We use the complete Segal approach to theory of Cartesian fibrations define and study representable fibrations, generalizing right which have played a key role in $\infty$-category theory. In particular, we give construction using over-categories prove Yoneda lemma for fibration, generalizes established fibrations. We then objects internal an $\infty$-category. Concretely, {\it fundamental th...

In this paper, we study the stability under convolution of the maximizing distributions of the Tsallis entropy under energy constraint (called hereafter Tsallis distributions). These distributions are shown to obey three important properties: a stochastic representation property, an orthogonal invariance property and a duality property. As a consequence of these properties, the behaviour of Tsa...

Feature construction has been studied extensively, including for 0/1 data samples. Given the recent breakthrough in closedness-related constraint-based mining, we are considering its impact on feature construction for classification tasks. We investigate the use of condensed representations of frequent itemsets (closure equivalence classes) as new features. These itemset types have been propose...