mia-rapport-2024/rapport/abstract.tex

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% Abstract
\abstract{
Networks are versatile objects able to represent various types of
interactions and bipartite networks are particularly useful in ecological
context for interaction between different entities (e.g. plant-pollinator). As the networks grow in size, reliable metrics, models and methods are needed to detect structure and perform analysis.
Those methods exist and are pretty robust for single network analyses
but we have motivation to consider a collection of network,
in order to compare their structure or partition them.
For collection of simple networks a colSBM (collection Stochastic Block Model~\cite{chabert-liddellLearningCommonStructures2024a}) has been proposed.
We adapt this model to the bipartite case with a variational
Expectation-Maximization algorithm for inference, a clever parameter space
exploration and a BIC-like criterion for model selection. Building on this
method we present a partitioning algorithm to gather networks based
on their shared structures. We perform simulation studies to assess
performance of our models and algorithm. Finally, we apply our clustering
algorithm on ecological networks.
}