161 citations · 1k across the 69 of their papers we have counts for
8 papers · 1 filter
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…
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…
Counting Markov Equivalence Classes for DAG models on Trees
Adityanarayanan Radhakrishnan, Liam Solus, Caroline Uhler
DAG models are statistical models satisfying a collection of conditional independence relations encoded by the nonedges of a directed acyclic graph (DAG) . Such models…
Permutation-based Causal Inference Algorithms with Interventions
Yuhao Wang, Liam Solus, Karren Dai Yang +1
Learning directed acyclic graphs using both observational and interventional data is now a fundamentally important problem due to recent technological developments in genomics that…
Patchnet: Interpretable Neural Networks for Image Classification
Adityanarayanan Radhakrishnan, Charles Durham, Ali Soylemezoglu +1
Understanding how a complex machine learning model makes a classification decision is essential for its acceptance in sensitive areas such as health care. Towards this end, we pres…
Geometry of Log-Concave Density Estimation
Elina Robeva, Bernd Sturmfels, Caroline Uhler
Shape-constrained density estimation is an important topic in mathematical statistics. We focus on densities on that are log-concave, and we study geometric properti…
Maximum likelihood estimation in Gaussian models under total positivity
Steffen Lauritzen, Caroline Uhler, Piotr Zwiernik
We analyze the problem of maximum likelihood estimation for Gaussian distributions that are multivariate totally positive of order two (MTP2). By exploiting connections to phylogen…
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…