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05/10/2023
Causal Inference in Directed, Possibly Cyclic, Graphical Models
We consider the problem of learning a directed graph G^⋆ from observatio...
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10/18/2022
Multivariate Super-Resolution without Separation
In this paper we study the high-dimensional super-resolution imaging pro...
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06/10/2022
Log-concave density estimation in undirected graphical models
We study the problem of maximum likelihood estimation of densities that ...
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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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11/12/2021
Robust Eigenvectors of Symmetric Tensors
The tensor power method generalizes the matrix power method to higher or...
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10/11/2020
Learning Linear Non-Gaussian Graphical Models with Multidirected Edges
In this paper we propose a new method to learn the underlying acyclic mi...
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10/08/2020
Orthogonal Decomposition of Tensor Trains
In this paper we study the problem of recovering a tensor network decomp...
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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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01/28/2020
Multi-trek separation in Linear Structural Equation Models
Building on the theory of causal discovery from observational data, we s...
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10/06/2019
Kernel Density Estimation for Totally Positive Random Vectors
We study the estimation of the density of a totally positive random vect...
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10/06/2019
Kernel Density Estimation for Totally Positive RandomVectors
We study the estimation of the density of a totally positive random vect...
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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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07/19/2018
Nested Covariance Determinants and Restricted Trek Separation in Gaussian Graphical Models
Directed graphical models specify noisy functional relationships among a...
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06/26/2018
Maximum Likelihood Estimation for Totally Positive Log-Concave Densities
We study nonparametric density estimation for two classes of multivariat...
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10/04/2017