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Contribution Details

Type Conference or Workshop Paper
Scope Discipline-based scholarship
Published in Proceedings Yes
Title When is a Network a Network? Multi-Order Graphical Model Selection in Pathways and Temporal Networks
Organization Unit
  • Contribution from another University/Organization than University of Zurich
Authors
  • Ingo Scholtes
Presentation Type paper
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
ISBN 9781450348874
Page Range 1037 - 1046
Event Title the 23rd ACM SIGKDD International Conference
Event Type conference
Event Location Halifax, NS, Canada
Event Start Date September 13 - 2017
Event End Date September 17 - 2017
Place of Publication New York, New York, USA
Publisher ACM Press
Abstract Text We introduce a framework for the modeling of sequential data capturing pathways of varying lengths observed in a network. Such data are important, e.g., when studying click streams in the Web, travel patterns in transportation systems, information cascades in social networks, biological pathways, or time-stamped social interactions. While it is common to apply graph analytics and network analysis to such data, recent works have shown that temporal correlations can invalidate the results of such methods. This raises a fundamental question: When is a network abstraction of sequential data justified?Addressing this open question, we propose a framework that combines Markov chains of multiple, higher orders into a multi-layer graphical model that captures temporal correlations in pathways at multiple length scales simultaneously. We develop a model selection technique to infer the optimal number of layers of such a model and show that it outperforms baseline Markov order detection techniques. An application to eight real-world data sets on pathways and temporal networks shows that it allows to infer graphical models that capture both topological and temporal characteristics of such data. Our work highlights fallacies of network abstractions and provides a principled answer to the open question when they are justified. Generalizing network representations to multi-order graphical models, it opens perspectives for new data mining and knowledge discovery algorithms.
Digital Object Identifier 10.1145/3097983.3098145
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