A sequential sparse polynomial chaos expansion using Bayesian regression for geotechnical reliability estimations     

Qiujing Pan  Xingru Qu  Leilei Liu  Daniel Dias 《国际地质力学数值与分析法杂志》2020,44(6):874-889

Polynomial chaos expansions (PCEs) have been widely employed to estimate failure probabilities in geotechnical engineering. However, PCEs suffer from two deficiencies: (a) PCE coefficients are solved by the least-square minimization method which easily causes overfitting issues; (b) building a high order PCE is often computationally expensive. In order to overcome the aforementioned drawbacks, the Bayesian regression technique is employed to evaluate PCE coefficients, which not only provides a sparse solution but also avoids overfitting. With the aid of the predictive means and variances given by Bayesian analysis, a learning function is proposed to sequentially select the most informative samples that are critical to build a PCE. This sequential learning scheme can highly enhance the computational efficiency of PCEs. Besides, importance sampling (IS) is incorporated into the sequential learning (SL)-PCEs to deal with geotechnical problems with small failure probabilities. The proposed method of SL-PCE-IS is applied to three illustrative examples, which shows that the improved PCE method is more effective and efficient than the common PCEs method, leading to accurate estimations of small failure probabilities using fewer training samples.  相似文献   

储集层测井信号的非线性混沌特性     

聂春燕  王祝文  李泽  崔炳民 《吉林大学学报(地球科学版)》2011,41(1):305-309,315

对测井信号的特征提取采用非线性分析方法。利用非平稳信号分析方法——游程检验法,分析松辽盆地某井储集层测井数据的非平稳特性;在此基础上,采用非线性混沌方法对测井数据进行最大Lyapunov指数提取。结果表明:储集层测井序列具有非平稳特性;最大的Lyapunov指数大于零,表明了储集层测井序列具有混沌特征。为此,储集层测井信息的提取可采用非线性混沌理论方法,以便更有效地描述测井信息特征。  相似文献   

变形系统的混沌化研究     

文鸿雁  王成  袁昌茂  王新桥 《测绘科学》2011,336(6):5-7

变形体变形系统是一个动态的非线性复合系统.变形运动的混沌行为验证主要通过计算系统的Lyapunov指数的正负得出.本文通过对变形系统的动力方程的混沌化研究,验证了当系统为单一连续时间系统时,构造合适的状态矩阵,保证其特征值大于某一参数就能确保变形系统的混沌化,而如果系统是反馈系统,合理选择反馈参数一样能使系统走向混沌.  相似文献   

双混沌映射的土家织锦图案数字加密算法     

李军  向长城 《武汉大学学报(信息科学版)》2011,36(11):1302-1304

结合混沌序列易生成性、对初始条件敏感性、可完全重现性等特点,给出了一种基于混沌映射的土家织锦图案数字加密算法。首先对原始图案进行离散小波变换（DWT）,变换的矩阵奇行与Logistic映射产生的二值序列异或,偶行与Hybrid映射产生的二值序列异或,然后对产生的新矩阵进行DWT逆变换,即得到加密的织锦图案。实验结果表明,本文算法具有较高的安全性和较好的加密效果。  相似文献   

Finite element modeling of heating phenomena of cracks excited by high-intensity ultrasonic pulses     

陈赵江  郑江  张淑仪  米小兵  郑凯 《海洋学报(英文版)》2010,29(11)

A three-dimensional thermo-mechanical coupled finite element model is built up to simulate the phenomena of dynamical contact and frictional heating of crack faces when the plate containing the crack is excited by high-intensity ultrasonic pulses. In the finite element model, the high-power ultrasonic transducer is modeled by using a piezoelectric thermal-analogy method, and the dynamical interaction between both crack faces is modeled using a contact-impact theory. In the simulations, the frictional heating taking place at the crack faces is quantitatively calculated by using finite element thermal-structural coupling analysis, especially, the influences of acoustic chaos to plate vibration and crack heating are calculated and analysed in detail. Meanwhile, the related ultrasonic infrared images are also obtained experimentally, and the theoretical simulation results are in agreement with that of the experiments. The results show that, by using the theoretical method, a good simulation of dynamic interaction and friction heating process of the crack faces under non-chaotic or chaotic sound excitation can be obtained.  相似文献   

周期脉冲撞击的两分量Bose-Einstein凝聚系统的单粒子相干和对纠缠     

严冬  宋立军 《海洋学报》2010,32(10):6832-6836

在周期脉冲撞击的两分量Bose-Einstein凝聚系统中,研究了量子混沌对单粒子相干和对纠缠性质的影响.研究表明,混沌促使单粒子相干发生强烈衰减并保持着较低的相干度,同时对纠缠出现最大值并在较短时间后消失.利用单粒子相干的这种性质可以直接测量量子混沌存在的相空间结构,有利于预防Bose-Einstein凝聚的瓦解和控制凝聚体的混沌行为.  相似文献   

大规模富社团网络的时空混沌同步     

吕翎  邹家蕊  杨明  孟乐  郭丽  柴元 《海洋学报》2010,32(10):6864-6870

以Plankton时空混沌系统作为网络节点,通过非线性耦合构成富社团(rich-club,RC)网络,研究其时空混沌同步规律.首先给出了RC网络中连接节点之间的非线性耦合函数的一般性选取原则.进而基于Lyapunov稳定性定理,理论分析了实现网络同步的条件.最后,通过仿真模拟检验了网络的时空混沌同步效果.仿真研究表明,RC网络中各富节点之间以及这些富节点各自星形连接的子网络中的所有节点均实现了完全同步.  相似文献   

A universal algorithm to generate pseudo-random numbers based on uniform mapping as homeomorphism     

王福来 《海洋学报(英文版)》2010,29(9)

A specific uniform map is constructed as a homeomorphism mapping chaotic time series into [0,1] to obtain sequences of standard uniform distribution. With the uniform map, a chaotic orbit and a sequence orbit obtained are topologically equivalent to each other so the map can preserve the most dynamic properties of chaotic systems such as permutation entropy. Based on the uniform map, a universal algorithm to generate pseudo random numbers is proposed and the pseudo random series is tested to follow the standard 0-1 random distribution both theoretically and experimentally. The algorithm is not complex, which does not impose high requirement on computer hard ware and thus computation speed is fast. The method not only extends the parameter spaces but also avoids the drawback of small function space caused by constraints on chaotic maps used to generate pseudo random numbers. The algorithm can be applied to any chaotic system and can produce pseudo random sequence of high quality, thus can be a good universal pseudo random number generator.  相似文献   

庐山风景区功能演化的混沌特征及其启示   总被引：1，自引：0，他引：1  

琚胜利  陆林 《地理与地理信息科学》2010,26(1)

在构建风景区演化周期、混沌模型的基础上,对庐山风景区功能演化的混沌特征进行了实证研究。庐山风景区主要经历了古代旅游风景名胜区的探索、形成、发展、成熟期和近现代大众旅游的度假、观光、科考旅游地的探索、形成、发展期,其功能演化体现了分形、初始条件与蝴蝶效应、混沌边缘、间歇变换、同步锁模和锁定效应等混沌特征,说明风景区演化是周期和非周期的相对统一。现阶段呈现的旅游消费需求不稳定、景区城市化、行政管理体制不顺、景区发展与社区矛盾等是庐山发展的混沌要素,控制这些混沌要素,有助于促进景区健康发展。  相似文献   

地球磁极倒转的分形混沌研究          下载免费PDF全文

申维  房丛卉  张德会 《地学前缘》2009,16(5):201-206

地球磁场多次发生南北(正负)磁极位置的变换,这已为大家所公认。但造成这种异常现象的原因,则是迄今未能很好解答的一个难题。应用分形混沌理论对地球磁极倒转进行了分析,认为发生地球磁极倒转时间段在时间轴上具有分形分布的性质;地球磁场系统通过不断与外界交换物质和能量,维持一种空间或时间的有序结构。地球磁场极性的随机倒转具有混沌运动的自逆转特性,混沌理论给地磁极性倒转提出了一个简明的动力机制解释。  相似文献