[Turing-Southampton] Applied Mathematics seminar, *Wednesday, 15 May* at 12pm in *07/3027*

[Susan Davies]

***APOLOGIES IF YOU RECEIVE THIS MORE THAN ONCE***

Applied Mathematics Seminar

Semester 2 – 2019



Wednesday, 15 May at 12:00 in 07/3027

Mariano Beguerisse-Diaz (Spotify)

Continuous-time temporal networks with tie decay

In this talk I will present recent work on modelling networks from streams of interactions in continuous time. In these networks the weight of an edge represents the strength of a tie between two nodes. Our modelling framework makes a  distinction between interactions (discrete events at specific times) and ties (the strength of a relationship, which evolves in time).  The two key modelling assumptions of this framework are: 1) In the absence of interactions a tie between two nodes decays exponentially with rate alpha, and 2) when the nodes interact the tie experiences a discontinuous jump. The decay rate represents the deterioration rate of relationships and can be tuned to reflect a variety of scenarios. Alternatively, tie decay can represent the diminishing value of old information. We introduce an adaptation of the popular PageRank centrality score to tie-decay networks, and provide an efficient algorithm to compute it in streaming data applications. We illustrate these networks on synthetic examples, and a dataset of tweets about the NHS. Finally, we will discuss potential avenues for future research and other applications, such as recommendation systems



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Susan Davies
Coordination Manager, Web Science Institute<https://www.southampton.ac.uk/wsi/index.page?>
University Liaison Manager, The Alan Turing Institute<https://www.southampton.ac.uk/wsi/alan-turing-institute/alan-turing-institute.page>
Room 3041, Building 32
Web Science Institute
University of Southampton
Southampton SO17 1BJ

023 8059 3523 | 07768 266464





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