基于GPU的大状态密码S盒差分性质评估方法

大状态的密码S盒能够为对称密码算法提供更好的混淆性,但对大状态S盒的性质评估开销巨大。为高效评估大状态密码S盒的差分性质,提出基于GPU并行计算的大状态密码S盒差分性质评估方法。该方法基于现有的差分均匀度计算方法,针对16比特S盒的差分均匀度和32比特S盒的差分性质,分别设计GPU并行方案,通过优化GPU并行粒度和负载均衡提高了核函数和GPU的执行效率,并缩短了计算时间。测试结果表明,相较于CPU方法和GPU并行方法,所提方法大幅降低了大状态S盒差分性质评估的计算时间,提高了对大状态S盒差分性质的评估效率:对16比特S盒差分均匀度的计算时间为0.3 min;对32比特S盒的单个输入差分的最大输出差分概率计算时间约5 min,对它的差分性质计算时间约2.6 h。

广义概率密度演化方程的Chebyshev拟谱法

概率密度演化方法(probability density evolution equation,PDEM)为非线性随机结构的动力响应分析提供了新的途径.通过PDEM获得结构响应概率密度函数(probability density function,PDF)的关键步骤是求解广义概率密度演化方程(generalized probability density evolution equation,GDEE).对于GDEE的求解通常采用有限差分法,然而,由于GDEE是初始条件间断的变系数一阶双曲偏微分方程,通过有限差分法求解GDEE可能会面临网格敏感性问题、数值色散和数值耗散现象.文章从全局逼近的角度出发,基于Chebyshev拟谱法为GDEE构造了全局插值格式,解决了数值色散、数值耗散以及网格敏感性问题.考虑GDEE的系数在每个时间步长均为常数,推导了GDEE在每一个时间步长内时域上的序列矩阵指数解.由于序列矩阵指数解形式上是解析的,从而很好地克服了数值稳定性问题.两个数值算例表明,通过Chebyshev拟谱法结合时域的序列矩阵指数解求解GDEE得到的结果与精确解以及Monte Carlo模拟的结果非常吻合,且数值耗散和数值色散现象几乎可以忽略.此外,拟谱法具有高效的收敛性且序列矩阵指数解不受CFL (Courant-Friedrichs-Lewy)条件的限制,因此该方法具有良好的数值稳定性和计算效率.

基于改进D-S证据理论选择性集成的边坡稳定性评价

针对边坡稳定性预测算法选择困难和单个模型误判风险大的问题,建立了基于改进D-S证据理论选择性集成的边坡稳定性评价方法,为边坡稳定性初步评价提供方法依据。基于边坡稳定性主要影响因素,通过极限平衡法构建了大型边坡稳定性评价数据集。引入基于边界距离最小化的基学习器选择技术,提升选择性集成模型的泛化能力。提出了改进D-S证据理论融合基学习器信息,降低了选择性集成模型决策过程中的不确定性和模糊性,解决了现有边坡稳定性评价模型易误判和结果非一致性问题。仿真试验结果表明:改进D-S证据理论选择性集成方法无需复杂的数值建模与计算迭代过程,可直接客观地评判边坡稳定性状态,并从信息论角度给出边坡失稳概率。对比传统机器学习方法,该方法有效提高了边坡稳定性的预测准确率,同时降低了预测结果的不确定性,实现了速度快、精度高、稳健性好的广域尺度边坡稳定性评价。

基于T-S动态故障树的桁架机器人系统可靠性分析

为了提高桁架机器人系统的动态可靠性,并且在发生故障时提升排查故障的效率,提出一种对桁架机器人系统动态可靠性分析的方法。首先,对桁架机器人系统建立T-S动态故障树;然后,把T-S动态故障树和T-S动态门规则分别转化为离散时间贝叶斯网络(DTBN)与相应网络节点的条件概率表,根据DTBN正反向推理分别计算得到各时间段以及任务时间内系统失效概率和根节点后验概率,并获得各根节点的T-S概率重要度、T-S关键重要度和灵敏度;最后,应用Monte Carlo仿真法进行验证,结果显示相对误差为0.29%,证明所提方法可行。给出当系统发生故障时应优先排查的零部件,并确定了系统薄弱环节,得出应优先提高可靠度的零部件,为桁架机器人系统的动态可靠性分析提供了理论依据。

Probability-consistent spectrum and code spectrum

In the seismic safety evaluation (SSE) for key projects, the probability-consistent spectrum (PCS), usually obtained from probabilistic seismic hazard analysis (PSHA), is not consistent with the design response spectrum given by Code for Seismic Design of Buildings (GB50011-2001). Sometimes, there may be a remarkable difference be-tween them. If the PCS is lower than the corresponding code design response spectrum (CDS), the seismic fortifi-cation criterion for the key projects would be lower than that for the general industry and civil buildings. In the paper, the relation between PCS and CDS is discussed by using the ideal simple potential seismic source. The re-sults show that in the most areas influenced mainly by the potential sources of the epicentral earthquakes and the regional earthquakes, PCS is generally lower than CDS in the long periods. We point out that the long-period re-sponse spectra of the code should be further studied and combined with the probability method of seismic zoning as much as possible. Because of the uncertainties in SSE, it should be prudent to use the long-period response spectra given by SSE for key projects when they are lower than CDS.

基于非概率理论的引信MEMS安全与解除隔离装置闭锁机构可靠性评估

针对引信MEMS安全与解除隔离装置样本数量少、结构不确定、参数精确的统计规律难以获得、概率可靠性分析方法在小样本条件下不适用等问题,提出一种基于非概率理论的小样本条件下MEMS安解装置闭锁机构可靠性评估方法。该方法以非概率理论为基础,结合薄板弯曲理论建立MEMS安解装置闭锁机构的可靠性模型,得出其可靠性指标,然后进行区间变量的敏感性分析。对样本进行离心实验,模拟炮弹发射时离心环境,实验结果表明,MEMS安全与解除隔离装置闭锁机构具有很高的闭锁可靠性。实验结果与非概率理论分析结果保持一致,验证了非概率理论在引信MEMS安全与解除隔离装置可靠性评估上的有效性。

Brownian Motion of Decaying Particles: Transition Probability, Computer Simulation, and First-Passage Times

Recent developments in the measurement of radioactive gases in passive diffusion motivate the analysis of Brownian motion of decaying particles, a subject that has received little previous attention. This paper reports the derivation and solution of equations comparable to the Fokker-Planck and Langevin equations for one-dimensional diffusion and decay of unstable particles. In marked contrast to the case of stable particles, the two equations are not equivalent, but provide different information regarding the same stochastic process. The differences arise because Brownian motion with particle decay is not a continuous process. The discontinuity is readily apparent in the computer-simulated trajectories of the Langevin equation that incorporate both a Wiener process for displacement fluctuations and a Bernoulli process for random decay. This paper also reports the derivation of the mean time of first passage of the decaying particle to absorbing boundaries. Here, too, particle decay can lead to an outcome markedly different from that for stable particles. In particular, the first-passage time of the decaying particle is always finite, whereas the time for a stable particle to reach a single absorbing boundary is theoretically infinite due to the heavy tail of the inverse Gaussian density. The methodology developed in this paper should prove useful in the investigation of radioactive gases, aerosols of radioactive atoms, dust particles to which adhere radioactive ions, as well as diffusing gases and liquids of unstable molecules.

Fuzzy Logic in the Quantum Mechanical Worldview;Related to Zadeh, Wittgenstein, Moore, Saussure, Quine, Lewis Carroll, etc.

Recently we proposed the linguistic Copenhagen interpretation of quantum mechanics, which is called quantum language or measurement theory. This theory is valid for both quantum and classical systems. Thus we think that quantum language is one of the most powerful scientific theories, like statistics. In this paper we justify Zadeh’s fuzzy sets theory in quantum language, that is, fuzzy propositions are identified with binary measurements. This implies that the definition of “proposition” is, for the first time, acquired in the field of non-mathematics. Further, we assert that fuzzy logic is more natural than crisp logic in science. And furthermore, we discuss and solve Saussure’s linguistics, Moore’s paradox, Quine’s analytic-synthetic distinction and Lewis Carroll’s logical paradox. Therefore, from the philosophical point of view, our result gives a complete answer to Wittgenstein’s problem: “Why does logic work in our world?” and “What is a scientific proposition?” in his picture theory. That is, we simultaneously justify both Zadeh’s fuzzy sets and Wittgenstein’s picture theory in the quantum mechanical worldview.

Probability forecast of earthquake magnitude in Chinese mainland before A．D． 2005

A probability forecast method of earthquake magnitude, based on the earthquake frequency magnitude relation and the model of Bernoulli′s random independent trial, is applied to the earthquake risk assessment of seismic zones in China's Mainland before A.D.2005 in the paper. The forecasting results indicate that the probabilities of earthquake occurrence with magnitude 5 in seismic zones before 2005 are estimated to be over 0.7 in common and 0.8 in most zones; and from 0.5 to 0.7 with M =6; the maximum probability of earthquake occurrence with magnitude 7 is estimated at 0.858, which is also expected in Shanxi seismic zone. In west China's Mainland, earthquakes with magnitude 6 are expected to occur in most seismic zones with high probability (over 0.9 in general) ; the relatively high probabilities of earthquake occurrence (more than 0.7) with magnitude 7 are expected in the seismic zones surrounding the Qinghai Tibet plateau and south Tianshan seismic zone. A discussion about the result confidence and the relationship between the estimated probability and the possible annual rate of earthquake occurrence is made in the last part of the paper.

Improved data analysis method of single-molecule experiments based on probability optimization

To extract the dynamic parameters from single molecule manipulation experiments, usually lots of data at different forces need to be recorded. But the measuring time of a single molecule is limited due to breakage of the tether or degradation of the molecule. Here we propose a data analysis method based on probability maximizalion of the recorded time trace to extract the dynamic parameters from a single measurement. The feasibility of this method was verified by dealing with the simulation data of a two-state system. We also applied this method to estimate the parameters of DNA hairpin folding and unfolding dynamics measured by a magnetic tweezers experiment.

LAPLACE TRANSFORM OF THE SURVIVAL PROBABILITY UNDER SPARRE ANDERSEN MODEL

In this paper a class of risk processes in which claims occur as a renewal process is studied. A clear expression for Laplace transform of the survival probability is well given when the claim amount distribution is Erlang distribution or mixed Erlang distribution. The expressions for moments of the time to ruin with the model above are given.

An Approach to Resolving Two Paradoxes in Probability Theory

A new mathematical expectation formula with some hypotheses, notions and propositions was given to get rid of the challenge of St. Petersburg paradox and Pascal's wager. Relevant results show that it is very effective to apply the model to solve the expected revenue problems containing random events with low proba-bility but high revenue. This work also provides the probability theory with a more widely applied perspective in group decision-making.

Optimum Probability Distribution for Minimum Redundancy of Source Coding

In the present communication, we have obtained the optimum probability distribution with which the messages should be delivered so that the average redundancy of the source is minimized. Here, we have taken the case of various generalized mean codeword lengths. Moreover, the upper bound to these codeword lengths has been found for the case of Huffman encoding.

Detection Probability Analysis of Space-Based AIS Signal by Using Geometrical Model

To analyze the detection probability of shipbome AIS （automatic identification system） signal from space, a mathematical model dependent upon three factors of message collision avoidance, power of signal received by satellite and interference ratio of signal received is presented in the paper. The altitude and footprint area of the AIS satellite are discussed to overcome the collision of messages transmitted in the different time slots fxom different SOTDMA （self organizing time division multiple access） cell areas, but arrive at the same time slot due to the different signal path lengths. The simulated result shows that compared to the normal LEO （low ear~ orbit） satellite system, on average the maximum signal coverage area and the maximum FOV （field of view） of the AIS satellite system are reduced by 74% and 38%. The majority of power of signal transmitted fi＇om shipborne 12W-power AIS transmitters located within the maximum signal coverage area may be received with the sufficient margin of power of signal by the LEO satellite, but the space-based AIS system generally suffers from the insufficient CIR （carrier to co-channel interference ratio） of signal received since around 95% pairs of message simultaneously received by satellites may not be correctly decoded. The insufficient CIR of signal received is the bottleneck for the high message detection probability. Therefore, the measure of separating the collision messages should be further taken by the space-based AIS system to increase the detection probability.

Investigation of Probability Generating Function in an Interdependent <i>M/M/</i>1:(∞;GD) Queueing Model with Controllable Arrival Rates Using Rouche’s Theorem

Present paper deals a M/M/1:(∞;GD) queueing model with interdependent controllable arrival and service rates where- in customers arrive in the system according to poisson distribution with two different arrivals rates-slower and faster as per controllable arrival policy. Keeping in view the general trend of interdependent arrival and service processes, it is presumed that random variables of arrival and service processes follow a bivariate poisson distribution and the server provides his services under general discipline of service rule in an infinitely large waiting space. In this paper, our central attention is to explore the probability generating functions using Rouche’s theorem in both cases of slower and faster arrival rates of the queueing model taken into consideration;which may be helpful for mathematicians and researchers for establishing significant performance measures of the model. Moreover, for the purpose of high-lighting the application aspect of our investigated result, very recently Maurya [1] has derived successfully the expected busy periods of the server in both cases of slower and faster arrival rates, which have also been presented by the end of this paper.

概率融合的抗侧翻智能主动悬架控制研究

为了提升高质心车辆的侧倾稳定性和平顺性,降低车辆侧翻事故造成的伤亡率,提出一种基于概率融合隶属度函数构建理论的侧翻工况预测和控制方法。首先,通过采集车辆侧翻工况数据,选取车辆状态变量,基于影响权重确定与车辆侧翻相关的关键影响因子。其次,根据时间序列对数据进行时间片段划分,设计动态贝叶斯预测网络,对下一时间片段内车辆侧翻概率进行预测。最后,根据车辆性能参数与控制器参数的映射规则,建立概率融合的Takagi-Sugeno(T-S)模糊隶属度函数,设计车辆主动悬架抗侧翻鲁棒控制器。CARSIM/Simulink联合仿真结果表明,与被动悬架、半主动悬架、多目标控制主动悬架相比,所提方法可以平稳且高效地防止车辆侧翻,提升车辆行驶的安全性。

基于时—空ETAS模型的四川泸定地区背景及触发地震活动特征分析

1研究背景。2022年9月5日12点52分在四川泸定县发生M_(S)6.8地震,震源深度16 km。通过针对此次地震的科学考察工作,对此次地震的发震构造和未来趋势进行了研判,根据震源机制解及余震分布等特征,认为此次地震的发震断层为鲜水河断裂南端的磨西段,属于全新世活动断裂,该位置处于鲜水河断裂与安宁河断裂、大凉山断裂和龙门山断裂交会部位,构造背景。较为复杂,水平滑动速率为5—10 mm/a。

Why Bell’s EPRBA Experiment Is Meaningless

We demonstrate that a Bell type of experiment asks the impossible of a Kolmogorovian correlation. An Einstein locality explanation in Bell’s format is therefore excluded beforehand by way of the experimental and statistical method followed.

基于多元线路特征因素融合的电压暂降严重程度评估

现有电压暂降严重程度评估方法未充分考虑多元线路特征因素对输电线路故障概率的影响,评估结果存在较大误差。由此,文中提出了基于多元线路特征因素融合的电压暂降严重程度评估方法。首先,基于线路历史故障数据,采用关联规则量化多元线路特征因素对线路故障的影响程度进行研究。然后,通过改进D-S证据理论融合多元线路特征因素建立准确的线路年故障概率模型,并采用基于最大熵模型的故障点法评估节点的电压暂降量。最后,提出了一种同时考虑系统侧电压暂降严重程度和用户敏感设备耐受特性的综合电压暂降严重程度指标,用于评估节点电压暂降严重程度。基于实际电能质量监测数据进行验证,并与未充分考虑线路特征因素的评估案例进行比较,结果表明所提方法能有效提升电压暂降严重程度评估的准确性。

D-S证据理论中的基本概率赋值转换概率方法研究

D-S证据理论的基本概率赋值(BPA)能够有效地表示和处理不确定信息,在不确定信息处理中得到了越来越多的应用。但是如何基于BPA做出决策依然是一个有待解决的问题,将BPA转化为概率函数进行决策是一个简单可行的方法。文章基于证据理论中命题的信度函数和似真函数提供的信息,提出了一种新的基本概率赋值转换概率方法,该方法相比于现有经典TBM模型中Pignistic概率转换和基于似真函数的转换,可以更有效地利用系统已知的信息,实现基本概率赋值到概率分布的合理转换。算例表明了所提出方法的有效性。