Bernd Sturmfels

research

∙ 07/25/2023

Likelihood Geometry of Determinantal Point Processes

We study determinantal point processes (DPP) through the lens of algebra...

0 Hannah Friedman, et al. ∙

research

∙ 04/03/2023

Taylor Polynomials of Rational Functions

A Taylor variety consists of all fixed order Taylor polynomials of ratio...

0 Aldo Conca, et al. ∙

research

∙ 01/22/2023

Moment Varieties for Mixtures of Products

The setting of this article is nonparametric algebraic statistics. We st...

0 Yulia Alexandr, et al. ∙

research

∙ 08/31/2022

Four-Dimensional Lie Algebras Revisited

The projective variety of Lie algebra structures on a 4-dimensional vect...

0 Laurent Manivel, et al. ∙

research

∙ 05/23/2022

Recovery of Plane Curves from Branch Points

We recover plane curves from their branch points under projection onto a...

0 Daniele Agostini, et al. ∙

research

∙ 04/13/2022

Bayesian Integrals on Toric Varieties

We explore the positive geometry of statistical models in the setting of...

0 Michael Borinsky, et al. ∙

research

∙ 02/03/2022

Toric Geometry of Entropic Regularization

Entropic regularization is a method for large-scale linear programming. ...

1 Bernd Sturmfels, et al. ∙

research

∙ 01/14/2022

Geometry of Dependency Equilibria

An n-person game is specified by n tensors of the same format. We view i...

0 Irem Portakal, et al. ∙

research

∙ 12/19/2021

Marginal Independence Models

We impose rank one constraints on marginalizations of a tensor, given by...

0 Tobias Boege, et al. ∙

research

∙ 08/21/2021

Beyond Linear Algebra

Our title challenges the reader to venture beyond linear algebra in desi...

0 Bernd Sturmfels, et al. ∙

research

∙ 06/26/2021

Recovery from Power Sums

We study the problem of recovering a collection of n numbers from the ev...

0 Hana Melánová, et al. ∙

research

∙ 04/20/2021

Linear PDE with Constant Coefficients

We discuss practical methods for computing the space of solutions to an ...

0 Rida Ait El Manssour, et al. ∙

research

∙ 12/09/2020

Likelihood Equations and Scattering Amplitudes

We relate scattering amplitudes in particle physics to maximum likelihoo...

0 Bernd Sturmfels, et al. ∙

research

∙ 10/21/2020

Tangent Quadrics in Real 3-Space

We examine quadratic surfaces in 3-space that are tangent to nine given ...

0 Taylor Brysiewicz, et al. ∙

research

∙ 06/17/2020

Bad Projections of the PSD Cone

The image of the cone of positive semidefinite matrices under a linear m...

0 Yuhan Jiang, et al. ∙

research

∙ 03/15/2020

Wasserstein Distance to Independence Models

An independence model for discrete random variables is a Segre-Veronese ...

1 Turku Ozlum Celik, et al. ∙

research

∙ 12/01/2019

Algebraic Analysis of Rotation Data

We develop algebraic tools for statistical inference from samples of rot...

0 Michael F Adamer, et al. ∙

research

∙ 10/03/2019

D-Modules and Holonomic Functions

In algebraic geometry, one studies the solutions to polynomial equations...

0 Anna-Laura Sattelberger, et al. ∙

research

∙ 09/02/2019

Estimating linear covariance models with numerical nonlinear algebra

Numerical nonlinear algebra is applied to maximum likelihood estimation ...

0 Bernd Sturmfels, et al. ∙

research

∙ 03/14/2019

Discrete Statistical Models with Rational Maximum Likelihood Estimator

A discrete statistical model is a subset of a probability simplex. Its m...

0 Eliana Duarte, et al. ∙

research

∙ 02/26/2019

Brownian motion tree models are toric

Felsenstein's classical model for Gaussian distributions on a phylogenet...

0 Bernd Sturmfels, et al. ∙

research

∙ 11/20/2018

Voronoi Cells of Varieties

Every real algebraic variety determines a Voronoi decomposition of its a...

0 Diego Cifuentes, et al. ∙

research

∙ 09/05/2018

Learning Paths from Signature Tensors

Matrix congruence extends naturally to the setting of tensors. We apply ...

0 Max Pfeffer, et al. ∙

research

∙ 06/26/2018

Maximum Likelihood Estimation for Totally Positive Log-Concave Densities

We study nonparametric density estimation for two classes of multivariat...

0 Elina Robeva, et al. ∙

research

∙ 04/05/2018

The Geometry of SDP-Exactness in Quadratic Optimization

Consider the problem of minimizing a quadratic objective subject to quad...

0 Diego Cifuentes, et al. ∙

research

∙ 10/19/2017

The Geometry of Gaussoids

A gaussoid is a combinatorial structure that encodes independence in pro...

0 Tobias Boege, et al. ∙

research

∙ 07/06/2017

Changing Views on Curves and Surfaces

Visual events in computer vision are studied from the perspective of alg...

0 Kathlén Kohn, et al. ∙

research

∙ 03/15/2017

A clever elimination strategy for efficient minimal solvers

We present a new insight into the systematic generation of minimal solve...

0 Zuzana Kukelova, et al. ∙

research

∙ 12/04/2016

General models for rational cameras and the case of two-slit projections

The rational camera model recently introduced in [19] provides a general...

0 Matthew Trager, et al. ∙

research

∙ 10/06/2016

Distortion Varieties

The distortion varieties of a given projective variety are parametrized ...

0 Joe Kileel, et al. ∙

research

∙ 08/21/2016

Congruences and Concurrent Lines in Multi-View Geometry

We present a new framework for multi-view geometry in computer vision. A...

0 Jean Ponce, et al. ∙

research

∙ 03/21/2016

Nearest Points on Toric Varieties

We determine the Euclidean distance degree of a projective toric variety...

0 Martin Helmer, et al. ∙

research

∙ 10/06/2015

On the Existence of Epipolar Matrices

This paper considers the foundational question of the existence of a fun...

0 Sameer Agarwal, et al. ∙

research

∙ 09/10/2015

Rigid Multiview Varieties

The multiview variety from computer vision is generalized to images by n...

0 Michael Joswig, et al. ∙

research

∙ 08/28/2015

Computing the Chow variety of quadratic space curves

Quadrics in the Grassmannian of lines in 3-space form a 19-dimensional p...

0 Peter Bürgisser, et al. ∙

research

∙ 07/21/2014

Certifying the Existence of Epipolar Matrices

Given a set of point correspondences in two images, the existence of a f...

0 Sameer Agarwal, et al. ∙

research

∙ 12/12/2012

Factorization of Discrete Probability Distributions

We formulate necessary and sufficient conditions for an arbitrary discre...

0 Dan Geiger, et al. ∙

research

∙ 07/14/2011

A Hilbert Scheme in Computer Vision

Multiview geometry is the study of two-dimensional images of three-dimen...

0 Chris Aholt, et al. ∙

Bernd Sturmfels

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