Kernel naive Bayes discrimination for high‐dimensional pattern recognition

Kernel discriminant analysis translates the original classification problem into feature space and solves the problem with dimension and sample size interchanged. In high‐dimension low sample size (HDLSS) settings, this reduces the ‘dimension’ to that of the sample size. For HDLSS two‐class problems we modify Mika's kernel Fisher discriminant function which – in general – remains ill‐posed even in a kernel setting; see Mika et al. (1999). We propose a kernel naive Bayes discriminant function and its smoothed version, using first‐ and second‐degree polynomial kernels. For fixed sample size and increasing dimension, we present asymptotic expressions for the kernel discriminant functions, discriminant directions and for the error probability of our kernel discriminant functions. The theoretical calculations are complemented by simulations which show the convergence of the estimators to the population quantities as the dimension grows. We illustrate the performance of the new discriminant rules, which are easy to implement, on real HDLSS data. For such data, our results clearly demonstrate the superior performance of the new discriminant rules, and especially their smoothed versions, over Mika's kernel Fisher version, and typically also over the commonly used naive Bayes discriminant rule.     

Influence of a home-based exercise program on the urine pH in elderly female subjects: a secondary analysis of a randomized controlled trial

Background

A low urine pH is a characteristic metabolic feature of metabolic syndrome and type 2 diabetes. The purpose of the current study was to investigate the effects of a 12-week home-based bench step exercise on the urine pH status of elderly female subjects.

Methods

The current study is a secondary analysis of a randomized controlled trial (RCT) in which 59 postmenopausal female subjects were randomized to either the exercise group (n?=?29) or the control group (n?=?30). The subjects in the exercise group were instructed to perform home-based exercises using a bench step at the anaerobic threshold (AT), with a goal of performing ≥140 min/week at home for 12 weeks. The subjects in the control group were instructed to not change their normal lifestyle. Urine was collected after overnight fasting, and the urine pH was measured using a urinary test strip. The inter-group-differences at baseline and the pre-post changes within groups were assessed using the Mann-Whitney U test and Wilcoxon’s signed-rank test, respectively. Additionally, the difference in the post-intervention urine pH levels of the two groups, adjusted for the pre-intervention values (the estimated effect size) and the precision (95% confidence intervals) were investigated using an analysis of covariance.

Results

The pre-post comparison of the urine pH data using Wilcoxon’s signed-rank test showed a significant increase in the urine pH levels of the exercise group (p?<?0.05); there was no significant change in the urine pH levels of the control group. However, the estimated effect size (0.15) was small and the confidence interval straddled 0 (?0.25–0.55).

Conclusions

Based on the results of the current secondary analysis of an RCT, we could not clearly conclude that exercise has a beneficial effect on the urine pH. Further well-designed RCTs should be conducted to determine whether aerobic exercise is truly able to ameliorate urine acidification.

Trial registration

The study was retrospectively registered in the University Hospital Medical Information Network (UMIN) as “Effect of step exercise on aerobic fitness and progression of atherosclerosis in the elderly” under the registration number UMIN 000026743 (the date of registration: March 28, 2017).

     

Finite Sample Modifications of the Granger Non Causality Test in Cointegrated Vector Autoregressions

This article deals with the Granger non causality test in cointegrated vector autoregressive processes. We propose a new testing procedure that yields an asymptotically standard distribution and performs well in small samples by combining the standard Wald test and the generalized inverse procedure. We also propose a few simple modifications to the test statistics in order to help our procedure perform better in finite samples. Monte Carlo simulations show that our procedure works better than the conventional approach.     

On Labor Policies Affecting Investment in General Human Capital

Abstract. This paper develops a search model including workers’ investments in general human capital and investigates the effects of labor policies such as subsidies to human capital investment and unemployment benefits on the accumulation of human capital. It is shown that the equilibrium is not optimal because workers underinvest in human capital or firms open too many vacancies in comparison with the number of unemployed workers. Comparative statics show that an increase in subsidies to human capital investment adds to the number of vacancies per unemployed worker and to workers’ investments in human capital and that an increase in unemployment benefits decreases them. Finally, labor policies that remove the distortion are explored.     

Comparative studies on the seasonal occurrence, nymphal development and food menu in two giant water bugs,Diplonychus japonicus vuillefroy andDiplonychus major esaki (Hemiptera: Belostomatidae)

Summary We compared the seasonal changes in population density and nymphal development at different water temperatures and under different food conditions between two giant water bugs,Diplonychus japonicus andD. major, in Okayama, Japan. D. japonicus produced 1–2 generations a year, whileD. major was strictly inivoltine. The developmental velocity was higher inD. japonicus than inD. major. The thermal constant ofD. japonicus was less than that ofD. major. These results suggest thatD. japonicus is adapted, to higher water temperature thanD. major. In the field,D. japonicus preyed predominately on Lymnaeidae and Physidae snails, whileD. major preyed on aquatic insects such as dragonfly nymphs.     

中国固有法秩序与西方近代法秩序

西方法秩序的形成是以个体为出发点的,然后再考虑保护这些个体利益的社会组织,即个体出发型;而中国法秩序的构思是首先考虑人们的整体共存,然后再给各个主体划分相应的利益,即整体出发型。西方法秩序是被现实的世界和法的世界双重化后,再由法的世界统治现实世界;在传统中国,法的世界和现实的世界之间没有媒介,二者是合为一体的。近代中国引进的西方"法制度",不是一种法秩序,而是一种工具或者社会装置。     

Ecological restoration of a fragmented urban shrine forest in southeastern Hyogo Prefecture,Japan: Initial effects of the removal of invasive <Emphasis Type="Italic">Trachycarpus fortunei</Emphasis>

We investigated the species composition of a fragmented forest in Nishinomiya Shrine, southeastern Hyogo Prefecture, Japan. Two escaped ornamental species, Trachycarpus fortunei and Ligustrum lucidum, and bird-dispersed deciduous trees were invading the evergreen broadleaf forest. Invasive and bird-dispersed deciduous species were most abundant along the outer edge of the forest. In 2005, restoration measures were taken to remove all individuals of T. fortunei from the forest. We estimated that, biomass density and leaf area index (LAI, leaf area per unit ground area) of T. fortunei were 0.23 kg m⁻² and 0.77, respectively, which accounted for 8.9% and 27.9% of the biomass density and LAI, respectively, of the entire forest. After removal, canopy openness increased in the understory. However, the understory lacked seedlings and saplings of native species, indicating that active re-vegetation may be needed to accelerate reestablishment of native species in areas that were heavily invaded by T. fortunei. This study represents one of the first examples of active vegetation management in shrine/temple forests in Japan.     

Framing effects and gender differences in voluntary public goods provision experiments

We examine whether there are any systematic gender differences in voluntary public goods provision experiments under the two different framing conditions—the positive-frame and the negative-frame. We find that: (1) there are significant framing effects in their contribution rates for both men and women; (2) there is no significant gender difference in their contribution rates under the positive-frame and (3) there is a significant gender difference in their contribution rates under the negative-frame. In fact, women are more generous in their contribution than men under the negative-frame.     

Reproductive compatibility between populations of the citrus red mite,Panonychus citri (McGregor ) (Acarina: Tetranychidae)

Summary Reproductive compatibility was studied among populations of different types of the citrus red mite,Panonychus citri (McGregor), i.e., the diapausing type from pear (DP), the non-diapausing type from citrus (C) and that from pear (NP). Copulation was also observed between mates of different types (DP and C). Only in crosses between C ♀ and DP ♂, was copulation occasionally broken off prematurely; duration of copulation varied considerably between pairs and the average duration was much shorter than that between DP ♀ and C ♂ and than that in crosses between mates of the same types. No F₁ adult females were produced at all from crosses between DP and C, showing that there was a complete reproductive isolation between the two types. There was a significant reciprocal difference in the egg hatchability and survival rate of immatures in the F₁ progeny; mortality in the eggs and that in the immature stage were significantly higher in crosses between DP ♀ and C ♂, as compared to those in the reciprocal cross. This suggested that fertilization may have occurred in the former cross, whereas it seemed that eggs were not fertilized in crosses between the C ♀ and DP ♂. The NP was compatible with the C, whereas it was completely incompatible with the DP. Thus, there was a complete reproductive incompatibility between the diapausing and non-diapausing type ofP. citri. This work was supported in part by Grant-in-Aid No. 60560049 from the Ministry of Education, Science and Culture, Japan.