Non-classical error bounds in the central limit theorem

The classical central limit theorem states the uniform convergence of the distribution functions of the standardized sums of independent and identically distributed square integrable real-valued random variables to the standard normal distribution function. While first versions of the central limit theorem are already due to Moivre (1730) and Laplace (1812), a systematic study of this topic started at the beginning of the last century with the fundamental work of Lyapunov (1900, 1901). Meanwhile, extensions of the central limit theorem are available for a multitude of settings. This includes, e.g., Banach space valued random variables as well as substantial relaxations of the assumptions of independence and identical distributions. Furthermore, explicit error bounds are established and asymptotic expansions are employed to obtain better approximations. Classical error estimates like the famous bound of Berry and Esseen are stated in terms of absolute moments of the random summands and therefore do not reflect a potential closeness of the distributions of the single random summands to a normal distribution. Non-classical approaches take this issue into account by providing error estimates based on, e.g., pseudomoments. The latter field of investigation was initiated by work of Zolotarev in the 1960's and is still in its infancy compared to the development of the classical theory. For example, non-classical error bounds for asymptotic expansions seem not to be available up to now ...

Small mammal distributional patterns in Northwestern Argentina

ABSTRACT Quantitative evaluations of species distributional congruence allow evaluating previously proposed biogeographic regionalization and even identify undetected areas of endemism. The geographic scenery of Northwestern Argentina offers ideal conditions for the study of distributional patterns of species since the boundaries of a diverse group of biomes converge in a relatively small region, which also includes a diverse fauna of mammals. In this paper we applied a grid-based explicit method in order to recognize Patterns of Distributional Congruence (PDCs) and Areas of Endemism (AEs), and the species (native but non-endemic and endemic, respectively) that determine them. Also, we relate these distributional patterns to traditional biogeographic divisions of the study region and with a very recent phytogeographic study and we reconsider what previously rejected as 'spurious' areas. Finally, we assessed the generality of the patterns found. The analysis resulted in 165 consensus areas, characterized by seven species of marsupials, 28 species of bats, and 63 species of rodents, which represents a large percentage of the total species (10, 41, and 73, respectively). Twenty-five percent of the species that characterize consensus areas are endemic to the study region and define six AEs in strict sense while 12 PDCs are mainly defined by widely distributed species. While detailed quantitative analyses of plant species distribution data made by other authors does not result in units that correspond to Cabrera's phytogeographic divisions at this spatial scale, analyses of animal species distribution data does. We were able to identify previously unknown meaningful faunal patterns and more accurately define those already identified. We identify PDCs and AEs that conform Eastern Andean Slopes Patterns, Western High Andes Patterns, and Merged Eastern and Western Andean Slopes Patterns, some of which are re-interpreted at the light of known patterns of the endemic vascular flora. Endemism do not declines towards the south, but do declines towards the west of the study region. Peaks of endemism are found in the eastern Andean slopes in Jujuy and Tucumán/Catamarca, and in the western Andean biomes in Tucumán/Catamarca. The principal habitat types for endemic small mammal species are the eastern humid Andean slopes. Notwithstanding, arid/semi-arid biomes and humid landscapes are represented by the same number of AEs. Rodent species define 15 of the 18 General Patterns, and only in one they have no participation at all. Clearly, at this spatial scale, non-flying mammals, particularly rodents, are biogeographically more valuable species than flying mammals (bat species).

The missing link in key sectors analysis

In general terms key sectors analysis aims at identifying the role, or impact, that the existence of a productive sector has in the economy. Quite a few measures, indicators and methodologies of varied complexity have been proposed in the literature, from multiplier sums to extraction methods, but not without debate about their properties and their information content. All of them, to our knowledge, focus exclusively on the interdependence effects that result from the input-output structure of the economy. By so doing the simple input-output approach misses critical links beyond the interindustry ones. A productive sector’s role is that of producing but also that of generating and distributing income among primary factors as a result of production. Thus when measuring a sector’s role, the income generating process cannot and should not be omitted if we want to better elucidate the sector’ economic role. A simple way to make the missing income link explicit is to use the SAM (Soci

How tight should one's hands be tied? Fear of floating and credibility of exchange rate regimes

This paper analyzes the linkages between the credibility of a target zone regime, the volatility of the exchange rate, and the width of the band where the exchange rate is allowed to fluctuate. These three concepts should be related since the band width induces a trade-off between credibility and volatility. Narrower bands should give less scope for the exchange rate to fluctuate but may make agents perceive a larger probability of realignment which by itself should increase the volatility of the exchange rate. We build a model where this trade-off is made explicit. The model is used to understand the reduction in volatility experienced by most EMS countries after their target zones were widened on August 1993. As a natural extension, the model also rationalizes the existence of non-official, implicit target zones (or fear of floating), suggested by some authors.

Stakeholder activism, managerial entrenchment, and the congruence of interests between shareholders and stakeholders

We argue that when stakeholder protection is left to the voluntary initiative of managers, concessions to social activists and pressure groups can turn into a self-entrenchment strategy for incumbent CEOs. Stakeholders other than shareholders thus benefit from corporate governance rules putting managers under a tough replacement threat. We show that a minimal amount of formal stakeholder protection, or the introduction of explicit covenants protecting stakeholder rights in the firm charter, may deprive CEOs of the alliance with powerful social activists, thus increasing managerial turnover and shareholder value. These results rationalize a recent trend whereby well-known social activists like Friends of the Earth and active shareholders like CalPERS are showing a growing support for each other's agendas.

Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Petits points et conjecture de Bogomolov

This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang’s proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.

On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift

We consider the Kudla-Millson lift from elliptic modular forms of weight (p+q)/2 to closed q-forms on locally symmetric spaces corresponding to the orthogonal group O(p,q). We study the L²-norm of the lift following the Rallis inner product formula. We compute the contribution at the Archimedian place. For locally symmetric spaces associated to even unimodular lattices, we obtain an explicit formula for the L²-norm of the lift, which often implies that the lift is injective. For O(p,2) we discuss how such injectivity results imply the surjectivity of the Borcherds lift.

Twisted Reidemeister torsion for twist knots

The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables given approximations of the twisted Reidemeister torsion for twist knots on some concrete examples are also enclosed.

Generic object classification for autonomous robots

Un dels principals problemes de la interacció dels robots autònoms és el coneixement de l'escena. El reconeixement és fonamental per a solucionar aquest problema i permetre als robots interactuar en un escenari no controlat. En aquest document presentem una aplicació pràctica de la captura d'objectes, de la normalització i de la classificació de senyals triangulars i circulars. El sistema s'introdueix en el robot Aibo de Sony per a millorar-ne la interacció. La metodologia presentada s'ha comprobat en simulacions i problemes de categorització reals, com ara la classificació de senyals de trànsit, amb resultats molt prometedors.

Indexació de continguts televisius: anàlisis de vídeo

Aquest és un projecte que tracta sobre la indexació automàtica de continguts televisius. És una tasca que guanyarà importància amb els imminents canvis que hi haurà en la televisió que coneixem. L'entrada de la nova televisió digital farà que hi hagi una interacció molt més fluida entre l'espectador i la cadena, a més de grans quantitats de canals, cada un amb programes de tipus totalment diferents. Tot això farà que tenir mètodes de cerca basats en els continguts d'aquests programes sigui del tot imprescindible. Així doncs, el nostre projecte està basat plenament en poder extreure alguns d'aquests descriptors que faran possible la categorització dels diferents programes televisius.

Men perform comparably to women in a perspective taking task after administration of intranasal oxytocin but not after placebo

Oxytocin (OT) is thought to play an important role in human interpersonal information processing and behavior. By inference, OT should facilitate empathic responding, i.e. the ability to feel for others and to take their perspective. In two independent double-blind, placebo-controlled between-subjects studies, we assessed the effect of intranasally administered OT on affective empathy and perspective taking, whilst also examining potential sex differences (e.g., women being more empathic than men). In study 1, we provided 96 participants (48 men) with an empathy scenario and recorded self reports of empathic reactions to the scenario, while in study 2, a sample of 120 individuals (60 men) performed a computerized implicit perspective taking task. Whilst results from Study 1 showed no influence of OT on affective empathy, we found in Study 2 that OT exerted an effect on perspective taking ability in men. More specifically, men responded faster than women in the placebo group but they responded as slowly as women in the OT group. We conjecture that men in the OT group adopted a social perspective taking strategy, such as did women in both groups, but not men in the placebo group. On the basis of results across both studies, we suggest that self-report measures (such as used in Study 1) might be less sensitive to OT effects than more implicit measures of empathy such as that used in Study 2. If these assumptions are confirmed, one could infer that OT effects on empathic responses are more pronounced in men than women, and that any such effect is best studied using more implicit measures of empathy rather than explicit self-report measures.

Segmentation and Clustering of Textual Sequences: a Typological Approach

The long term goal of this research is to develop a program able to produce an automatic segmentation and categorization of textual sequences into discourse types. In this preliminary contribution, we present the construction of an algorithm which takes a segmented text as input and attempts to produce a categorization of sequences, such as narrative, argumentative, descriptive and so on. Also, this work aims at investigating a possible convergence between the typological approach developed in particular in the field of text and discourse analysis in French by Adam (2008) and Bronckart (1997) and unsupervised statistical learning.

Model structures on the category of small double categories

In this paper we obtain several model structures on DblCat, the category of small double categories. Our model structures have three sources. We first transfer across a categorification-nerve adjunction. Secondly, we view double categories as internal categories in Cat and take as our weak equivalences various internal equivalences defined via Grothendieck topologies. Thirdly, DblCat inherits a model structure as a category of algebras over a 2-monad. Some of these model structures coincide and the different points of view give us further results about cofibrant replacements and cofi brant objects. As part of this program we give explicit descriptions and discuss properties of free double categories, quotient double categories, colimits of double categories, and several nerves and categorifications.

Performances et défaillances du sujet cérébral : regard anthropologique sur la plasticité cérébrale, les neurosciences et la clinique de la dégénérescence cognitive

Introduction 1.1 Le sujet cérébral, rencontre entre le biologique et le social L'objectif de ce travail est d'éclairer une des voies par lesquelles le phénomène anthropologique de l'individualité prend corps au sein de l'environnement contemporain. L'individualisme est compris comme les divers processus par lesquels la détermination du sujet tend à s'autonomiser des appartenances préconstituées. Il est la forme sociologique qui gouverne la façon contemporaine de faire société depuis l'avènement de la «modernité ». Le choix de l'angle de la cérébralité pour aborder la question de recherche repose sur le postulat qu'une des particularités culturelles de la figure du sujet individuel contemporain est la tendance à attribuer aux mécanismes cérébraux le rôle déterminant dans la constitution de la subjectivité du sujet. Dès lors, si aujourd'hui, penser le cerveau c'est penser l'humain, il s'agit d'un phénomène anthropologique qui demande à être explicité. Il m'appartient de démontrer que le champ des neurosciences se profile comme révélateur privilégié pour observer comment penser l'individualité concorde avec l'établissement de vérités relatives au cérébral' . Faire l'anthropologie du proche et de l'actuel a ses intérêts mais comporte aussi des risques. La perte de ce qui faisait le moteur de la recherche anthropologique -l'altérité donnée des sujets de son observation - a été compensée par l'émergence de nouveaux objets de travail et par des reconfigurations des rapports que l'anthropologue entretient avec son terrain. Le renouvellement du cadre de réflexion opéré par l'anthropologie au cours du siècle écoulé suit les transformations des pratiques sociales, culturelles et économiques qui s'opèrent au niveau mondial. L'échelle désormais planétaire de la circulation des acteurs sociaux et des objets de savoir a forcé la discipline à revoir la grille de lecture qui a longtemps opposé sociétés traditionnelles à sociétés modernes. La prise de conscience de la caducité du grand partage a engagé les anthropologues à s'intéresser à des phénomènes en rapport avec des problèmes rencontrés au sein de leur propre collectif et, dans le même mouvement, les a amenée à repenser les articulations entre le global et le local, le particulier et l'universel. Le bouleversement heuristique généré par ce repositionnement n'est toutefois pas exempt de nouvelles difficultés pour la recherche ethnographique. En se posant le défi d'étudier des traits culturels propres à sa société d'appartenance, l'anthropologie s'ouvre à des terrains enquête sur la façon dont, dans le monde occidental, le constat toujours plus pesant de la discordance entre les phénomènes de vieillissement cognitif et l'allongement de l'espérance de vie est traité. Dans une démarche ethnographique, il s'agit de voir quelles sont les logiques d'action et les pratiques sociales développées en réponse à ces inadéquations. La thématique impose une navigation entre des domaines théoriques spécialisés et des champs d'activités possédant chacun leurs cadres de référence. Une telle entreprise suppose une multiplication des systèmes de référence devant être pris en compte. Toutes les disciplines approchées au cours de ce travail abondent en métaphores utiles à la mise en ordre de leur pensée et à la description de leurs objets de travail. Toutefois, faire résonner entre elles les différentes «cultures épistémiques » (Knorr-Cetina, 1999) pour mieux faire apparaître la trame sociale qui constitue leur arrière-fond équivaut souvent à forcer le trait. Le sens des mots varie selon leurs champs d'application et l'exercice de la mise en résonance peut s'avérer périlleux. Je me suis efforcée tout au long de ces pages de préciser de quel point de vue les énoncés considérés sont formulés. L'analyse anthropologique étant guidée par la recherche des points de liaison entre les différents registres, la démarche est forcément limitée dans le niveau d'approfondissement auquel elle peut tendre. Elle risque de décevoir les lecteurs experts dans les domaines soumis à la grille de lecture de cette discipline, non familiers avec les concepts anthropologiques. Il est probable qu'un certain flou subsiste dans la façon dont ces énoncés sont décris par rapport au traitement dont ils sont l'objet dans leurs disciplines respectives. Si on perd de vue la préoccupation centrale de l'anthropologie, consistant à éclairer le système de valeurs commun sous-tendant les pratiques sociales observées, la lecture d'un tel travail risque effectivement de rater son but. En revanche, en acceptant d'emblée de se prêter à un décentrement par rapport à son modèle disciplinaire, le lecteur doit pouvoir appréhender des aspects intéressant ses propres pratiques. S'intéresser à ce qui relie les savoirs et les pratiques au sein d'un monde commun, voilà un programme heuristique qui va à l'encontre de la logique de spécialisation.