A case study of teaching skewness discrete random variables based on MATLAB software is presented. By calculating the binomial and Poisson distributions realizing independent learning process with help visual software, it can not only simplify teachers, but also stimulate motivation students, which indirectly improves classroom participation students in degree lays foundation for to engage subsequent scientific research work.

The subject of oil price forecasting has obtained an incredible amount interest from academics and policymakers in recent years due to the widespread impact that it on various economic fields markets. Thus, a novel method based decomposition-reconstruction-ensemble for crude is proposed. Based Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) technique, this paper we construct recursive CEEMDAN model considering complexity traits data. In model, steps mode...

In this paper, we present some sharp inequalities for the ratio of gamma functions. The main tool is multiple-correction method formulated in (Cao et al. J. Number Theory 149:327-350, 2015; Cao Math. Anal. Appl. 424:1425-1446, 2015). Some conjectures are proposed.

In dealing with a large number of train samples, Support Vector Regression (SVR) algorithm is slow. particular, while new sample added, all the training samples must be re-trained. this paper, SVR incremental presented, which based on boundary vector. The takes full advantages geometric information sets. observed data China's GDP used as case study for algorithm. computing results show that not only can guarantee accuracy machine learning and good generalization ability, but also increase...

In this paper, a novel smoothing function method for the 1-norm support vector regression (SVR short) is proposed and an attempt to overcome some drawbacks of former which are complex, subtle, sometimes difficult implement. The model machine (SVM) based on provided from optimization problem, yet it discrete programming. With technique optimality knowledge, programming changed into continuous Experimental results show that algorithm easy implement fast insensitive initial point. Theory...

Novel smoothing function method for Support Vector Classification (SVC) and Regression (SVR) are proposed attempt to overcome some drawbacks of former which complex, subtle, sometimes difficult implement. First, used Karush-Kuhn-Tucker complementary condition in optimization theory, unconstrained nondifferentiable model is built. Then the smooth approximation algorithm basing on differentiable given. Finally, paper trains data sets with standard unconstraint method. This fast insensitive...

The present paper is devoted to a novel smoothing function method for convex quadratic programming problem with mixed constrains, which has important application in mechanics and engineering science. reformulated as system of non-smooth equations, then the equations proposed. condition convergences this iteration algorithm given. Theory analysis primary numerical results illustrate that feasible effective.

For the first time, we investigate properties of transverse electric polarized nonlinear guided waves propagating in an asymmetric N-channel waveguide surrounded on both sides by Kerr-like media. We use a transfer matrix formalism that allows exact calculation stationary field distribution and dispersion relation. specific material system, several numerical examples rich structured curve together with detailed plots power-dependent profiles are presented.

We investigate the modulational instability and time-domain dynamics of nonlinear magnetic metamaterials composed coupled split-ring resonators loaded by Kerr nonlinearity. Our results indicate that recently proposed optical switching local index based on uniform-response assumption seems fragile. conceive two alternative schemes to utilize valuable enhanced non- linearity, one is focus few-body systems directly make use (e.g., an comparator design), other consider global arising from...

Solving large-scale systems of nonlinear equations/inequalities is a fundamental problem in computing and optimization. In this paper, we propose smoothing approximate framework for problem. We first transform the convex inequalities into mini-max which non-differentiable, then show that an solution can be obtained by approximation technique. approach Newton-type algorithm to solve Some properties novel function are presented global convergence proved under some mild assumptions. Numerical...

By doing time-domain simulations, we find the proposal for negative-to-positive index switching proposed in [Physical Review Letters, 106 105503 (2012)] may be fragile. The negative opinion on uniform of local optical constants our recent paper [arXiv:1111.1476v2] based circuit model metamaterials can therefore verified this specific and realistic case.

The standard 2-norm support vector machine (SVM for short) is known its good performance in classification and regression problems. In this paper, the 1-norm considered a novel smoothing function method Support Vector Classification(SVC) Regression (SVR) are proposed an attempt to overcome some drawbacks of former methods which complex, subtle, sometimes difficult implement. First, using Karush-Kuhn-Tucker complementary condition optimization theory, unconstrained non-differentiable model...

In this paper, the infinite norm SVM is considered and a novel smoothing approximation function for Support Vector Machine proposed in attempt to overcome some drawbacks of former method which are complex, subtle, sometimes difficult implement. Firstly, we use Karush-Kuhn-Tucker complementary condition optimization theory, unconstrained non-differentiable model built. Then smooth algorithm based on differentiable given. Finally, paper trains data sets with standard unconstraint method. This...

We present a novel NMR technique that provides non-invasive, direct measurement of gas exchange in three-dimensional gas-fluidized bed solid particles. The spectrum hyperpolarized 129Xe an Al2O3 particle displays three resolved peaks corresponding to xenon bubbles, the interstitial spaces (emulsion), and adsorbed on Modified saturation-recovery sequences, together with data analysis based exchange-coupled set Bloch equations, yield rate constants between emulsion phases, bubble phases....