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Graph embedding methods embed the nodes in a graph in low dimensional vector space while preserving graph topology to carry out the downstream tasks such as link prediction, node recommendation and clustering. These tasks depend on a…

Machine Learning · Computer Science 2020-10-22 Ramanujam Madhavan , Mohit Wadhwa

Data-driven graph learning models a network by determining the strength of connections between its nodes. The data refers to a graph signal which associates a value with each graph node. Existing graph learning methods either use simplified…

Machine Learning · Computer Science 2020-11-05 Nafiseh Ghoroghchian , David M. Groppe , Roman Genov , Taufik A. Valiante , Stark C. Draper

We propose a family of lagged random walk sampling methods in simple undirected graphs, where transition to the next state (i.e. node) depends on both the current and previous states -- hence, lagged. The existing random walk sampling…

Statistics Theory · Mathematics 2022-05-16 Li-Chun Zhang

Graph embeddings are low dimensional representations of nodes, edges or whole graphs. Such representations allow for data in a network format to be used along with machine learning models for a variety of tasks (e.g., node classification),…

Social and Information Networks · Computer Science 2021-02-24 Kaléu Delphino

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Random walks are at the heart of many existing deep learning algorithms for graph data. However, such algorithms have many limitations that arise from the use of random walks, e.g., the features resulting from these methods are unable to…

Graph neural networks (GNNs) is widely used to learn a powerful representation of graph-structured data. Recent work demonstrates that transferring knowledge from self-supervised tasks to downstream tasks could further improve graph…

Machine Learning · Computer Science 2021-07-21 Xueting Han , Zhenhuan Huang , Bang An , Jing Bai

In this paper we consider the problem of graph-based transductive classification, and we are particularly interested in the directed graph scenario which is a natural form for many real world applications. Different from existing research…

Computer Vision and Pattern Recognition · Computer Science 2014-03-19 Jaydeep De , Xiaowei Zhang , Li Cheng

We introduce Attention Graphs, a new tool for mechanistic interpretability of Graph Neural Networks (GNNs) and Graph Transformers based on the mathematical equivalence between message passing in GNNs and the self-attention mechanism in…

Machine Learning · Computer Science 2025-02-26 Batu El , Deepro Choudhury , Pietro Liò , Chaitanya K. Joshi

Graph Neural Networks (GNNs) have become the state-of-the-art method for many applications on graph structured data. GNNs are a model for graph representation learning, which aims at learning to generate low dimensional node embeddings that…

Machine Learning · Computer Science 2022-05-23 Davide Buffelli , Fabio Vandin

Graph Neural Networks (GNNs) have emerged as a powerful technique for learning on relational data. Owing to the relatively limited number of message passing steps they perform -- and hence a smaller receptive field -- there has been…

Machine Learning · Computer Science 2022-06-27 Ameya Velingker , Ali Kemal Sinop , Ira Ktena , Petar Veličković , Sreenivas Gollapudi

Recent research has shown growing interest in modeling hypergraphs, which capture polyadic interactions among entities beyond traditional dyadic relations. However, most existing methodologies for hypergraphs face significant limitations,…

Methodology · Statistics 2025-11-04 Shihao Wu , Gongjun Xu , Ji Zhu

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

The space of graphs is often characterised by a non-trivial geometry, which complicates learning and inference in practical applications. A common approach is to use embedding techniques to represent graphs as points in a conventional…

Machine Learning · Statistics 2024-03-26 Daniele Grattarola , Daniele Zambon , Cesare Alippi , Lorenzo Livi

Graph-based learning is a rapidly growing sub-field of machine learning with applications in social networks, citation networks, and bioinformatics. One of the most popular models is graph attention networks. They were introduced to allow a…

Machine Learning · Computer Science 2023-05-23 Kimon Fountoulakis , Amit Levi , Shenghao Yang , Aseem Baranwal , Aukosh Jagannath

This paper proposes a novel model for predicting subgraphs in dynamic graphs, an extension of traditional link prediction. This proposed end-to-end model learns a mapping from the subgraph structures in the current snapshot to the subgraph…

Social and Information Networks · Computer Science 2021-08-18 Yuan Li , Chuanchang Chen , Yubo Tao , Hai Lin

This tutorial covers a few recent papers in the field of network embedding. Network embedding is a collective term for techniques for mapping graph nodes to vectors of real numbers in a multidimensional space. To be useful, a good embedding…

Social and Information Networks · Computer Science 2019-10-17 Boaz Shmueli

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

Machine Learning · Computer Science 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang

We introduce a general framework for leveraging graph stream data for temporal prediction-based applications. Our proposed framework includes novel methods for learning an appropriate graph time-series representation, modeling and weighting…

Machine Learning · Computer Science 2020-09-22 Di Jin , Sungchul Kim , Ryan A. Rossi , Danai Koutra

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani