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Renato Fabbri

Publications and source records attributed to Renato Fabbri.

21 records · Page 2Linked to original sources

A Quantitative Approach to Painting Styles

This research extends a method previously applied to music and philosophy,representing the evolution of art as a time-series where relations like dialectics are measured quantitatively. For that, a corpus of paintings of 12 well-known artists from baroque and modern art is analyzed. A set of 93 features is extracted and the features which most contributed to the classification of painters are selected. The projection space obtained provides the basis to the analysis of measurements. This quantitative measures underlie revealing observations about the evolution of painting styles, specially when compared with other humanity fields already analyzed: while music evolved along a master-apprentice tradition (high dialectics) and philosophy by opposition, painting presents another pattern: constant increasing skewness, low opposition between members of the same movement and opposition peaks in the transition between movements. Differences between baroque and modern movements are also observed in the projected "painting space": while baroque paintings are presented as an overlapped cluster, the modern paintings present minor overlapping and are disposed more widely in the projection than the baroque counterparts. This finding suggests that baroque painters shared aesthetics while modern painters tend to "break rules" and develop their own style.

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Can the evolution of music be analyzed in a quantitative manner?

We propose a methodology to study music development by applying multivariate statistics on composers characteristics. Seven representative composers were considered in terms of eight main musical features. Grades were assigned to each characteristic and their correlations were analyzed. A bootstrap method was applied to simulate hundreds of artificial composers influenced by the seven representatives chosen. Afterwards we quantify non-numeric relations like dialectics, opposition and innovation. Composers differences on style and technique were represented as geometrical distances in the feature space, making it possible to quantify, for example, how much Bach and Stockhausen differ from other composers or how much Beethoven influenced Brahms. In addition, we compared the results with a prior investigation on philosophy. Opposition, strong on philosophy, was not remarkable on music. Supporting an observation already considered by music theorists, strong influences were identified between composers by the quantification of dialectics, implying inheritance and suggesting a stronger master-disciple evolution when compared to the philosophy analysis.

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Philosometrics

The hypothesis that philosophy is driven by difference/innovation is checked in a quantitative manner. This was performed by assigning grades to eight main philosophical features with respect to seven prominent philosophers, which allowed sound concepts from multivariate statistics and pattern recognition to be applied. A number of insights could then be inferred about the way in which philosophy has been developed. For instance, the evolution of philosophy can be represented as a trajectory on a plane (two instead of the eight original dimensions) whose axes are defined by a linear combination of the philosophical characteristics considered. In addition, all the philosophical moves have been verified to oppose the prevailing philosophical state. We also identified an intense and progressive trend toward dialectics.

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