In this paper we are interested in the order structure induced by the relations ’before’ and ’meets’ of Allen’s interval algebra. We provide an abstract definition of this kind of order structure called an interval order. We prove that every interval order is isomorphic to the corresponding order on a set of finite intervals over a linear order without endpoints. As a consequence of this charac...

Temporal Data Mining is the study of pattern searches in time-dependent data. Time-dependent data is generated in a natural way in many different application scenarios. This thesis is motivated by three applications from the automotive industry which produce time-dependent data in the form of interval sequences. Each interval of an interval sequence describes the occurrence of a certain event o...

When comparing the citation impact of nations, departments or other groups of researchers within individual fields, three approaches have been proposed: arithmetic means, geometric means, and percentage in the top X%. This article compares the precision of these statistics using 97 trillion experimentally simulated citation counts from 6875 sets of different parameters (although all having the ...