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Numerical Nonlinear Algebra - Publications

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

Preprint
2024 Repository Open Access
Zaïneb Bel-Afia, Chiara Meroni and Simon Telen

Chebyshev varieties

BibTex

 ArXiv: 2401.12140
inJournal
2024 Repository Open Access
Mareike Dressler, Marina Garrote-López, Guido Montúfar, Kemal Rose and Johannes Müller

Algebraic optimization of sequential decision problems

In: Journal of symbolic computation, 121 (2024), p. 102241

BibTex

 DOI: 10.1016/j.jsc.2023.102241 ArXiv: 2211.09439
inJournal
2024 Repository Open Access
Timothy Duff, Simon Telen, Elise Walker and Thomas Yahl

Polyhedral homotopies in Cox coordinates

In: Journal of algebra and its applications, 23 (2024) 4, p. 2450073

BibTex

 DOI: 10.1142/S0219498824500737 ArXiv: 2012.04255 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Claudia Fevola, Sebastian Mizera and Simon Telen

Landau singularities revisited : computational algebraic geometry for Feynman integrals

In: Physical review letters, 132 (2024) 10, p. 101601

BibTex

 DOI: 10.1103/PhysRevLett.132.101601 ArXiv: 2311.14669 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Dimitrii Pavlov and Simon Telen

Santaló geometry of convex polytopes

BibTex

 ArXiv: 2402.18955 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Kristian Ranestad, Rainer Sinn and Simon Telen

Adjoints and canonical forms of tree amplituhedra

BibTex

 ArXiv: 2402.06527
Preprint
2024 Repository Open Access
Kemal Rose

The polyhedral type of a polynomial map on the plane

BibTex

 ArXiv: 2402.08993 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221

BibTex

 DOI: 10.1016/j.jsc.2023.102221 ArXiv: 2202.01571
inJournal
2023 Repository Open Access
Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya and Kemal Rose

Lines on \(p\)-adic and real cubic surfaces

In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162

BibTex

 DOI: 10.1007/s12188-023-00269-7 ArXiv: 2202.03489 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Barbara Betti, Alessio Moscariello, Francesco Romeo and Jyoti Singh

F-threshold of determinantal rings

BibTex

 ArXiv: 2309.17376
Preprint
2023 Repository Open Access
Barbara Betti, Marta Panizzut and Simon Telen

Solving equations using Khovanskii bases

BibTex

 ArXiv: 2306.14871 Code: mathrepo.mis.mpg.de
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
Rob Claes, Karl Meerbergen and Simon Telen

Contour integration for eigenvector nonlinearities

In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1619-1644

BibTex

 DOI: 10.1137/22M1497985 ArXiv: 2205.12367
Preprint
2023 Repository Open Access
Eliana Duarte, Dimitrii Pavlov and Maximilian Wiesmann

Algebraic geometry of quantum graphical models

BibTex

 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Sebastian Falkensteiner, Dimitrii Pavlov and Rafael Sendra

On real and observable realizations of input-output equations

BibTex

 ArXiv: 2303.16799
Preprint
2023 Repository Open Access
Claudia Fevola, Sebastian Mizera and Simon Telen

Principal Landau determinants

BibTex

 ArXiv: 2311.16219 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Fulvio Gesmundo, Leonie Kayser and Simon Telen

Hilbert functions of chopped ideals

BibTex

 ArXiv: 2307.02560

MiS Preprint

 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Julia Lindberg, Leonid Monin and Kemal Rose

A polyhedral homotopy algorithm for computing critical points of polynomial programs

BibTex

 ArXiv: 2302.04117
Preprint
2023 Repository Open Access
Julia Lindberg, Leonid Monin and Kemal Rose

The algebraic degree of sparse polynomial optimization

BibTex

 ArXiv: 2308.07765
inJournal
2023 Journal Open Access
Yannik Mahlau, Leonie Kayser and Lukas Berg

[Re] On explainability of graph neural networks via subgraph explorations

In: ReScience C, (2023)

BibTex

 DOI: 10.5281/zenodo.8173753 Link: rescience.github.io Code: github.com
Preprint
2023 Repository Open Access
Yelena Mandelshtam, Dimitrii Pavlov and Elizabeth Pratt

Combinatorics of \(m=1\) Grasstopes

BibTex

 ArXiv: 2307.09603 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera and Simon Telen

Four lectures on Euler integrals

In: SciPost physics lecture notes, 2023 (2023), p. 75

BibTex

 DOI: 10.21468/SciPostPhysLectNotes.75 ArXiv: 2306.13578
Preprint
2023 Repository Open Access
Saiei-Jaeyeong Matsubara-Heo and Simon Telen

Twisted cohomology and likelihood ideals

BibTex

 ArXiv: 2301.13579 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Dimitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)

BibTex

 DOI: 10.1007/s41884-023-00111-2 ArXiv: 2211.15490 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Dimitrii Pavlov

Logarithmically sparse symmetric matrices

BibTex

 ArXiv: 2301.10042
Preprint
2023 Repository Open Access
Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited

BibTex

 ArXiv: 2306.13015 Code: mathrepo.mis.mpg.de
Preprint
2022 Repository Open Access
Kemal Rose

Multi-degrees in polynomial optimization

BibTex

 ArXiv: 2209.10670

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)