Alternative ways to estimate change points in multinomial sequences. An application to an authorship attribution problem

The statistical analysis of literary style is the part of stylometry that compares measurable characteristics in a text that are rarely controlled by the author, with those in other texts. When the goal is to settle authorship questions, these characteristics should relate to the author’s style and not to the genre, epoch or editor, and they should be such that their variation between authors is larger than the variation within comparable texts from the same author. For an overview of the literature on stylometry and some of the techniques involved, see for example Mosteller and Wallace (1964, 82), Herdan (1964), Morton (1978), Holmes (1985), Oakes (1998) or Lebart, Salem and Berry (1998). Tirant lo Blanc, a chivalry book, is the main work in catalan literature and it was hailed to be “the best book of its kind in the world” by Cervantes in Don Quixote. Considered by writters like Vargas Llosa or Damaso Alonso to be the first modern novel in Europe, it has been translated several times into Spanish, Italian and French, with modern English translations by Rosenthal (1996) and La Fontaine (1993). The main body of this book was written between 1460 and 1465, but it was not printed until 1490. There is an intense and long lasting debate around its authorship sprouting from its first edition, where its introduction states that the whole book is the work of Martorell (1413?-1468), while at the end it is stated that the last one fourth of the book is by Galba (?-1490), after the death of Martorell. Some of the authors that support the theory of single authorship are Riquer (1990), Chiner (1993) and Badia (1993), while some of those supporting the double authorship are Riquer (1947), Coromines (1956) and Ferrando (1995). For an overview of this debate, see Riquer (1990). Neither of the two candidate authors left any text comparable to the one under study, and therefore discriminant analysis can not be used to help classify chapters by author. By using sample texts encompassing about ten percent of the book, and looking at word length and at the use of 44 conjunctions, prepositions and articles, Ginebra and Cabos (1998) detect heterogeneities that might indicate the existence of two authors. By analyzing the diversity of the vocabulary, Riba and Ginebra (2000) estimates that stylistic boundary to be near chapter 383. Following the lead of the extensive literature, this paper looks into word length, the use of the most frequent words and into the use of vowels in each chapter of the book. Given that the features selected are categorical, that leads to three contingency tables of ordered rows and therefore to three sequences of multinomial observations. Section 2 explores these sequences graphically, observing a clear shift in their distribution. Section 3 describes the problem of the estimation of a suden change-point in those sequences, in the following sections we propose various ways to estimate change-points in multinomial sequences; the method in section 4 involves fitting models for polytomous data, the one in Section 5 fits gamma models onto the sequence of Chi-square distances between each row profiles and the average profile, the one in Section 6 fits models onto the sequence of values taken by the first component of the correspondence analysis as well as onto sequences of other summary measures like the average word length. In Section 7 we fit models onto the marginal binomial sequences to identify the features that distinguish the chapters before and after that boundary. Most methods rely heavily on the use of generalized linear models

Shape complexity based on mutual information

Shape complexity has recently received attention from different fields, such as computer vision and psychology. In this paper, integral geometry and information theory tools are applied to quantify the shape complexity from two different perspectives: from the inside of the object, we evaluate its degree of structure or correlation between its surfaces (inner complexity), and from the outside, we compute its degree of interaction with the circumscribing sphere (outer complexity). Our shape complexity measures are based on the following two facts: uniformly distributed global lines crossing an object define a continuous information channel and the continuous mutual information of this channel is independent of the object discretisation and invariant to translations, rotations, and changes of scale. The measures introduced in this paper can be potentially used as shape descriptors for object recognition, image retrieval, object localisation, tumour analysis, and protein docking, among others

La Llengua de l'heroi: notes sobre la llengua del segle XX a partir de les traduccions catalanes de David Copperfield de Charles Dickens

Estudi comparatiu de les dues traduccions catalanes publicades de David Copperfield de Charles Dickens. La primera de Josep Carner feta l’any 1930 però publicada el 1964 i la segona obra de Joan Sellent del 2003. L’anàlisi mostra que ambdues traduccions, excel·lents, reflecteixen una evolució singular i força accelerada del model de llengua que els traductors fan arribar al seu públic, que és reflex de la complexa història de la llengua catalana del segle xx, que encara s’ha d’escriure.

La primera traducció goldoniana al català: La viuda astuta de Vicenç Albertí i Vidal. Manuscrit, traducció i context

La part A és un estudi filològic introductori de l'obra teatral La viuda astuta, de 1818, traduïda al menorquí per Vicenç Albertí i Vidal de l'obra La vedova scaltra de Carlo Goldoni. Hi torbem un recorregut per la vida, obra, marc intel·lectual i trajectòria de la activitat traductora d'Albertí. Així mateix hi trobem una localització de La vedova Scaltra dins la primera etapa de la reforma goldoniana. I finalment s'hi desenvolupa l'estudi comparatiu-lingüístic de La vedova Scaltra amb la versió catalana d'Albertí. La part B consta de la transcripció comentada, amb 153 notes, del manuscrit de La viuda astuta. La part C és la transcripció integral de l'obra original, seguint l'edició Giuseppe Ortolani, 1936, que s'acara amb la part D que és la traducció catalana realitzada per la doctoranda.