On degeneracy and invariances of random fields paths with applications in Gaussian process modelling

We study pathwise invariances and degeneracies of random fields with motivating applications in Gaussian process modelling. The key idea is that a number of structural properties one may wish to impose a priori on functions boil down to degeneracy properties under well-chosen linear operators. We first show in a second order set-up that almost sure degeneracy of random field paths under some class of linear operators defined in terms of signed measures can be controlled through the two first moments. A special focus is then put on the Gaussian case, where these results are revisited and extended to further linear operators thanks to state-of-the-art representations. Several degeneracy properties are tackled, including random fields with symmetric paths, centred paths, harmonic paths, or sparse paths. The proposed approach delivers a number of promising results and perspectives in Gaussian process modelling. In a first numerical experiment, it is shown that dedicated kernels can be used to infer an axis of symmetry. Our second numerical experiment deals with conditional simulations of a solution to the heat equation, and it is found that adapted kernels notably enable improved predictions of non-linear functionals of the field such as its maximum.

A sorrow shared is a sorrow halved? Internet-based group therapy versus individual therapy for social anxiety disorder: A randomized controlled trial

Purpose: Social anxiety disorder is one of the most researched conditions in the field of Internet-based self-help. Various studies have shown that cognitive-behavioral treatments can be efficacious to reduce social phobic symptoms. Most of the interventions tested include some form of support, whereas the efficacy of a web-based group format has yet to be investigated. The present study aims at investigating the possible added value of therapist-guided group support in an Internet-based guided self-help treatment for SAD. Methods: A total of 150 adults with a diagnosis of SAD are randomly assigned to either a wait-list control group or one of two active treatment conditions. Participants in the two active conditions use the same Internet-based self-help program, either with individual guidance by a therapist or with the support of a therapist-guided group of 6 individuals. In the group condition, participants communicate with each other via an integrated, protected discussion forum. The primary outcome variables are symptoms of SAD and diagnostic status immediately after the intervention (12 weeks) and at 6-month follow-up. Secondary endpoints are general symptomatology, depression, quality of life and adherence to treatment. Furthermore, process variables such as group processes and the working alliance are studied. Results: Results are currently being analyzed. Results at post-treatment will be presented and discussed. Potential moderating and mediating variables of treatment success will be addressed. Conclusion: The results of this study should indicate whether therapist-guided group support could enhance the efficacy of an internet based self-help treatment for SAD. This novel treatment format, if shown efficacious, could represent a cost-effective option and could be further modified to treat other conditions.

Feasibility study of a single-blind randomised controlled trial of an occupational therapy intervention.

BACKGROUND Several factors facilitate or hinder efficacy research in occupational therapy. Strategies are needed, therefore, to support the successful implementation of trials. AIM To assess the feasibility of conducting a randomised controlled trial (RCT). The main feasibility objectives of this study were to assess the process, resources, management, and scientific basis of a trial RCT. MATERIAL AND METHODS A total of 10 occupational therapists, between the ages of 30 and 55 (M 43.4; SD 8.3) with seven to 26 years' (M 14.3; SD 6.1) experience, participated in this study. Qualitative data collected included minutes of meetings, reports, and field notes. The data were analysed based on the principles of content analysis, using feasibility objectives as the main categories. RESULTS Data analysis revealed strengths in relation to retention and inclusion criteria of participants, the study protocol, study organisation, and the competence of researchers. Weaknesses were found related to recruitment, randomisation, data collection, time for training and communication, commitment, and design. CONCLUSION The findings indicated that there are several factors which had a considerable impact on the implementation of an RCT in practice. However, it was useful to assess methods and procedures of the trial RCT as a basis to refine research plans.