Paul Breiding

Orcid: 0000-0003-3747-9185

Affiliations:
  • Osnabrück University, Germany


According to our database1, Paul Breiding authored at least 23 papers between 2017 and 2025.

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Bibliography

2025
A short proof for the parameter continuation theorem.
J. Symb. Comput., 2025

2024
Computing Arrangements of Hypersurfaces.
CoRR, 2024

2023
The condition number of many tensor decompositions is invariant under Tucker compression.
Numer. Algorithms, October, 2023

Line Multiview Varieties.
SIAM J. Appl. Algebra Geom., June, 2023

The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite.
Found. Comput. Math., April, 2023

Certifying Zeros of Polynomial Systems Using Interval Arithmetic.
ACM Trans. Math. Softw., March, 2023

Numerical Nonlinear Algebra.
CoRR, 2023

2022
Sensitivity of low-rank matrix recovery.
Numerische Mathematik, 2022

Euclidean Distance Degree and Mixed Volume.
Found. Comput. Math., 2022

Average degree of the essential variety.
CoRR, 2022

2021
The Condition Number of Riemannian Approximation Problems.
SIAM J. Optim., 2021

Three decompositions of symmetric tensors have similar condition numbers.
CoRR, 2021

Algebraic compressed sensing.
CoRR, 2021

2020
Random Points on an Algebraic Manifold.
SIAM J. Math. Data Sci., 2020

2019
Pencil-Based Algorithms for Tensor Rank Decomposition are not Stable.
SIAM J. Matrix Anal. Appl., 2019

Random Spectrahedra.
SIAM J. Optim., 2019

A theory of condition for unconstrained perturbations.
CoRR, 2019

2018
The Condition Number of Join Decompositions.
SIAM J. Matrix Anal. Appl., 2018

A Riemannian Trust Region Method for the Canonical Tensor Rank Approximation Problem.
SIAM J. Optim., 2018

Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number.
Appl. Math. Lett., 2018

HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia.
Proceedings of the Mathematical Software - ICMS 2018, 2018

2017
The Expected Number of Eigenvalues of a Real Gaussian Tensor.
SIAM J. Appl. Algebra Geom., 2017

HomotopyContinuation.jl - a package for solving systems of polynomial equations in Julia.
CoRR, 2017


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