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Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

With the widespread adoption of process mining in organizations, the field of process science is seeing an increase in the demand for ad-hoc analysis techniques of non-standard event data. An example of such data are uncertain event data:…

Artificial Intelligence · Computer Science 2022-04-11 Marco Pegoraro

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

Machine Learning · Computer Science 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

We address the problem of uncertainty quantification for graph-structured data, or, more specifically, the problem to quantify the predictive uncertainty in (semi-supervised) node classification. Key questions in this regard concern the…

Machine Learning · Computer Science 2024-06-07 Clemens Damke , Eyke Hüllermeier

Process mining is a scientific discipline that analyzes event data, often collected in databases called event logs. Recently, uncertain event logs have become of interest, which contain non-deterministic and stochastic event attributes that…

Artificial Intelligence · Computer Science 2022-04-05 Marco Pegoraro , Bianka Bakullari , Merih Seran Uysal , Wil M. P. van der Aalst

Uncertainty principles present an important theoretical tool in signal processing, as they provide limits on the time-frequency concentration of a signal. In many real-world applications the signal domain has a complicated irregular…

Information Theory · Computer Science 2023-06-29 Elizaveta Rebrova , Palina Salanevich

Complex networks or graphs are ubiquitous in sciences and engineering: biological networks, brain networks, transportation networks, social networks, and the World Wide Web, to name a few. Spectral graph theory provides a set of useful…

Statistics Theory · Mathematics 2019-01-23 Subhadeep Mukhopadhyay , Kaijun Wang

The analysis of data such as graphs has been gaining increasing attention in the past years. This is justified by the numerous applications in which they appear. Several methods are present to predict graphs, but much fewer to quantify the…

Methodology · Statistics 2024-04-30 Anna Calissano , Matteo Fontana , Gianluca Zeni , Simone Vantini

Knowledge Graphs are pivotal for semantic data integration. The real-world data they model is often inherently uncertain. Within knowledge graphs, uncertainty manifests in three distinct levels: imprecise attribute values, probabilistic…

Artificial Intelligence · Computer Science 2026-05-19 Jingcheng Wu

Nowadays, the analysis of complex phenomena modeled by graphs plays a crucial role in many real-world application domains where decisions can have a strong societal impact. However, numerous studies and papers have recently revealed that…

Machine Learning · Computer Science 2024-02-23 Charlotte Laclau , Christine Largeron , Manvi Choudhary

Retrieving cohesive subgraphs in networks is a fundamental problem in social network analysis and graph data management. These subgraphs can be used for marketing strategies or recommendation systems. Despite the introduction of numerous…

Social and Information Networks · Computer Science 2025-07-16 Dahee Kim , Song Kim , Jeongseon Kim , Junghoon Kim , Kaiyu Feng , Sungsu Lim , Jungeun Kim

Probabilistic graphical models combine the graph theory and probability theory to give a multivariate statistical modeling. They provide a unified description of uncertainty using probability and complexity using the graphical model.…

Machine Learning · Statistics 2011-11-30 Yang Zhou

Better representation of the uncertainty in a data visualisation is a focus of recent research activity. A problem with the current literature is that there is a lack of clarity about the definition of uncertainty and what it means to…

Human-Computer Interaction · Computer Science 2026-03-30 Harriet Mason , Dianne Cook , Sarah Goodwin , Emi Tanaka , Susan VanderPlas

Large graphs can be found in a wide array of scientific fields ranging from sociology and biology to scientometrics and computer science. Their analysis is by no means a trivial task due to their sheer size and complex structure. Such…

Social and Information Networks · Computer Science 2017-02-24 Georgios Drakopoulos , Stavros Kontopoulos , Christos Makris , Vasileios Megalooikonomou

We present a Bayesian perspective on quantifying the uncertainty of graph signals estimated or reconstructed from imperfect observations. We show that many conventional methods of graph signal estimation, reconstruction and imputation, can…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Lennard Rompelberg , Michael T. Schaub

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Social and Information Networks · Computer Science 2016-12-12 Karthikeyan Rajendran , Assimakis A. Kattis , Alexander Holiday , Risi Kondor , Ioannis G. Kevrekidis

Graph neural networks (GNNs) are quickly becoming the standard approach for learning on graph structured data across several domains, but they lack transparency in their decision-making. Several perturbation-based approaches have been…

Machine Learning · Computer Science 2021-11-29 Anna Himmelhuber , Mitchell Joblin , Martin Ringsquandl , Thomas Runkler

Uncertainty Sampling is an Active Learning strategy that aims to improve the data efficiency of machine learning models by iteratively acquiring labels of data points with the highest uncertainty. While it has proven effective for…

Machine Learning · Computer Science 2025-02-28 Dominik Fuchsgruber , Tom Wollschläger , Bertrand Charpentier , Antonio Oroz , Stephan Günnemann

The study of complex networks has significantly advanced our understanding of community structures which serves as a crucial feature of real-world graphs. Detecting communities in graphs is a challenging problem with applications in…

Social and Information Networks · Computer Science 2024-07-15 Jiakang Li , Songning Lai , Zhihao Shuai , Yuan Tan , Yifan Jia , Mianyang Yu , Zichen Song , Xiaokang Peng , Ziyang Xu , Yongxin Ni , Haifeng Qiu , Jiayu Yang , Yutong Liu , Yonggang Lu

Graph mining algorithms have been playing a significant role in myriad fields over the years. However, despite their promising performance on various graph analytical tasks, most of these algorithms lack fairness considerations. As a…

Machine Learning · Computer Science 2023-04-12 Yushun Dong , Jing Ma , Song Wang , Chen Chen , Jundong Li