Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Simon Telen"'
Autor:
Sebastian Mizera, Simon Telen
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-57 (2022)
Abstract Scattering amplitudes in quantum field theories have intricate analytic properties as functions of the energies and momenta of the scattered particles. In perturbation theory, their singularities are governed by a set of nonlinear polynomial
Externí odkaz:
https://doaj.org/article/278193e0f9af482cb644123b052c4985
Publikováno v:
SciPost Physics Lecture Notes, p 75 (2023)
These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the divers
Externí odkaz:
https://doaj.org/article/f26035fb89d64fce871442078cc3e358
Autor:
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels, Simon Telen, Thomas Lam
Publikováno v:
Advances in Mathematics, 414
Computing all critical points of a monomial on a very affine variety is a fundamental task in algebraic statistics, particle physics and other fields. The number of critical points is known as the maximum likelihood (ML) degree. When the variety is s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4753a0637f7ffb403d07c3435387b44
https://ir.cwi.nl/pub/32937
https://ir.cwi.nl/pub/32937
Autor:
Matías Bender, Simon Telen
Publikováno v:
Mathematical Computation, 91, 2397-2429
We consider the problem of computing homogeneous coordinates of points in a zero-dimensional subscheme of a compact, complex toric variety X X . Our starting point is a homogeneous ideal I I in the Cox ring of X X , which in practice might arise from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b83b71872bd241bbb88e2258c84fd75
https://ir.cwi.nl/pub/32949
https://ir.cwi.nl/pub/32949
We explore the positive geometry of statistical models in the setting of toric varieties. Our focus lies on models for discrete data that are parameterized in terms of Cox coordinates. We develop a geometric theory for computations in Bayesian statis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b778dc51bb117f769d12fcb79b2d45cc
Publikováno v:
ACM Communications in Computer Algebra. 52:78-81
In this poster we present the results of [10]. We consider the problem of finding the common roots of a set of polynomial functions defining a zero-dimensional ideal I in a ring R of polynomials over C. We propose a general algebraic framework to fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c178eb1baa82a9bf700a4a5c344f0984
https://doi.org/10.1145/3313880.3313888
https://doi.org/10.1145/3313880.3313888
Autor:
Simon Telen, Nick Vannieuwenhoven
We propose a new numerical algorithm for computing the tensor rank decomposition or canonical polyadic decomposition of higher-order tensors subject to a rank and genericity constraint. Reformulating this computational problem as a system of polynomi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98fc8eae0f39e9001f3f8dcd31336d20
We analyze different measures for the backward error of a set of numerical approximations for the roots of a polynomial. We focus mainly on the element-wise mixed backward error introduced by Mastronardi and Van Dooren, and the tropical backward erro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40377c0c4ce6588e7a27b5fa2643aeb5
Autor:
Bernd Sturmfels, Simon Telen
We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions to rationa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50a103ff66f679da70516e46417c37b7
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783030600259
CASC
CASC
We consider the problem of tracking one solution path defined by a polynomial homotopy on a parallel shared memory computer. Our robust path tracker applies Newton's method on power series to locate the closest singular parameter value. On top of tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c689846e8a0de7c90c1efcc3f2a0b53
https://lirias.kuleuven.be/handle/123456789/650799
https://lirias.kuleuven.be/handle/123456789/650799