On the Noise Model of Support Vector Machine Regression

Support Vector Machines Regression (SVMR) is a regression technique which has been recently introduced by V. Vapnik and his collaborators (Vapnik, 1995; Vapnik, Golowich and Smola, 1996). In SVMR the goodness of fit is measured not by the usual quadratic loss function (the mean square error), but by a different loss function called Vapnik"s $epsilon$- insensitive loss function, which is similar to the "robust" loss functions introduced by Huber (Huber, 1981). The quadratic loss function is well justified under the assumption of Gaussian additive noise. However, the noise model underlying the choice of Vapnik's loss function is less clear. In this paper the use of Vapnik's loss function is shown to be equivalent to a model of additive and Gaussian noise, where the variance and mean of the Gaussian are random variables. The probability distributions for the variance and mean will be stated explicitly. While this work is presented in the framework of SVMR, it can be extended to justify non-quadratic loss functions in any Maximum Likelihood or Maximum A Posteriori approach. It applies not only to Vapnik's loss function, but to a much broader class of loss functions.

Face processing in humans is compatible with a simple shape-based model of vision

Understanding how the human visual system recognizes objects is one of the key challenges in neuroscience. Inspired by a large body of physiological evidence (Felleman and Van Essen, 1991; Hubel and Wiesel, 1962; Livingstone and Hubel, 1988; Tso et al., 2001; Zeki, 1993), a general class of recognition models has emerged which is based on a hierarchical organization of visual processing, with succeeding stages being sensitive to image features of increasing complexity (Hummel and Biederman, 1992; Riesenhuber and Poggio, 1999; Selfridge, 1959). However, these models appear to be incompatible with some well-known psychophysical results. Prominent among these are experiments investigating recognition impairments caused by vertical inversion of images, especially those of faces. It has been reported that faces that differ "featurally" are much easier to distinguish when inverted than those that differ "configurally" (Freire et al., 2000; Le Grand et al., 2001; Mondloch et al., 2002) ??finding that is difficult to reconcile with the aforementioned models. Here we show that after controlling for subjects' expectations, there is no difference between "featurally" and "configurally" transformed faces in terms of inversion effect. This result reinforces the plausibility of simple hierarchical models of object representation and recognition in cortex.

A Factor analysis of hidrochemical composition of Llobregat river basin

Hydrogeological research usually includes some statistical studies devised to elucidate mean background state, characterise relationships among different hydrochemical parameters, and show the influence of human activities. These goals are achieved either by means of a statistical approach or by mixing models between end-members. Compositional data analysis has proved to be effective with the first approach, but there is no commonly accepted solution to the end-member problem in a compositional framework. We present here a possible solution based on factor analysis of compositions illustrated with a case study. We find two factors on the compositional bi-plot fitting two non-centered orthogonal axes to the most representative variables. Each one of these axes defines a subcomposition, grouping those variables that lay nearest to it. With each subcomposition a log-contrast is computed and rewritten as an equilibrium equation. These two factors can be interpreted as the isometric log-ratio coordinates (ilr) of three hidden components, that can be plotted in a ternary diagram. These hidden components might be interpreted as end-members. We have analysed 14 molarities in 31 sampling stations all along the Llobregat River and its tributaries, with a monthly measure during two years. We have obtained a bi-plot with a 57% of explained total variance, from which we have extracted two factors: factor G, reflecting geological background enhanced by potash mining; and factor A, essentially controlled by urban and/or farming wastewater. Graphical representation of these two factors allows us to identify three extreme samples, corresponding to pristine waters, potash mining influence and urban sewage influence. To confirm this, we have available analysis of diffused and widespread point sources identified in the area: springs, potash mining lixiviates, sewage, and fertilisers. Each one of these sources shows a clear link with one of the extreme samples, except fertilisers due to the heterogeneity of their composition. This approach is a useful tool to distinguish end-members, and characterise them, an issue generally difficult to solve. It is worth note that the end-member composition cannot be fully estimated but only characterised through log-ratio relationships among components. Moreover, the influence of each endmember in a given sample must be evaluated in relative terms of the other samples. These limitations are intrinsic to the relative nature of compositional data

A Log-linear model of grain size influence on the geochemistry of sediments

Sediment composition is mainly controlled by the nature of the source rock(s), and chemical (weathering) and physical processes (mechanical crushing, abrasion, hydrodynamic sorting) during alteration and transport. Although the factors controlling these processes are conceptually well understood, detailed quantification of compositional changes induced by a single process are rare, as are examples where the effects of several processes can be distinguished. The present study was designed to characterize the role of mechanical crushing and sorting in the absence of chemical weathering. Twenty sediment samples were taken from Alpine glaciers that erode almost pure granitoid lithologies. For each sample, 11 grain-size fractions from granules to clay (ø grades <-1 to >9) were separated, and each fraction was analysed for its chemical composition. The presence of clear steps in the box-plots of all parts (in adequate ilr and clr scales) against ø is assumed to be explained by typical crystal size ranges for the relevant mineral phases. These scatter plots and the biplot suggest a splitting of the full grain size range into three groups: coarser than ø=4 (comparatively rich in SiO2, Na2O, K2O, Al2O3, and dominated by “felsic” minerals like quartz and feldspar), finer than ø=8 (comparatively rich in TiO2, MnO, MgO, Fe2O3, mostly related to “mafic” sheet silicates like biotite and chlorite), and intermediate grains sizes (4≤ø <8; comparatively rich in P2O5 and CaO, related to apatite, some feldspar). To further test the absence of chemical weathering, the observed compositions were regressed against three explanatory variables: a trend on grain size in ø scale, a step function for ø≥4, and another for ø≥8. The original hypothesis was that the trend could be identified with weathering effects, whereas each step function would highlight those minerals with biggest characteristic size at its lower end. Results suggest that this assumption is reasonable for the step function, but that besides weathering some other factors (different mechanical behavior of minerals) have also an important contribution to the trend. Key words: sediment, geochemistry, grain size, regression, step function

Stability of the factor structure of Barrat's Impulsivity Scales for children across cultures : A comparison of Spain and Colombia

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Análisis crítico de los conceptos de personalidad del consumidor y personalidad de la marca

La personalidad ha sido un concepto estudiado desde diferentes teorías y expone la manera como un individuo se comporta, piensa y percibe el entorno en el cual está inmerso. Dicho conjunto de pensamientos, percepciones y comportamientos, se mantienen más o menos estables en el tiempo y en diferentes circunstancias, en este caso, específicamente, en la conducta de compra la cual se refiere a las preferencias y toma de decisiones del consumidor de acuerdo a su personalidad y otras variables que hacen que consuma ciertos productos y/ó servicios. En el contexto del marketing, también se ha aplicado el constructo de personalidad a las marcas, lo cual ha generado personificación y asignación de características humanas para que el consumidor la perciba como a una “persona”, se identifique y consecuentemente la consuma y genere un espacio importante y preferencial en su mente. Sin embargo, la noción de personalidad surgió para explicar y entender a los seres humanos, sus pensamientos, percepciones y comportamiento tal como se mencionó previamente, por lo tanto, al aplicar este concepto a algo intangible como una marca se modifica la inicial aplicación del constructo y en determinado momento podría perder validez si se intenta acoplar dicho concepto de personalidad de marca con un modelo explicativo de la personalidad como el Big Five. Finalmente se concluye que independientemente de su utilidad en mercadeo, este concepto surge enfocado a los seres humanos y por lo tanto, no se puede aplicar para humanizar a algo intangible como una marca la cual nace a partir de percepciones e imaginarios de quien la crea y quien la consume.

Modification of personality variables through application of a psycho-educational program of full consciousness (mindfulness) in university students

This study examines the effects in university students of a psycho-educational program in full awareness (mindfulness) on certain personality variables. A quasi-experimental (group comparison) design with pretest and postest measurements was employed in an experimental (n = 26) and a control group (n = 27). Barratt impulsiveness Scale (BiS- 11), Acceptance and Action Questionnaire (AAQ), Social Avoidance and Distress Scale (SAD), and the Profile of Mood States (POMS) were applied to experimental and control groups. The results show statistically significant changes in impulsivity variables, experiential avoidance, social avoidance, social anxiety, tension and fatigue when comparing the posttest mean scores of the groups.

A model of school behavior: tuition fees and grading standards

This paper uses a hybrid human capital / signaling model to study grading standards in schools when tuition fees are allowed. The paper analyzes the grading standard set by a profit maximizing school and compares it with the efficient one. The paper also studies grading standards when tuition fees have limits. When fees are regulated a profit maximizing school will set lower grading standards than when they are not regulated. Credit constraints of families also induce schools to lower their standards. Given that in the model presented competition is not feasible, these results show the importance of regulation of grading standards.

A Network model of systemic risk : identifying the sources of dependence across institutions

We design a financial network model that explicitly incorporates linkages across institutions through a direct contagion channel, as well as an indirect common exposure channel. In particular, common exposure is setup so as to link the financial to the real sector. The model is calibrated to balance sheet data on the colombian financial sector. Results indicate that commercial banks are the most systemically important financial institutions in the system. Whereas government owned institutions are the most vulnerable institutions in the system.

A knowledge based model of regional growth. 'Un modelo basado en el conocimiento del crecimiento regional'.

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The particle model of matter.

Los cimientos de la materia son los átomos formados por minúsculas partículas llamadas protones, neutrones y electrones; según varíe esta estructura se constituyen diferentes tipos de elementos: hidrógeno, sodio, potasio, etc. También se explican los tres estados de la materia ya conocidos, más un cuarto, el plasma, que de forma natural solamente se encuentra en las estrellas. Este conocimiento interno de la materia produce aplicaciones en la tecnología. Está adaptado a alumnos de once a catorce años, que cursan la etapa 3 (Key Stage 3) del curriculo nacional inglés.

A new model of school discipline : engaging students and preventing behavior problems.

Las políticas restrictivas, de tolerancia cero y suspensión en los colegios de Estados Unidos no han conseguido mejorar su seguridad ni el comportamiento de los estudiantes, y está creciendo el riesgo de abandono. El autor presenta un nuevo modelo de disciplina transformador que es preventivo, proactivo y basado en la construcción de relaciones y en la consolidación de las habilidades sociales de los estudiantes que les permitirán mejorar su conexión con el colegio. El autor guía a los profesores y administradores para identificar sus necesidades particulares y para seleccionar las estrategias más apropiadas a aplicar en cada nivel de conflicto.

Assessment of the usability of the 'alpha' version of the prototype 'Octopus'-application of the heuristic evaluation model of user's graphic interfaces. 'Evaluación de la utilidad de la versión 'alfa' del prototipo 'Octopus'-uso del modelo de evaluación heurístico de los interfaces gráficos del usuario'.

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The factor structure of the Spanish version of the Work-Family Culture Scale in a sample of workers from the advertising sector

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