A functional perspective on machine learning via programmable induction and abduction

We present a programming language for machine learning based on the concepts of ‘induction’ and ‘abduction’ as encountered in Peirce’s logic of science. We consider the desirable features such a language must have, and we identify the ‘abductive decoupling’ of parameters as a key general enabler of these features. Both an idealised abductive calculus and its implementation as a PPX extension of OCaml are presented, along with several simple examples

Measurement invariance of the center for epidemiological studies depression scale (CES-D) among chinese and dutch elderly

Background: Although previous studies using non- elderly groups have assessed the factorial invariance of the Center for Epidemiological Studies Depression Scale (CES-D) across different groups with the same social-cultural backgrounds, few studies have tested the factorial invariance of the CES-D across two elderly groups from countries with different social cultures. The purposes of this study were to examine the factorial structure of the CES-D, and test its measurement invariance across two different national elderly populations. Methods. A total of 6806 elderly adults from China (n = 4903) and the Netherlands (n = 1903) were included in the final sample. The CES-D was assessed in both samples. Three strategies were used in the data analysis procedure. First, a confirmatory factor analysis (CFA) was carried out to determine the factor structures of the CES-D that best fitted the two samples. Second, the best fitting model was incorporated into a multi-group CFA model to test measurement invariance of the CES-D across the two population groups. Third, latent mean differences between the two groups were tested. Results: The results of confirmatory factor analysis (CFA) showed: 1) in both samples, Radloff's four-factor model resulted in a significantly better fit and the four dimensions (somatic complaints, depressed affect, positive affect, and interpersonal problems) of the CES-D seem to be the most informative in assessing depressive symptoms compared to the single-, three-, and the second-order factor models; and 2) the factorial structure was invariant across the populations under study. However, only partial scalar and uniqueness invariance of the CES-D items was supported. Latent means in the partial invariant model were lower for the Dutch sample, compared to the Chinese sample. Conclusions: Our findings provide evidence of a valid factorial structure of the CES-D that could be applied to elderly populations from both China and the Netherlands, producing a meaningful comparison of total scores between the two elderly groups. However, for some specific factors and items, caution is required when comparing the depressive symptoms between Chinese and Dutch elderly groups. © 2011 Zhang et al; licensee BioMed Central Ltd

Evaluation design of a reactivation care program to prevent functional loss in hospitalised elderly: A cohort study including a randomised controlled trial

Background: Elderly persons admitted to the hospital are at risk for hospital related functional loss. This evaluation aims to compare the effects of different levels of (integrated) health intervention care programs on preventing hospital related functional loss among elderly patients by comparing a new intervention program to two usual care progra

ABJ theory in the higher spin limit

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are creditedArticle funded by SCOAP3 .Article funded by SCOAP3 .The work of SH was supported in part by the National Research Foundation of South Africa and DSTNRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS). Opinions expressed and conclusions arrived at are those of the author and are not necessarily to be attributed to the NRF or the CoE-MaSS. The work of KO was supported in part by JSPS Grant-in-Aid for Young Scientists (B) 23740178. MS is grateful to the Weizmann Institute for the stimulating environment at the “Black Holes and Quantum Information” workshop. The work of MS was supported in part by Grant-in-Aid for Young Scientists (B) 24740159 from the Japan Society for the Promotion of Science (JSPS)

On handling singularities in finite elements

ABSTRACT. In the practice of the Boundary Element Method, a basic task involves the quadrature over a quadrilateral or triangle of an integrand function which has a singularity of known form at a vertex. A not uncommon situation is that this quadrature has already been studied in depth for the standard triangle or the square, and all that is now necessary is to apply the known results in the con-text of a different triangle or parallelogram, one that has been obtained from the standard region by an affine transformation. It can be surprising to someone who has not done it himself, how difficult this task can be. This article provides an account of how easy it is to be misled in this area. Besides describing an apparently cost effective approach which turns out to be a disaster, I discuss some of the advantages and disadvantages of using rules based on extrapolation either as an alternative to, or in conjunction with Gaussian rules. This article is anecdotal in character. 1