6 papers
A functional central limit theorem for kernel gradient flow and infinitesimal gradient boosting
Clément Dombry, Jean-Jil Duchamps
Building on the large-sample analysis of infinitesimal gradient boosting (Dombry and Duchamps, 2024b), we study the fluctuations of the process around its deterministic limit and e…
A parameterized family of balance indices for phylogenetic networks
François Bienvenu, Jean-Jil Duchamps, Hadrien Maffioli
We introduce a new family of balance indices for phylogenetic networks: the indices, where is a positive real number. This family includes the index as a special ca…
An RKHS Perspective on Tree Ensembles
Mehdi Dagdoug, Clement Dombry, Jean-Jil Duchamps
Random Forests and Gradient Boosting are among the most effective algorithms for supervised learning on tabular data. Both belong to the class of tree-based ensemble methods, where…
Fragmentations with self-similar branching speeds
Jean-Jil Duchamps
We consider fragmentation processes with values in the space of marked partitions of , i.e. partitions where each block is decorated with a nonnegative real number. Ass…
Trees within trees II: Nested Fragmentations
Jean-Jil Duchamps
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…
Trees within trees: Simple nested coalescents
Airam Blancas, Jean-Jil Duchamps, Amaury Lambert +1
We consider the compact space of pairs of nested partitions of , where by analogy with models used in molecular evolution, we call "gene partition" the finer partition a…