Fractional dynamics of genetic algorithms using hexagonal space tessellation

The paper formulates a genetic algorithm that evolves two types of objects in a plane. The fitness function promotes a relationship between the objects that is optimal when some kind of interface between them occurs. Furthermore, the algorithm adopts an hexagonal tessellation of the two-dimensional space for promoting an efficient method of the neighbour modelling. The genetic algorithm produces special patterns with resemblances to those revealed in percolation phenomena or in the symbiosis found in lichens. Besides the analysis of the spacial layout, a modelling of the time evolution is performed by adopting a distance measure and the modelling in the Fourier domain in the perspective of fractional calculus. The results reveal a consistent, and easy to interpret, set of model parameters for distinct operating conditions.

Mapping numbers onto space in preschool children and adults

Tese de Doutoramento em Psicologia - Especialidade em Psicologia Experimental e Ciências Cognitivas

Single period Markowitz portfolio selection, performance gauging and duality: a variation on Luenberger's shortage function

Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.

Aerotropolis: an aviation-linked space

This paper examines the conditions allowing the formation of aeropolitan areas as large industrial areas with a high concentration of commercial activities in the proximity of selected airports. We assume that firms deliver their production by plane and land competition takes place among service operators, firms and farmers. Service operators supply facilities that firms can absorb. Our framework identifies a unique land equilibrium characterized by the spatial sequence Airport - Industrial park - Rural area (A-I-R). Aerotropolis-type configurations are associated with the level of transport costs and the degree of intensity of facilities. Keywords: aerotropolis; facilities; bid-rent function. JEL Classification Numbers: L29; L90; R14.

Sound objects in time, space and action

SOUND OBJECTS IN TIME, SPACE AND ACTIONThe term "sound object" describes an auditory experience that is associated with an acoustic event produced by a sound source. At cortical level, sound objects are represented by temporo-spatial activity patterns within distributed neural networks. This investigation concerns temporal, spatial and action aspects as assessed in normal subjects using electrical imaging or measurement of motor activity induced by transcranial magnetic stimulation (TMS).Hearing the same sound again has been shown to facilitate behavioral responses (repetition priming) and to modulate neural activity (repetition suppression). In natural settings the same source is often heard again and again, with variations in spectro-temporal and spatial characteristics. I have investigated how such repeats influence response times in a living vs. non-living categorization task and the associated spatio-temporal patterns of brain activity in humans. Dynamic analysis of distributed source estimations revealed differential sound object representations within the auditory cortex as a function of the temporal history of exposure to these objects. Often heard sounds are coded by a modulation in a bilateral network. Recently heard sounds, independently of the number of previous exposures, are coded by a modulation of a left-sided network.With sound objects which carry spatial information, I have investigated how spatial aspects of the repeats influence neural representations. Dynamics analyses of distributed source estimations revealed an ultra rapid discrimination of sound objects which are characterized by spatial cues. This discrimination involved two temporo-spatially distinct cortical representations, one associated with position-independent and the other with position-linked representations within the auditory ventral/what stream.Action-related sounds were shown to increase the excitability of motoneurons within the primary motor cortex, possibly via an input from the mirror neuron system. The role of motor representations remains unclear. I have investigated repetition priming-induced plasticity of the motor representations of action sounds with the measurement of motor activity induced by TMS pulses applied on the hand motor cortex. TMS delivered to the hand area within the primary motor cortex yielded larger magnetic evoked potentials (MEPs) while the subject was listening to sounds associated with manual than non- manual actions. Repetition suppression was observed at motoneuron level, since during a repeated exposure to the same manual action sound the MEPs were smaller. I discuss these results in terms of specialized neural network involved in sound processing, which is characterized by repetition-induced plasticity.Thus, neural networks which underlie sound object representations are characterized by modulations which keep track of the temporal and spatial history of the sound and, in case of action related sounds, also of the way in which the sound is produced.LES OBJETS SONORES AU TRAVERS DU TEMPS, DE L'ESPACE ET DES ACTIONSLe terme "objet sonore" décrit une expérience auditive associée avec un événement acoustique produit par une source sonore. Au niveau cortical, les objets sonores sont représentés par des patterns d'activités dans des réseaux neuronaux distribués. Ce travail traite les aspects temporels, spatiaux et liés aux actions, évalués à l'aide de l'imagerie électrique ou par des mesures de l'activité motrice induite par stimulation magnétique trans-crânienne (SMT) chez des sujets sains. Entendre le même son de façon répétitive facilite la réponse comportementale (amorçage de répétition) et module l'activité neuronale (suppression liée à la répétition). Dans un cadre naturel, la même source est souvent entendue plusieurs fois, avec des variations spectro-temporelles et de ses caractéristiques spatiales. J'ai étudié la façon dont ces répétitions influencent le temps de réponse lors d'une tâche de catégorisation vivant vs. non-vivant, et les patterns d'activité cérébrale qui lui sont associés. Des analyses dynamiques d'estimations de sources ont révélé des représentations différenciées des objets sonores au niveau du cortex auditif en fonction de l'historique d'exposition à ces objets. Les sons souvent entendus sont codés par des modulations d'un réseau bilatéral. Les sons récemment entendus sont codé par des modulations d'un réseau du côté gauche, indépendamment du nombre d'expositions. Avec des objets sonores véhiculant de l'information spatiale, j'ai étudié la façon dont les aspects spatiaux des sons répétés influencent les représentations neuronales. Des analyses dynamiques d'estimations de sources ont révélé une discrimination ultra rapide des objets sonores caractérisés par des indices spatiaux. Cette discrimination implique deux représentations corticales temporellement et spatialement distinctes, l'une associée à des représentations indépendantes de la position et l'autre à des représentations liées à la position. Ces représentations sont localisées dans la voie auditive ventrale du "quoi".Des sons d'actions augmentent l'excitabilité des motoneurones dans le cortex moteur primaire, possiblement par une afférence du system des neurones miroir. Le rôle des représentations motrices des sons d'actions reste peu clair. J'ai étudié la plasticité des représentations motrices induites par l'amorçage de répétition à l'aide de mesures de potentiels moteurs évoqués (PMEs) induits par des pulsations de SMT sur le cortex moteur de la main. La SMT appliquée sur le cortex moteur primaire de la main produit de plus grands PMEs alors que les sujets écoutent des sons associée à des actions manuelles en comparaison avec des sons d'actions non manuelles. Une suppression liée à la répétition a été observée au niveau des motoneurones, étant donné que lors de l'exposition répétée au son de la même action manuelle les PMEs étaient plus petits. Ces résultats sont discuté en termes de réseaux neuronaux spécialisés impliqués dans le traitement des sons et caractérisés par de la plasticité induite par la répétition. Ainsi, les réseaux neuronaux qui sous-tendent les représentations des objets sonores sont caractérisés par des modulations qui gardent une trace de l'histoire temporelle et spatiale du son ainsi que de la manière dont le son a été produit, en cas de sons d'actions.

Unpacking the cognitive map: the parallel map theory of hippocampal function

In the parallel map theory, the hippocampus encodes space with 2 mapping systems. The bearing map is constructed primarily in the dentate gyrus from directional cues such as stimulus gradients. The sketch map is constructed within the hippocampus proper from positional cues. The integrated map emerges when data from the bearing and sketch maps are combined. Because the component maps work in parallel, the impairment of one can reveal residual learning by the other. Such parallel function may explain paradoxes of spatial learning, such as learning after partial hippocampal lesions, taxonomic and sex differences in spatial learning, and the function of hippocampal neurogenesis. By integrating evidence from physiology to phylogeny, the parallel map theory offers a unified explanation for hippocampal function.

Molecular dissection of Arabidopsis thaliana endodermis development, structure and function

In vascular plants, the endodermis establishes a protective diffusion barrier surrounding the vasculature preventing the passive, uncontrolled entry of nutrients absorbed by the plant. It does so by means of a differentiation feature, the "Casparian Strip" (CS), a highly localized cell wall impregnation made of lignin, which seals the extracellular space. Although the existence of this differentiation feature has been intensively described, the mechanisms establishing this hallmark remain obscure. In this work I report, the developmental sequence of events that leads to a differentiated endodermis, in the plant model Arabidopsis thaliana. In addition, my descriptive approach gave important insights as to how these cells define membrane domains involved in the directional transport of nutrients. I also participated in characterizing a new transmembrane protein family, the CASPs, localized to the membrane domain underlying the CS, which we accordingly named the Casparian Strip membrane Domain (CSD). Our molecular analysis indicates that these proteins drive CS establishment. To identify more molecular factors of CS establishment, I performed a forward genetic screen. This screen led to the identification of 11 endodermis permissive mutants, which we named schengen (sgn) mutants. The causative mutations have been mapped to 5 independent loci: SGN1 to SGN5. SGN1 and SGN3 encode Receptor Like Kinases involved in the correct establishment of the CSD. A lack of those kinases leads to an incomplete CSD, which gives rise to interrupted CS barriers. Interestingly, SGN1 seems to also regulate CSD positioning to the middle of endodermal transversal walls. SGN4 encodes an NADPH oxidase involved in lignin polymerization essential for CS formation. The sgn5 mutant induces extra divisions of cortical cells strongly affecting the cell identity, but also leading to incorrect differentiation. A thorough characterization of the sgn2 mutant will follow elsewhere, yet preliminary results indicate that SGN2 encodes an Acyl-CoA N-acyltransferase. . In summary, with my work I have contributed a first set of molecular players of Casparian strip formation and initiated their characterization. Eventually, this might lead to an understanding of the molecular mechanisms of CS establishment in A.thaliana . This in turn will hopefully help to better understand nutrient uptake in higher plants and their response to environmental stresses. - Au sein des plantes vasculaires, l'endoderme représente un tissu protecteur mettant en place une barrière imperméable, empêchant n'importe quel élément de rejoindre les tissus conducteurs par simple diffusion. Cette barrière, appelée « Cadre de Caspary », correspond à une lignification de la paroi de l'endoderme et donne lieu à un cloisonnement de l'espace intercellulaire. Bien que cet élément de différenciation soit décrit en détail, sa mise en place reste incomprise. Cette étude indique la suite d'événements aboutissant à l'établissement du cadre de Caspary chez la plante modèle Arabidopsis thaliana. De plus, ce travail apporte de nouvelles connaissances expliquant comment ces cellules définissent des domaines membranaires importants pour le transport des nutriments. Nous décrivons une nouvelle famille de protéines membranaires, les CASPs (« CAparian Strip membrane domain Proteins »), localisées dans un domaine membranaire longeant le cadre de Caspary : le domaine de Caspary (CSD). L'analyse moléculaire des CASPs indique qu'elles dirigent la formation du cadre de Caspary. Par ailleurs, une approche génétique directe nous a permis d'identifier 11 mutants ayant un endoderme perméable. Nous avons nommé ces mutants Schengen, en référence à la zone de libre échange européenne. Les mutations impliquées dans ces mutants affectent 5 gènes désignés de SGN1 à SGN5. SGN1 et SGN3 produisent des protéines de type kinases (« Receptor-like Kinases », RLK) qui participent à la délimitation du CSD. L'absence de ces kinases aboutit à un domaine CSD incomplet, se traduisant par un cadre de Caspary discontinu. De plus, SGN1 semble réguler le positionnement du CSD au milieu de la paroi transversale de l'endoderme. SGN4 produit une enzyme de type NADPH oxydase impliquée dans la polymérisation du cadre de Caspary. Dans le mutant sgn5, on observe une division anormale des cellules du cortex créant ainsi une nouvelle couche cellulaire incapable d'achever sa différenciation en endoderme. Quant à la mutation sgn2, bien que nous pensons qu'elle affecte une Acyl-CoA N-acyltransferase, sa caractérisation ne sera réalisée que prochainement. Au final, ce travail procure de nouveaux éléments sur l'établissement du cadre de Caspary qui pourraient être importants afin de comprendre comment les plantes sélectionnent leurs nutriments et résistent à des conditions environnementales parfois hostiles. - De par leur immobilité, les plantes terrestres n'ont pas d'autre choix que de puiser leurs ressources dans leur environnement direct. La plante extrait du sol les nutriments qui lui sont nécessaires et les redistribue grâce à des tissus conducteurs. Afin de ne pas s'intoxiquer, il est donc essentiel de pouvoir sélectionner les éléments entrant dans la racine. Etonnement, ce n'est pas la surface des racines qui permet ce contrôle mais un tissu interne appelé endoderme. Ce dernier forme une barrière imperméable qui entoure chaque cellule et crée une jointure permettant de bloquer le passage des éléments entre les cellules. Cette structure, appelée « cadre de Caspary », oblige les éléments à entrer dans les cellules de l'endoderme et à être ainsi sélectionnés. Bien que cette structure soit décrite en détail, sa mise en place reste incomprise. Cette étude indique la suite d'événements qui aboutit à la formation du cadre de Caspary chez la plante modèle Arabidopsis thaliana. Ce travail apporte également de nouvelles connaissances expliquant comment ces cellules définissent, organisent et dirigent le transport des nutriments. Nous décrivons comment certains éléments de la cellule, les protéines CASPs (CAsparian Strip membrane domain Proteins), sont organisées un domaine particulier des membranes afin de créer une plateforme de construction longeant le cadre de Caspary : le domaine de Caspary (CSD). Afin de déterminer ce qu'il se passerait si une plante ne possédait pas de cadre de Caspary, nous avons réalisé une mutagénèse, ou approche génétique directe, et identifié 11 mutants (individu ayant un gène défectueux conduisant à la perte d'une fonction) ayant un endoderme perméable. Nous avons nommé ces mutants schengen, en référence à la zone de libre échange européenne. Les mutations impliquées dans ces mutants affectent 5 gènes désignés de SGN1 à SGN5. Les gènes SGN1 et SGN3 produisent des protéines de type kinases (« Receptor-like Kinases », RLK) servant à l'établissement de la plateforme de construction. L'absence de ces kinases aboutit à une base incomplète, se traduisant par un cadre de Caspary discontinu. Qui plus est, la kinase SGN1 semble réguler le positionnement de la plateforme au milieu de l'endoderme. Le gène SGN4 est par contre, impliqué dans la construction à proprement dite du cadre de Caspary. Dans le mutant sgn5, on observe une nouvelle couche de cellules ressemblant à de l'endoderme mais incapable de former correctement une barrière identique au cadre de Caspary. Quant au dernier mutant, sgn2, bien que cette étude fournisse des indices permettant de comprendre pourquoi le mutant sgn2 est défectueux, nous n'expliquerons ce cas que prochainement. En résumé, ce travail procure de nouvelles connaissances sur l'établissement du cadre de Caspary qui pourraient être importantes afin de comprendre comment les plantes sélectionnent leurs nutriments et résistent à des conditions environnementales parfois hostiles.

Cell size distribution in a random tessellation of space governed by the Kolmogorov-Johnson-Mehl-Avrami model: Grain size distribution in crystallization

The space subdivision in cells resulting from a process of random nucleation and growth is a subject of interest in many scientific fields. In this paper, we deduce the expected value and variance of these distributions while assuming that the space subdivision process is in accordance with the premises of the Kolmogorov-Johnson-Mehl-Avrami model. We have not imposed restrictions on the time dependency of nucleation and growth rates. We have also developed an approximate analytical cell size probability density function. Finally, we have applied our approach to the distributions resulting from solid phase crystallization under isochronal heating conditions

Detection of Optimal Models in Parameter Space with Support Vector Machines

The paper proposes an approach aimed at detecting optimal model parameter combinations to achieve the most representative description of uncertainty in the model performance. A classification problem is posed to find the regions of good fitting models according to the values of a cost function. Support Vector Machine (SVM) classification in the parameter space is applied to decide if a forward model simulation is to be computed for a particular generated model. SVM is particularly designed to tackle classification problems in high-dimensional space in a non-parametric and non-linear way. SVM decision boundaries determine the regions that are subject to the largest uncertainty in the cost function classification, and, therefore, provide guidelines for further iterative exploration of the model space. The proposed approach is illustrated by a synthetic example of fluid flow through porous media, which features highly variable response due to the parameter values' combination.

A dynamic choice model of hybrid behavior in the attribute-space

This paper presents a dynamic choice model in the attributespace considering rational consumers that discount the future. In lightof the evidence of several state-dependence patterns, the model isfurther extended by considering a utility function that allows for thedifferent types of behavior described in the literature: pure inertia,pure variety seeking and hybrid. The model presents a stationaryconsumption pattern that can be inertial, where the consumer only buysone product, or a variety-seeking one, where the consumer buys severalproducts simultane-ously. Under the inverted-U marginal utilityassumption, the consumer behaves inertial among the existing brands forseveral periods, and eventually, once the stationary levels areapproached, the consumer turns to a variety-seeking behavior. An empiricalanalysis is run using a scanner database for fabric softener andsignificant evidence of hybrid behavior for most attributes is found,which supports the functional form considered in the theory.

Hybrid consumption paths in the attribute space: A model and application with scanner data

This paper presents and estimates a dynamic choice model in the attribute space considering rational consumers. In light of the evidence of several state-dependence patterns, the standard attribute-based model is extended by considering a general utility function where pure inertia and pure variety-seeking behaviors can be explained in the model as particular linear cases. The dynamics of the model are fully characterized by standard dynamic programming techniques. The model presents a stationary consumption pattern that can be inertial, where the consumer only buys one product, or a variety-seeking one, where the consumer shifts among varied products.We run some simulations to analyze the consumption paths out of the steady state. Underthe hybrid utility assumption, the consumer behaves inertially among the unfamiliar brandsfor several periods, eventually switching to a variety-seeking behavior when the stationary levels are approached. An empirical analysis is run using scanner databases for three different product categories: fabric softener, saltine cracker, and catsup. Non-linear specifications provide the best fit of the data, as hybrid functional forms are found in all the product categories for most attributes and segments. These results reveal the statistical superiority of the non-linear structure and confirm the gradual trend to seek variety as the level of familiarity with the purchased items increases.

On the zeta-function regularization of a two-dimensional series of epsten-Hurwitz type

For a few years now, the study of quantum field theories in partially compactified space-time manifolds has acquired increasing importance in several domains of quantum physics. Let me just mention the issues of dimensional reduction and spontaneous compactification, and the multiple questions associated with the study of quantum field theories in the presence of boundaries (like the Casimir effect) and on curved space-time (manifolds with curvature and nontrivial topology), a step towards quantum gravity.

Nucleation rates in flat and curved space

Nucleation rates for tunneling processes in Minkowski and de Sitter space are investigated, taking into account one loop prefactors. In particular, we consider the creation of membranes by an antisymmetric tensor field, analogous to Schwinger pair production. This can be viewed as a model for the decay of a false (or true) vacuum at zero temperature in the thin wall limit. Also considered is the spontaneous nucleation of strings, domain walls, and monopoles during inflation. The instantons for these processes are spherical world sheets or world lines embedded in flat or de Sitter backgrounds. We find the contribution of such instantons to the semiclassical partition function, including the one loop corrections due to small fluctuations around the spherical world sheet. We suggest a prescription for obtaining, from the partition function, the distribution of objects nucleated during inflation. This can be seen as an extension of the usual formula, valid in flat space, according to which the nucleation rate is twice the imaginary part of the free energy. For the case of pair production, the results reproduce those that can be obtained using second quantization methods, confirming the validity of instanton techniques in de Sitter space. Throughout the paper, both the gravitational field and the antisymmetric tensor field are assumed external.

In defense of the "tunneling" wave function of the universe

The tunneling approach to the wave function of the Universe has been recently criticized by Bousso and Hawking who claim that it predicts a catastrophic instability of de Sitter space with respect to pair production of black holes. We show that this claim is unfounded. First, we argue that different horizon size regions in de Sitter space cannot be treated as independently created, as they contend. And second, the WKB tunneling wave function is not simply the inverse of the Hartle-Hawking one, except in very special cases. Applied to the related problem of pair production of massive particles, we argue that the tunneling wave function leads to a small constant production rate, and not to a catastrophe as the argument of Bousso and Hawking would suggest.

Meta-structure correlation in protein space unveils different selection rules for folded and intrinsically disordered proteins

The number of existing protein sequences spans a very small fraction of sequence space. Natural proteins have overcome a strong negative selective pressure to avoid the formation of insoluble aggregates. Stably folded globular proteins and intrinsically disordered proteins (IDP) use alternative solutions to the aggregation problem. While in globular proteins folding minimizes the access to aggregation prone regions IDPs on average display large exposed contact areas. Here, we introduce the concept of average meta-structure correlation map to analyze sequence space. Using this novel conceptual view we show that representative ensembles of folded and ID proteins show distinct characteristics and responds differently to sequence randomization. By studying the way evolutionary constraints act on IDPs to disable a negative function (aggregation) we might gain insight into the mechanisms by which function - enabling information is encoded in IDPs.