Many practical environmental assessment and management tasks are tasks which need to cross boundaries, in particular thematic, spatial, political and organisational boundaries. Typical examples are cross-border management of emergencies in Europe, eg flood management, where an IT system in practice would have to integrate data and information processess across at least 4 countries and at 6 to 8...

We explore the reprogramming capabilities of computer programs by means of cellular automata (CA). We show a series of crossing boundary results including Wolfram Class 1 Elementary Cellular Automata (ECA) emulating a Class 2 ECA, a Class 2 ECA emulating a Class 3 ECA, and a Class 3 ECA emulating a Class 2 ECA, among results of similar type for general CA (neighbourhood range r = 3/2) including...

We introduce a $\mathbb{Z}$-valued cross ratio on Roller boundaries of ${\rm CAT(0)}$ cube complexes. motivate its relevance by showing that every cross-ratio preserving bijection uniquely extends to cubical isomorphism. Our results are strikingly general and even apply infinite dimensional, locally complexes with trivial automorphism group.

The accuracy of forward models for electroencephalography (EEG) partly depends on head tissues geometry and strongly affects the reliability of the source reconstruction process, but it is not yet clear which brain regions are more sensitive to the choice of different model geometry. In this paper we compare different spherical and realistic head modeling techniques in estimating EEG forward so...

In instance-based learning, a training set is given to a classifier for classifying new instances. In practice, not all information in the training set is useful for classifiers. Therefore, it is convenient to discard irrelevant instances from the training set. This process is known as instance reduction, which is an important task for classifiers since through this process the time for classif...