熵测不准关系与光场的熵压缩

用熵作为光场量子涨落的量度,根据熵测不准关系,建立了熵压缩的概念,具体研究了光场与原子相互作用时的熵压缩,结果显示,熵压缩实现了对光场压缩效应的高灵敏量度。     

An Entropic Approach to Estimating the Instability Criterion of People in Floodwaters

People are always susceptible to a loss of stability in urban floodwaters that leads to serious casualties. Thus, the safety criterion for the instability of people in floodwaters must be determined. In this study, the hydrodynamic criterion of the instability of people in floodwaters in terms of the incipient velocity and water depth is derived using the probability method based on Shannon entropy theory. The derived model can characterize variations in the incipient velocity of people in floodwaters with respect to the inundating water depth. Furthermore, a comparison with seven experimental datasets available in the literature shows the validity of the proposed entropy-based model considering data scattering. A sensitivity analysis of the derived model to some of the incorporated parameters was performed, and the qualitative results are in accordance with our understanding of the physical mechanism of the instability of people in floodwaters. Taking the physical parameters (height and mass) of Chinese adults and children as a representative example, this study also showed the vulnerability degree of Chinese adults and children subject to floodwaters. These findings could provide a reference for administrators and stakeholders for flood hazard mitigation and flood strategy management. This study shows that an entropy-based method could be a valuable addition to existing deterministic models for characterizing the instability criterion of people in an urban flooding event.     

A New Validity Index Based on Fuzzy Energy and Fuzzy Entropy Measures in Fuzzy Clustering Problems

Two well-known drawbacks in fuzzy clustering are the requirement of assigning in advance the number of clusters and random initialization of cluster centers. The quality of the final fuzzy clusters depends heavily on the initial choice of the number of clusters and the initialization of the clusters, then, it is necessary to apply a validity index to measure the compactness and the separability of the final clusters and run the clustering algorithm several times. We propose a new fuzzy C-means algorithm in which a validity index based on the concepts of maximum fuzzy energy and minimum fuzzy entropy is applied to initialize the cluster centers and to find the optimal number of clusters and initial cluster centers in order to obtain a good clustering quality, without increasing time consumption. We test our algorithm on UCI (University of California at Irvine) machine learning classification datasets comparing the results with the ones obtained by using well-known validity indices and variations of fuzzy C-means by using optimization algorithms in the initialization phase. The comparison results show that our algorithm represents an optimal trade-off between the quality of clustering and the time consumption.     

基于距离度量和健康指数的电子设备健康评估方法

依据监测参数对系统进行健康评估,可以了解系统在工作过程中的健康状态,并通过预防维修避免系统故障带来的安全隐患。电子设备的健康状态容易受到随机干扰的影响产生虚警从而导致不必要的维修,为此提出一种通过多参数距离度量来构建健康指数从而进 行系统综合健康评估的方法。利用马氏距离对监测的多个系统性能参数时间序列进行降维,基于核函数最优分段间隔估计对数据的直方图分布进行统计,利用加权分数贡献率来构建健康指数。通过电脑的实验与仿真数据进行了验证,给出了单参数异常和多参数同时异常情况下的评估结果。研究表明,该方法不仅能对系统的健康状态进行有效的评估,而且能够降低随机突发干扰产生的虚警。     

Entropic Dynamics on Gibbs Statistical Manifolds

Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles. Here, we develop the entropic dynamics of a system, the state of which is described by a probability distribution. Thus, the dynamics unfolds on a statistical manifold that is automatically endowed by a metric structure provided by information geometry. The curvature of the manifold has a significant influence. We focus our dynamics on the statistical manifold of Gibbs distributions (also known as canonical distributions or the exponential family). The model includes an “entropic” notion of time that is tailored to the system under study; the system is its own clock. As one might expect that entropic time is intrinsically directional; there is a natural arrow of time that is led by entropic considerations. As illustrative examples, we discuss dynamics on a space of Gaussians and the discrete three-state system.     

基于综合高光谱指数的区域土壤盐渍化监测研究

选取新疆塔里木盆地北缘渭干河-库车河三角洲绿洲盐渍化土壤、植被及其光谱反射率为研究对象,对实测土壤、植被高光谱进行包络线、倒数、对数、均方根、一阶微分等各种光谱变换,分析并确定反映盐渍化程度最敏感的波段,结果表明：实测高光谱土壤、植被一阶微分光谱变换对土壤盐渍化响应程度最敏感;基于实测综合光谱指数的盐渍化监测高光谱模型可以准确提取土壤盐渍化信息,明显优于传统遥感方法中单纯利用植被指数或者土壤盐分指数的模型,对土壤盐渍化的高精度遥感监测研究具有较好促进作用。     

Entropic derivation of the spectral Eddington factors

In general, the closure of the finite system of moment equations by the corresponding maximum entropy distribution function results in the symmetric conservative system of first-order partial differential equations for the Lagrange multipliers of the constrained Boltzmann entropy maximization problem. Then the transformation of dependent variables yields the system of conservation equations for the moments which is consistent with the additional conservation equation identified with the balance of entropy. The objective of this paper is to employ these facts for the analysis of the spectral Eddington factors obtained from the maximum entropy distribution functions. The supposition that the spectral Eddington factors should depend on the energy density and the heat flux only through the single variable representing the heat flux normalized in some way by the energy density predominates in the literature on the subject. Here, it is demonstrated that this is true only for classical Maxwell-Boltzmann radiation and, in this case, the well-known results of Minerbo are recovered. A similar single-variable dependence postulated by Cernohorsky and Bludman for fermionic radiation cannot be justified since it leads to the contradiction with the consistency conditions between the moment evolution equations and the entropy balance. For Bose-Einstein radiation, we rederive and analyze the results given in the literature for low-energy and high-energy limits. We also show that, except for those limiting cases, the Eddington factor for bosonic radiation cannot be represented as a function of a single normalized variable. In the present approach, the entropy function plays a crucial role in determining the system of evolution equations for the energy density and the heat flux. In this system, the flux of the heat flux, and hence the Eddington factor, is determined by the additional scalar potential uniquely related to the entropy function for each type of statistics. Since the Eddington factor cannot be expressed in terms of elementary functions, we propose to use the polynomial approximation. Namely, for Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein statistics, we expand the entropy function in powers of the square of the heat flux and also calculate the corresponding power series expansion of the additional potential. By truncating the latter, we obtain the Eddington factor represented as the eighth-order polynomial in the heat flux with coefficients being the elementary functions of the energy density and the parameter which determines statistics. Finally, we analyze the behavior of the scalar Eddington factors in the limiting case when the normalized heat flux tends to one.     

Non-Extensive Statistical Analysis of Acoustic Emissions: The Variability of Entropic Index q during Loading of Brittle Materials Until Fracture

Non-extensive statistical mechanics (NESM), introduced by Tsallis based on the principle of non-additive entropy, is a generalisation of the Boltzmann–Gibbs statistics. NESM has been shown to provide the necessary theoretical and analytical implementation for studying complex systems such as the fracture mechanisms and crack evolution processes that occur in mechanically loaded specimens of brittle materials. In the current work, acoustic emission (AE) data recorded when marble and cement mortar specimens were subjected to three distinct loading protocols until fracture, are discussed in the context of NESM. The NESM analysis showed that the cumulative distribution functions of the AE interevent times (i.e., the time interval between successive AE hits) follow a q-exponential function. For each examined specimen, the corresponding Tsallis entropic q-indices and the parameters β_q and τq were calculated. The entropic index q shows a systematic behaviour strongly related to the various stages of the implemented loading protocols for all the examined specimens. Results seem to support the idea of using the entropic index q as a potential pre-failure indicator for the impending catastrophic fracture of the mechanically loaded specimens.     

熵指数对多重数分布的宽度和形状的依赖性

通过运用蒙特卡罗方法,研究了熵指数对多重数分布的宽度和形状的依赖性,并和NA2?2实验结果作比较.发现,熵指数对多重数分布的形状变化不敏感,但是却随着分布宽度的增加而减小.这一发现和通常基于熵指数的物理意义的期待是矛盾的     

A Two-Parameter Fractional Tsallis Decision Tree

Decision trees are decision support data mining tools that create, as the name suggests, a tree-like model. The classical C4.5 decision tree, based on the Shannon entropy, is a simple algorithm to calculate the gain ratio and then split the attributes based on this entropy measure. Tsallis and Renyi entropies (instead of Shannon) can be employed to generate a decision tree with better results. In practice, the entropic index parameter of these entropies is tuned to outperform the classical decision trees. However, this process is carried out by testing a range of values for a given database, which is time-consuming and unfeasible for massive data. This paper introduces a decision tree based on a two-parameter fractional Tsallis entropy. We propose a constructionist approach to the representation of databases as complex networks that enable us an efficient computation of the parameters of this entropy using the box-covering algorithm and renormalization of the complex network. The experimental results support the conclusion that the two-parameter fractional Tsallis entropy is a more sensitive measure than parametric Renyi, Tsallis, and Gini index precedents for a decision tree classifier.     

An Extended Entropic Model for Cohesive Sediment Flocculation in a Piecewise Varied Shear Environment

In this study, an extended model for describing the temporal evolution of a characteristic floc size of cohesive sediment particles when the flocculation system is subject to a piecewise varied turbulent shear rate was derived by the probability methods based on the Shannon entropy theory following Zhu (2018). This model only contained three important parameters: initial and steady-state values of floc size, and a parameter characterizing the maximum capacity for floc size increase (or decay), and it can be adopted to capture well a monotonic pattern in which floc size increases (or decays) with flocculation time. Comparison with 13 literature experimental data sets regarding floc size variation to a varied shear rate showed the validity of the entropic model with a high correlation coefficient and few errors. Furthermore, for the case of tapered shear flocculation, it was found that there was a power decay of the capacity parameter with the shear rate, which is similar to the dependence of the steady-state floc size on the shear rate. The entropic model was further parameterized by introducing these two empirical relations into it, and the finally obtained model was found to be more sensitive to two empirical coefficients that have been incorporated into the capacity parameter than those in the steady-state floc size. The proposed entropic model could have the potential, as an addition to existing flocculation models, to be coupled into present mature hydrodynamic models to model the cohesive sediment transport in estuarine and coastal regions.     

Econophysics and the Entropic Foundations of Economics

This paper examines relations between econophysics and the law of entropy as foundations of economic phenomena. Ontological entropy, where actual thermodynamic processes are involved in the flow of energy from the Sun through the biosphere and economy, is distinguished from metaphorical entropy, where similar mathematics used for modeling entropy is employed to model economic phenomena. Areas considered include general equilibrium theory, growth theory, business cycles, ecological economics, urban–regional economics, income and wealth distribution, and financial market dynamics. The power-law distributions studied by econophysicists can reflect anti-entropic forces is emphasized to show how entropic and anti-entropic forces can interact to drive economic dynamics, such as in the interaction between business cycles, financial markets, and income distributions.     

An Improved K-Means Algorithm Based on Evidence Distance

The main influencing factors of the clustering effect of the k-means algorithm are the selection of the initial clustering center and the distance measurement between the sample points. The traditional k-mean algorithm uses Euclidean distance to measure the distance between sample points, thus it suffers from low differentiation of attributes between sample points and is prone to local optimal solutions. For this feature, this paper proposes an improved k-means algorithm based on evidence distance. Firstly, the attribute values of sample points are modelled as the basic probability assignment (BPA) of sample points. Then, the traditional Euclidean distance is replaced by the evidence distance for measuring the distance between sample points, and finally k-means clustering is carried out using UCI data. Experimental comparisons are made with the traditional k-means algorithm, the k-means algorithm based on the aggregation distance parameter, and the Gaussian mixture model. The experimental results show that the improved k-means algorithm based on evidence distance proposed in this paper has a better clustering effect and the convergence of the algorithm is also better.     

GF-6 WFV光谱植被指数模型的叶面积指数反演

农业是国家经济发展的基础支柱,同时也是社会发展的基础产业。我国农业遥感技术的进步和发展,大量遥感卫星发射升空,如高分1号、 2号和6号等,为我国农情监测、作物长势、农业产业结构调整提供了重要技术支撑。农业遥感成为农业科技创新和精准农业的重要手段。叶面积指数(LAI)是一种可用来衡量植被冠层生理与生化的关键指标,不仅可以用来评估植被冠层表面的最初能量交换情况,提供相应的结构定量数据,还能反映植被冠层的光谱能量信息。同时,在陆地气候变化情况下,叶面积指数是陆地生态系统和土地利用过程生产力模型的关键输入。此外,研究发现植被冠层受人为活动和气候变化的直接或间接影响时,叶面积指数也是陆地生态系统应对气候变化十分重要的衡量标准。因此,针对GF-6 WFV遥感影像叶面积指数反演研究较少和传统光谱植被指数模型机理性、稳定性较弱的问题。基于GF-6 WFV遥感影像以栾城县为试验区,通过光谱植被指数与实测叶面积指数构造5种传统光谱植被指数模型和15种红边参与的光谱植被指数模型反演乳熟期叶面积指数,采用R²和RMSE进行模型评价,同时利用未参与建模的实测叶面积指数和MODIS LAI产...     

基于线指数特征的海量恒星光谱聚类分析研究

聚类分析是数据挖掘中用以发现数据分布和隐含模式的一种重要算法,能简单有效地研究大样本、多参量和类别未知的光谱数据。以线指数作为光谱数据的特征值能够在尽可能多的保留光谱物理特征的同时,有效解决高维光谱数据聚类分析中运算复杂度较高的问题。本文提出了基于线指数特征的海量恒星光谱数据聚类分析的方法,提取恒星光谱中的Lick线指数作为海量巡天光谱数据的特征,使用k均值聚类算法完成对光谱数据的聚类,然后对聚类结果进行有效的分析。实验结果证明该方法能够快速有效地将具有相似物理特征的恒星光谱数据聚集到一起,该方法可以应用到巡天数据的研究中。     

Refinements of the Weyl Pure Geometrical Thick Branes From Information‐Entropic Measure

This work aims to analyse the so‐called configurational entropy in the Weyl pure geometrical thick brane model. The Weyl structure plays a prominent role in the brane thickness of this model. We find a set of parameters associated to the brane width where the configurational entropy exhibits critical points. The information‐theoretical measure sets bounds into parameter of Weyl pure geometrical brane model. In addition, we also argue that a similar approach can be useful to analyze the corrections to Newtonian and Coulombian potentials in Weyl scenarios.     

利用电磁波折射现象计算和测量液体折射率

电磁波在传播过程中如果遇到障碍物,就会产生反射和折射现象,并且遵守反射定律和折射定律.本实验利用一个金属板作为反射体,利用蒸馏水、乙醇、糖溶液(80％)作为折射体,验证了电磁波中反射现象和折射现象,同时测量出了液体的折射率.     

基于闪耀光纤光栅的折射率传感技术实验研究

提出了一种基于闪耀光纤光栅传感技术的折射率测量新方法,即采用SLED作为光源,通过检测闪耀光纤光栅透射谱强度实现折射率的测量.实验证明,当环境折射率在1.372 3~1.453 2之间变化时,闪耀光纤光栅透射功率从0.611~0.472 mW线性下降,其灵敏度达到1.718 μW/（0.001折射率变化）.该检测方法具有结构简单、无需波长检测、灵敏度高、易于工程化等优点.     

An Evolution Based on Various Energy Strategies

The simplest model of the evolution of agents with different energy strategies is considered. The model is based on the most general thermodynamic ideas and includes the procedures for selection, inheritance, and variability. The problem of finding a universal strategy (principle) as a selection of possible competing strategies is solved. It is shown that when there is non-equilibrium between the medium and agents, a direction in the evolution of agents arises, but at the same time, depending on the conditions of the evolution, different strategies can be successful. However, for this case, the simulation results reveal that in the presence of significant competition of agents, the strategy that has the maximum total energy dissipation of agents arising as a result of evolution turns out to be successful. Thus, it is not the specific strategy that is universal, but the maximization of dissipation. This result discovers an interesting connection between the basic principles of Darwin–Wallace evolution and the maximum entropy production principle.     

ADI土壤水分反演方法

土壤水分是影响植被、土壤和大气之间能量和水分循环的重要因素,及时准确获取土壤湿度信息有利于提高作物估产精度和改善田间管理措施。本文基于红光与近红外光谱特征空间(NIR-RED)发展了一种新型土壤水分遥感监测模型ADI(angle dryness index),提高了可见光与近红外波段监测土壤水分的精度。经过研究表明,在红光与近红外(NIR-RED)特征空间中,存在一个中间角度变量θ,利用光谱反射率与土壤水分之间的经验关系式模型以及混合像元分解公式证明该变量能够表征土壤湿度情况,而不受植被覆盖度的影响,因此利用该原理构建了ADI方法。最后利用两组遥感数据(分别为TM5与MODIS产品数据)以及对应的地面观测数据进行验证,结果表明计算值与实测值均具有较高的一致性,R2分别达到0.74与0.64。同时,将MPDI的计算结果与实测值进行了比较,两组数据的R2均小于0.60,表明ADI方法的计算精度高于MPDI。在MPDI的计算过程中用到了植被覆盖度,这可能是引起计算结果误差的主要因素。此外,MPDI的计算结果表征土壤湿度的相对值,而ADI则能定量的获取土壤水分含量。MODIS像元除了具有植被与土壤两个端元,还有其他类型端元的概率高于TM数据,因而MODIS数据的计算精度低于TM。因此,ADI是一种简单可行且具有较大应用前景的土壤水分反演方法,适合于推广应用。