In this chapter, induction and abduction are investigated in a non-monotonic reasoning framework. We recall that several meanings can be given to logic-based abduction and induction. In particular, we distinguish explanatory and descriptive induction. Explanatory induction is closely related to abduction. Descriptive induction is related to abduction in a less straightforward way. While both ca...

The construction and use of Suslin representations for sets of reals lies at the heart of descriptive set theory. Indeed, virtually every paper in descriptive set theory in the Cabal Seminar volumes deals with such representations in one way or another. Most of the papers in the section to follow focus on the construction of optimally definable Suslin representations via game-theoretic methods....

Generic health status measures classify patients into different health states. For example, the EQ-5D descriptive system developed by the EuroQol Group classifies patients into 243 health states. Empirical values for the health states are available for only a selection (mostly 12 to 45) of these health states. Several parametric relationships between the descriptive system and the known values ...

Clustering categorical sequences is currently a difficult problem due to the lack of an efficient representation model for sequences. Unlike the existing models, which mainly focus on the fixed-length tuples representation, in this paper, a new representation model on the variablelength tuples is proposed. The variable-length tuples are obtained using a pruning method applied to delete the redu...

Mobile wireless video delivery is still challenging due to its limited bandwidth and dynamic channel status. In this paper, a novel approach named Dubbing Video Slides (DVS) is proposed to cope with the bandwidth limitation problem. Based on a statistical video content importance analysis, DVS method can dynamically select and transmit representative video frames which are relatively more impor...