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05/31/2023
Positivity in Linear Gaussian Structural Equation Models
We study a notion of positivity of Gaussian directed acyclic graphical m...
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06/15/2022
Large-Scale Differentiable Causal Discovery of Factor Graphs
A common theme in causal inference is learning causal relationships betw...
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12/01/2021
Maximum Likelihood Estimation for Brownian Motion Tree Models Based on One Sample
We study the problem of maximum likelihood estimation given one data sam...
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06/13/2020
Optimal Rates for Estimation of Two-Dimensional Totally Positive Distributions
We study minimax estimation of two-dimensional totally positive distribu...
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06/08/2019
Estimation Rates for Sparse Linear Cyclic Causal Models
Causal models are important tools to understand complex phenomena and pr...
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05/14/2019
Minimax rates of estimation for smooth optimal transport maps
Brenier's theorem is a cornerstone of optimal transport that guarantees ...
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04/05/2019
Estimation of Monge Matrices
Monge matrices and their permuted versions known as pre-Monge matrices n...
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06/19/2018