Generalized Permutohedra from Probabilistic Graphical Models
From MaRDI portal
Publication:4601214
DOI10.1137/16M107894XOpenAlexW2963303827MaRDI QIDQ4601214
No author found.
Publication date: 12 January 2018
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.01814
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40)
Related Items
Greedy Causal Discovery Is Geometric ⋮ Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity ⋮ When are multidegrees positive? ⋮ When are multidegrees positive? ⋮ The geometry of gaussoids
Cites Work
- Geometry of the faithfulness assumption in causal inference
- Lectures on algebraic statistics
- Faces of generalized permutohedra
- A geometric view on learning Bayesian network structures
- Triangulations. Structures for algorithms and applications
- A realization of graph associahedra
- Gaussian conditional independence relations have no finite complete characterization
- A characterization of Markov equivalence classes for acyclic digraphs
- Polyhedral aspects of score equivalence in Bayesian network structure learning
- Characteristic imsets for learning Bayesian network structure
- Markov properties for mixed graphs
- Coxeter complexes and graph-associahedra
- Submodular functions and optimization.
- Polyhedral Approach to Statistical Learning Graphical Models
- Three Counter-Examples on Semi-Graphoids
- Smoothness of Gaussian conditional independence models
- Convex Rank Tests and Semigraphoids
- Lectures on Polytopes
- Discrete Convex Analysis
- 10.1162/153244302760200696
- 10.1162/153244303321897717
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
