Online Self-Concordant and Relatively Smooth Minimization, With Applications to Online Portfolio Selection and Learning Quantum States

Consider an online convex optimization problem where the loss functions are self-concordant barriers, smooth relative to a convex function $h$, and possibly non-Lipschitz. We analyze the regret of online mirror descent with $h$. Then, based on the result, we prove the following in a unified manner. Denote by $T$ the time horizon and $d$ the parameter dimension. 1. For online portfolio selection, the regret of $\widetilde{\text{EG}}$, a variant of exponentiated gradient due to Helmbold et al., is $\tilde{O} ( T^{2/3} d^{1/3} )$ when $T > 4 d / \log d$. This improves on the original $\tilde{O} ( T^{3/4} d^{1/2} )$ regret bound for $\widetilde{\text{EG}}$. 2. For online portfolio selection, the regret of online mirror descent with the logarithmic barrier is $\tilde{O}(\sqrt{T d})$. The regret bound is the same as that of Soft-Bayes due to Orseau et al. up to logarithmic terms. 3. For online learning quantum states with the logarithmic loss, the regret of online mirror descent with the log-determinant function is also $\tilde{O} ( \sqrt{T d} )$. Its per-iteration time is shorter than all existing algorithms we know.Comment: 19 pages, 1 figur

A Study of the Establishment of the Evaluation Index System for Tourist Attraction Disaster Resilience

Tourism industry is highly depended on the natural environment and climate. Compared to other industries, it is more susceptible to environment and climate. Taiwan belongs to a sea island country and located in the subtropical monsoon zone. The events of climate variability, frequency of typhoons and rainfalls raged are caused regularly serious disaster. In traditional disaster assessment, it usually focuses on the disaster damage and risk assessment, which is short of the features from different industries to understand the impact of the restoring force in post-disaster resilience and the main factors that constitute resilience. The object of this study is based on disaster recovery experience of tourism area and to understand the main factors affecting the tourist area of disaster resilience. The combinations of literature review and interviews with experts are prepared an early indicator system of the disaster resilience. Then, it is screened through a Fuzzy Delphi Method and Analytic Network Process for weight analysis. Finally, this study will establish the tourism disaster resilience evaluation index system considering the Taiwan's tourism industry characteristics. We hope that be able to enhance disaster resilience after tourist areas and increases the sustainability of industrial development. It is expected to provide government departments the tourism industry as the future owner of the assets in extreme climates responses

The Association between Traditional Chinese Dietary and Herbal Therapies and Uterine Involution in Postpartum Women

Background. Traditional Chinese postpartum care is believed to help in the recovery of women after delivery. Objective. This study investigated the association of elements in dietary and herbal therapy with uterine involution. Methods. Indices of uterine involution were measured ultrasonographically in 127 postpartum women between 4-6 weeks after delivery. A self-reported retrospective questionnaire was used to query women about their frequencies of taking herbal medicines and consuming special diets during the first month after delivery. Correlation coefficients were calculated to identify the associations, then the regression models were used to identify the predictors. Result. Among the herbal medicines and diet, consumption of Eucommia ulmoides (E. ulmoides) negatively correlated with the AP diameter of the uterus and the cavity. E. ulmoides was also the only predictor of maximum AP diameter of the uterus, AP diameter of the uterus 5 cm from the fundus, and the maximum AP diameter of the cavity. Moreover, consumption of Sheng-hau-tang was significantly correlated with anteverted uterus and was a predictor of anteverted uterus. Conclusion. E. ulmoides and Sheng-hau-tang positively correlated with the degree of uterine involution after delivery, implying that both therapies might possess the pharmacological efficacy of uterine contraction in postpartum women

Disease-specific quality-of-life measures as predictors of mortality in individuals living with type 2 diabetes

[[abstract]]Objective The aim of this study was to examine whether disease-specific quality-of-life measures are independent predictors of mortality in patients with type 2 diabetes. Methods A cohort of 420 patients with type 2 diabetes was recruited from the outpatient clinic of a medical center. At baseline, the disease-specific measure of the Diabetes Impact Measurement Scales (DIMS) and clinical and biological marker variables were measured. The DIMS domains included symptoms, diabetes-related morale, social role fulfillment, and well-being. Complications consisted of stroke, heart disease, visual impairment, amputations, kidney disease, cognitive impairment, and incontinence. Mortality data were collected from the national mortality register using personal identification numbers. Multivariate Cox proportional hazards models were used. Results The overall mortality rate was 10.9%. The DIMS scales of symptoms and well-being and the total score were significantly associated with mortality, independent of age, gender, glucose control, and complications. When the scales of the DIMS were simultaneously considered, only symptom and social role fulfillment of the DIMS exerted a significant effect on mortality. Patients in the categories of the second and third quartiles (worse status) had significantly increased risk compared with those in the category of the fourth quartile (best status) [for the symptom scale: RR=13.10, 95% confidence interval (CI)=2.75–62.50 and RR=5.49, 95% CI=1.50–20.09, respectively; for the social role fulfillment scale: RR=6.18, 95% CI=1.10–34.87 and RR=6.53, 95% CI=1.40–30.57, respectively]. Conclusion Our data suggest that the unique contribution of health-related quality of life to mortality was independent of objective health measures, such as glucose control and complications

Prevalence and Correlates of Depression among Chronic Kidney Disease Patients in Taiwan

Background: Chronic kidney disease (CKD) is a progressive disease that causes a permanent impairment of renal function and premature mortality. The associated prognosis may result in serious psychological distress to the affected individual. However, there are limited data on the psychological correlates, and in particular depression, in Chinese CKD patients. This study aimed to examine the prevalence of depression, as well as the influence of other psychosocial factors on depression, among Taiwanese CKD patients. Methods: We used a cross-sectional research design to recruit 270 CKD patients who were not undergoing dialysis treatment at a hospital in southern Taiwan during 2011. The structured questionnaire used in this study gathered information on respondent demographic and disease characteristics, and information obtained from the Taiwanese Depression Questionnaire. Factors associated with depression were examined by a multiple logistic regression analysis. Results: The crude and age-standardized prevalence of depression were 22.6% and 20.6%, respectively. Those who had sleep disturbances, reported having no religious beliefs, followed no regular exercise regimen, and were diagnosed with stage III or above CKD demonstrated a significantly higher risk of depression. Conclusion: Our findings are beneficial to healthcare providers, as they identify both the prevalence of depression and several of its correlates. By identifying CKD patients with a higher risk of depression, healthcare providers may be better able to ensure the provision of appropriate rehabilitation to this population

The Effectiveness of Traditional Chinese Medicine in Treating Patients with Leukemia

Leukemia is the most common malignancy among all childhood cancers and is associated with a low survival rate in adult patients. Since 1995, the National Health Insurance (NHI) program in Taiwan has been offering insurance coverage for Traditional Chinese Medicine (TCM), along with conventional Western medicine (WM). This study analyzes the status of TCM utilization in Taiwan, in both pediatric and adult patients with leukemia. A retrospective cohort study was conducted using population-based National Health Insurance Research Database of Registry of Catastrophic Illness, involving patient data from 2001 to 2010 and follow-up data through 2011. The effectiveness of TCM use was evaluated. Relevant sociodemographic data showed that both pediatric and adult patients who were TCM users one year prior to leukemia diagnosis were more likely to utilize TCM services for cancer therapy. A greater part of medical expenditure of TCM users was lower than that of TCM nonusers, except little discrepancy in drug fee of adult patients. The survival rate is also higher in TCM users. Altogether, these data show that TCM has the potential to serve as an adjuvant therapy when combined with conventional WM in the treatment of patients with leukemia

Polarizing Lamp

A polarizing lamp includes a polarization beam splitter, a metallic grating reflector having metallic gratings with a trapezoidal profile, and an unpolarized light source positioned between the polarization beam splitter and the metallic grating reflector