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05/30/2023
Rectifiable paths with polynomial log-signature are straight lines
The signature of a rectifiable path is a tensor series in the tensor alg...
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05/24/2023
Supermodular Rank: Set Function Decomposition and Optimization
We define the supermodular rank of a function on a lattice. This is the ...
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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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11/29/2022
Linear Causal Disentanglement via Interventions
Causal disentanglement seeks a representation of data involving latent v...
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08/23/2021
Symmetries in Directed Gaussian Graphical Models
We define Gaussian graphical models on directed acyclic graphs with colo...
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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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12/01/2020
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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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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09/05/2018
Learning Paths from Signature Tensors
Matrix congruence extends naturally to the setting of tensors. We apply ...
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10/04/2017
Duality of Graphical Models and Tensor Networks
In this article we show the duality between tensor networks and undirect...
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09/15/2017
Mixtures and products in two graphical models
We compare two statistical models of three binary random variables. One ...
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12/24/2016