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Autoencoders are effective deep learning models that can function as generative models and learn latent representations for downstream tasks. The use of graph autoencoders - with both encoder and decoder implemented as message passing…

Machine Learning · Computer Science 2025-03-04 Magnus Cunow , Gerrit Großmann

Distances in a network capture relations between nodes and are the basis of centrality, similarity, and influence measures. Often, however, the relevance of a node $u$ to a node $v$ is more precisely measured not by the magnitude of the…

Social and Information Networks · Computer Science 2016-02-25 Eliav Buchnik , Edith Cohen

We present a framework for using transformer networks as universal computers by programming them with specific weights and placing them in a loop. Our input sequence acts as a punchcard, consisting of instructions and memory for data…

Machine Learning · Computer Science 2023-01-31 Angeliki Giannou , Shashank Rajput , Jy-yong Sohn , Kangwook Lee , Jason D. Lee , Dimitris Papailiopoulos

We study online robust matrix completion on graphs. At each iteration a vector with some entries missing is revealed and our goal is to reconstruct it by identifying the underlying low-dimensional subspace from which the vectors are drawn.…

Information Theory · Computer Science 2016-05-16 Symeon Chouvardas , Mohammed Amin Abdullah , Lucas Claude , Moez Draief

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We propose a graph-oriented attention-based explainability method for tabular data. Tasks involving tabular data have been solved mostly using traditional tree-based machine learning models which have the challenges of feature selection and…

Machine Learning · Computer Science 2024-06-05 Andrea Treviño Gavito , Diego Klabjan , Jean Utke

Many modern data analytics applications on graphs operate on domains where graph topology is not known a priori, and hence its determination becomes part of the problem definition, rather than serving as prior knowledge which aids the…

Information Theory · Computer Science 2020-01-03 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Milos Brajovic , Bruno Scalzo , Shengxi Li , Anthony G. Constantinides

In this paper, we revisit a well-known distributed projected subgradient algorithm which aims to minimize a sum of cost functions with a common set constraint. In contrast to most of existing results, weight matrices of the time-varying…

Optimization and Control · Mathematics 2021-04-29 Weijian Li , Zihan Chen , Youcheng Lou , Yiguang Hong

This tutorial paper refers to the use of graph-theoretic concepts for analyzing brain signals. For didactic purposes it splits into two parts: theory and application. In the first part, we commence by introducing some basic elements from…

Neurons and Cognition · Quantitative Biology 2020-07-14 Nikolaos Laskaris , Dimitrios A. Adamos , Anastasios Bezerianos

In this paper, we propose Graph Retention Networks (GRNs) as a unified architecture for deep learning on dynamic graphs. The GRN extends the concept of retention into dynamic graph data as graph retention, equipping the model with three key…

Machine Learning · Computer Science 2026-04-14 Qian Chang , Xia Li , Xiufeng Cheng , Runsong Jia , Jinqing Yang , Guoping Hu , Ciprian Doru Giurcaneanu

We consider the task of drawing a graph on multiple horizontal layers, where each node is assigned a layer, and each edge connects nodes of different layers. Known algorithms determine the orders of nodes on each layer to minimize crossings…

Data Structures and Algorithms · Computer Science 2025-03-03 Alexander Dobler , Jakob Roithinger

Subgraph matching is vital in knowledge graph (KG) question answering, molecule design, scene graph, code and circuit search, etc. Neural methods have shown promising results for subgraph matching. Our study of recent systems suggests…

Machine Learning · Computer Science 2025-10-28 Vaibhav Raj , Indradyumna Roy , Ashwin Ramachandran , Soumen Chakrabarti , Abir De

Graph neural network, as a powerful graph representation technique based on deep learning, has shown superior performance and attracted considerable research interest. However, it has not been fully considered in graph neural network for…

Social and Information Networks · Computer Science 2021-01-21 Xiao Wang , Houye Ji , Chuan Shi , Bai Wang , Peng Cui , P. Yu , Yanfang Ye

Recently, graph neural networks have attracted great attention and achieved prominent performance in various research fields. Most of those algorithms have assumed pairwise relationships of objects of interest. However, in many real…

Machine Learning · Computer Science 2020-10-13 Song Bai , Feihu Zhang , Philip H. S. Torr

Transformers have revolutionized the field of machine learning. In particular, they can be used to solve complex algorithmic problems, including graph-based tasks. In such algorithmic tasks a key question is what is the minimal size of a…

Machine Learning · Computer Science 2026-01-29 Gilad Yehudai , Clayton Sanford , Maya Bechler-Speicher , Orr Fischer , Ran Gilad-Bachrach , Amir Globerson

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Through legislation and technical advances users gain more control over how their data is processed, and they expect online services to respect their privacy choices and preferences. However, data may be processed for many different…

Databases · Computer Science 2024-03-19 Dorota Filipczuk , Enrico H. Gerding , George Konstantinidis

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

Knowledge graphs are an expressive and widely used data structure due to their ability to integrate data from different domains in a sensible and machine-readable way. Thus, they can be used to model a variety of systems such as molecules…

Neural and Evolutionary Computing · Computer Science 2023-08-28 Dominik Dold , Josep Soler Garrido , Victor Caceres Chian , Marcel Hildebrandt , Thomas Runkler

Social and information networks are gaining huge popularity recently due to their various applications. Knowledge representation through graphs in the form of nodes and edges should preserve as many characteristics of the original data as…

Machine Learning · Computer Science 2021-02-08 Rucha Bhalchandra Joshi , Subhankar Mishra