1 code implementation • 3 Feb 2022 • Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse
Entropic regularization is a method for large-scale linear programming.
no code implementations • 9 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
no code implementations • 16 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
no code implementations • 5 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.
no code implementations • 19 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
no code implementations • 6 Jul 2017 • Kathlén Kohn, Bernd Sturmfels, Matthew Trager
Visual events in computer vision are studied from the perspective of algebraic geometry.
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.
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.
no code implementations • 6 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.
no code implementations • 21 Aug 2016 • Jean Ponce, Bernd Sturmfels, Matthew Trager
We present a new framework for multi-view geometry in computer vision.
no code implementations • 6 Oct 2015 • Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels, Rekha R. Thomas
essential) matrix given $m$ point correspondences in two views.
no code implementations • 10 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.
no code implementations • 21 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.
2 code implementations • 30 Aug 2009 • Maria Angelica Cueto, Jason Morton, Bernd Sturmfels
The restricted Boltzmann machine is a graphical model for binary random variables.