Análise de Agrupamentos Com Base na Teoria da Informação: Uma Abordagem Representativa

Currently, one of the biggest challenges for the field of data mining is to perform cluster analysis on complex data. Several techniques have been proposed but, in general, they can only achieve good results within specific areas providing no consensus of what would be the best way to group this kind of data. In general, these techniques fail due to non-realistic assumptions about the true probability distribution of the data. Based on this, this thesis proposes a new measure based on Cross Information Potential that uses representative points of the dataset and statistics extracted directly from data to measure the interaction between groups. The proposed approach allows us to use all advantages of this information-theoretic descriptor and solves the limitations imposed on it by its own nature. From this, two cost functions and three algorithms have been proposed to perform cluster analysis. As the use of Information Theory captures the relationship between different patterns, regardless of assumptions about the nature of this relationship, the proposed approach was able to achieve a better performance than the main algorithms in literature. These results apply to the context of synthetic data designed to test the algorithms in specific situations and to real data extracted from problems of different fields

A Metafísica da luz em Marcílio Ficino.

The aim of the present dissertation constitutes to analyse the way in how light assumes the meaning of universal bond in the cosmovision of Marsilio Ficino, especially from his works Quid sit lumen, De Sole, De Amore and De Vita. The influence of Marsilio Ficino (1433-1499) in the history of occidental thought is impressive. Besides having translated to Latin the important texts of the neoplatonic tradition, Ficino presided over the Academy of Careggi, congregating important humanists in the top of the Renaissance. His treatises on love, beauty, light, magic and immortality of the soul have influenced strongly the production of other thinkers. The subject of light is of fundamental importance among his works since it is deeply related with all the other aspects of his philosophy. For him, light is spiritual emanation that perpasses everything without staining itself. Originated how the divine goodness, the light blows up in beauty in multiplicity, setting fire on the soul that truily contemplates it and that identifies whith it. The starting point of this loving relation between man and deity is, therefore, the physical world, that occults in itself the metaphysical light.