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Trees within trees II: Nested Fragmentations

Archive ouverte | Duchamps, Jean-Jil | CCSD

37 pages, 6 figures.. Similarly as in (Blancas et al. 2018) where nested coalescent processes are studied, we generalize the definition of partition-valued homogeneous Markov fragmentation processes to the setting o...

A large-sample theory for infinitesimal gradient boosting

Archive ouverte | Dombry, Clement | CCSD

36 pages. Infinitesimal gradient boosting is defined as the vanishing-learning-rate limit of the popular tree-based gradient boosting algorithm from machine learning (Dombry and Duchamps, 2021). It is characterized ...

A branching process with coalescence to model random phylogenetic networks

Archive ouverte | Bienvenu, François | CCSD

International audience. We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is...

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