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math.ST2017
Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables
Caroline Uhler, Donald Richards
We consider the lattice, , of all subsets of a multidimensional contingency table and establish the properties of monotonicity and supermodularity for the marginalizat…
math.ST2017★ 22 cited
Gaussian Graphical Models: An Algebraic and Geometric Perspective
Caroline Uhler
Gaussian graphical models are used throughout the natural sciences, social sciences, and economics to model the statistical relationships between variables of interest in the form…
math.ST2017
Consistency Guarantees for Greedy Permutation-Based Causal Inference Algorithms
Liam Solus, Yuhao Wang, Caroline Uhler
Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standar…