E-Dissertationen: Search
Now showing items 381-386 of 386
Metastability of the Ising model with random interaction coefficients
(2023-02-24)
In this Ph.D. thesis we present results on metastability of random modifications of Ising spin systems which evolve with Glauber dynamics. Their Hamiltonians have random and possibly inhomogeneous interaction coefficients. ...
The Signature Transform in Numerics and Machine Learning
(2024-04-23)
In this work we study the signature transform from the viewpoint of applied and numerical mathematics.
The theoretical background is established in the first part, where the signature is defined as a map going from ......
The theoretical background is established in the first part, where the signature is defined as a map going from ......
Unitary fermionic topological field theory
(2024-02-29)
Atiyah's axioms are one way to define rigorously what is a topological quantum field theory. He defined it as a symmetric monoidal functor from a bordism category to the category of vector spaces. To include fermions in ...
Optimal Numerical Basis Functions in the Partition of Unity Method
(2024-04-08)
Partial differential equations (PDE) arise from the modeling of a wide range of physical problems and knowing how to solve them is of large interest in many industrial undertakings. One numerical method to solve PDE is the ...
Social-aware Robot Navigation based on Deep Reinforcement Learning
(2024-04-24)
With the increase of applications involving autonomous mobile robots, there is a growing need for them to navigate safely and effectively in environments shared with humans. In recent years, social-aware robot navigation ...
Low-dimensional Representations for Diverse Collections of 3D Surface Meshes
(2024-02-29)
The surfaces of 3D shapes are discretized by surface meshes that represent them in a processable way. This enables simulations of deforming components in CAE, animations for movies, or representations of human organs to ...