Paul Breiding

According to our database, Paul Breiding authored at least 26 papers between 2017 and 2026.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2026

Low-Memory Numerical Certification.

Paul Breiding, Taylor Brysiewicz, David K. Johnson

CoRR, April, 2026

Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets.

Paul Breiding, John Cobb, Aviva K. Englander, Nayda Farnsworth, Jonathan D. Hauenstein, Oskar Henriksson, David K. Johnson, Jordy Lopez Garcia, Deepak Mundayur

CoRR, January, 2026

2025

Critical Points of Degenerate Metrics on Algebraic Varieties: A Tale of Overparametrization.

Giovanni Luca Marchetti, Erin Connelly, Paul Breiding, Kathlén Kohn

CoRR, December, 2025

A short proof for the parameter continuation theorem.

Viktoriia Borovik, Paul Breiding

J. Symb. Comput., 2025

2024

Computing Arrangements of Hypersurfaces.

Paul Breiding, Bernd Sturmfels, Kexin Wang

CoRR, 2024

2023

The condition number of many tensor decompositions is invariant under Tucker compression.

Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven

Numer. Algorithms, October, 2023

Line Multiview Varieties.

Paul Breiding, Felix Rydell, Elima Shehu, Angélica Torres

SIAM J. Appl. Algebra Geom., June, 2023

The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite.

Carlos Beltrán, Paul Breiding, Nick Vannieuwenhoven

Found. Comput. Math., April, 2023

Certifying Zeros of Polynomial Systems Using Interval Arithmetic.

Paul Breiding, Kemal Rose, Sascha Timme

ACM Trans. Math. Softw., March, 2023

Numerical Nonlinear Algebra.

Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile

CoRR, 2023

2022

Sensitivity of low-rank matrix recovery.

Paul Breiding, Nick Vannieuwenhoven

Numerische Mathematik, 2022

Euclidean Distance Degree and Mixed Volume.

Paul Breiding, Frank Sottile, James Woodcock

Found. Comput. Math., 2022

Average degree of the essential variety.

Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero, Elima Shehu

CoRR, 2022

2021

The Condition Number of Riemannian Approximation Problems.

Paul Breiding, Nick Vannieuwenhoven

SIAM J. Optim., 2021

Three decompositions of symmetric tensors have similar condition numbers.

Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven

CoRR, 2021

Algebraic compressed sensing.

Paul Breiding, Fulvio Gesmundo, Mateusz Michalek, Nick Vannieuwenhoven

CoRR, 2021

2020

Random Points on an Algebraic Manifold.

Paul Breiding, Orlando Marigliano

SIAM J. Math. Data Sci., 2020

2019

Pencil-Based Algorithms for Tensor Rank Decomposition are not Stable.

Carlos Beltrán, Paul Breiding, Nick Vannieuwenhoven

SIAM J. Matrix Anal. Appl., 2019

Random Spectrahedra.

Paul Breiding, Khazhgali Kozhasov, Antonio Lerario

SIAM J. Optim., 2019

A theory of condition for unconstrained perturbations.

Paul Breiding, Nick Vannieuwenhoven

CoRR, 2019

2018

The Condition Number of Join Decompositions.

Paul Breiding, Nick Vannieuwenhoven

SIAM J. Matrix Anal. Appl., 2018

A Riemannian Trust Region Method for the Canonical Tensor Rank Approximation Problem.

Paul Breiding, Nick Vannieuwenhoven

SIAM J. Optim., 2018

Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number.

Paul Breiding, Nick Vannieuwenhoven

Appl. Math. Lett., 2018

HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia.

Paul Breiding, Sascha Timme

Proceedings of the Mathematical Software - ICMS 2018, 2018

2017

The Expected Number of Eigenvalues of a Real Gaussian Tensor.

Paul Breiding

SIAM J. Appl. Algebra Geom., 2017

HomotopyContinuation.jl - a package for solving systems of polynomial equations in Julia.

Paul Breiding, Sascha Timme

CoRR, 2017