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Former Research Group

Numerical and Probabilistic Nonlinear Algebra - Publications

Explore the scholarly works of the "Numerical and Probabilistic Nonlinear Algebra" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our research through preprints.

inJournal
2023 Repository Open Access
Paul Breiding, Fulvio Gesmundo, Mateusz Michałek and Nick Vannieuwenhoven

Algebraic compressed sensing

In: Applied and computational harmonic analysis, 65 (2023), pp. 374-406
BibTex DOI: 10.1016/j.acha.2023.03.006 ArXiv: 2108.13208
inJournal
2023 Repository Open Access
Paul Breiding, Kemal Rose and Sascha Timme

Certifying zeros of polynomial systems using interval arithmetic

In: ACM transactions on mathematical software, 49 (2023) 1, p. 11
BibTex DOI: 10.1145/3580277 ArXiv: 2011.05000
inJournal
2023 Repository Open Access
Jayadev S. Athreya, Samantha Fairchild and Howard Masur

Counting pairs of saddle connections

In: Advances in mathematics, 431 (2023), p. 109233
BibTex DOI: 10.1016/j.aim.2023.109233 ArXiv: 2201.08628 MiS Preprint
inJournal
2023 Repository Open Access
Paul Breiding, Türkü Özlüm Celik, Timothy Duff, Alexander Heaton, Aida Maraj, Anna-Laura Sattelberger, Lorenzo Venturello and Oğuzhan Yürük

Nonlinear algebra and applications

In: Numerical algebra, control and optimization, 13 (2023) 1, pp. 81-116
BibTex DOI: 10.3934/naco.2021045 ArXiv: 2103.16300
inJournal
2023 Journal Open Access
Carlos Beltrán, Paul Breiding and Nick Vannieuwenhoven

The average condition number of most tensor rank decomposition problems is infinite

In: Foundations of computational mathematics, 23 (2023) 2, pp. 433-491
BibTex DOI: 10.1007/s10208-022-09551-1 ArXiv: 1903.05527 MiS Preprint
inJournal
2023 Repository Open Access
Nick Dewaele, Paul Breiding and Nick Vannieuwenhoven

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

In: Numerical algorithms, 94 (2023) 2, pp. 1003-1029
BibTex DOI: 10.1007/s11075-023-01526-9 ArXiv: 2106.13034
inJournal
2023 Repository Open Access
Nick Dewaele, Paul Breiding and Nick Vannieuwenhoven

Three decompositions of symmetric tensors have similar condition numbers

In: Linear algebra and its applications, 664 (2023), pp. 253-263
BibTex DOI: 10.1016/j.laa.2023.01.020 ArXiv: 2110.04172
Preprint
2022 Repository Open Access
Paul Breiding, Kristian Ranestad and Madeleine Weinstein

Enumerative geometry of curvature of algebraic hypersurfaces

BibTex ArXiv: 2206.09130
inJournal
2022 Journal Open Access
Paul Breiding, Reuven Hodges, Christian Ikenmeyer and Mateusz Michałek

Equations for GL invariant families of polynomials

In: Vietnam journal of mathematics, 50 (2022) 2, pp. 545-556
BibTex DOI: 10.1007/s10013-022-00549-4 ArXiv: 2110.06608
inJournal
2022 Repository Open Access
Paul Breiding and Nick Vannieuwenhoven

Sensitivity of low-rank matrix recovery

In: Numerische Mathematik, 152 (2022) 4, pp. 725-759
BibTex DOI: 10.1007/s00211-022-01327-7 ArXiv: 2103.00531
inJournal
2022 Repository Open Access
Paul Breiding, Peter Bürgisser, Antonio Lerario and Léo Mathis

The zonoid algebra, generalized mixed volumes, and random determinants

In: Advances in mathematics, 402 (2022), p. 108361
BibTex DOI: 10.1016/j.aim.2022.108361 ArXiv: 2109.14996
Preprint
2021 Repository Open Access
Pavle V. M. Blagojević, Paul Breiding and Alexander Heaton

Facet volumes of polytopes

BibTex ArXiv: 2112.08437