An ensemble learning framework for potential miRNA-disease association prediction with positive-unlabeled data

To explore the pathogenic mechanisms of MicroRNA (miRNA) on diverse diseases, many researchers have concentrated on discovering the potential associations between miRNA and disease using machine learning methods. However, the prediction accuracy of supervised machine learning methods is limited by lacking of experimentally-validated uncorrelated miRNA-disease pairs. Without these negative samples, training a highly accurate model is much more difficult. Different from traditional miRNA-disease prediction models using randomly selected unknown samples as negative training samples, we propose an ensemble learning framework to solve this positive-unlabeled (PU) learning problem. The framework incorporates two steps, i.e., a novel semi-supervised Kmeans (SS-Kmeans) to extract reliable negative samples from unknown miRNA-disease pairs and subagging method to generate diverse training sample sets to make full use of those reliable negative samples for ensemble learning. Combined with effective random vector functional link (RVFL) network as prediction model, the proposed framework showed superior prediction accuracy comparing with other popular approaches. A case study on lung and gastric neoplasms further confirms the framework’s efficacy at identifying miRNA disease associations.     

Online Column Extraction Coupled with Double-Trap Column System for HPLC Determination of Valproic Acid in Human Plasma Without Derivatization

Chromatographia - An automated online column extraction coupled with high-performance liquid chromatography (HPLC) and equipped with a double-trap column system was developed to determine valproic...     

可见光铋系光催化剂的研究进展

当前工业发展导致了严重的能源和环境危机,光催化为这一难题提供了有效的解决方案.然而在实际应用中,传统氧化物光催化剂宽的带隙限制了它的可见光吸收,于是窄带隙光催化剂成为了研究的热点.其中铋系光催化剂以其高的可见光光催化活性引起了人们的广泛关注.因此本文介绍了铋系光催化剂的种类、制备、形貌、复合、性能等方面的研究现状,并展望了含铋可见光催化剂发展前景.     

奇素数幂中的优美指数猜想

对于不小于7素数p,设1≤k≤p-1,则使用同余方法可证明方程n=pkp-1d（n）无正整数解,从而pkp-1不是优美指数,进而可以肯定＂存在无穷多个正整数不是优美指数＂.     

Adaptive Modified Function Projective Lag Synchronization for Two Different Chaotic Systems with Stochastic Unknown Parameters

In this paper, we investigate the modified function projective lag synchronization for two different stochastic chaotic systems using adaptive control method. We design an adaptive controller to make the mean square of synchronization error convergence to an arbitrarily small bound around zero depending on the controller feedback gain according to the Lyapunov stability theory. One example is presented to demonstrate the effectiveness of the proposed controller.

     

二元凸函数的判别条件

给出了二元凸函数的定义,导出了二元凸函数的判别条件,该判别条件由二元函数的二阶导数给出.用二元凸函数的判别条件和半正定的(半负定)矩阵的性质,得到了二元二次多项式凸性的简单判别形式.     

矩阵方程X+A^{*}X^{-q}A=Q(q\geq 1)的Hermitian正定解

本文研究矩阵方程X A~*X~(-q)A=Q(q≥1)的Hermitian正定解,给出了存在正定解的充分条件和必要条件,构造了求解的迭代方法.最后还用数值例子验证了迭代方法的可行性和有效性.     

The Constrained Solutions of Two Matrix Equations

We study the symmetric positive semidefinite solution of the matrix equation AX ₁ A ^T + BX ₂ B ^T = C, where A is a given real m×n matrix, B is a given real m×p matrix, and C is a given real m×m matric, with m, n, p positive integers; and the bisymmetric positive semidefinite solution of the matrix equation D ^T XD = C, where D is a given real n×m matrix, C is a given real m×m matrix, with m, n positive integers. By making use of the generalized singular value decomposition, we derive general analytic formulae, and present necessary and sufficient conditions for guaranteeing the existence of these solutions. Received December 17, 1999, Revised January 10, 2001, Accepted March 5, 2001     

一类矩阵方程的广义Hermite问题

该文主要解决了如下两个问题 问题I 已知矩阵 M∈ C^n×e, A∈C^n×m, B∈ C^m×m, 求 X∈ HC_M,n使得 A^HXA=B, 其中 HC_M,n={ X∈ C^n×n}|α^H(X-X^H)=0, for all α∈ C(M) }. 问题II 任意给定矩阵 X^* ∈C^n×n, 求 $\hat{X}\in H_E$ 使得 ||\hat{X}-X^*||=\min\limits_{X∈ H_E}||X-X^*||, 这里 H_E 为问题I的解集. 利用广义奇异值分解定理,得到了问题I的可解条件及其通解表达式, 获得了问题II的解,并进行了相应的数值计算.     

高陡边坡GPS位移监测的工程应用

介绍了GPS（Global Positioning System）自动位移监测系统的主要构成、位移监测的原理和提高GPS观测精度的方法．并将GPS应用于某矿区高陡边坡的位移监测中。其包括监测系统、监测方式、监测步骤和监测结果，表明：采用GPS技术进行位移监测，具有精度高、不受气候条件约束及高度自动化等优点，能够为边坡可能出现失稳破坏的部位和变形破坏时同的预测提供必要的前提条件；GPS的数据表明该边坡的变形速率为0．247～0．560mm／d，低于安全极限范围10．0～20．0mm／d，边坡处于稳定状态，通过GPS的数据分析确保了生产的安全．