Paul Breiding

Publication Activity (10 Years)

Years Active: 2017-2023
Publications (10 Years): 24

Top Topics

Compressed Sensing

Convergence Analysis

Condition Number

Top Venues

SIAM J. Appl. Algebra Geom.

SIAM J. Matrix Anal. Appl.

Publications

Paul Breiding, Kemal Rose, Sascha Timme
Certifying Zeros of Polynomial Systems Using Interval Arithmetic. ACM Trans. Math. Softw. 49 (1) (2023)
Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile
Numerical Nonlinear Algebra. CoRR (2023)
Paul Breiding, Felix Rydell, Elima Shehu, Angélica Torres
Line Multiview Varieties. SIAM J. Appl. Algebra Geom. 7 (2) (2023)
Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven
The condition number of many tensor decompositions is invariant under Tucker compression. Numer. Algorithms 94 (2) (2023)
Carlos Beltrán, Paul Breiding, Nick Vannieuwenhoven
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite. Found. Comput. Math. 23 (2) (2023)
Viktoriia Borovik, Paul Breiding
A short proof for the parameter continuation theorem. CoRR (2023)
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero, Elima Shehu
Average degree of the essential variety. CoRR (2022)
Paul Breiding, F. Sottile, J. Woodcock
Euclidean Distance Degree and Mixed Volume. Found. Comput. Math. 22 (6) (2022)
Paul Breiding, Nick Vannieuwenhoven
Sensitivity of low-rank matrix recovery. Numerische Mathematik 152 (4) (2022)
Paul Breiding, Nick Vannieuwenhoven
The Condition Number of Riemannian Approximation Problems. SIAM J. Optim. 31 (1) (2021)
Paul Breiding, Fulvio Gesmundo, Mateusz Michalek, Nick Vannieuwenhoven
Algebraic compressed sensing. CoRR (2021)
Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven
The condition number of many tensor decompositions is invariant under Tucker compression. CoRR (2021)
Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven
Three decompositions of symmetric tensors have similar condition numbers. CoRR (2021)
Paul Breiding, Nick Vannieuwenhoven
Sensitivity of low-rank matrix recovery. CoRR (2021)
Paul Breiding, Orlando Marigliano
Random Points on an Algebraic Manifold. SIAM J. Math. Data Sci. 2 (3) (2020)
Paul Breiding, Nick Vannieuwenhoven
A theory of condition for unconstrained perturbations. CoRR (2019)
Carlos Beltrán, Paul Breiding, Nick Vannieuwenhoven
Pencil-Based Algorithms for Tensor Rank Decomposition are not Stable. SIAM J. Matrix Anal. Appl. 40 (2) (2019)
Paul Breiding, Khazhgali Kozhasov, Antonio Lerario
Random Spectrahedra. SIAM J. Optim. 29 (4) (2019)
Paul Breiding, Nick Vannieuwenhoven
The Condition Number of Join Decompositions. SIAM J. Matrix Anal. Appl. 39 (1) (2018)
Paul Breiding, Nick Vannieuwenhoven
Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number. Appl. Math. Lett. 78 (2018)
Paul Breiding, Nick Vannieuwenhoven
A Riemannian Trust Region Method for the Canonical Tensor Rank Approximation Problem. SIAM J. Optim. 28 (3) (2018)
Paul Breiding, Sascha Timme
HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia. ICMS (2018)
Paul Breiding, Sascha Timme
HomotopyContinuation.jl - a package for solving systems of polynomial equations in Julia. CoRR (2017)
Paul Breiding
The Expected Number of Eigenvalues of a Real Gaussian Tensor. SIAM J. Appl. Algebra Geom. 1 (1) (2017)