Motivated by the problem of training multilayer perceptrons in neural networks, we consider the problem of minimizing E(x) = ∑ni=1 fi(ξi · x), where ξi ∈ Rs , 1 i n, and each fi(ξi · x) is a ridge function. We show that when n is small the problem of minimizing E can be treated as one of minimizing univariate functions, and we use the gradient algorithms for minimizing E when n is moderately la...

Although age is thought to correlate with the prognosis of glioma patients, the most appropriate age-group classification standard to evaluate prognosis had not been fully studied. This study aimed to investigate the influence of age-group classification standards on the prognosis of patients with high-grade hemispheric glioma (HGG). This retrospective study of 125 HGG patients used three diffe...

A univariate trace polynomial is a in variable x and formal symbols Tr ( j ) . Such an expression can be naturally evaluated on matrices, where the are as normalized traces. This paper addresses global constrained positivity of polynomials symmetric matrices all finite sizes. tracial analog Artin's solution to Hilbert's 17th problem given: positive semidefinite quotient sums products squares tr...

We developed a high-performance liquid-chromatographic separation of five steroids (estriol, estradiol, cortisol, progesterone, and testosterone), eluting with a water-acetonitrile gradient from a reversed-phase (C18) column. By applying a simplex search algorithm to maximize a chromatographic-response function, we sought to optimize the original conditions of the chromatographic analysis, whic...

background and aims: pelvic organ prolapse (pop) is a common condition which affects on a large proportion of women. the objective of this study was to determine the risk factors of pop in iranian women. methods: this cross-sectional study was carried out to examine the role of demographic, anthropometric and clinical characteristics in pop disease in a sample of 365 females in ilam, iran. exam...