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Opinion Dynamics in Spectral Clustering

Zande, Hannah, van der (2020) Opinion Dynamics in Spectral Clustering. Bachelor's Thesis, Applied Mathematics.


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This thesis addresses the problem of clustering networks and data sets. Networks consist of agents and links connecting the agents. Networks are used in many different fields of science such as biology and social sciences. Clustering networks can be seen as making groups of agents based on similarity. The goal of clustering networks is to improve interpretations and to facilitate a way to make the analysis of big networks easier. Even though many different methods already exist, this thesis explains a methodology based on opinion dynamics. This method relies on every agent having an opinion, which will be updated at every time step. Due to convergence of opinions, agents eventually form clusters. This methodology will be explained and substantiated with mathematical proofs. Furthermore, simulations will be performed on specific examples to understand the method. Finally, this method will be applied on an existing data set to see how this method could be used in practice.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Besselink, B. and Sterk, A.E.
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 13 Jul 2020 13:20
Last Modified: 13 Jul 2020 13:20

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