4 papers
Computing the continuous symmetries of a parametrized variety
Benjamin Biaggi, Jan Draisma, Fulvio Gesmundo +2
We prove that the symmetry Lie algebra of a parametrized variety can be determined directly from the parametrization, without computing the vanishing ideal of the variety. We deriv…
Contrastive independent component analysis
Kexin Wang, Aida Maraj, Anna Seigal
In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control gro…
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics
Aida Maraj, Arpan Pal
The motivation for this paper is to detect when an irreducible projective variety V is not toric. We do this by analyzing a Lie group and a Lie algebra associated to V. If the dime…
Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance
Jane Ivy Coons, Shelby Cox, Aida Maraj +1
A Brownian motion tree (BMT) model is a Gaussian model whose associated set of covariance matrices is linearly constrained according to common ancestry in a phylogenetic tree. We s…