Revisiting Norm Optimization for Multi-Objective Black-Box Problems: A Finite-Time Analysis

The complexity of Pareto fronts imposes a great challenge on the convergence analysis of multi-objective optimization methods. While most theoretical convergence studies have addressed finite-set and/or discrete problems, others have provided probabilistic guarantees, assumed a total order on the solutions, or studied their asymptotic behaviour. In this paper, we revisit the Tchebycheff weighted method in a hierarchical bandits setting and provide a finite-time bound on the Pareto-compliant additive $\epsilon$-indicator. To the best of our knowledge, this paper is one of few that establish a link between weighted sum methods and quality indicators in finite time.Comment: submitted to Journal of Global Optimization. This article's notation and terminology is based on arXiv:1612.0841

Comparability of Interviewer-Administration Versus Self-Administration of the Functional Assessment of Chronic Illness Therapy-Tuberculosis (FACIT-TB) Health-Related Quality of Life Questionnaire in Pulmonary Tuberculosis Patients

ObjectiveTo investigate the extent to which two different modes of administration (interview by a trained interviewer versus self-administration) yielded a comparable estimate of health-related quality of life (HRQL) in patients with pulmonary tuberculosis (PTB).MethodsThe study was conducted between September 2012 and July 2013, among consecutive patients treated for PTB at the Thoracic and Respiratory Disease Specialist Centre in Baghdad, Iraq. The mode of administration of the functional assessment of chronic illness therapy-tuberculosis (FACIT-TB), a new TB-specific HRQL instrument, was recorded at baseline in 305 subjects.ResultsAlthough the FACIT-TB questionnaire was designed for self-administration, most patients in our sample (n = 193, 63.3 %) requested some help from an interviewer to fill out the questionnaire. Patients capable of self-administration were younger (38.2 ± 12.9 years vs. 43.6 ± 16.4 years, p = 0.005) and required less time to complete the questionnaire (14.6 ± 3.2 min vs. 17.2 ± 2.6 min, p 0.05).ConclusionsThe study demonstrates that the administration of FACIT-TB instrument using either self-administration or interviewing techniques has resulted in a comparable estimate of HRQL among patients with PTB. The FACIT-TB instrument is able to accommodate the needs of patients with diverse social, educational, and functional skills