Search Results for author: Bernd Sturmfels

Found 14 papers, 2 papers with code

Toric Geometry of Entropic Regularization

1 code implementation3 Feb 2022 Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse

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

Likelihood Equations and Scattering Amplitudes

no code implementations9 Dec 2020 Bernd Sturmfels, Simon Telen

We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics.

Algebraic Geometry High Energy Physics - Theory Statistics Theory Statistics Theory

An Octanomial Model for Cubic Surfaces

no code implementations16 Aug 2019 Marta Panizzut, Emre Can Sertöz, Bernd Sturmfels

We present a new normal form for cubic surfaces that is well suited for p-adic geometry, as it reveals the intrinsic del Pezzo combinatorics of the 27 trees in the tropicalization.

Algebraic Geometry 14Q10, 14J26, 14T05, 12J25

Learning Paths from Signature Tensors

no code implementations5 Sep 2018 Max Pfeffer, Anna Seigal, Bernd Sturmfels

Given a tensor in the orbit of another tensor, we compute a matrix which transforms one to the other.

Tensor Decomposition

The Geometry of Gaussoids

no code implementations19 Oct 2017 Tobias Boege, Alessio D'Alì, Thomas Kahle, Bernd Sturmfels

A gaussoid is a combinatorial structure that encodes independence in probability and statistics, just like matroids encode independence in linear algebra.

Combinatorics Commutative Algebra Statistics Theory Statistics Theory

Changing Views on Curves and Surfaces

no code implementations6 Jul 2017 Kathlén Kohn, Bernd Sturmfels, Matthew Trager

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

A clever elimination strategy for efficient minimal solvers

no code implementations CVPR 2017 Zuzana Kukelova, Joe Kileel, Bernd Sturmfels, Tomas Pajdla

We present a new insight into the systematic generation of minimal solvers in computer vision, which leads to smaller and faster solvers.

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

no code implementations CVPR 2017 Matthew Trager, Bernd Sturmfels, John Canny, Martial Hebert, Jean Ponce

The rational camera model recently introduced in [19] provides a general methodology for studying abstract nonlinear imaging systems and their multi-view geometry.

Distortion Varieties

no code implementations6 Oct 2016 Joe Kileel, Zuzana Kukelova, Tomas Pajdla, Bernd Sturmfels

The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials.

Congruences and Concurrent Lines in Multi-View Geometry

no code implementations21 Aug 2016 Jean Ponce, Bernd Sturmfels, Matthew Trager

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

On the Existence of Epipolar Matrices

no code implementations6 Oct 2015 Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels, Rekha R. Thomas

essential) matrix given $m$ point correspondences in two views.

Rigid Multiview Varieties

no code implementations10 Sep 2015 Michael Joswig, Joe Kileel, Bernd Sturmfels, André Wagner

The multiview variety from computer vision is generalized to images by $n$ cameras of points linked by a distance constraint.

Certifying the Existence of Epipolar Matrices

no code implementations21 Jul 2014 Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels, Rekha R. Thomas

Given a set of point correspondences in two images, the existence of a fundamental matrix is a necessary condition for the points to be the images of a 3-dimensional scene imaged with two pinhole cameras.

Camera Calibration

Geometry of the restricted Boltzmann machine

2 code implementations30 Aug 2009 Maria Angelica Cueto, Jason Morton, Bernd Sturmfels

The restricted Boltzmann machine is a graphical model for binary random variables.

Cannot find the paper you are looking for? You can Submit a new open access paper.