Numerical Nonlinear Algebra
Head:
Simon Telen
Phone:
+49 (0) 341 - 9959 - 824
Fax:
+49 (0) 341 - 9959 - 658
Address:
Inselstr. 22
04103 Leipzig
Publications Simon Telen
Journal Articles
Bernd Sturmfels ; Simon Telen ; François-Xavier Vialard and Max von Renesse:
Toric geometry of entropic regularization
In: Journal of symbolic computation,
120 (2024), 102221
Bibtex DOI: 10.1016/j.jsc.2023.102221 ARXIV: https://arxiv.org/abs/2202.01571Daniele Agostini ; Taylor Brysiewicz ; Claudia Fevola ; Lukas Kühne ; Bernd Sturmfels and Simon Telen:
Likelihood degenerations
In: Advances in mathematics,
414 (2023), 108863
Bibtex DOI: 10.1016/j.aim.2023.108863 ARXIV: https://arxiv.org/abs/2107.10518 CODE: https://mathrepo.mis.mpg.de/LikelihoodDegenerationsMichael Borinsky ; Anna-Laura Sattelberger ; Bernd Sturmfels and Simon Telen:
Bayesian integrals on toric varieties
In: SIAM journal on applied algebra and geometry,
7 (2023) 1, p. 77-103
Bibtex DOI: 10.1137/22M149056 ARXIV: https://arxiv.org/abs/2204.06414 CODE: https://mathrepo.mis.mpg.de/BayesianIntegralsTimothy Duff ; Simon Telen ; Elise Walker and Thomas Yahl:
Polyhedral homotopies in Cox coordinates
In: Journal of algebra and its applications,
Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1142/S0219498824500737 ARXIV: https://arxiv.org/abs/2012.04255 CODE: https://mathrepo.mis.mpg.de/CoxHomotopies/Matías R. Bender and Simon Telen:
Toric eigenvalue methods for solving sparse polynomial systems
In: Mathematics of computation,
91 (2022) 337, p. 2397-2429
Bibtex DOI: 10.1090/mcom/3744 ARXIV: https://arxiv.org/abs/2006.10654Sebastian Mizera and Simon Telen:
Landau discriminants
In: Journal of high energy physics,
2022 (2022) 8, 200
Bibtex DOI: 10.1007/JHEP08(2022)200 ARXIV: https://arxiv.org/abs/2109.08036 CODE: https://mathrepo.mis.mpg.de/LandauSimon Telen and Nick Vannieuwenhoven:
A normal form algorithm for tensor rank decomposition
In: ACM transactions on mathematical software,
48 (2022) 4, 38
Bibtex DOI: 10.1145/3555369 ARXIV: https://arxiv.org/abs/2103.07411Bernard Mourrain ; Simon Telen and Marc Van Barel:
Truncated normal forms for solving polynomial systems : generalized and efficient
algorithms
In: Journal of symbolic computation,
102 (2021), p. 63-85
Bibtex DOI: 10.1016/j.jsc.2019.10.009 ARXIV: https://arxiv.org/abs/1803.07974Bernd Sturmfels and Simon Telen:
Likelihood equations and scattering amplitudes
In: Algebraic statistics,
12 (2021) 2, p. 167-186
Bibtex DOI: 10.2140/astat.2021.12.167 ARXIV: https://arxiv.org/abs/2012.05041Simon Telen ; Sascha Timme and Marc Van Barel:
Backward error measures for roots of polynomials
In: Numerical algorithms,
87 (2021) 1, p. 19-39
Bibtex DOI: 10.1007/s11075-020-00956-z ARXIV: https://arxiv.org/abs/2003.09618Simon Telen:
Numerical root finding via Cox rings
In: Journal of pure and applied algebra,
224 (2020) 9, 106367
Bibtex DOI: 10.1016/j.jpaa.2020.106367 ARXIV: https://arxiv.org/abs/1903.12002Simon Telen ; Marc Van Barel and Jan Verschelde:
A robust numerical path tracking algorithm for polynomial homotopy continuation
In: SIAM journal on scientific computing,
42 (2020) 6, p. A3610-A3637
Bibtex DOI: 10.1137/19M1288036 ARXIV: https://arxiv.org/abs/1909.04984Simon Telen ; Bernard Mourrain and Marc Van Barel:
Solving polynomial systems via truncated normal forms
In: SIAM journal on matrix analysis and applications,
39 (2018) 3, p. 1421-1447
Bibtex DOI: 10.1137/17M1162433 ARXIV: https://arxiv.org/abs/1711.04543Simon Telen and Marc Van Barel:
A stabilized normal form algorithm for generic systems of polynomial equations
In: Journal of computational and applied mathematics,
342 (2018), p. 119-132
Bibtex DOI: 10.1016/j.cam.2018.04.021 ARXIV: https://arxiv.org/abs/1708.07670Publications in Books and Conference Proceedings
Simon Telen ; Marc Van Barel and Jan Verschelde:
Robust numerical tracking of one path of a polynomial homotopy on parallel shared
memory computers
In: Computer algebra in scientific computing : 22nd international workshop, CASC 2020,
Linz, Austria, September 14-18, 2020 ; proceedings / Francois Boulier... (eds.)
Cham : Springer, 2020. - P. 563-582
(Lecture notes in computer science ; 12291)
Bibtex DOI: 10.1007/978-3-030-60026-6_33 ARXIV: https://arxiv.org/abs/2002.09504Preprints
Saiei-Jaeyeong Matsubara-Heo and Simon Telen:
Twisted cohomology and likelihood ideals
Repository Open AccessDaniele Agostini ; Claudia Fevola ; Anna-Laura Sattelberger and Simon Telen:
Vector spaces of generalized Euler integrals
Repository Open AccessPaul Breiding ; Mateusz Michałek ; Leonid Monin and Simon Telen:
The algebraic degree of coupled oscillators
Repository Open AccessRob Claes ; Karl Meerbergen and Simon Telen:
Contour integration for eigenvector nonlinearities
Repository Open AccessDimitrii Pavlov ; Bernd Sturmfels and Simon Telen:
Gibbs manifolds
Repository Open AccessSimon Telen:
Introduction to toric geometry
Repository Open AccessSimon Telen:
Polynomial equations: theory and practice
Repository Open AccessMatías R. Bender and Simon Telen:
Yet another eigenvalue algorithm for solving polynomial systems
Repository Open AccessKathlén Kohn ; Ragni Piene ; Kristian Ranestad ; Felix Rydell ; Boris Shapiro ; Rainer Sinn ; Miruna-Stefana Sorea and Simon Telen:
Adjoints and canonical forms of polypols
Repository Open Access