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- Thomas Streubel, Karl-Heinz Hoffmann
- 2014 IEEE Intelligent Vehicles Symposium…
- 2014

The complexity of situations occurring at intersections is demanding on the cognitive abilities of drivers. Advanced Driver Assistance Systems (ADAS) are intended to assist particularly in those situations. However, for adequate system reaction strategies it is essential to develop situation assessment. Especially the driver's intention has to be estimated.… (More)

- Jörg Lässig, Karl-Heinz Hoffmann, Mihaela Enachescu
- GECCO
- 2008

The paper considers the problem of selecting individuals in the current population in Genetic Algorithms for crossover to find a solution of high fitness of a given combinatorial optimization problem. Many different schemes have been considered in literature as possible selection strategies, such as Windowing, Exponential reduction, Linear transformation or… (More)

- Oliver Wirths, Karin Thelen, +5 authors Thomas A Bayer
- Experimental gerontology
- 2006

A large number of studies deals with the association of cholesterol and Abeta levels, however, the results are so far controversial. Whereas some studies report on increased cholesterol levels, other authors refer to an association of decreased peripheral cholesterol and the incidence of Alzheimer's disease. It is also questionable whether plasma… (More)

- Janett Prehl, Christopher Essex, Karl-Heinz Hoffmann
- Entropy
- 2012

In this paper we utilize the Tsallis relative entropy, a generalization of the Kullback–Leibler entropy in the frame work of non-extensive thermodynamics to analyze the properties of anomalous diffusion processes. Anomalous (super-) diffusive behavior can be described by fractional diffusion equations, where the second order space derivative is extended to… (More)

- Janett Prehl, Frank Boldt, Christopher Essex, Karl-Heinz Hoffmann
- Entropy
- 2013

The entropy production paradox for anomalous diffusion processes describes a phenomenon where one-parameter families of dynamical equations, falling between the diffusion and wave equations, have entropy production rates (Shannon, Tsallis or Renyi) that increase toward the wave equation limit unexpectedly. Moreover, also surprisingly, the entropy does not… (More)

- Sven Schubert, Karl-Heinz Hoffmann
- Computer Physics Communications
- 2006

- Astrid Franz, Karl-Heinz Hoffmann
- Appl. Math. Lett.
- 2003

- Peter Salamon, Karl-Heinz Hoffmann, Anatoly Tsirlin
- Appl. Math. Lett.
- 2012

The optimal control for cooling a quantum harmonic oscillator by controlling its frequency is considered. It is shown that this singular problem may be transformed with the proper choice of coordinates to an equivalent problemwhich is no longer singular. The coordinates used are sufficiently simple that a graphical solution is possible and eliminates the… (More)

- Karl-Heinz Hoffmann, Peter Salamon
- Appl. Math. Lett.
- 2009

Forming lumped states in a Markov chain is a very useful device leading to a coarser level of description. The Markov chain on these lumped states is often taken as an approximation for the time evolution of the unlumped chain. In the present work we derive a bound on the error in this approximation.

- Karl-Heinz Hoffmann, Michael Hofmann, Gudula Rünger, Steffen Seeger
- Euro-Par
- 2006

We consider the use of task pool teams in implementation of the master equation on random Sierpinski carpets. Though the basic idea of dynamic storage of the probability density reported earlier applies straightforward to random carpets, the randomized construction breaks up most of the simplifications possible for regular carpets. In addition, parallel… (More)