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The paper proposes two new dimension reduction algorithms: The First is On the Expected Distortion Bound of Direct Random Projection. The second is Anchor points based Isometric Embedding under least square error criterion. On the Expected Distortion Bound of Direct Random Projection has a time complexity of O.

本文分别提出了两种新的维数约减算法:(1)基于期望扰动的直接随机映像算法On the Expected Distortion Bound of Direct Random Projection,简称DRP(2基于锚点集的最小平方误差等距嵌入算法(Anchor points based Isometric Embedding under least square error criterion,简称AIE)。

Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

基础科学,数学,概率论、数理统计平稳NA序列;经验测度;大偏差原理;线性过程;泛函型重对数律;强逼近; LPQD序列; m-相依随机元;精确渐近性;随机指标中心极限定理

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数,并利用结构力学的三个基本方程,将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数,使原基于可靠性的优化模型转化为常规的序列线性规划问题,利用修正的单纯形法求解。

The law of large numbers for a class of random walks with resting state on line in random environments.

一类随机环境中可逗留随机游动的一个大数定律。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题,同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计,它们揭示了其水平集的测度与局部时之间的内在关系,刻划了多指标对称稳定过程水平集的分形特征,表明了研究此类问题的积极意义,该问题是随机分形研究领域的国内外学者所关注的热点问题之一;解决了多指标稳定分量过程的局部时存在性与连续性问题,进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题;此外,本研究项目还解决了布朗单样本轨道的重分形分析,即高维白噪音的重分形分析问题。

Good on a random number generator, including normal, lognormal distribution, uniform distribution of many random distribution...

很好用的随机数产生器,包含正态分布,对数正态分布,均匀分布等好多随机分布的随机数产生方法。

Both LDPC codes and OFDM technology are studied in this paper. The working and the results obtained are summarized as follow:1. The definition of LDPC codes and its coding/decoding ideas are systematically summarized, a general algorithm of changing any parity-check matrix to lower triangular form, which is suitable for quick encoding, is given out, along with a girth checking algorithm. Absolutely random LDPC codes construction is improved, a new half random construction of LDPC codes with linear time coding and no 4-cycles is brought out.

系统地阐述了低密度校验码的定义及编译码原理,提出了一种将任何校验矩阵变换成适于快速编码的近似下三角形式的通用算法及一种围长检测算法,对完全随机的校验矩阵构造法进行了改进,提出了一类消除4环且可近似线性编码的校验矩阵半随机构造法,仿真表明,在高编码效率情况下,改进后的半随机构造法,其性能稍优于完全随机构造法,并可以线性时间编码,因此更适合实际应用。

Turing machine, random access machine, primitive recursive, cellular automaton, finite state machine, cell probe model, pointer machine, alternation, alternating Turing machine, nondeterministic Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine, quantum computation, parallel models: multiprocessor model, work-depth model, parallel random-access machine, shared memory.

图灵机,随机存取机,原始递归,元胞自动机,有限状态机,细胞探针模型,指针机,交替轮流进行,图灵机,非确定性图灵机,甲骨文图灵机,概率图灵机,通用图灵机,量子计算,并行型号:多模式,工作深入模型,并行随机存取机,共享内存。

As the connection of marginal distribution function, the Copula function may not only reflect the relativity of random variable, but also may describe the random variable's related pattern well. Therefore we may use the different Copula function to describe the different related pattern.

作为连接随机变量边缘分布到联合分布的函数,Copula函数不仅可以反映出随机变量间的相关程度,而且可以较好地描述随机变量间的相关模式,因此可以用不同的Copula函数来表示不同的相关模式。

Put forward digital watermarking method based on wavelet transform and Markov random field.The method that is proposed in the paper brings Markov random field into digital watermarking technique. Uses MRP to model visual impression of image, obtains allowable distortion of every pixel.

3提出了基于小波变换与马尔可夫随机场的数字水印方法本文将马尔可夫随机场引入到数字水印技术中来,利用其对图像视觉效果建模,求取各象素点的允许失真值。

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推荐网络例句

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。

You can divide them into two categories.

您可以分为两类他们。