Clarke critical values of subanalytic Lipschitz continuous functions

We prove that any subanalytic locally Lipschitz function has the Sard property. Such functions are typically nonsmooth and their lack of regularity necessitates the choice of some generalized notion of gradient and of critical point. In our framework these notions are defined in terms of the Clarke and of the convex-stable subdifferentials. The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof relies on Pawlucki's extension of the Puiseuxlemma. In the last section we give an example of a continuous subanalytic function which is not constant on a segment of "broadly critical" points, that is, points for which we can find arbitrarily short convex combinations of gradients at nearby points.

Forecasting volatility using a continuous time model

This paper evaluates the forecasting performance of a continuous stochastic volatility model with two factors of volatility (SV2F) and compares it to those of GARCH and ARFIMA models. The empirical results show that the volatility forecasting ability of the SV2F model is better than that of the GARCH and ARFIMA models, especially when volatility seems to change pattern. We use ex-post volatility as a proxy of the realized volatility obtained from intraday data and the forecasts from the SV2F are calculated using the reprojection technique proposed by Gallant and Tauchen (1998).

The possibility for continuous growth with exhaustible resources: unknowingly an agreement has been reached, but it may not be correct

It is the size of the elasticity of substitution that has been the central issue in the long debate over the possibility of continuous growth in the presence of exhaustible resources. This paper reviews the debate and comes to the surprising conclusion that , unnoticed by the pessimists, the optimist position has gradually evolved so that it now approximates that of the pessimists. The paper also summarises some preliminary work by the author that indicates that this common position may not be correct

Programa vellesa, activitat física i dependència (Vafid): justificació i bases per a la sistematització

El present estudi es centra en els programes d’activitat física adreçats a persones grans en situació de dependència, que es esenvolupen en grup i que utilitzen el moviment actiu com a principal eina de treball. Es tracta d’una recerca que, per una banda, estudia i analitza les bases teòriques que avalen la importància i la necessitat de l’aplicació d’aquest tipus de programes. Per l’altra, justifica i defineix, amb detall, les línies directrius que han de guiar el seu desenvolupament i la seva aplicació en l’àmbit d’institucions d’atenció a les persones grans (residències, centres de dia i centres sòciosanitaris). El marc conceptual (capítol II) es construeix a partir d’una àmplia recerca bibliogràfica sobre les quatre dimensions d’anàlisi clau (l’envelliment, la dependència, l’atenció a les persones grans i l’activitat física) que fonamenta i justifica la proposta de programa que es fa en la segona part (capítol III). En aquesta es defineixen els referents, les finalitats, els objectius, els recursos que es poden utilitzar, les indicacions bàsiques per a organitzar el treball, els aspectes metodològics essencials per a l’aplicació del programa i les condicions necessàries per a poder-lo implementar. El resultat de tot el procés de recerca i estudi permet dir que, a nivell teòric, l’activitat física és una eina útil, eficaç i amb moltes possibilitats cara a l’atenció a les persones grans en situació de dependència. Que els esmentats programes han de ser fruit d’un procés de planificació, han de considerar les diferents dimensions de l’ésser en interacció constant, han de ser aplicats donant més importància al procés que al producte i que els recursos disponibles s’han d’utilitzar d’acord amb aquests plantejaments. En les línies de futur per a aquesta recerca, es planteja la seva continuació a partir de l’aplicació del programa VAFiD en diferents grups i la seva avaluació (seguint el model d’avaluació responent de Robert Stake) per determinar-ne la coherència i la qualitat.

Characteristics of HIV patients referred to a medication adherence program in Switzerland.

Background Since August 2004, HIV patients who encounter -or are at risk of -problems with their antiretroviral treatment (ART) are referred by their physician to a medication adherence program at the community pharmacy of the Department of Ambulatory Care and Community Medicine in Lausanne (Switzerland). The program combines motivational interviewing and electronic drug monitoring. Objective To compare the demographic and clinical characteristics as well as ART of HIV patients referred to the adherence program versus those of the entire HIV population followed in the same infection disease department in the same time frame. Method Retrospective descriptive cross-sectional study. Study time frame was defined according to the period with the highest number of HIV patients visiting the adherence program. Results Subjects included in the adherence program had more often a protease inhibitor-based regimen (64 %; 95 % CI [52-75 %] vs. 37 %) and lower CD4 cell counts (419 (252.0, 521.0); 95 % CI [305-472] vs. 500 (351.0, 720.0)) than the entire HIV population. A majority of women were included in the adherence program (66 %; 95 % CI [54-76 %] vs. 39% in the entire HIV population). Conclusion Subjects referred to the adherence program were different from the entire HIV population and showed worse clinical outcomes and were more often under salvage therapy. More women than men were included. Reasons for such a difference need to be further explored.

Long-term outcome after cognitive and behavioral regression in nonlesional epilepsy with continuous spike-waves during slow-wave sleep.

PURPOSE: To present the long-term follow-up of 10 adolescents and young adults with documented cognitive and behavioral regression as children due to nonlesional focal, mainly frontal, epilepsy with continuous spike-waves during slow wave sleep (CSWS). METHODS: Past medical and electroencephalography (EEG) data were reviewed and neuropsychological tests exploring main cognitive functions were administered. KEY FINDINGS: After a mean duration of follow-up of 15.6 years (range, 8-23 years), none of the 10 patients had recovered fully, but four regained borderline to normal intelligence and were almost independent. Patients with prolonged global intellectual regression had the worst outcome, whereas those with more specific and short-lived deficits recovered best. The marked behavioral disorders resolved in all but one patient. Executive functions were neither severely nor homogenously affected. Three patients with a frontal syndrome during the active phase (AP) disclosed only mild residual executive and social cognition deficits. The main cognitive gains occurred shortly after the AP, but qualitative improvements continued to occur. Long-term outcome correlated best with duration of CSWS. SIGNIFICANCE: Our findings emphasize that cognitive recovery after cessation of CSWS depends on the severity and duration of the initial regression. None of our patients had major executive and social cognition deficits with preserved intelligence, as reported in adults with early destructive lesions of the frontal lobes. Early recognition of epilepsy with CSWS and rapid introduction of effective therapy are crucial for a best possible outcome.

Aplicaciones Single Program Multiple Data (SPMD) en ambientes distribuidos

Un reto al ejecutar las aplicaciones en un cluster es lograr mejorar las prestaciones utilizando los recursos de manera eficiente, y este reto es mayor al utilizar un ambiente distribuido. Teniendo en cuenta este reto, se proponen un conjunto de reglas para realizar el cómputo en cada uno de los nodos, basado en el análisis de cómputo y comunicaciones de las aplicaciones, se analiza un esquema de mapping de celdas y un método para planificar el orden de ejecución, tomando en consideración la ejecución por prioridad, donde las celdas de fronteras tienen una mayor prioridad con respecto a las celdas internas. En la experimentación se muestra el solapamiento del computo interno con las comunicaciones de las celdas fronteras, obteniendo resultados donde el Speedup aumenta y los niveles de eficiencia se mantienen por encima de un 85%, finalmente se obtiene ganancias de los tiempos de ejecución, concluyendo que si se puede diseñar un esquemas de solapamiento que permita que la ejecución de las aplicaciones SPMD en un cluster se hagan de forma eficiente.

A review of achievements of the national schistosomiasis control program in middle and upper Egypt areas

In Egypt the "national schistosomiasis control program" was formulated to control transmission by reduction of prevalence and intensity of current infections, and thereby achieve an acceptable level of schistosomiasis disease control. The program was implemented foremost in Middle Egypt (1977) and Upper Egypt (1980), collectively extending 800 km alongside of the River Nile and accommodate about 10.5 million people. Schistosoma haematobium has been essentially the prevailing species infection in both areas. The strategy of control entailed both area-wide mollusciciding with niclosamide, and selective population chemotherapy with metrifonate. Evaluation in 1986 showed that prevalence dropped from pre-control 29.4% in Middle Egypt and 26.3% in Upper Egypt to 6% and 7.8% respectively, together with a remarkable drop of infections among children. Also mean intensity attained low levels consistent of low grade infections. It is evident therefore that in these areas where an enhancement of schistosomiasis infections had been anticipated the employment of the twofold strategy effected a state of low-prevalence/low-intensity signifying a lowered reservoir of infection and a substantial interference with the potentials of transmission.

Mise en place d'un programme de prévention et de prise en charge du diabète en Suisse: le point de vue des patients et des professionnels de la santé [Implementation of a diabetes disease management program in Switzerland: patients' and healthcare professionals' point of view].

BACKGROUND: A reorganization of healthcare systems is required to meet the challenge of the increasing prevalence of chronic diseases, e.g. diabetes. In North-America and Europe, several countries have thus developed national or regional chronic disease management programs. In Switzerland, such initiatives have only emerged recently. In 2010, the canton of Vaud set up the "Diabetes Cantonal Program", within the framework of which we conducted a study designed to ascertain the opinions of both diabetic patients and healthcare professionals on the elements that could be integrated into this program, the barriers and facilitators to its development, and the incentives that could motivate these actors to participate. METHODS: We organized eight focus-groups: one with diabetic patients and one with healthcare professionals in the four sanitary areas of the canton of Vaud. The discussions were recorded, transcribed and submitted to a thematic content analysis. RESULTS: Patients and healthcare professionals were rather in favour of the implementation of a cantonal program, although patients were more cautious concerning its necessity. All participants envisioned a set of elements that could be integrated to this program. They also considered that the program could be developed more easily if it were adapted to patients' and professionals' needs and if it used existing structures and professionals. The difficulty to motivate both patients and professionals to participate was mentioned as a barrier to the development of this program however. Quality or financial incentives could therefore be created to overcome this potential problem. CONCLUSION: The identification of the elements to consider, barriers, facilitators and incentives to participate to a chronic disease management program, obtained by exploring the opinions of patients and healthcare professionals, should favour its further development and implementation.

Programme de remédiation cognitive pour patients présentant une schizophrénie ou un trouble associé (Recos) : résultats préliminaires [Cognitive remediation program for individuals living with schizophrenia (Recos): preliminary results].

BACKGROUND: Nowadays, cognitive remediation is widely accepted as an effective treatment for patients with schizophrenia. In French-speaking countries, techniques used in cognitive remediation for patients with schizophrenia have been applied from those used for patients with cerebral injury. As cognitive impairment is a core feature of schizophrenia, the Département de psychiatrie du CHUV in Lausanne (DP-CHUV) intended to develop a cognitive remediation program for patients with a schizophrenia spectrum disease (Recos-Vianin, 2007). Numerous studies show that the specific cognitive deficits greatly differ from one patient to another. Consequently, Recos aims at providing individualized cognitive remediation therapy. In this feasibility trial, we measured the benefits of this individualized therapy for patients with schizophrenia. Before treatment, the patients were evaluated with a large battery of cognitive tests in order to determine which of the five specific training modules - Verbal memory, visuospatial memory and attention, working memory, selective attention, reasoning - could provide the best benefit depending on their deficit. OBJECTIVES: The study was designed to evaluate the benefits of the Recos program by comparing cognitive functioning before and after treatment. METHOD: Twenty-eight patients with schizophrenia spectrum disorders (schizophrenia [n=18], schizoaffective disorder [n=5], schizotypal disorder [n=4], schizophreniform disorder [n=1], DSM-IV-TR) participated in between one and three of the cognitive modules. The choice of the training module was based on the results of the cognitive tests obtained during the first evaluation. The patients participated in 20 training sessions per module (one session per week). At the end of the training period, the cognitive functioning of each patient was reevaluated by using the same neuropsychological battery. RESULTS: The results showed a greater improvement in the cognitive functions, which were specifically trained, compared to the cognitive functions, which were not trained. However, an improvement was also observed in both types of cognitive functions, suggesting an indirect cognitive gain. CONCLUSION: In our view, the great heterogeneity of the observed cognitive deficits in schizophrenia necessitates a detailed neuropsychological investigation as well as an individualized cognitive remediation therapy. These preliminary results need to be confirmed with a more extended sample of patients.

Adaptive Continuous time Markov Chain Approximation Model to General Jump-Diusions

We propose a non-equidistant Q rate matrix formula and an adaptive numerical algorithm for a continuous time Markov chain to approximate jump-diffusions with affine or non-affine functional specifications. Our approach also accommodates state-dependent jump intensity and jump distribution, a flexibility that is very hard to achieve with other numerical methods. The Kolmogorov-Smirnov test shows that the proposed Markov chain transition density converges to the one given by the likelihood expansion formula as in Ait-Sahalia (2008). We provide numerical examples for European stock option pricing in Black and Scholes (1973), Merton (1976) and Kou (2002).

A Simple Characterization of Dynamic Completeness in Continuous Time

This paper investigates dynamic completeness of financial markets in which the underlying risk process is a multi-dimensional Brownian motion and the risky securities dividends geometric Brownian motions. A sufficient condition, that the instantaneous dispersion matrix of the relative dividends is non-degenerate, was established recently in the literature for single-commodity, pure-exchange economies with many heterogenous agents, under the assumption that the intermediate flows of all dividends, utilities, and endowments are analytic functions. For the current setting, a different mathematical argument in which analyticity is not needed shows that a slightly weaker condition suffices for general pricing kernels. That is, dynamic completeness obtains irrespectively of preferences, endowments, and other structural elements (such as whether or not the budget constraints include only pure exchange, whether or not the time horizon is finite with lump-sum dividends available on the terminal date, etc.)