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Betweenness Preference: Quantifying Correlations in the Topological Dynamics of Temporal Networks
(2012)arXivWorking Paper -
Slow-Down vs. Speed-Up of Information Diffusion in Non-Markovian Temporal Networks
(2013)arXivWorking Paper -
Predicting Sequences of Traversed Nodes in Graphs using Network Models with Multiple Higher Orders
(2020)arXivWe propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order model. We develop a technique to fit such multi-order models in empirical sequential data and to select the optimal maximum order. Our framework facilitates both next-element and full sequence prediction ...Working Paper -
Generalized Hypergeometric Ensembles: Statistical Hypothesis Testing in Complex Networks
(2016)arXivStatistical ensembles define probability spaces of all networks consistent with given aggregate statistics and have become instrumental in the analysis of relational data on networked systems. Their numerical and analytical study provides the foundation for the inference of topological patterns, the definition of network-analytic measures, as well as for model selection and statistical hypothesis testing. Contributing to the foundation ...Working Paper -
Detecting Path Anomalies in Time Series Data on Networks
(2019)arXivThe unsupervised detection of anomalies in time series data has important applications, e.g., in user behavioural modelling, fraud detection, and cybersecurity. Anomaly detection has been extensively studied in categorical sequences, however we often have access to time series data that contain paths through networks. Examples include transaction sequences in financial networks, click streams of users in networks of cross-referenced ...Working Paper