Novel method for extraction of ship target with overlaps in SAR image via EM algorithm

The quality of synthetic aperture radar(SAR)image degrades in the case of multiple imaging projection planes(IPPs)and multiple overlapping ship targets,and then the performance of target classification and recognition can be influenced.For addressing this issue,a method for extracting ship targets with overlaps via the expectation maximization(EM)algorithm is pro-posed.First,the scatterers of ship targets are obtained via the target detection technique.Then,the EM algorithm is applied to extract the scatterers of a single ship target with a single IPP.Afterwards,a novel image amplitude estimation approach is pro-posed,with which the radar image of a single target with a sin-gle IPP can be generated.The proposed method can accom-plish IPP selection and targets separation in the image domain,which can improve the image quality and reserve the target information most possibly.Results of simulated and real mea-sured data demonstrate the effectiveness of the proposed method.

基于EM-KF算法的微地震信号去噪方法

针对微地震信号能量较弱,噪声较强,使微地震弱信号难以提取问题,提出了一种基于EM-KF(Expectation Maximization Kalman Filter)的微地震信号去噪方法。通过建立一个符合微地震信号规律的状态空间模型,并利用EM(Expectation Maximization)算法获取卡尔曼滤波的参数最优解,结合卡尔曼滤波,可以有效地提升微地震信号的信噪比,同时保留有效信号。通过合成和真实数据实验结果表明,与传统的小波滤波和卡尔曼滤波相比,该方法具有更高的效率和更好的精度。

双边定时截尾下Pareto分布的参数的极大似然估计的EM算法

给出了当寿命分布为Pareto分布时,双边定时截尾寿命试验下形状参数的极大似然估计。由于似然方程形式较复杂,无法得到参数的显式表达式。但可证明此极大似然估计是唯一存在的,并利用EM算法求出了此参数的一种估计。

基于NBN-EM的地铁施工事故致因分析模型研究

地铁施工事故具有易发性且事故类型复杂多样,针对现有地铁施工事故分析方法多依赖于专家主观经验构建,且仅有较少方法对事故报告信息加以利用的问题,提出一种基于NBN-EM的地铁施工事故致因分析模型。首先,以搜集的2010—2021年间的223起事故报告为数据来源,采用统计学方法提取及筛选风险因素,进一步归纳建立事故致因分析的指标体系;其次,采用改进的朴素贝叶斯网络构建风险因素指标与事故类型关系的图形结构,同时分层随机抽样80%的数据为训练样本,借助EM算法和Netica软件进行数据学习,确定各节点的先验概率和条件概率参数;最后,通过贝叶斯网络推理和敏感性分析得到不同类型事故的关键致因排序,不同视角下的情景分析对风险因素组合作用下的事故发生概率和风险源识别进行了确定。研究结果表明:施工工法、施工方案内容、安全隐患排查分别为三个维度上造成事故发生的最重要因素,不同类型事故的关键风险因素具有差异性,应区别预控,模型测试验证方法的有效性,平均正确率为84.55%。

带有偏正态误差的众数回归模型最大似然估计的EM算法

经典的多元线性回归模型要求残差满足高斯-马尔柯夫假设(G-M),在实际生活中由于数据的随机性往往很难满足这个条件.利用Sahu等在2003年提出的偏正态分布来拓展经典的回归模型,给出了偏正态分布众数的近似表达式,建立了偏正态分布下均值和众数多元线性回归模型.在求解模型的参数估计时使用偏正态分布的分层表示构造EM算法.在M步统一给出两点步长梯度下降算法,同时也对均值模型给出显示迭代表达式.最后通过模拟分析以及实例来讨论两种回归模型的可行性.

Modelling the Survival of Western Honey Bee Apis mellifera and the African Stingless Bee Meliponula ferruginea Using Semiparametric Marginal Proportional Hazards Mixture Cure Model

Classical survival analysis assumes all subjects will experience the event of interest, but in some cases, a portion of the population may never encounter the event. These survival methods further assume independent survival times, which is not valid for honey bees, which live in nests. The study introduces a semi-parametric marginal proportional hazards mixture cure (PHMC) model with exchangeable correlation structure, using generalized estimating equations for survival data analysis. The model was tested on clustered right-censored bees survival data with a cured fraction, where two bee species were subjected to different entomopathogens to test the effect of the entomopathogens on the survival of the bee species. The Expectation-Solution algorithm is used to estimate the parameters. The study notes a weak positive association between cure statuses (ρ1=0.0007) and survival times for uncured bees (ρ2=0.0890), emphasizing their importance. The odds of being uncured for A. mellifera is higher than the odds for species M. ferruginea. The bee species, A. mellifera are more susceptible to entomopathogens icipe 7, icipe 20, and icipe 69. The Cox-Snell residuals show that the proposed semiparametric PH model generally fits the data well as compared to model that assume independent correlation structure. Thus, the semi parametric marginal proportional hazards mixture cure is parsimonious model for correlated bees survival data.

SOQPSK-TG信号的EM半盲载波频偏估计

针对成形偏移四相相移键控-TG(Shaped Offset Quadrature Phase Shift Keying-Telemetry Group version,SOQPSK-TG)信号在训练序列长度受限时频偏估计精度较低的问题,利用双二进制分解(Doubinary Decomposition,DBD)原理提出基于期望最大化(Expectation Maximization,EM)的SOQPSK半盲载波频偏(Carrier Frequency Offset,CFO)估计算法。为了确保EM算法收敛到预期性能范围,使用基于非线性四次方码元定时估计算法的非数据辅助频偏估计方法优化了EM算法初始点选择。仿真实验结果表明,该算法相比于使用训练序列进行数据辅助估计的方法,在不增加辅助数据数量的前提下能够进一步提升CFO估计的精度,并在较高信噪比下拥有接近序列总长度所对应的克拉美罗界(Cramér-Rao Bound,CRB)的优秀性能。

基于高斯混合模型及EM算法的建筑工程数据预警治理方法

结合初期雨水调蓄大直径顶管工程的实际设计及施工经验,对软弱地层条件下长距离大直径平行双管曲线顶管在设计及施工过程中存在的重点难点问题进行总结,并对顶管过程中的顶力及管周摩阻力做了深入分析研究,有针对性地提出了相应的解决方案,使该顶管工程顺利贯通。建筑工程行业在现代社会中发挥着重要的经济和社会作用,然而,它也伴随着诸多风险和不确定性。为了有效地管理和预测这些风险,本文提出了一种基于高斯混合模型(GMM)和期望最大化(EM)算法的数据预警治理方法。该方法旨在通过对建筑工程数据的建模和分析,提前识别潜在的问题和风险,从而改善工程项目的管理和决策。

结合EM/MPM算法和Voronoi划分的图像分割方法

为了在模型参数先验分布知识未知情况下实现基于区域和统计的图像分割,并同时获取更加精确的模型参数,提出了一种结合Voronoi划分技术、最大期望值(Expectation Maximization,EM)和最大边缘概率(Maximizationof the Posterior Marginal,MPM)算法的图像分割方法。该方法利用Voronoi划分技术将图像域划分为若干子区域,待分割图像中的同质区域可以由一组子区域拟合而成,并假定各同质区域内像素强度服从同一独立的正态分布,从而建立图像模型,然后结合EM/MPM算法进行图像分割和模型参数估计,其中,MPM算法用于实现面向同质区域的图像分割,EM算法用于估计图像模型参数。为了验证提出的图像分割方法,分别对合成图像和真实图像进行了分割实验,并和传统的基于像素的MRF分割结果进行对比,测试结果的定性和定量分析表明了该方法的有效性和准确性。

基于Delaunay划分结合EM\MPM算法的图像分割方法

为了克服传统基于区域的图像分割方法对图像初始划分完全随机进而导致算法效率低下的缺点,本文提出了一种基于Delaunay划分并结合最大期望值(Expectation Maximization,EM)和最大边缘概率(Maximization of the Posterior Marginal,MPM)算法的图像分割方法。该方法首先提取图像特征点,并把特征点集作为构建Delaunay三角网的基础点集。利用Delaunay三角网的构建将影像划分成众多彼此连接的超像素,并假设这些超像素内的像素灰度值服从同一独立的正态分布,基于此完成特征场模型的建立,再运用EM\MPM方法分别模拟特征场模型和分割影像。为了验证本文提出的算法能够有效地分割图像,分别对模拟图像和真实图像进行分割测试,并和经典的初始划分完全随机的超像素影像分割算法进行对比,测试结果定性和定量地表明了该方法的有效性和准确性。

三参数Normal-Ogive模型参数估计的SAEM算法

Normal-Ogive模型是项目反应理论的代表性模型之一,其参数估计主要是基于MCMC抽样实现的,但MCMC抽样的不足是计算效率较低。针对这一问题,本文以混合模型(mixture model)的视角,通过变量扩充,提出三参数normalogive(3PNO)模型题目参数估计的随机逼近EM(stochastic approximation EM,简称SAEM)算法,并通过Monte Carlo模拟对SAEM算法的主要影响因素、计算效率、估计的返真性进行验证。模拟研究的结果表明:SAEM算法能够准确实现3PNO模型题目参数估计的计算,并且具有较高的计算效率,表现出优良的计算性质。

Research on Initialization on EM Algorithm Based on Gaussian Mixture Model

The EM algorithm is a very popular maximum likelihood estimation method, the iterative algorithm for solving the maximum likelihood estimator when the observation data is the incomplete data, but also is very effective algorithm to estimate the finite mixture model parameters. However, EM algorithm can not guarantee to find the global optimal solution, and often easy to fall into local optimal solution, so it is sensitive to the determination of initial value to iteration. Traditional EM algorithm select the initial value at random, we propose an improved method of selection of initial value. First, we use the k-nearest-neighbor method to delete outliers. Second, use the k-means to initialize the EM algorithm. Compare this method with the original random initial value method, numerical experiments show that the parameter estimation effect of the initialization of the EM algorithm is significantly better than the effect of the original EM algorithm.

Expectation-maximization (EM) Algorithm Based on IMM Filtering with Adaptive Noise Covariance

A novel method under the interactive multiple model (IMM) filtering framework is presented in this paper, in which the expectation-maximization (EM) algorithm is used to identify the process noise covariance Q online. For the existing IMM filtering theory, the matrix Q is determined by means of design experience, but Q is actually changed with the state of the maneuvering target. Meanwhile it is severely influenced by the environment around the target, i.e., it is a variable of time. Therefore, the experiential covariance Q can not represent the influence of state noise in the maneuvering process exactly. Firstly, it is assumed that the evolved state and the initial conditions of the system can be modeled by using Gaussian distribution, although the dynamic system is of a nonlinear measurement equation, and furthermore the EM algorithm based on IMM filtering with the Q identification online is proposed. Secondly, the truncated error analysis is performed. Finally, the Monte Carlo simulation results are given to show that the proposed algorithm outperforms the existing algorithms and the tracking precision for the maneuvering targets is improved efficiently.

基于EM算法的组合导航系统容错方法

针对SINS/GPS组合导航系统中,GPS提供的量测信号存在容易受到干扰而导致滤波精度下降的问题,提出一种基于EM算法的组合导航系统容错方法。该方法对各个分量的量测噪声建立二维高斯混合模型,并引入一个指示变量表示量测值从异常分布中采样的概率。根据系统状态方程、上一时刻状态估计值以及当前时刻测量值,利用EM算法求解当前时刻量测真值的极大似然估计,并结合序贯滤波算法对每一个分量的量测值进行精细检测与修正。车载实验表明,该方法能够有效提高SINS/GPS组合导航系统在GPS信号异常情况下的融合精度与可靠性。

Passive Loss Inference in Wireless Sensor Networks Using EM Algorithm

Wireless Sensor Networks (WSNs) are mainly deployed for data acquisition, thus, the network performance can be passively measured by exploiting whether application data from various sensor nodes reach the sink. In this paper, therefore, we take into account the unique data aggregation communication paradigm of WSNs and model the problem of link loss rates inference as a Maximum-Likelihood Estimation problem. And we propose an inference algorithm based on the standard Expectation-Maximization (EM) techniques. Our algorithm is applicable not only to periodic data collection scenarios but to event detection scenarios. Finally, we validate the algorithm through simulations and it exhibits good performance and scalability.

EM算法在变形监测数据处理中的应用

针对测量数据在隐含的未观测变量或者观测数据不完整的情况下难以处理等一系列问题,引入EM算法,对不完全沉降数据进行建模分析,并对后期沉降数据进行较为精确的预测。建模结果表明,在缺失数据情况下,EM算法可以有效提高变形监测数据分析的精度和可靠性,提高变形监测数据处理质量。

基于逐步搜索EMS算法的M2PL模型潜变量选择

介绍了基于期望模型选择(EMS)算法的多维双参数Logistic(M2PL)模型的潜变量选择方法,并采用逐步搜索的方式对模型选择(MS)步的计算做出了改进.与传统的MS步相比,改进方法计算的子模型个数更少,能够有效提升计算效率.模拟比较显示,改进方法用时更短,且在潜变量选择和参数估计方面具有良好的表现.

基于EM-GIBBS算法的ARMA(p,q)测量误差模型的参数估计

本文对基于ARMA(p,q)的测量误差模型的参数估计提出了EM-Gibbs算法.由于无法给出模型参数的极大似然估计解析解,本文在EM算法框架下对参数进行估计.在实施EM算法M步骤过程中,为了计算高维正态分布的隐变量一阶、二阶矩,需要求出高阶矩阵的逆矩阵.为了避开计算高阶矩阵的逆矩阵,通过Gibbs抽样,给出了隐变量的一阶、二阶矩的估计,从而给出了EM算法M步骤中参数最优值的估计.最后通过对ARMA(1,1)测量误差模型进行了数值模拟,模拟结果验证了所提EM-Gibbs算法的可行性和有效性.

基于EM算法及Cox回归模型下右删失数据的研究

右删失数据是删失数据中最常见的数据类型,通常出现在数学、医学和科学研究等领域,由于受到外界因素的影响和在实验过程中研究对象起始和结尾发生的结果不同就使得实验中发生了右删失数据。因此,在数据分析时处理产生的删失数据是最为关键的一步。旨在处理右删失数据的方法为EM算法和Cox回归两种方法,这里主要研究产生右删失数据的过程,并深入了解EM算法和Cox回归方法的基本思想。