102 citations · 352 across the 27 of their papers we have counts for
6 papers · 1 filter
Non-deterministic inference using random set models: theory, approximation, and sampling method
Truong-Vinh Hoang, Hermann G. Matthies
A random set is a generalisation of a random variable, i.e. a set-valued random variable. The random set theory allows a unification of other uncertainty descriptions such as inter…
Analysis of Probabilistic and Parametric Reduced Order Models
Hermann G. Matthies
Stochastic models share many characteristics with generic parametric models. In some ways they can be regarded as a special case. But for stochastic models there is a notion of wea…
Analysis of parametric models - linear methods and approximations
Hermann G. Matthies, Roger Ohayon
Parametric models in vector spaces are shown to possess an associated linear map. This linear operator leads directly to reproducing kernel Hilbert spaces and affine- / linear- rep…
Analysis of parametric models for coupled systems
Hermann G. Matthies, Roger Ohayon
In many instances one has to deal with parametric models. Such models in vector spaces are connected to a linear map. The reproducing kernel Hilbert space and affine- / linear- rep…
Accurate computation of conditional expectation for highly non-linear problems
Jaroslav Vondřejc, Hermann G. Matthies
This paper focuses on inverse problems to identify parameters by incorporating information from measurements. These generally ill-posed problems are formulated here in a probabilis…
A novel reduced order model for vortex induced vibrations of long flexible cylinders
Giovanni Stabile, Hermann G. Matthies, Claudio Borri
In this manuscript the development of a reduced order model for the analysis of long flexible cylinders in an offshore environment is proposed. In particular the focus is on the mo…