
Recovery from Power Sums
We study the problem of recovering a collection of n numbers from the ev...
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Linear PDE with Constant Coefficients
We discuss practical methods for computing the space of solutions to an ...
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Likelihood Equations and Scattering Amplitudes
We relate scattering amplitudes in particle physics to maximum likelihoo...
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Tangent Quadrics in Real 3Space
We examine quadratic surfaces in 3space that are tangent to nine given ...
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Bad Projections of the PSD Cone
The image of the cone of positive semidefinite matrices under a linear m...
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Wasserstein Distance to Independence Models
An independence model for discrete random variables is a SegreVeronese ...
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Algebraic Analysis of Rotation Data
We develop algebraic tools for statistical inference from samples of rot...
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DModules and Holonomic Functions
In algebraic geometry, one studies the solutions to polynomial equations...
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Estimating linear covariance models with numerical nonlinear algebra
Numerical nonlinear algebra is applied to maximum likelihood estimation ...
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Discrete Statistical Models with Rational Maximum Likelihood Estimator
A discrete statistical model is a subset of a probability simplex. Its m...
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Brownian motion tree models are toric
Felsenstein's classical model for Gaussian distributions on a phylogenet...
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Voronoi Cells of Varieties
Every real algebraic variety determines a Voronoi decomposition of its a...
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Learning Paths from Signature Tensors
Matrix congruence extends naturally to the setting of tensors. We apply ...
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Maximum Likelihood Estimation for Totally Positive LogConcave Densities
We study nonparametric density estimation for two classes of multivariat...
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The Geometry of SDPExactness in Quadratic Optimization
Consider the problem of minimizing a quadratic objective subject to quad...
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The Geometry of Gaussoids
A gaussoid is a combinatorial structure that encodes independence in pro...
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Changing Views on Curves and Surfaces
Visual events in computer vision are studied from the perspective of alg...
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A clever elimination strategy for efficient minimal solvers
We present a new insight into the systematic generation of minimal solve...
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General models for rational cameras and the case of twoslit projections
The rational camera model recently introduced in [19] provides a general...
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Distortion Varieties
The distortion varieties of a given projective variety are parametrized ...
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Congruences and Concurrent Lines in MultiView Geometry
We present a new framework for multiview geometry in computer vision. A...
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Nearest Points on Toric Varieties
We determine the Euclidean distance degree of a projective toric variety...
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On the Existence of Epipolar Matrices
This paper considers the foundational question of the existence of a fun...
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Rigid Multiview Varieties
The multiview variety from computer vision is generalized to images by n...
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Computing the Chow variety of quadratic space curves
Quadrics in the Grassmannian of lines in 3space form a 19dimensional p...
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Certifying the Existence of Epipolar Matrices
Given a set of point correspondences in two images, the existence of a f...
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Factorization of Discrete Probability Distributions
We formulate necessary and sufficient conditions for an arbitrary discre...
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A Hilbert Scheme in Computer Vision
Multiview geometry is the study of twodimensional images of threedimen...
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Bernd Sturmfels
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Professor of Mathematics, Statistics and Computer Science