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math.ST2024
On the maximum likelihood degree for Gaussian graphical models
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek +1
In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML-degree behaves monotonically on induced subgraphs. Furthermore,…
math.AG2024
Phylogenetic degrees for Jukes-Cantor model
Rodica Andreea Dinu, Martin Vodička
Jukes-Cantor model is one of the most meaningful statistical models from a biological perspective. We are interested in computing the algebraic degrees for phylogenetic varieties,…
math.AC2024
On the -condition of edge rings for cactus graphs
Rodica Dinu, Nayana Shibu Deepthi
A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we will examine cactus graphs where all the blocks are -cycles, i.e., trian…