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Through above study, the theoretical analysis of the inherent fault tolerance of feed-forward neural networks has been extended from hard-limit activation functions to differentiable activation functions; 2. By using above method, fault tolerance of discrete Hopfield feedback neural networks have been also analyzed. It means that the above method can be applied not only for feed-forward neural networks but also for feedback neural networks; 3. For the feed-forward neural network with the Sigmoid activation function, Chebyshev Inequality method was presented.

这项研究将以前仅限于对硬限幅作用函数前向神经网络固有容错性能的理论分析推广到具有可微作用函数的前向神经网络; 2 针对离散型Hopfield反馈神经网络,利用上面提出的方法,对其同样进行了容错性分析,得出许多有用的结论和计算公式,说明上面提出的方法不仅适用于前向神经网络,同时也适用于反馈神经网络; 3 针对具有Sigmoid作用函数的前向神经网络提出了一种切比雪夫不等式法。

Moreover, with its help people can also evaluate the fault-tolerant performance of ANN. In this paper, Chebyshev Inequality method, as a kind of evaluating thought, was firstly concerned in the faulttolerance analysis of ANN; 4. The variation of faulty behaviors of ANNs during the course of learning was studied by taking the discrete Hopfield neural network and Hebb learning algorithm as examples.

这种方法首次将切比雪夫不等式引入人工神经网络容错性分析当中,从而提出了对人工神经网络容错性分析采用估算的思想; 4 以离散型Hopfield神经网络和Hebb学习算法为例,着重研究了在学习过程中人工神经网络故障性能的变化。

In this paper a new method named Circle Diagram Analysis is presented which could be used as a practical analytical tool between DFT and FFT, and makes the above mentioned analyses more concise.

本文提出的圆图分析法可作为离散型富氏变换与快速富氏变换之间的一个实用分析工具,且分析简明扼要。

In the fifth and the sixth chapter, a class of interval BAM neural networks withmixed delays under uncertainty and a class of stochastic interval BAM neural networkswith mixed delays are introduced and studied, which include many well-known neuralnetworks as special cases.

第五章和第六章分别介绍了一类具有不确定性的带混合时滞的区间BAM神经网络和一类带混合时滞的区间随机BAM神经网络,这里混合时滞意味着同时出现离散和分布时滞。

Considering that the classical rough set theory can only process the discrete data, the degree of general importance of an attribute and attribute subsets was presented. And then a generalization rough set theory was proposed based on the general near neighborhood relation.

针对经典粗糙集理论仅能处理离散化数据的局限性,提出属性和属性子集的广义重要度的概念以及空间中的广义近邻关系,并提出了广义近邻关系下的广义粗糙集扩展模型。

Firstly , using the conditional independence test built the Bayesian network structure , and desensitizes remote sensing data of study area . Secondly , applying Bayesian network theorem as classification principle classifies every single pixel to a pixel of maximum probability sort .

采用贝叶斯网络分类对具有典型干旱特征的库车县土壤盐渍化情况进行监测,首先应用条件独立性测试原理建立贝叶斯网络结构,把研究区遥感数据进行离散化,然后应用贝叶斯定理作为分类原则,将每个像元分为像元最大概率的类别。

Some concepts in quantale, such as c-nuclei, r-nuclei, closed map closed filter were introduced and Some properties of these new nuclei are discussed.

幂等左侧Quantale是单纯Quantale当且仅当它是离散一致简单Quantale。二。研究Quantale中的核映射和闭滤子。

Some concepts in quantale,such as c-nuclei,r-nuclei,closed map closed filter were introduced and Some properties of these new nuclei are discussed, we abtain the characterizations of c-nuclei in different quantales and the equivalance between c-nuclei and r-nuclei.

幂等左侧Quantale是单纯Quantale当且仅当它是离散一致简单Quantale。二。研究Quantale中的核映射和闭滤子。引入了c-核映射,r-核映射,闭滤子和闭映射等概念,讨论了它们的一系列性质。

A sufficient condition for quadratic stability of fuzzy closed loop system is given in terms of linear matrix inequalities.

但是对于实际中广泛存在的非线性离散系统的保成本控制问题还没有得到充分的研究。

Moreover, we pointed out some errors in the litterature concerning the closure property of two families of ageing notions and gave a new proof; established probability inequalities for some common used discrete ageing notions, and obtained some comparison results of inspection paradox.

另外,我们指出文献中关于两类寿命分布类卷积封闭性证明的错误,并纠正其错误;建立了常见的离散型寿命分布类对应的概率不等式;给出了检查悖论中的一些随机比较结果。

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