Geometry and Photometry in 3D Visual Recognition

The report addresses the problem of visual recognition under two sources of variability: geometric and photometric. The geometric deals with the relation between 3D objects and their views under orthographic and perspective projection. The photometric deals with the relation between 3D matte objects and their images under changing illumination conditions. Taken together, an alignment-based method is presented for recognizing objects viewed from arbitrary viewing positions and illuminated by arbitrary settings of light sources.

Relative Contributions of Internal and External Features to Face Recognition

The central challenge in face recognition lies in understanding the role different facial features play in our judgments of identity. Notable in this regard are the relative contributions of the internal (eyes, nose and mouth) and external (hair and jaw-line) features. Past studies that have investigated this issue have typically used high-resolution images or good-quality line drawings as facial stimuli. The results obtained are therefore most relevant for understanding the identification of faces at close range. However, given that real-world viewing conditions are rarely optimal, it is also important to know how image degradations, such as loss of resolution caused by large viewing distances, influence our ability to use internal and external features. Here, we report experiments designed to address this issue. Our data characterize how the relative contributions of internal and external features change as a function of image resolution. While we replicated results of previous studies that have shown internal features of familiar faces to be more useful for recognition than external features at high resolution, we found that the two feature sets reverse in importance as resolution decreases. These results suggest that the visual system uses a highly non-linear cue-fusion strategy in combining internal and external features along the dimension of image resolution and that the configural cues that relate the two feature sets play an important role in judgments of facial identity.

Hilbert space on probability density functions with Aitchison geometry

Compositional data analysis motivated the introduction of a complete Euclidean structure in the simplex of D parts. This was based on the early work of J. Aitchison (1986) and completed recently when Aitchinson distance in the simplex was associated with an inner product and orthonormal bases were identified (Aitchison and others, 2002; Egozcue and others, 2003). A partition of the support of a random variable generates a composition by assigning the probability of each interval to a part of the composition. One can imagine that the partition can be refined and the probability density would represent a kind of continuous composition of probabilities in a simplex of infinitely many parts. This intuitive idea would lead to a Hilbert-space of probability densities by generalizing the Aitchison geometry for compositions in the simplex into the set probability densities

Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Central notations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform. In this way very elaborated aspects of mathematical statistics can be understood easily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating, combination of likelihood and robust M-estimation functions are simple additions/ perturbations in A2(Pprior). Weighting observations corresponds to a weighted addition of the corresponding evidence. Likelihood based statistics for general exponential families turns out to have a particularly easy interpretation in terms of A2(P). Regular exponential families form finite dimensional linear subspaces of A2(P) and they correspond to finite dimensional subspaces formed by their posterior in the dual information space A2(Pprior). The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P. The discussion of A2(P) valued random variables, such as estimation functions or likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

The Japanese Business System: Key Features and Prospects for Change

This paper argues that the Japanese business system cannot be adequately understood without extending the focus of analysis beyond the individual firm to the vertical keiretsu, or business group. The vertical group or keiretsu structure was first identified and studied in the auto and electronics industries, where it is most strongly marked, but it characterizes virtually all sectors, service industries as well as manufacturing. Large industrial vertical keiretsu are composed of subsidiaries engaged in three distinct types of activities (manufacturing, marketing, and quasirelated business). The coordination and control systems are built on the flows of products, financial resources, information and technology, and people across formal company boundaries, with the parent firm controlling the key flows. The paper examines the prevailing explanations first for the emergence and then for the persistence of the vertical group structure, and looks at the current pressures for change and adaptation in the system.

New Features of CoDaPack. An Userfriendly Compositional Data Package

The statistical analysis of compositional data is commonly used in geological studies. As is well-known, compositions should be treated using logratios of parts, which are difficult to use correctly in standard statistical packages. In this paper we describe the new features of our freeware package, named CoDaPack, which implements most of the basic statistical methods suitable for compositional data. An example using real data is presented to illustrate the use of the package

Vertebrates Limb Geometry in the Simplex space

A novel metric comparison of the appendicular skeleton (fore and hind limb) of different vertebrates using the Compositional Data Analysis (CDA) methodological approach it’s presented. 355 specimens belonging in various taxa of Dinosauria (Sauropodomorpha, Theropoda, Ornithischia and Aves) and Mammalia (Prothotheria, Metatheria and Eutheria) were analyzed with CDA. A special focus has been put on Sauropodomorpha dinosaurs and the Aitchinson distance has been used as a measure of disparity in limb elements proportions to infer some aspects of functional morphology

Clinical features and treatment response in social phobia : Axis II comorbidity and social phobia subtypes

Resumen tomado de la publicaci??n

Early psychopathological features in Spanish adolescents

Resumen tomado de la publicaci??n

Hyperbolic Geometry

Exercises, exam questions and solutions for a fourth year hyperbolic geometry course. Diagrams for the questions are all together in the support.zip file, as .eps files

Using Word Count features in MS Word 2010

Knowing the number of words in a Word 2010 document or in a text selection within a file can be very useful. See how to use Word’s word count features. For best viewing Download the video.

Using Word Count features in MS Word 2011

Knowing the number of words in a Word 2011 document or in a text selection within a file can be very useful. See how to use Word’s word count features. For best viewing Download the video.

Experimental study of textual development in Spanish students of English as a foreign language in segundo de bachillerato : features of written register in compositions of argumentative genre.

Esta investigación pretende, por un lado, describir y explicar los rasgos orales de las redacciones de los estudiantes españoles de inglés como lengua extranjera; y, por otro, intentar mejorar el estilo escrito de los textos de estos estudiantes a través de una intervención pedagógica.. Se diseña y aplica un tratamiento pedagógico a un grupo de estudiantes de segundo de bachillerato de Madrid. La instrucción se centra en hacerles conscientes de los recursos lingüísticos disponibles en inglés para la redacción de un texto. Se comparan las composiciones escritas por los estudiantes antes del tratamiento experimental con sus producciones posteriores, así como con un grupo de control del mismo instituto que no recibe ninguna instrucción. Se cotejan los textos en inglés con redacciones escritas en español por los estudiantes del grupo experimental. Asimismo, los textos escritos en inglés después del tratamiento experimental se comparan con redacciones de un grupo de estudiantes nativos de secundaria. Se analizan dos variables, para las que el estudio aporta sendos instrumentos de medida, la calidad y el grado de estilo escrito de los textos. La comparación de los textos escritos en español y en inglés de los estudiantes españoles del grupo experimental revela que las redacciones en la lengua materna son superiores en relación a su calidad pero no al grado de estilo escrito. Varios resultados estadísticos apuntan que el tratamiento recibido por el grupo experimental contribuye al desarrollo del grado de estilo escrito de los textos en inglés pero no mejora la calidad global de los mismos. Los resultados revelan que el grupo experimental es similar a los nativos en el grado de estilo escrito, aunque éste último supera a los estudiantes del inglés como lengua extranjera en la 'calidad' de los textos. Este estudio concluye que la impronta oral de las redacciones de los estudiantes de inglés como lengua extranjera puede deberse a la combinación de varios factores, la competencia discursiva en la lengua materna, la competencia lingüística/discursiva en la lengua objeto de aprendizaje, el conocimiento socio-cultural y lingüístico de adecuación contextual y el tipo de pedagogía en inglés como lengua extranjera.

Teaching and learning geometry : issues and methods in mathematical education.

Recurso para la evaluación de la enseñanza y el aprendizaje de la geometría en la enseñanza secundaria desde la perspectiva de los nuevos docentes y de los que tienen más experiencia. Está diseñado para ampliar y profundizar el conocimiento de la materia y ofrecer consejos prácticos e ideas para el aula en el contexto de la práctica y la investigación actual. Hace especial hincapié en: comprender las ideas fundamentales del currículo de geometría; el aprendizaje de la geometría de manera efectiva; la investigación y la práctica actual; las ideas erróneas y los errores; el razonamiento de la geometría; la solución de problemas; el papel de la tecnología en el aprendizaje de la geometría.

La personalidad como predictora de dificultades cotidianas en la adolescencia. 'Personality features as predictors different problems in adolescence'

Resumen tomado de la publicación. Con el apoyo económico del departamento MIDE de la UNED