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04/24/2023
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator
We study multivariate Gaussian statistical models whose maximum likeliho...
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09/08/2022
Identifiability in Continuous Lyapunov Models
The recently introduced graphical continuous Lyapunov models provide a n...
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12/20/2021
Third-Order Moment Varieties of Linear Non-Gaussian Graphical Models
In this paper we study linear non-Gaussian graphical models from the per...
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06/29/2021
Estimating Gaussian mixtures using sparse polynomial moment systems
The method of moments is a statistical technique for density estimation ...
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06/15/2021
Markov Equivalence of Max-Linear Bayesian Networks
Max-linear Bayesian networks have emerged as highly applicable models fo...
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12/21/2020
Computing Maximum Likelihood Estimates for Gaussian Graphical Models with Macaulay2
We introduce the package GraphicalModelsMLE for computing the maximum li...
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12/14/2020
Toric invariant theory for maximum likelihood estimation in log-linear models
We establish connections between invariant theory and maximum likelihood...
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12/07/2020
Likelihood Geometry of Correlation Models
Correlation matrices are standardized covariance matrices. They form an ...
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12/01/2020
The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices
We study multivariate Gaussian models that are described by linear condi...
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06/10/2020
Structure Learning for Cyclic Linear Causal Models
We consider the problem of structure learning for linear causal models b...
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03/30/2020
Invariant theory and scaling algorithms for maximum likelihood estimation
We show that maximum likelihood estimation in statistics is equivalent t...
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02/21/2020
Conditional Independence in Max-linear Bayesian Networks
Motivated by extreme value theory, max-linear Bayesian networks have bee...
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05/17/2019
Maximum Likelihood Estimation of Toric Fano Varieties
We study the maximum likelihood estimation problem for several classes o...
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05/13/2019
Moment Identifiability of Homoscedastic Gaussian Mixtures
We consider the problem of identifying a mixture of Gaussian distributio...
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03/20/2019
Autocovariance Varieties of Moving Average Random Fields
We study the autocovariance functions of moving average random fields ov...
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01/08/2018