Optimized parameter search for large datasets of the regularization parameter and feature selection for ridge regression

In this paper we propose mathematical optimizations to select the optimal regularization parameter for ridge regression using cross-validation. The resulting algorithm is suited for large datasets and the computational cost does not depend on the size of the training set. We extend this algorithm to forward or backward feature selection in which the optimal regularization parameter is selected for each possible feature set. These feature selection algorithms yield solutions with a sparse weight matrix using a quadratic cost on the norm of the weights. A naive approach to optimizing the ridge regression parameter has a computational complexity of the order with the number of applied regularization parameters, the number of folds in the validation set, the number of input features and the number of data samples in the training set. Our implementation has a computational complexity of the order . This computational cost is smaller than that of regression without regularization for large datasets and is independent of the number of applied regularization parameters and the size of the training set. Combined with a feature selection algorithm the algorithm is of complexity and for forward and backward feature selection respectively, with the number of selected features and the number of removed features. This is an order faster than and for the naive implementation, with for large datasets. To show the performance and reduction in computational cost, we apply this technique to train recurrent neural networks using the reservoir computing approach, windowed ridge regression, least-squares support vector machines (LS-SVMs) in primal space using the fixed-size LS-SVM approximation and extreme learning machines

Can pictures have explicatures?

This paper considers the question of whether pictures can be understood to give rise to explicit meanings. In relevance-theoretic terms, this means asking whether pictures give rise to ‘explicatures’. The definition of the term ‘explicature’ seems to rule out this possibility except in cases where pictures include or are accompanied by material with coded meanings. The paper considers a range of non-verbal phenomena with coded meanings, including pictograms (Forceville 2011, Forceville et al 2014). It then considers whether the explicature-implicature distinction could be relevant to pictures without such elements. Some assumptions communicated by pictures seem to be more ‘explicature-like’ than others, so it is possible that the distinction will be useful. The question is not merely terminological as the discussion leads to a fuller understanding of ways in which pictures communicate

Inferring time-derivatives including cell growth rates using Gaussian processes

Often the time derivative of a measured variable is of as much interest as the variable itself. For a growing population of biological cells, for example, the population's growth rate is typically more important than its size. Here we introduce a non-parametric method to infer first and second time derivatives as a function of time from time-series data. Our approach is based on Gaussian processes and applies to a wide range of data. In tests, the method is at least as accurate as others, but has several advantages: it estimates errors both in the inference and in any summary statistics, such as lag times, and allows interpolation with the corresponding error estimation. As illustrations, we infer growth rates of microbial cells, the rate of assembly of an amyloid fibril and both the speed and acceleration of two separating spindle pole bodies. Our algorithm should thus be broadly applicable

Personal attributes as determinants of timely care in rheumatoid arthritis

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Monitoring the evolution of free and cysteinylated aldehydes from malt to fresh and forced aged beer

During storage, beer staling coincides with a gradual increase in the concentrations of aldehydes resulting in the appearance of undesirable flavours. Cysteinylated aldehydes, also referred to as 2-substituted 1,3-thiazolidine-4carboxylic acids, have been proposed as potential precursors of this increase. This study aimed to further understand the origin of aldehydes in aged beer, by monitoring both free and cysteinylated aldehydes throughout the brewing process, from the raw materials until the stored product. Quantification of free and cysteinylated aldehydes was performed for two different brews via headspace solid phase microextraction-gas chromatography-mass spectrometry (HS-SPME-GC-MS) and ultra-high performance liquid chromatography-mass spectrometry (UHPLC-MS), respectively. All selected marker aldehydes were quantified in malt, wort, and the resulting fresh and aged beer samples. Cysteinylated aldehydes were quantifiable in malt and up to the wort boiling phase. The highest levels of free aldehydes were found in malt, whereas cysteinylated aldehydes showed highest levels at mashing-in pointing to their formation during both malting and subsequent mashing-in. During beer ageing, an increase in all free aldehydes was measured. In particular, a rise in 2-methylpropanal and furfural is most striking. Although the presented experimental data obtained on malt and brewery samples do support the concept of bound-state aldehydes, cysteinylated aldehydes cannot be consider as the cause of increasing levels of staling aldehydes during beer ageing

A possible role of the cytochrome P450c17alpha gene (CYP17) polymorphism in the pathobiology of uterine leiomyomas from black South African women: a pilot study

To investigate the role of the CYP17 gene promoter polymorphism in the pathobiology of uterine leiomyomas in African and Caucasian women. During a 6-month period, 145 Caucasian and black South African women undergoing hysterectomy were included prospectively. Blood samples were obtained for DNA analysis. Factors modifying the risk for uterine leiomyoma growth such as age, parity, age at last birth, weight, body mass index, menopausal status, cigarette smoking and oral contraceptive use were determined. The risk for leiomyoma development among black South African homozygous carriers of the CYP17 A2 allele was shown to be significantly increased when compared to women homozygous for the CYP17 A1 allele or to heterozygous women. Logistic regression analysis disclosed age, parity and CYP17 polymorphism to have an impact on the presence of uterine leiomyomas (p-values are, respectively, 0.0006, 0.0001 and 0.03) in black South African women. However, among Caucasian women, logistic regression analysis showed only intake of oral contraceptives to influence the formation of uterine leiomyomas (p = 0.03). This exploratory trial suggests that among African women, homozygous carriers of the CYP17 A2 allele expose their myometrium to a stronger estrogenic stimulation contributing to the pathobiology of uterine leiomyoma