Preprints
Hyperplane Representations of Interventional Characteristic Imset Polytopes
Benjamin Hollering, Joseph Johnson, Liam Solus
Faithlessness in Gaussian Graphical Models
Mathias Drton, Leonard Henckel, Benjamin Hollering, Pratik Misra
The Pfaffian Structure of CFN Phylogenetic Networks
Joseph Cummings, Elizabeth Gross, Benjamin Hollering, Samuel Martin, Ikenna Nometa
Computing Implicitizations of Multi-Graded Polynomial Maps
Joseph Cummings, Benjamin Hollering
Identifiability of Homoscedastic Linear Structural Equation Models using Algebraic Matroids
Mathias Drton, Benjamin Hollering, Jun Wu
Identifiability of the Rooted Tree Parameter under the Cavender-Farris-Neyman Model with a Molecular Clock
Jane Coons, Benjamin Hollering
Publications
Combinatorics of Correlated Equilibria
Marie-Charlotte Brandenburg, Benjamin Hollering, Irem Portakal
Accepted to Experimental Mathematics
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman Model
Joseph Cummings, Benjamin Hollering, Christopher Manon
Adv. in Appl. Math. 153 (2024), Paper No. 102633.
Toric Ideals of Characteristic Imsets via Quasi-Independence Gluing
Benjamin Hollering, Joseph Johnson, Irem Portakal, Liam Solus
To appear in Algebraic Statistics - Hawaii 2022 Issue
Toric Fiber Products in Geometric Modeling
Eliana Duarte, Benjamin Hollering, Maximilian Wiesmann
Geometric science of information. Part I, 494–503. Lecture Notes in Comput. Sci., 14071
Generalized Cut Polytopes for Binary Hierarchical Models
Jane Ivy Coons, Joseph Cummings, Benjamin Hollering, Aida Maraj
To appear in Algebraic Statistics - Hawaii 2022 Issue
Exchangeable and Sampling Consistent Distributions on Rooted Binary Trees
Benjamin Hollering, Seth Sullivant
J. Appl. Probab. 59 (2022), no.1, 60–80.
Discrete Max-Linear Bayesian Networks
Benjamin Hollering, Seth Sullivant
Algebraic Statistics Vol. 12 (2021), No. 2, 213–225
Markov Equivalence of Max-Linear Bayesian Networks
Carlos Améndola, Benjamin Hollering, Seth Sullivant, Ngoc Tran
Proceedings of the Thirty-Seventh Conference on Uncertainty in Artificial Intelligence, PMLR 161:1746-1755, 2021.
Identifiability in Phylogenetics using Algebraic Matroids
Benjamin Hollering, Seth Sullivant
Journal of Symbolic Computation 104 (2021),142–158.
Algebraic Optimization Degree
Thesis
Computational and Combinatorial Techniques for Phylogenetic Algebraic Geometry
Ben Hollering
North Carolina State University