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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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04/12/2023
Function Space and Critical Points of Linear Convolutional Networks
We study the geometry of linear networks with one-dimensional convolutio...
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10/20/2022
Snapshot of Algebraic Vision
In this survey article, we present interactions between algebraic geomet...
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08/03/2021
Geometry of Linear Convolutional Networks
We study the family of functions that are represented by a linear convol...
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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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11/30/2020
Linear Spaces of Symmetric Matrices with Non-Maximal Maximum Likelihood Degree
We study the maximum likelihood degree of linear concentration models in...
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11/17/2020
Maximum Likelihood Estimation for Nets of Conics
We study the problem of maximum likelihood estimation for 3-dimensional ...
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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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03/10/2020
PL_1P – Point-line Minimal Problems under Partial Visibility in Three Views
We present a complete classification of minimal problems for generic arr...
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10/03/2019
Pure and Spurious Critical Points: a Geometric Study of Linear Networks
The critical locus of the loss function of a neural network is determine...
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03/24/2019
PLMP - Point-Line Minimal Problems in Complete Multi-View Visibility
We present a complete classification of all minimal problems for generic...
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07/06/2017
Changing Views on Curves and Surfaces
Visual events in computer vision are studied from the perspective of alg...
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08/28/2015