Algorithms and statistical analysis for linear structured weighted total least squares problem

Weighted total least squares(WTLS)have been regarded as the standard tool for the errors-in-variables(EIV)model in which all the elements in the observation vector and the coefficient matrix are contaminated with random errors.However,in many geodetic applications,some elements are error-free and some random observations appear repeatedly in different positions in the augmented coefficient matrix.It is called the linear structured EIV(LSEIV)model.Two kinds of methods are proposed for the LSEIV model from functional and stochastic modifications.On the one hand,the functional part of the LSEIV model is modified into the errors-in-observations(EIO)model.On the other hand,the stochastic model is modified by applying the Moore-Penrose inverse of the cofactor matrix.The algorithms are derived through the Lagrange multipliers method and linear approximation.The estimation principles and iterative formula of the parameters are proven to be consistent.The first-order approximate variance-covariance matrix(VCM)of the parameters is also derived.A numerical example is given to compare the performances of our proposed three algorithms with the STLS approach.Afterwards,the least squares(LS),total least squares(TLS)and linear structured weighted total least squares(LSWTLS)solutions are compared and the accuracy evaluation formula is proven to be feasible and effective.Finally,the LSWTLS is applied to the field of deformation analysis,which yields a better result than the traditional LS and TLS estimations.

Numerical simulation of inlet placement on sewage characteristics in the rounded square aquaculture tank with single inlet

To improve the self-cleaning ability of aquaculture tank and the efficiency of circulating water,physical and numerical experiments were conducted on the influence of inlet structure on sewage discharge in a rounded square aquaculture tank with a single inlet.Based on the physical model of the tank,analysis of how inlet structure adjustment affects sewage discharge efficiency and flow field characteristics was conducted to provide suitable flow field conditions for sinkable solid particle discharge.In addition,an internal flow field simulation was conducted using the RNG k-εturbulence model in hydraulic drive mode.Then a solid-fluid multiphase model was created to investigate how the inlet structure affects sewage collection in the rounded square aquaculture tank with single inlet and outlet.The finding revealed that the impact of inlet structure is considerably affecting sewage collection.The conditions of C/B=0.07-0.11(the ratio of horizontal distance between the center of the inlet pipe and the tank wall(C)to length of the tank(B))andα=25°(αis the angle between the direction of the jet and the tangential direction of the arc angle)resulted in optimal sewage collection,which is similar to the flow field experiment in the rounded square aquaculture tank with single inlet and outlet.An excellent correlation was revealed between sewage collection and fluid circulation stability in the aquaculture tank.The present study provided a reference for design and optimization of circulating aquaculture tanks in aquaculture industry.

THE WEIGHTED KATO SQUARE ROOT PROBLEMOF ELLIPTIC OPERATORS HAVING A BMOANTI-SYMMETRICPART

Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted Kato square root problem for L.More precisely,we prove that the square root L^(1/2)satisfies the weighted L^(p)estimates||L^(1/2)(f)||L_(ω)^p(R^(n))≤C||■f||L_(ω)^p(R^(n);R^(n))for any p∈(1,∞)andω∈Ap(ℝ^(n))(the class of Muckenhoupt weights),and that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,2+ε)andω∈Ap(ℝ^(n))∩RH_(2+ε/p),(R^(n))(the class of reverse Hölder weights),whereε∈(0,∞)is a constant depending only on n and the operator L,and where(2+ε/p)'denotes the Hölder conjugate exponent of 2+ε/p.Moreover,for any given q∈(2,∞),we give a sufficient condition to obtain that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,q)andω∈A_(p)(R^(n))∩pRH_(q/p),(R^(n)).As an application,we prove that when the coefficient matrix A that appears in L satisfies the small BMO condition,the Riesz transform∇L^(−1/2)is bounded on L_(ω)^(p)(ℝ^(n))for any given p∈(1,∞)andω∈Ap(ℝ^(n)).Furthermore,applications to the weighted L^(2)-regularity problem with the Dirichlet or the Neumann boundary condition are also given.

Least Squares One-Class Support Tensor Machine

One-class classification problem has become a popular problem in many fields, with a wide range of applications in anomaly detection, fault diagnosis, and face recognition. We investigate the one-class classification problem for second-order tensor data. Traditional vector-based one-class classification methods such as one-class support vector machine (OCSVM) and least squares one-class support vector machine (LSOCSVM) have limitations when tensor is used as input data, so we propose a new tensor one-class classification method, LSOCSTM, which directly uses tensor as input data. On one hand, using tensor as input data not only enables to classify tensor data, but also for vector data, classifying it after high dimensionalizing it into tensor still improves the classification accuracy and overcomes the over-fitting problem. On the other hand, different from one-class support tensor machine (OCSTM), we use squared loss instead of the original loss function so that we solve a series of linear equations instead of quadratic programming problems. Therefore, we use the distance to the hyperplane as a metric for classification, and the proposed method is more accurate and faster compared to existing methods. The experimental results show the high efficiency of the proposed method compared with several state-of-the-art methods.

Numerical Simulation of Oil-Water Two-Phase Flow in Low Permeability Tight Reservoirs Based on Weighted Least Squares Meshless Method

In response to the complex characteristics of actual low-permeability tight reservoirs,this study develops a meshless-based numerical simulation method for oil-water two-phase flow in these reservoirs,considering complex boundary shapes.Utilizing radial basis function point interpolation,the method approximates shape functions for unknown functions within the nodal influence domain.The shape functions constructed by the aforementioned meshless interpolation method haveδ-function properties,which facilitate the handling of essential aspects like the controlled bottom-hole flow pressure in horizontal wells.Moreover,the meshless method offers greater flexibility and freedom compared to grid cell discretization,making it simpler to discretize complex geometries.A variational principle for the flow control equation group is introduced using a weighted least squares meshless method,and the pressure distribution is solved implicitly.Example results demonstrate that the computational outcomes of the meshless point cloud model,which has a relatively small degree of freedom,are in close agreement with those of the Discrete Fracture Model(DFM)employing refined grid partitioning,with pressure calculation accuracy exceeding 98.2%.Compared to high-resolution grid-based computational methods,the meshless method can achieve a better balance between computational efficiency and accuracy.Additionally,the impact of fracture half-length on the productivity of horizontal wells is discussed.The results indicate that increasing the fracture half-length is an effective strategy for enhancing production from the perspective of cumulative oil production.

Comparative Study of Probabilistic and Least-Squares Methods for Developing Predictive Models

This article explores the comparison between the probability method and the least squares method in the design of linear predictive models. It points out that these two approaches have distinct theoretical foundations and can lead to varied or similar results in terms of precision and performance under certain assumptions. The article underlines the importance of comparing these two approaches to choose the one best suited to the context, available data and modeling objectives.

3D密码的Square攻击

3D密码是CANS2008提出的新的分组密码算法,与以往的分组密码算法不同,该密码采用3维结构。该文根据3D密码的结构特性,得到了3D密码的5.25轮和6.25轮新的Square区分器,重新评估了其抗Square攻击的强度。攻击结果表明:新区分器对6轮3D密码攻击的数据复杂度和时间复杂度比已有的结果好,并且还可应用到7轮,8轮和9轮的3D密码攻击中。

CLEFIA密码的Square攻击

该文根据CLEFIA密码的结构特性,得到了Square攻击的新的8轮区分器,并指出了设计者提出的错误8轮区分器。利用新的8轮区分器对CLEFIA密码进行了10到12轮的Square攻击,攻击结果如下:攻击10轮CLEFIA-128\192\256的数据复杂度和时间复杂度分别为297和292.7;攻击11轮CLEFIA-192\256的数据复杂度和时间复杂度分别为298和2157.6;攻击12轮CLEFIA-256的数据复杂度和时间复杂度分别为298.6和2222。攻击结果表明:在攻击10轮CLEFIA时,新的Square攻击在数据复杂度和时间复杂度都优于设计者给出的Square攻击。

Zodiac算法新的Square攻击

该文重新评估了Zodiac算法抗Square攻击的能力。Zodiac算法存在8轮Square区分器,该文首先根据算法的结构特性,给出了Zodiac的4个等价结构,而后利用等价结构得到了两个新的9轮Square区分器。利用新的区分器,对不同轮数的Zodiac算法实施了Square攻击,对12轮,13轮,14轮,15轮和16轮Zodiac的攻击复杂度分别为237.3,262.9,296.1,2137.1和2189.5次加密运算,选择明文数分别为210.3,211,211.6,212.1和212.6。结果表明:完整16轮192bit密钥的Zodiac算法是不抗Square攻击的。

Least Square Finite Element Model for Analysis of Multilayered Composite Plates under Arbitrary Boundary Conditions

Laminated composites are widely used in many engineering industries such as aircraft, spacecraft, boat hulls, racing car bodies, and storage tanks. We analyze the 3D deformations of a multilayered, linear elastic, anisotropic rectangular plate subjected to arbitrary boundary conditions on one edge and simply supported on other edge. The rectangular laminate consists of anisotropic and homogeneous laminae of arbitrary thicknesses. This study presents the elastic analysis of laminated composite plates subjected to sinusoidal mechanical loading under arbitrary boundary conditions. Least square finite element solutions for displacements and stresses are investigated using a mathematical model, called a state-space model, which allows us to simultaneously solve for these field variables in the composite structure’s domain and ensure that continuity conditions are satisfied at layer interfaces. The governing equations are derived from this model using a numerical technique called the least-squares finite element method (LSFEM). These LSFEMs seek to minimize the squares of the governing equations and the associated side conditions residuals over the computational domain. The model is comprised of layerwise variables such as displacements, out-of-plane stresses, and in- plane strains, treated as independent variables. Numerical results are presented to demonstrate the response of the laminated composite plates under various arbitrary boundary conditions using LSFEM and compared with the 3D elasticity solution available in the literature.

对特殊类型Feistel密码的Square攻击

对轮函数为SP结构的两类特殊类型Feistel密码抗Square攻击的能力进行了研究。通过改变轮函数中P置换的位置从而给出了此类Feistel密码的等价结构,以SNAKE(2)和CLEFIA为例,给出了基于等价结构Square攻击的具体过程,将6轮SNAKE(2)的Square攻击的时间复杂度由224降为213.4;将6轮CLEFIA的Square攻击的时间复杂度由234.4降为212.4。结果表明,在设计轮函数为SP结构的Feistel密码时,必须充分考虑等价结构对算法抗Square攻击的影响。

Rijndael密码的逆序Square攻击

2000年10月Rijnael被选为高级加密标准(AES),目前对它最有效攻击仍是由设计者提出的Square攻击。Square攻击是利用密码Square特性提出的选择明文攻击,可以对六轮和六轮以下的Rijndael密码进行成功的攻击,攻击六轮Rijndael的所有密钥的计算量为2×2^(72)+2^(64),五轮密码的复杂度为3×2^(40)+2^(32)。该文提出了逆序Square攻击算法,该算法是基于密码Square特性提出的选择密文攻击方法。它攻出六轮Rijndael密码的所有密钥的复杂度为2^(72)+2^(56),五轮密码的复杂度为2^(40)+2^(24)。若改变密钥扩散准则中的圈循环顺序,五轮密码的逆序Square攻击复杂度由2^(40)降为2^(32),六轮的攻击复杂度由2^(72)降为2^(64).

相关密钥Square攻击AES-192

利用AES-192子密钥间的内在关系,完全确定了在特定相关密钥差分下的前8轮子密钥的所有确切的差分值,结合Asiacrypt’2010中的密钥桥技术可以确定部分初始密钥,从而发现AES-192的密钥编排方案存在一定缺陷。利用该缺陷,给出了一个相关密钥Square攻击7轮和8轮AES-192的新方法。新方法攻击8轮AES-192仅需244.5选择明文,244.5存储,以及2183.5的8轮AES-192加密。结合部分和技术进一步降低了攻击的计算复杂度。

Quantity of plant leaf area on three major public squares in Kunming City, China

Regressive formulae to calculate the quantity of plant leaf area for 13 species of ornamental plants were set up based on investigation data of 30 species on 3 major public squares (Dongfeng square, Shengli square and Guandu square) in Kun-ming City, China, which were applied to calculate quantities of plant leaf area of these 13 species. The quantities of plant leaf area for the other 17 ornamental plant species on these squares were directly measured, and the total quantity of plant leaf area of each studied square was obtained individually. The results showed that the quantity of plant leaf area on Shengli square with ornamental plants structure composed of arbor tree species, shrub tree species and turf grass was highest among the three squares. It is believed that the design model of multi-storied vertical structure and proper tending of plant community could not only increase the quantity of plant leaf area, but also play an important role in generating ecological and landscaping benefits. Some corresponding suggestions were put forward on the basis of comprehensive analyses on the plant leaf area quantity of the three representative squares in Kunming urban area.

对于5轮Camellia密码的Square攻击

讨论了Square方法对于Camellia密码的攻击 .结果表明 ,Square方法是攻击Camellia密码最有效的方法之一 .Camellia密码是欧洲NESSIE密码计划中 ,分组密码候选加密算法之一 .它是 1 2 8比特密码分组 ,支持 1 2 8、1 92和 2 5

Stability monitoring and evaluation of the modeled test square for prehistoric earthen sites during excavation period

In order to explore the stability of test square during archaeological excavation for prehistoric earthen sites in Hangzhou, a modeled test square with 2. 3 min depth, inplane dimensions of 5 min width by 5 m in length, and an archaeological column in the middle was excavated by means of a top-down excavation technique. To investigate the stability performance of the modeled test square and the associated effect on the adjacent area, a real-time comprehensive instrumentation program was conducted during the excavation. Field observations included ground settlements, lateral displacement, pore pressure and underground water level. Monitoring data indicates that the ground settlement induced by dewatering and unloading action basically decreases with the increase of the distance away from the pit edge, and the lateral displacements at four sides showa nonlinear variation along the depth. The maximum value is far below the acceptable value regulated by the related standard,which validates the stability of the modeled test square during excavation. Variations of pore pressure and water level suggest that long-term stability should be paid more attention due to the slowconsolidation of soft soil. Meanwhile, it is proved that the step shape of the wall can resist lateral displacement more effectively than the vertical shape of wall. This case study provides insights into the real archaeological excavation in Hangzhou, in particular Liangzhu prehistoric earthen sites.

Chi-square统计技术在信息系统异常检测中的应用

描述了Chi-square统计技术的原理,设计了实现该技术的算法,并用V isual C++6.0编程环境实现。为了验证原理和算法的有效性,对UNIX和W indows XP两个系统中的数据进行了采样实验和比较,结果表明:如果以入侵情节为基本单位,本文算法能有效降低误报率和提高检测率。

chi-square检测算法的特性分析研究

对图像信息隐藏chi-square检测算法的特性进行了剖析,介绍了改变隐藏载体的分布特性、非LSB(least significant bits)嵌入和随机嵌入三种抗检测的算法思想,分析了EzStego v2.0b3和Jsteg v4.0隐写软件隐藏算法存在的弱点,并进行了改进,达到了抵御chi-square检测法的目的。

Fe-6.5%Si高硅钢铁芯与Epstein Square标准单片铁损检测结果对比及数据差异分析

作为一种具有优异高频铁磁性能的合金,Fe-6.5%Si(质量分数)高硅钢在高频工况条件下降损效果明显,对电气行业应用器件高频化、小型化、节能等具有十分重要的意义。通过与取向硅钢测量B-P数据对比,验证了高硅钢高频超低损特性,且轧制高硅钢与日本CVD法生产高硅钢存在基本相同的铁损值。采用国标Epstein Square法对0.30mm高硅钢薄板进行单片测试,并对由0.30mm高硅钢薄板首次装配成的电感器进行铁损测试,对比测试结果表明,元件测试与单片测试数据基本吻合,高磁感应强度条件下,元件测试结果略低于单片测试,分析原因为:线圈引起励磁压降;元件叠片间出现短路,电流增大,损耗增加;气隙板厚度过大。

Expression of Indigenous Landscapes in the Design of Modern Urban Squares

Modern urban square landscapes have been evolved to be with more regional and cultural features, yet the phenomenon of duplication is serious in urban square landscapes in China. In this study, the connotation of indigenous landscape is analyzed from the perspectives of local culture, integration of Chinese and western cultures, folk cultures and modern marketing, the causes of duplicated urban square landscapes are thoroughly elaborated. In view of the deficiencies of modern urban square landscapes, it is proposed that local plants, local ornamental materials and patterns should be fully applied in square designs, and the expression of detail landscapes should be attached sufficient importance, to completely demonstrate regional features of landscapes and better apply indigenous landscapes into the design of modern urban squares.