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...

We prove some unconditional cases of the Existential Closedness problem for modular $j$-function. For this, we show that any finitely generated field can find a "convenient" set generators. This is done by showing in equipped with functions replicating algebraic behaviour $j$-function and its derivatives, one define natural closure operator three equivalent different ways.