Topological probability and connection strength induced activity in complex neural networks

Recent experimental evidence suggests that some brain activities can be assigned to small-world networks. In this work, we investigate how the topological probability p and connection strength C affect the activities of discrete neural networks with small-world （SW） connections. Network elements are described by two-dimensional map neurons （2DMNs） with the values of parameters at which no activity occurs. It is found that when the value of p is smaller or larger, there are no active neurons in the network, no matter what the value of connection strength is; for a given appropriate connection strength, there is an intermediate range of topological probability where the activity of 2DMN network is induced and enhanced. On the other hand, for a given intermediate topological probability level, there exists an optimal value of connection strength such that the frequency of activity reaches its maximum. The possible mechanism behind the action of topological probability and connection strength is addressed based on the bifurcation method. Furthermore, the effects of noise and transmission delay on the activity of neural network are also studied.

Probability Distribution of Ratio of China Aviation Network Edge Vertices Degree and Its Evolutionary Trace Based on Complex Network

In order to reveal the complex network characteristics and evolution principle of China aviation network, the probability distribution and evolution trace of ratio of China aviation network edge vertices degree were studied based on the statistics data of China civil aviation network in 1988, 1994, 2001, 2008 and 2015. According to the theory and method of complex network, the network system was constructed with the city where the airport was located as the network node and the route between cities as the edge of the network. Based on the statistical data, the ratio of edge vertices degree in China aviation network in 1988, 1994, 2001, 2008 and 2015 were calculated. Using the probability statistical analysis method and regression analysis approach, it was found that the ratio of edge vertices degree had linear probability distribution and the two parameters of the probability distribution had linear evolution trace.

Research on the Applications of Advanced Mathematics on Mathematical Modeling and the Inner Connections with Linear Algebra and Probability Statistics

In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical modeling and solving and model of evaluation and promotion of the two links, put forward the ＂bystander＂ and ＂the authorities＂ this two characters, and points out that excellent mathematical modeling participants should have ＂from a bystander to the authorities＂ and ＂from the authorities to return to bystanders＂ two-way role transformation ability. Great situation in mathematics teaching, by means of the mathematical modeling formed in the development of the teachers, as well as the teaching thought, teaching experience and achievements, the onward march of mathematical experiment should be faster than mathematical modeling. Our research provides the new paradigm for the math development which will be meaningful.

Probability Distribution and Their Non-linear Relationship between Node Degree and Clustering Coefficient of Aviation Network of China Based on Complex Network

In order to reveal the complex network feature of aviation network of China,probability distribution of node degree and clustering coefficient of aviation network of China was researched according to statistics data of civil aviation of China.It was verified that node degree had power function probability distribution.Clustering coefficient of nodes with exponential function probability distribution was discovered.It was found that node degree and clustering coefficient had single peak nonlinear relationship.At the left side of the peak,there is no certain relationship between them.At the right side of the peak,clustering coefficient became smaller with the rise of node degree and there was negative exponential function relationship between them by regression analysis.

Probability Distribution of China Aviation Network Nearest Neighbor Average Degree and Its Evolutionary Trace Based on Complex Network

In order to reveal the complex network characteristics and evolution principle of China aviation network,the probability distribution and evolution trace of node nearest neighbor average degree of China aviation network were studied based on the statistics data of China civil aviation network in 1988,1994,2001,2008 and 2015.According to the theory and method of complex network,the network system was constructed with the city where the airport was located as the network node and the route between cities as the edge of the network.Based on the statistical data,the nearest neighbor average degrees of nodes in China aviation network in 1988,1994,2001,2008 and 2015 were calculated.Using the probability statistical analysis method,it was found that the nearest neighbor average degree had the probability distribution of normal function and the position parameters and scale parameters of the probability distribution had linear evolution trace.

Adaptive Local Outlier Probability for Dynamic Process Monitoring

Complex industrial processes often have multiple operating modes and present time-varying behavior. The data in one mode may follow specific Gaussian or non-Gaussian distributions. In this paper, a numerically efficient movingwindow local outlier probability algorithm is proposed, lies key feature is the capability to handle complex data distributions and incursive operating condition changes including slow dynamic variations and instant mode shifts. First, a two-step adaption approach is introduced and some designed updating rules are applied to keep the monitoring model up-to-date. Then, a semi-supervised monitoring strategy is developed with an updating switch rule to deal with mode changes. Based on local probability models, the algorithm has a superior ability in detecting faulty conditions and fast adapting to slow variations and new operating modes. Finally, the utility of the proposed method is demonstrated with a numerical example and a non-isothermal continuous stirred tank reactor.

Numerical Analyses of Idealized Total Cavopulmonary Connection Physiologies with Single and Bilateral Superior Vena Cava Assisted by an Axial Blood Pump

Our study evaluated the hemodynamic performance of an axial flow blood pump surgically implanted in idealized total cavopulmonary connection(TCPC)models.This blood pump was designed to augment pressure from the inferior vena cava(IVC)to the pulmonary circulation.Two Fontan procedures with single and bilateral superior vena cava(SVC)were compared to fit the mechanical supported TCPC physiologies.Computational fluid dynamics(CFD)analyses of two Pump-TCPC models were performed in the analyses.Pressure-flow characteristics,energy efficiency,fluid streamlines,hemolysis and thrombosis analyses were implemented.Numerical simulations indicate that the pump produces pressure generations of 1 mm to 24 mm Hg for rotational speeds ranging from 2000 RPM to 5000 RPM and flow rates of 2 LPM to 4 LPM.Two surgical models incorporated with the pump were found to be insignificant in pressure augmentation and energy boost.The risk assessment of blood trauma and thrombosis generation was evaluated representatively through blood damage index(BDI),particle resident time(PRT)and relative resistant time(RRT).The hemolysis and thrombosis analyses declare the advantage of the pump supported bilateral SVC surgical scheme in balancing flow distribution and reducing the risk of endothelial cell destruction and trauma generation.

The Cox-Aalen Models as Framework for Construction of Bivariate Probability Distributions, Universal Representation

Starting with the Aalen （1989） version of Cox （1972） ＇regression model＇ we show the method for construction of ＂any＂ joint survival function given marginal survival functions. Basically, however, we restrict ourselves to model positive stochastic dependences only with the general assumption that the underlying two marginal random variables are centered on the set of nonnegative real values. With only these assumptions we obtain nice general characterization of bivariate probability distributions that may play similar role as the copula methodology. Examples of reliability and biomedical applications are given.

Numerical Investigation of an Idealized Total Cavopulmonary Connection Physiology Assisted by the Axial Blood Pump With and Without Diffuser

In order to improve the surgical treatment of the congenital heart disease patient with single ventricle defect,two axial flow blood pumps,one with diffuser and the other without diffuser,were designed and virtually implanted into an idealized total cavopulmonary connection(TCPC)model to form two types of Pump-TCPC physiological structure.Computational fluid dynamics(CFD)simulationswere performed to analyze the variations of the hemodynamic characteristics,such as flow field,wall shear stress(WSS),oscillatory shear index(OSI),relative residence time(RRT),between the two Pump-TCPC models.Numerical results indicate that the Pump-TCPC with diffuser has better flow field stability,less damage on endothelial cell of vessel wall,and lower risk of vascular injury and thrombosis formation than that without diffuser.

Improvement of Bending Strength of Carbon Fiber/Thermoplastic Epoxy Composites <br/>—Effects of Molecular Weight of Epoxy on Carbon Fiber/Matrix Interfacial Strength and Connection of Cracks in Matrix

The bending strength of carbon?fiber/thermoplastic epoxy composites?(CF/TP-EP Compo.)?had?bi-linear increasewith increase of weight-average molecular weight (Mw) of matrix. The transition in the bending strength appeared at around 55k of Mw (“k”?means 103). SEM observation of fractured surface of CF/TP-EP Compo. showed that the fracture mode changed from interfacial failure to fiber breakage dominated failure. The smooth surface of carbon fibers appeared at lower Mw than 55k while some resin remained on the fibers indicating good adhesion between carbon fiber and matrix at higher Mw than 55k. The interfacial shear strength between carbon fiber and matrix bi-linearly increased with an increase of Mw similarly to the bending strength of the composite, measured by the micro droplet test. The dynamic loss tanδ?of the matrix measured at 2?Hz also showed a bi-linear relationship with respect to Mw having a knee point at Mw = 55k. The connection probability of two cracks introduced on?each side of specimens also confirmed that the interfacial strength between carbon fiber and matrix is the key for the mechanical performance of CF/TP-EP Compo. in bending.

考虑停运概率熵和网架结构熵的电网关键线路辨识方法

线路停运概率对连锁故障的触发和演化具有重要影响。然而,现有关于电网线路停运概率分布均衡性的研究存在考虑不足的问题。文中结合复杂网络理论分析方法与熵理论,提出综合考虑停运概率熵和网架结构熵的电网关键线路辨识方法,旨在量化线路在电网运行状态和网络状态层面的综合影响力。首先,基于线路停运概率模型,提出了停运概率分布熵与停运概率变化熵指标,区分了线路潮流在正常值范围内、正常值与极限值之间和大于极限值3个状态对辨识结果的影响,克服了现有指标中对直接影响线路故障因素考虑欠缺的不足。其次,结合改进网架结构熵,提出了反映电网网架结构和运行状态的关键线路综合指标。然后,结合功率平衡策略,提出电网关键线路辨识方法。最后,基于改进网络效能指标对IEEE 39节点系统和IEEE 118节点系统进行仿真,验证了所提方法的可行性和正确性。

On Connectivity of Flying Ad Hoc Networks in the Presence of Ground Terminal

The Unmanned Aerial Vehicle(UAV)technologies are envisioned to play an important role in the era of Air-Space-Ground integrated networks.In this paper,we investigate the connectivity of a Flying Ad hoc Network(FANET)in the presence of a groundbased terminal.In particular,the connected probability of the UAV-to-UAV (U2U) link as well as that of the UAV-to-Ground (U2G) link in a three dimensional (3D) space are analyzed.Furthermore,to mitigate the aggregate interference from UAV individuals,a priority based power control scheme is implemented for enhancing the connectivity of both U2U and U2G links.Numerical results illustrate the effectiveness of the proposed analysis.

Survivability evaluation for networks carrying complex traffic flows

The capability of a system to fulfill its mission promptly in the presence of attacks,failures,or accidents is one of the qualitative definitions of survivability.In this paper,we propose a model for survivability quantification,which is acceptable for networks carrying complex traffic flows.Complex network traffic is considered as general multi-rate,heterogeneous traffic,where the individual bandwidth demands may aggregate in complex,nonlinear ways.Blocking probability is the chosen measure for survivability analysis.We study an arbitrary topology and some other known topologies for the network.Independent and dependent failure scenarios as well as deterministic and random traffic models are investigated.Finally,we provide survivability evaluation results for different network configurations.The results show that by using about 50%of the link capacity in networks with a relatively high number of links,the blocking probability remains near zero in the case of a limited number of failures.

A Complex Algorithm for Solving a Kind of Stochastic Programming

Considering that the probability distribution of random variables in stochastic programming usually has incomplete information due to a perfect sample data in many real applications, this paper discusses a class of two-stage stochastic programming problems modeling with maximum minimum expectation compensation criterion (MaxEMin) under the probability distribution having linear partial information (LPI). In view of the nondifferentiability of this kind of stochastic programming modeling, an improved complex algorithm is designed and analyzed. This algorithm can effectively solve the nondifferentiable stochastic programming problem under LPI through the variable polyhedron iteration. The calculation and discussion of numerical examples show the effectiveness of the proposed algorithm.

考虑地震动空间变化的区域公路网连通可靠性研究

区域公路网是社会交通大动脉和地震灾害救援生命线,连通可靠性反映了地震灾害发生后公路网的通行能力,地震动受震源位置及震中距的影响而具有显著的空间变化,对公路网的震后破坏状态具有重要影响。以邯郸地区公路网为研究对象,通过设定震源位置与震级,研究地震动空间变化影响下的区域公路网连通可靠性。首先,设定邯郸市1830年磁县大地震及一个虚拟地震为地震情景,分别设置震级为M6.0、6.5、7.0和7.5,基于地震动衰减关系表达地震动空间变化,得到公路单元对应的PGA。然后,结合地震易损性模型分析公路单元震后通行概率。最后,针对区域公路网空间范围大的典型特征,优化城市道路所用的最大可能状态算法,对邯郸地区公路网进行连通可靠性评估。结果表明,区域尺度下公路网络单元和节点数量多、空间展布复杂,其抗震连通可靠性与既有公路分布、区域城市位置等因素密切相关,地震动空间变化显著影响公路单元的震后破坏状态和通行概率,研究成果可为区域尺度公路网地震灾害评估及抗震韧性研究提供参考。

基于改进FPPN的飞控系统故障传播路径分析方法

针对飞控系统多冗余、多闭环的结构特性,结合有向图模型和模糊Petri网(FPN)模型,构建飞控系统故障传播模糊概率Petri网(FPPN)模型,以解决飞控系统特定结构下的故障传播路径问题。改进的FPPN模型包含飞控系统有向图模型、故障传播特性量化计算模型和故障传播FPPN模型3个部分。采用面向对象技术分析飞控系统的功能行为和物理结构,综合复杂网络理论,构建系统故障传播有向图模型;引入Floyd算法,开展系统耦合关联分析,基于节点的度和边介数定义系统故障传播特性;在有向图模型的基础上,提出相应的结构映射规则,构建飞控系统故障传播FPPN模型,融合改进后的参数量化方法,设定2种推理算法对系统多冗余、闭环结构特性下的故障传播路径进行有效分析。通过数值分析与实例验证,获取飞控系统典型故障传播路径及路径上相关节点的状态值,验证所提方法的有效性。

基于三支决策和联系数的SFEP传递概率计算方法研究

为研究系统故障演化过程(System Fault Evolution Process,SFEP)中原因事件导致结果事件的传递概率,提出了一种基于三支决策和联系数的传递概率计算方法。根据三支决策思想将原因事件和结果事件划分为发生、不确定和不发生3种状态,将措施方案的作用划分为发生、不确定和不发生3种倾向;以联系数同异反分项系数分别代表上述3种状态和倾向,最终定量计算了传递概率范围。研究认为传递概率取决于原因事件的3种状态比例和措施方案的3种倾向比例。利用联系数的同异反分项系数分别描述了状态和倾向比例。总结了原因事件到结果事件状态的演化关系,形成了演化关系表。得到了导致结果事件3种状态的传递概率。以事件发生为目标,传递概率的最小值为导致结果事件发生的概率,最大值为前者加上不确定的概率。方法克服了原有传递概率计算面临的问题,其结果与实际情况相符。

基于联系云和改进冲突证据融合算法的泥石流易发性评价

泥石流作为一种常见的地质灾害,其形成机制复杂,影响指标众多且呈现多重不确定性,为综合考虑多种影响因素协同作用,基于信息融合和不确定性分析理论,提出一种基于证据理论和云模型的泥石流易发评价方法。首先,应用联系云模型(CCM)计算泥石流易发性关键评价指标的基本概率分配函数(BPA);然后,引入兰氏距离和邓氏熵,分别修正指标BPA的可信度和不确定度,得到修正后的BPA;最后,基于D-S证据理论对修正BPA进行证据融合,实现泥石流易发性评价,并进行实例验证。结果表明:所采用的CCM能够克服正态云模型计算BPA时要求指标为正态分布的缺陷,并考虑的指标分布的随机性和不确定性;提出的方法与其他4种常用的证据融合方法评价结果基本吻合,用于泥石流易发性评价有效可行;基于兰氏距离和邓氏熵改进的冲突证据融合算法可提高证据融合的收敛速度和精度,并且结果更准确可靠。

Research of the multi-way connectivity probability for platoon-based vehicle-to-infrastructure communication network

Vehicles travelling as platoons can reduce the huge traffic jams on the highway. Platoon members can share vehicle information such as speed and acceleration via vehicular ad hoc networks （VANETs） communication to maintain a constant inter-vehicle and inter-platoon distances. However, connectivity is a fundamental measurement to indicate the linking quality of VANETs. This paper analyzes the access and connectivity probability between the vehicles and the road side units （RSUs） of the multi-way platoon-based VANETs with roadside infrastructure. We denote the connectivity probability as the probability that the vehicles on the highway can access to at least one RSU besides the road within a designated number of hops. Moreover, besides considering the connection on the same road, we study the connection between the vehicles and the RSU via vehicles on the nearby neighbor roads. The analytical results have been validated by simulations and results show that the connectivity probability can be improved when there are platoons in a network. Meanwhile, the connectivity probability is higher in the multi-way vehicle-to-infrastructure （V2I） communication network than that in a one-way V2I communication network. The results in this paper can help to reduce the jams on the highway and achieve intelligent driving. Then the safety and comfort of the drivers and passengers on the highway can be improved. Moreover, these results can provide forceful theoretical support to the future intelligent transportation system （ITS） design.

基于解码转发CR-NOMA协同系统物理层安全性能分析

分析了认知无线电(Cognitive Radio,CR)非正交多址(Non-orthogonal Multiple Access,NOMA)网络中的物理层安全性能。考虑到现有窃听者,支持NOMA的CR通过Nakagami-m信道以解码转发协作模式传输数据。为了分析CR-NOMA物理层安全性能,通过连接中断概率和安全中断概率的闭式表达式来评估CR-NOMA的安全性能。此外,通过蒙特卡罗模拟仿真以验证推导出的分析结果,并深入分析了参数对系统性能的影响。