Toric ideals of characteristic imsets via quasi-independence gluing
DOI10.2140/astat.2023.14.109MaRDI QIDQ6578640
Liam Solus, Joseph Johnson, Irem Portakal, Benjamin Hollering
Publication date: 25 July 2024
Published in: Algebraic Statistics (Search for Journal in Brave)
Characterization and structure theory of statistical distributions (62E10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Probabilistic graphical models (62H22) Causal inference from observational studies (62D20) Algebraic statistics (62R01) Statistics on algebraic and topological structures (62Rxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Markov bases in algebraic statistics.
- The max-min hill-climbing Bayesian network structure learning algorithm
- Lifting Markov bases and higher codimension toric fiber products
- Toric ideals generalized by quadratic binomials
- A characterization of Markov equivalence classes for acyclic digraphs
- Gröbner bases and triangulations of the second hypersimplex
- Gröbner bases for staged trees
- The dual polyhedron to the chordal graph polytope and the rebuttal of the chordal graph conjecture
- On rigidity of toric varieties arising from bipartite graphs
- Toric geometry of the Cavender-Farris-Neyman model with a molecular clock
- Quasi-independence models with rational maximum likelihood estimator
- Multigraded commutative algebra of graph decompositions
- Toric fiber products
- Maximum likelihood estimation of toric Fano varieties
- The Characteristic Imset Polytope of Bayesian Networks with Ordered Nodes
- Algebraic Statistics
- 10.1162/153244303321897717
- Rees algebras of edge ideals
- Consistency guarantees for greedy permutation-based causal inference algorithms
- Efficient Sampling and Structure Learning of Bayesian Networks
- Greedy Causal Discovery Is Geometric
- Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model
This page was built for publication: Toric ideals of characteristic imsets via quasi-independence gluing