9 citations · 30 across the 24 of their papers we have counts for
31 papers
Computing phylogenetic invariants for time-reversible models: from TN93 to its submodels
Marta Casanellas, Jennifer Garbett, Roser Homs +2
Phylogenetic invariants are equations that vanish on algebraic varieties associated with Markov processes that model molecular substitutions on phylogenetic trees. For practical ap…
Generating heterogeneous data on gene trees
Martí Cortada Garcia, Adrià Diéguez Moscardó, Marta Casanellas
We introduce GenPhylo, a Python module that simulates nucleotide sequence data along a phylogeny avoiding the restriction of continuous-time Markov processes. GenPhylo uses directl…
Tensors in algebraic statistics
Marta Casanellas, Luis Sierra, Piotr Zwiernik
Tensors are ubiquitous in statistics and data analysis. The central object that links data science to tensor theory and algebra is that of a model with latent variables. We provide…
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…
A novel algebraic approach to time-reversible evolutionary models
Marta Casanellas, Roser Homs Pons, Angélica Torres
In the last years, algebraic tools have been proven useful in phylogenetic reconstruction and model selection through the study of phylogenetic invariants. However, up to now, the…
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…