Comparing methods for dimensionality reduction when data are density functions

Functional Data Analysis (FDA) deals with samples where a whole function is observed for each individual. A particular case of FDA is when the observed functions are density functions, that are also an example of infinite dimensional compositional data. In this work we compare several methods for dimensionality reduction for this particular type of data: functional principal components analysis (PCA) with or without a previous data transformation and multidimensional scaling (MDS) for diferent inter-densities distances, one of them taking into account the compositional nature of density functions. The difeerent methods are applied to both artificial and real data (households income distributions)

Special Functions

Exam questions and solutions in LaTex

Special Functions pdf

Exam questions and solutions in PDF

Vector functions and curves

Exercises and solutions about vector functions and curves.

Mnesic performance and executive functions in patients with multiple sclerosis (MS)

The Episodic Memory (EM) and the Executive Functions (EF) are cognitive areas that are affected in patients with diagnosis of Multiple Sclerosis (MS). Nowadays there exists scarce works destined to explore the infl uence of the EF on measures of mnesic performance in MS. For this reason, we analyze the effect of the EF on the performance in a set of memory measures. We worked with a clinical group (n=36) and with a control group (n=36) compared by age and educational level. The results show that the clinical group obtained significantly low average values in all the mnesic indexes (with exception of recognition) and in all the executive measures. All the executive indexes showed significant associations with some of the indexes of mnesic performance. These findings suggest that the problems in the episodic memory in EM patients could be analyzed as the manifestation of a global disorder that could be similar to the one that involves the EF. 

Rehabilitation of executive functions: Implications and strategies

Executive Functions (EF) concern a range of abilitiesincluding problem-solving, planning, initiation, selfmonitoring,conscious attention, cope with new situationsand the ability to modify plans if necessary. It’s ahigh cognitive function that is crucial for a person to getengaged and maintain daily activities whilst keeping agood quality of life. Problems in the EF were formerlyknown as Dysexecutive Syndrome (DS). There are manymodels concerning DS, although the literature on thesubject still remains unclear. Several works appoint theeffects brought by elderly life, as well as abuse of drugsand some psychopathologies. These factors are knownto increase the distress of the frontal circuits and thatcould be associated to executive deficits. The effects ofDS would compromise individuals in day-to-day routine,academic, social and labor fields. There is a growingbody of studies trying to determine the causes, implications,associations and the best way to take care of theseeffects. This work intends to review DS, focusing on themost important fields related to this area, such as psychopathologyassociations, cognitive reserve, assessmentand cognitive rehabilitation programs.

Executive functions in school-aged children: age and socioeconomic status effects

Lately, the study of prefrontal executive functions in grade scholars has noticeably increased. The aim of this study is to investigate the influence of age and socioeconomic status (sEs) on executive tasks performance and to analyze those socioeconomic variables that predict a better execution. A sample of 254 children aged between 7 and 12 years from the city of santa Fe, Argentina and belonging to different socioeconomic status were tested. A bat- tery of executive functions sensitive to prefrontal function was used to obtain the results. These in- dicate a significant influence of age and SES on executive functions. The cognitive patterns follow a different path according to the development and sEs effect. Besides, it is revealed a pattern of low cognitive functioning in low-sEs children in all executive functions. Finally, from the variables included in this study, it was found that only the educational level of the mother and the housing conditions are associated to the children’s executive function. The results are discussed in terms of the influence of the cerebral maturation and the envi- ronmental variables in the executive functioning.

Type 2 diabetes; elderly; cognitive deficit; cognitive flexibility; executive functions Resumen

Through meditation, people become aware of what happens in the body and mind, accepting the present experiences as they are and getting a better understanding of the true nature of things. Meditation practices and its inclusion as an intervention technique, have generated great interest in identifying the brain mechanisms through which these practices operate. Different studies suggest that the practice of meditation is associated with the use of different neural networks as well as changes in brain structure and function, represented in higher concentration of gray matter structures at the hippocampus, the right anterior insula, orbital frontal cortex (OFC) and greater involvement of the anterior cingulate cortex (ACC). These and other unrelated studies, shows the multiple implications of the regular practice of mindfulness in the structures and functions of the brain and its relation to certain observable and subjective states in people who practice it. Such evidence enabling the inclusion of mindfulness in psychological therapy where multiple applications have been developed to prove its effectiveness in treating affective and emotional problems, crisis management, social skills, verbal creativity, addiction and craving management, family and caregivers stress of dementia patients and others. However, neuropsychological rehabilitation has no formal proposals for intervention from these findings. The aim of this paper is to propose use of Mindfulness in neuropsychological rehabilitation process, taking the positions and theory of A.R. Luria.

Distribución hiperbólica generalizada: una aplicación en la selección de portafolios y en la cuantificación de medidas de riesgo de mercado

En este trabajo se implementa una metodología para incluir momentos de orden superior en la selección de portafolios, haciendo uso de la Distribución Hiperbólica Generalizada, para posteriormente hacer un análisis comparativo frente al modelo de Markowitz.

Configuración de la interfaz discurso-gramática en el lenguaje del profesor de preescolar en el aula ILE : presentación de una red sistémica como herramienta para un análisis sistemático de las funciones reguladoras. Modelling the discourse-grammar interface of ELF pre-school teacher talk (native and non-native) : proposal of a system network enabling the systematic analysis of regulatory functions.

Esta investigación pretende alcanzar dos objetivos. Cubrir el vacío existente en los estudios de las funciones comunicativas del habla de profesores, en este caso de inglés como Lengua Extranjera (ILE) destinado a nivel preescolar, y configurar una interfaz discurso-gramática de las funciones reguladoras del lenguaje.. En primer lugar, para lograr un análisis discursivo-semántico, en este trabajo se diseña la Red Sistémica de Funciones Reguladoras, RSFR, una herramienta que resume las diferentes opciones discursivo-semánticas de los contextos de las funciones reguladoras. A continuación, se analizan los datos en el estrato léxico-gramatical para facilitar conclusiones sobre la relación función-realización formal. Por último se exponen las similitudes y diferencias en la producción lingüística de las funciones reguladoras entre profesores nativos y no nativos.. Las aportaciones más destacadas de esta investigación son cuatro: hacer posible un estudio sistemático del significado mediante el diseño de una herramienta; la propuesta de una taxonomía de funciones reguladoras; el análisis de la dependencia entre las funciones reguladoras, y sus realizaciones lingüísticas; y las diferencias encontradas en la comparación del discurso del profesor nativo y no-nativo..

Analysis of Spanish regions results in PISA 2006 using parametric distance functions. 'Análisis de los resultados de las regiones españolas en PISA 2006 utilizando funciones paramétricas de distancia'.

Resumen basado en el de la publicación

700 classroom activities : conversation, functions, grammar, vocabulary.

Es un recurso docente con más de setecientas actividades prácticas que no requieren preparación y pueden ser utilizado por profesores con y sin experiencia. Se divide en cuatro secciones: conversación, funciones, gramática y vocabulario; las actividades dentro de estas secciones están organizadas en categorías ordenadas de modo alfabético.

Los equipos de orientación del sector : funciones y modelos de intervención = External guidance services : functions and intervention models.

Resumen basado en el del autor

Solving problems on functions : role of the graphic calculator. 'Resolución de problemas sobre funciones : papel de la calculadora gráfica'.

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Psychometric characteristics of the BRIEF scale for the assessment of executive functions in Spanish clinical population

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