9 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Phylogenetic invariants: straightforward from the general Markov to equivariant models
Marta Casanellas, Jesús Fernández-Sánchez
In the last decade, some algebraic tools have been successfully applied to phylogenetic reconstruction. These tools are mainly based on the knowledge of equations describing algebr…
Designing weights for quartet-based methods when data is heterogeneous across lineages
Marta Casanellas, Jesús Fernández-Sánchez, Marina Garrote-López +1
Homogeneity across lineages is a common assumption in phylogenetics according to which nucleotide substitution rates remain constant in time and do not depend on lineages. This is…
SAQ: semi-algebraic quartet reconstruction method
Marta Casanellas, Jesús Fernández-Sánchez, Marina Garrote-López
We present the phylogenetic quartet reconstruction method SAQ (Semi-algebraic quartet reconstruction). SAQ is consistent with the most general Markov model of nucleotide substituti…
Rank conditions on phylogenetic networks
Marta Casanellas, Jesús Fernández-Sánchez
Less rigid than phylogenetic trees, phylogenetic networks allow the description of a wider range of evolutionary events. In this note, we explain how to extend the rank invariants…
Distance to the stochastic part of phylogenetic varieties
Marta Casanellas, Jesús Fernández-Sánchez, Marina Garrote-López
Modelling the substitution of nucleotides along a phylogenetic tree is usually done by a hidden Markov process. This allows to define a distribution of characters at the leaves of…