In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given; then the characterization is further used to show that the Hahn-Banach type of extension theorem is st...In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given; then the characterization is further used to show that the Hahn-Banach type of extension theorem is still true for continuous module homomorphisms on random semi-normed modules.展开更多
In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered...In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.展开更多
One of the important problems of stochastic process theory is to define the Laplace transforms for the distribution of semi-markov random processes. With this purpose, we will investigate the semimarkov random process...One of the important problems of stochastic process theory is to define the Laplace transforms for the distribution of semi-markov random processes. With this purpose, we will investigate the semimarkov random processes with positive tendency and negative jump in this article. The first passage of the zero level of the process will be included as a random variable. The Laplace transforms for the distribution of this random variable is defined. The parameters of the distribution will be calculated on the basis of the final results.展开更多
This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1...This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1</sup>(R<sup>n</sup>). First, we study the existence and uniqueness of solutions by a noise arising in a continuous random dynamical system and the asymptotic compactness is established by using uniform tail estimate technique, and then the existence of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity. As a motivation of our results, we prove an existence and upper semi-continuity of random attractors with respect to the nonlinearity that enters the system together with the noise.展开更多
提出了一种基于闭合频繁模式的半随机森林数据流分类算法(Semi-Random Forest based on Closed Frequent Pattern,SRFCFP),以解决数据流中噪声和概念漂移问题。SRFCFP利用闭合频繁模式对数据流进行表示,去除冗余信息和噪声,突出数据特...提出了一种基于闭合频繁模式的半随机森林数据流分类算法(Semi-Random Forest based on Closed Frequent Pattern,SRFCFP),以解决数据流中噪声和概念漂移问题。SRFCFP利用闭合频繁模式对数据流进行表示,去除冗余信息和噪声,突出数据特征。采用半随机森林建立分类模型,并通过基于时间衰减的模式集更新机制适应数据流的无限性。为了检测概念漂移并及时适应,引入了一种模式集差异性度量方式,用于测量数据分布变化。实验结果表明,在MOA平台下使用真实和合成数据集,SRFCFP在平均精度上超越了相关对比算法,并能有效处理数据流中的概念漂移和噪声问题。展开更多
In this paper we study a continuous time random walk in the line with two boundaries [a,b], a < b. The particle can move in any of two directions with different velocities v1 and v2. We consider a special type of b...In this paper we study a continuous time random walk in the line with two boundaries [a,b], a < b. The particle can move in any of two directions with different velocities v1 and v2. We consider a special type of boundary which can trap the particle for a random time. We found closed-form expressions for the stationary distribution of the position of the particle not only for the alternating Markov process but also for a broad class of semi-Markov processes.展开更多
There are some mathematical models(see Example2.4)and analogous results in standard martingale theorywhich can not be described by the usual fuzzy martingaletheory because of the lack of corresponding semi-orderin the...There are some mathematical models(see Example2.4)and analogous results in standard martingale theorywhich can not be described by the usual fuzzy martingaletheory because of the lack of corresponding semi-orderin the fuzzy number space(E^n,D).In this paper,asuitable semi-order in the fuzzy number space(E^n,D)and the semi-order fuzzy supermartingale and submar-tingale are introduced,the charaterlstics of semi-ordersupermartingales and submartingales,as well as theDood’s stopping theorem for them(the bounded stoppingtimes theorem and the general stopping times theoremfor a class of closable semi-order fuzzy supermartin-gales and submartingales)are established.展开更多
In order to evaluate two different schemes' structural dynamic characters, dynamic response analysis of a commercial truck's main chassis frames is carried out. On the basis of correlation study between the tested a...In order to evaluate two different schemes' structural dynamic characters, dynamic response analysis of a commercial truck's main chassis frames is carried out. On the basis of correlation study between the tested and calculated modal results, the assembled frames' finite element analysis (FEA) models with sufficient precision are built up. Random response analysis in frequency domain is carried out with these FEA models, RMS values of yon Mises and main principle stresses of these two frames are obtained. It shows that the analysis resuits of the distributing tendency and concrete value ranges are coincident very well with test results. And from the results, it could be concluded that frames of scheme A endures relative better loading conditions and should be adopted as the final scheme.展开更多
On the basis of Miner's linear cumulative damage theorem, random variables are introduced to evaluate objectively the fatigue damage of a semi-submerged platform structure and a method is presented to analyze the ...On the basis of Miner's linear cumulative damage theorem, random variables are introduced to evaluate objectively the fatigue damage of a semi-submerged platform structure and a method is presented to analyze the fatigue reliability of the structure in its design life. The reliability of the method is verified through numerical examples and some conclusions are drawn, which have certain guiding and reference value for design and inspection.展开更多
肝癌是常见癌症之一,有着较高的死亡率,精准分割肝癌区域是辅助诊断治疗的重要前提。然而肝脏CT图像需要专业的医师进行标注,有标签数据较少,获取途径单一。针对分割腹部肝脏CT图像需要大量高质量标签并且较难获取的问题,提出了一种采...肝癌是常见癌症之一,有着较高的死亡率,精准分割肝癌区域是辅助诊断治疗的重要前提。然而肝脏CT图像需要专业的医师进行标注,有标签数据较少,获取途径单一。针对分割腹部肝脏CT图像需要大量高质量标签并且较难获取的问题,提出了一种采用协同训练的半监督学习分割方法。首先,将有标签数据输入3D U-Net和3D Res U-Net进行有监督训练,保存训练得到的两个分割模型,在两个分割模型中分别对无标签数据进行预测;然后,挑选预测的结果,再加入全连接条件随机场处理挑选出的伪标签,细化伪标签的边缘信息,提升伪标签的精确度;最后,加入到训练集中,重复上述步骤直到分割结果的Dice相似系数停止提升时结束训练。实验在LiTS2017 Challenge肝脏数据集上进行测试,结果表明,在有标签数据集占总数据集的30%时,该方法的Dice值达到90.22%,几乎与全监督3D Res U-Net分割结果持平,说明该半监督学习方法是有效的。展开更多
文摘In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given; then the characterization is further used to show that the Hahn-Banach type of extension theorem is still true for continuous module homomorphisms on random semi-normed modules.
基金Project supported by National Natural Science Foundation of China (Grant No. 10571130)
文摘In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.
文摘One of the important problems of stochastic process theory is to define the Laplace transforms for the distribution of semi-markov random processes. With this purpose, we will investigate the semimarkov random processes with positive tendency and negative jump in this article. The first passage of the zero level of the process will be included as a random variable. The Laplace transforms for the distribution of this random variable is defined. The parameters of the distribution will be calculated on the basis of the final results.
文摘This paper is concerned with the existence and upper semi-continuity of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity and multiplicative noise in H<sup>1</sup>(R<sup>n</sup>). First, we study the existence and uniqueness of solutions by a noise arising in a continuous random dynamical system and the asymptotic compactness is established by using uniform tail estimate technique, and then the existence of random attractors for the nonclassical diffusion equation with arbitrary polynomial growth nonlinearity. As a motivation of our results, we prove an existence and upper semi-continuity of random attractors with respect to the nonlinearity that enters the system together with the noise.
文摘提出了一种基于闭合频繁模式的半随机森林数据流分类算法(Semi-Random Forest based on Closed Frequent Pattern,SRFCFP),以解决数据流中噪声和概念漂移问题。SRFCFP利用闭合频繁模式对数据流进行表示,去除冗余信息和噪声,突出数据特征。采用半随机森林建立分类模型,并通过基于时间衰减的模式集更新机制适应数据流的无限性。为了检测概念漂移并及时适应,引入了一种模式集差异性度量方式,用于测量数据分布变化。实验结果表明,在MOA平台下使用真实和合成数据集,SRFCFP在平均精度上超越了相关对比算法,并能有效处理数据流中的概念漂移和噪声问题。
文摘In this paper we study a continuous time random walk in the line with two boundaries [a,b], a < b. The particle can move in any of two directions with different velocities v1 and v2. We consider a special type of boundary which can trap the particle for a random time. We found closed-form expressions for the stationary distribution of the position of the particle not only for the alternating Markov process but also for a broad class of semi-Markov processes.
文摘There are some mathematical models(see Example2.4)and analogous results in standard martingale theorywhich can not be described by the usual fuzzy martingaletheory because of the lack of corresponding semi-orderin the fuzzy number space(E^n,D).In this paper,asuitable semi-order in the fuzzy number space(E^n,D)and the semi-order fuzzy supermartingale and submar-tingale are introduced,the charaterlstics of semi-ordersupermartingales and submartingales,as well as theDood’s stopping theorem for them(the bounded stoppingtimes theorem and the general stopping times theoremfor a class of closable semi-order fuzzy supermartin-gales and submartingales)are established.
文摘In order to evaluate two different schemes' structural dynamic characters, dynamic response analysis of a commercial truck's main chassis frames is carried out. On the basis of correlation study between the tested and calculated modal results, the assembled frames' finite element analysis (FEA) models with sufficient precision are built up. Random response analysis in frequency domain is carried out with these FEA models, RMS values of yon Mises and main principle stresses of these two frames are obtained. It shows that the analysis resuits of the distributing tendency and concrete value ranges are coincident very well with test results. And from the results, it could be concluded that frames of scheme A endures relative better loading conditions and should be adopted as the final scheme.
基金A part of the project supported financially by the National Natural Science Foundation of China
文摘On the basis of Miner's linear cumulative damage theorem, random variables are introduced to evaluate objectively the fatigue damage of a semi-submerged platform structure and a method is presented to analyze the fatigue reliability of the structure in its design life. The reliability of the method is verified through numerical examples and some conclusions are drawn, which have certain guiding and reference value for design and inspection.
文摘肝癌是常见癌症之一,有着较高的死亡率,精准分割肝癌区域是辅助诊断治疗的重要前提。然而肝脏CT图像需要专业的医师进行标注,有标签数据较少,获取途径单一。针对分割腹部肝脏CT图像需要大量高质量标签并且较难获取的问题,提出了一种采用协同训练的半监督学习分割方法。首先,将有标签数据输入3D U-Net和3D Res U-Net进行有监督训练,保存训练得到的两个分割模型,在两个分割模型中分别对无标签数据进行预测;然后,挑选预测的结果,再加入全连接条件随机场处理挑选出的伪标签,细化伪标签的边缘信息,提升伪标签的精确度;最后,加入到训练集中,重复上述步骤直到分割结果的Dice相似系数停止提升时结束训练。实验在LiTS2017 Challenge肝脏数据集上进行测试,结果表明,在有标签数据集占总数据集的30%时,该方法的Dice值达到90.22%,几乎与全监督3D Res U-Net分割结果持平,说明该半监督学习方法是有效的。