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.

這項(xiàng)研究將以前僅限于對(duì)硬限幅作用函數(shù)前向神經(jīng)網(wǎng)絡(luò)固有容錯(cuò)性能的理論分析推廣到具有可微作用函數(shù)的前向神經(jīng)網(wǎng)絡(luò)亚洲综合色图网站； 2 針對(duì)離散型Hopfield反饋神經(jīng)網(wǎng)絡(luò)最新色色来资源网站，利用上面提出的方法日本黄色网站软件，對(duì)其同樣進(jìn)行了容錯(cuò)性分析无码激情免费视在线观看，得出許多有用的結(jié)論和計(jì)算公式18岁以上禁止看的污视频在线观看，說明上面提出的方法不僅適用于前向神經(jīng)網(wǎng)絡(luò)，同時(shí)也適用于反饋神經(jīng)網(wǎng)絡(luò)www干干干操操操； 3 針對(duì)具有Sigmoid作用函數(shù)的前向神經(jīng)網(wǎng)絡(luò)提出了一種切比雪夫不等式法aa视频网站在线。

The famous Chebyshev's Inequality is usually used when estimating the boundary from above or below of probability .

在估計(jì)某些事件的概率的上下界時(shí)，常用到著名的切比雪夫不等式成本人H片动漫网站在线看3D。

And then , the author analyzes its complete and necessary condition for foundation of Chebyshev's Ineuquality. Furthermore, the paper makes a demonstration again for Chebyshev's Inequality with the method of modern probability.

最后給出了切比雪夫不等式其等號(hào)成立的充要條件黄色在线视频平台a，并用現(xiàn)代概率方法重新證明了切比雪夫不等式。

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.

這種方法首次將切比雪夫不等式引入人工神經(jīng)網(wǎng)絡(luò)容錯(cuò)性分析當(dāng)中插入女人下面视频，從而提出了對(duì)人工神經(jīng)網(wǎng)絡(luò)容錯(cuò)性分析采用估算的思想skyandhome.com； 4 以離散型Hopfield神經(jīng)網(wǎng)絡(luò)和Hebb學(xué)習(xí)算法為例中文字幕乱码亚洲无线码三区，著重研究了在學(xué)習(xí)過程中人工神經(jīng)網(wǎng)絡(luò)故障性能的變化。

Second, On the basis of analysis of density distribution of sequence points on the chaotic orbit of one-dimension chaotic mapping, a mutative interval chaotic optimization algorithm is presented in search for the solution optimums of the non-linear constrained problems with multi-variables and multi-peak values. With the objective function probability measurement approaching a limit 1, the convergence of the algorithm on the global optimal solution is proofed by aid of Chebyshev inequality.

二狼友视频网址一网址二、基于一維混沌映射混沌點(diǎn)集的概率測(cè)度分析草逼性爱视频日本女优，提出了一種適于解決多變量多峰值非線性約束問題的新的混沌優(yōu)化算法——變區(qū)間混沌優(yōu)化算法，并應(yīng)用切比雪夫不等式論證了算法依概率收斂于全局最優(yōu)解农村一级强奸少妇大毛片。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推導(dǎo)出多個(gè)外匯期權(quán)的投資組合的二次近擬的矩母函數(shù)表達(dá)式基礎(chǔ)上91免看，本文使用傅里葉變換、切比雪夫不等式56色播影院色播性播影院、數(shù)值轉(zhuǎn)換計(jì)算求出投資組合的VaR的值国产呦系列精品视频，并和基于多元正態(tài)分布Cornish-Fisher模型以及基于Delta-正態(tài)模型計(jì)算所得的VaR值了進(jìn)行比較。

chebyshev function：切比雪夫函數(shù)

圖 chart | 切比雪夫函數(shù) chebyshev function | 切比雪夫不等式 chebyshev inequality

chebyshev inequality：切比雪夫不等式

切比雪夫函數(shù) chebyshev function | 切比雪夫不等式 chebyshev inequality | 切比雪夫多項(xiàng)式 chebyshev polynomial

Chebyshev's inequality：切比雪夫不等式

central limit theorem 中心極限定理 | Chebyshev's inequality 切比雪夫不等式 | classification 分類

chebyshev polynomial：切比雪夫多項(xiàng)式

切比雪夫不等式 chebyshev inequality | 切比雪夫多項(xiàng)式 chebyshev polynomial | 校驗(yàn) check