We describe under various conditions abelian subgroups of the automorphism group Aut(Tn) of the regular n-ary tree Tn, which are normalized by the n-ary adding machine τ = (e, . . . , e, τ)στ where στ is the n-cycle (0, 1, . . . , n− 1). As an application, for n = p a prime number, and for n = 4, we prove that every soluble subgroup of Aut(Tn), containing τ is an extension of a torsion-free met...

In this paper we analyze the relations between the latent factors with high variance description and affective parameters in an image recommender system. Using the matrix factorization approach we identify the main two factors in the user-item rating database. We exploit the affective metadata related to each item to identify relations between the main factors and the affective metadata. Result...

Here we build on the result given in [P1] and extend those in [HL2] to functions which are k times differentiable a.e., k > 1. For each k we give, a class of irrational number Sk such that the skew product extension defined by these functions is ergodic for irrational rotations by these numbers. In the second part of this paper we examine the cohomology of functions over the adding machine tran...

The notion of computing seems nowadays to be so synonymous with computers, that we often seem to forget that electronic computers are relatively new players on the world stage, [31]. Indeed, a brief look at the history of humanity shows that since the earliest days people needed to count and compute, either for measuring the months and the seasons or for commerce and constructions. The means us...

The aim of the present work is to investigate whether Japanese listeners can recognize before the end of an utterance various social affective meanings expressed by a speaker. 28 native Japanese subjects participated in the experiment. For this experiment, one sentence consisting of 3 moras is uttered in 8 different social affects. Each affective expression is produced by 4 native Japanese spea...

We report work on adding an improvisational AI actor to an existing virtual improvisational environment, a text-based software system for dramatic improvisation in simple virtual scenarios, for use primarily in learning contexts. The improvisational AI actor has an affect-detection component, which is aimed at detecting affective aspects (concerning emotions, moods, value judgments, etc.) of hu...

This paper focuses on the architecture of affective multimodal user interfaces that exist in e-learning applications. The OO (Object Oriented) approach has been adopted in order to combine evidence from multiple modalities of interaction and data from emotion stereotypes and classify them into well structured objects with their own properties and methods. The proposed architecture can be adopte...

Purpose – A previous contribution (Fourie, 2013) argues in favour of a balance in emphasis between information communication technology (ICT); information retrieval systems (IRS) such as databases, library catalogues, repositories, Google Scholar, digital libraries, portals, search engines; and, the users of these systems. This contribution pursues the need to consider affect and an affective p...

Starting from the English affective lexicon ANEW (Bradley and Lang, 1999a) we have created the first Greek affective lexicon. It contains human ratings for the three continuous affective dimensions of valence, arousal and dominance for 1034 words. The Greek affective lexicon is compared with affective lexica in English, Spanish and Portuguese. The lexicon is automatically expanded by selecting ...