proposes a systemic framework that explores…

Hardware Architecture · Computer Science 2021-04-06 Aneesh Balakrishnan , Thomas Lange , Maximilien Glorieux , Dan Alexandrescu , Maksim Jenihhin