Teaching Cultural Heritage using Mobile Augmented Reality

open2noThe relationship between augmented reality, mobile learning, gamification and non-formal education methods provide a great potential. The AR-CIMUVE Augmented Reality for the Walled Cities of the Veneto is an original project in collaboration with Italia Nostra and other associations which deal with transmitting our cultural heritage and which teach primary and middle school children the cultural and historical importance of the Veneto’s and the surrounding territories’ walled cities. In this learning experience students will explore how our environment has developed across the ages using the mobile devices with the technical back-up of the AR App. This will allow them to see maps, examine data, 3D models and will enable them to judge and improve their skills. From a pedagogical and educational point of view the emphasis is on a constructivist social-cultural approach which helps students to become active citizens more aware of their historical identity.openPetrucco, Corrado; Agostini, DanielePetrucco, Corrado; Agostini, Daniel

Moment Identifiability of Homoscedastic Gaussian Mixtures

We consider the problem of identifying a mixture of Gaussian distributions with same unknown covariance matrix by their sequence of moments up to certain order. Our approach rests on studying the moment varieties obtained by taking special secants to the Gaussian moment varieties, defined by their natural polynomial parametrization in terms of the model parameters. When the order of the moments is at most three, we prove an analogue of the Alexander-Hirschowitz theorem classifying all cases of homoscedastic Gaussian mixtures that produce defective moment varieties. As a consequence, identifiability is determined when the number of mixed distributions is smaller than the dimension of the space. In the two component setting we provide a closed form solution for parameter recovery based on moments up to order four, while in the one dimensional case we interpret the rank estimation problem in terms of secant varieties of rational normal curves.Comment: 27 pages, 1 table, 1 figur

Asymptotic syzygies of algebraic varieties

The purpose of this thesis is to expose some results relative to the asymptotic behaviour of the graded Betti numbers of algebraic varieties, as the positivity of the embedding grows. The first part presents the basic definitions and results relative to to the language of graded Betti numbers and Koszul cohomology. The second part is dedicated to the recent results of L. Ein and R. Lazarsfeld relative to the asymtpotic shape of the Betti table of a positive embedding of a smooth variety, and to the conjecture of L. Ein, D. Erman and R. Lazarsfeld of the asymptotic normality of the Betti numbers. The third part specializes the problem to that of Betti numbers of Veronese embeddings for the projective plane, and presents a technique for computing the graded Betti numbers using representation theory. The appendix recalls some results on algebraic groups, in particular representations of SL(n)

The maximum likelihood degree of Fermat hypersurfaces

We study the critical points of the likelihood function over the Fermat hypersurface. This problem is related to one of the main problems in statistical optimization: maximum likelihood estimation. The number of critical points over a projective variety is a topological invariant of the variety and is called maximum likelihood degree. We provide closed formulas for the maximum likelihood degree of any Fermat curve in the projective plane and of Fermat hypersurfaces of degree 2 in any projective space. Algorithmic methods to compute the ML degree of a generic Fermat hypersurface are developed throughout the paper. Such algorithms heavily exploit the symmetries of the varieties we are considering. A computational comparison of the different methods and a list of the maximum likelihood degrees of several Fermat hypersurfaces are available in the last section.Comment: Final version. Accepted for publication on Journal of Algebraic Statistic

HOW TO MANAGE THE ORGANIZATIONAL CONFLICT IN THE ASPECT OF PEOPLE MANAGEMENT

This work aims to analyze how organizational conflicts interfere in interpersonal relationships in the work team, since, due to the constant search for success, companies require a lot from their employees, placing them in times of anxiety and stress, influencing disagreements and conflicts. For the study in question, a bibliographic search was carried out. Books, articles, theses and monographs were used, in order that this work may enable an aid in the construction of knowledge about the theme of conflicts, a subject rarely addressed in contemporary times, being essential to a good corporate performance. It is concluded that the conflict is inevitable nowadays and that the reactions of the individuals will vary according to the way in which the conflict is managed. There is no universal method of management, but one that best fits each situation