Zobrazeno 1 - 10
of 1 619
pro vyhledávání: '"Zimmermann, Ralf"'
Autor:
Zimmermann, Ralf, Stoye, Jakob
The injectivity radius of a manifold is an important quantity, both from a theoretical point of view and in terms of numerical applications. It is the largest possible radius within which all geodesics are unique and length-minimizing. In consequence
Externí odkaz:
http://arxiv.org/abs/2405.02268
Autor:
Jensen, Rasmus, Zimmermann, Ralf
Riemannian optimization is concerned with problems, where the independent variable lies on a smooth manifold. There is a number of problems from numerical linear algebra that fall into this category, where the manifold is usually specified by special
Externí odkaz:
http://arxiv.org/abs/2404.08463
Since the popularization of the Stiefel manifold for numerical applications in 1998 in a seminal paper from Edelman et al., it has been exhibited to be a key to solve many problems from optimization, statistics and machine learning. In 2021, H\"uper
Externí odkaz:
http://arxiv.org/abs/2403.11730
Autor:
Stoye, Jakob, Zimmermann, Ralf
Arguably, geodesics are the most important geometric objects on a differentiable manifold. They describe candidates for shortest paths and are guaranteed to be unique shortest paths when the starting velocity stays within the so-called injectivity ra
Externí odkaz:
http://arxiv.org/abs/2403.03782
Autor:
Zimmermann, Ralf, Stoye, Jakob
Methods and algorithms that work with data on nonlinear manifolds are collectively summarized under the term `Riemannian computing'. In practice, curvature can be a key limiting factor for the performance of Riemannian computing methods. Yet, curvatu
Externí odkaz:
http://arxiv.org/abs/2403.01879
Autor:
Zimmermann, Ralf, Bergmann, Ronny
In this paper, we propose two methods for multivariate Hermite interpolation of manifold-valued functions. On the one hand, we approach the problem via computing suitable weighted Riemannian barycenters. To satisfy the conditions for Hermite interpol
Externí odkaz:
http://arxiv.org/abs/2212.07281
Autor:
Cheng, Kai, Zimmermann, Ralf
Publikováno v:
SIAM Journal on Scientific Computing, 2023
Gradient-enhanced Kriging (GE-Kriging) is a well-established surrogate modelling technique for approximating expensive computational models. However, it tends to get impractical for high-dimensional problems due to the size of the inherent correlatio
Externí odkaz:
http://arxiv.org/abs/2204.03562
Autor:
Hartikainen, Anni H., Basnet, Satish, Yli-Pirilä, Pasi, Ihalainen, Mika, Talvinen, Sini, Tissari, Jarkko, Mikkonen, Santtu, Zimmermann, Ralf, Sippula, Olli
Publikováno v:
In Combustion and Flame July 2024 265
Autor:
Freeman, Anthony, Fesq, Lorraine, Matousek, Steven, Karimi, Reza, Zimmermann, Ralf, Steckling, Marc, Winter, Matthias
Publikováno v:
In Acta Astronautica November 2024 224:122-126