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基于集值统计-Entropy的采空区自燃危险性预测模型及应用 被引量:13
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作者 祁云 齐庆杰 +1 位作者 汪伟 周新华 《安全与环境学报》 CAS CSCD 北大核心 2019年第5期1526-1531,共6页
针对采空区遗煤自燃危险影响因素多且具有突发性和不确定性、对其进行定量分析难度较大的问题,提出了基于集值统计-Entropy的综合确权模糊预测法对采空区遗煤自燃危险性进行预测与分析。通过引入修正系数和向量内积优化预测评价模型,减... 针对采空区遗煤自燃危险影响因素多且具有突发性和不确定性、对其进行定量分析难度较大的问题,提出了基于集值统计-Entropy的综合确权模糊预测法对采空区遗煤自燃危险性进行预测与分析。通过引入修正系数和向量内积优化预测评价模型,减小主客观因素对预测结果的影响。基于层次分析原理建立了采空区自燃危险2级预测模型,分析各权重置信度,预测自燃危险性等级。将该模型应用于晋牛煤矿1303工作面采空区,自燃危险预测结果与实际情况吻合较好,实证了基于集值统计-Entropy的模糊数学模型对采空区遗煤自燃危险性预测的科学性,与经典AHP法相比预测过程更直观,预测结果更准确,为采空区自燃灾害有效防治提供了一种新的理论依据。 展开更多
关键词 安全工程 采空区 遗煤自燃 模糊数学 集值统计-entropy模型 指标权重
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Generalized δ-entropy condition to Riemann solution for Chaplygin gas in traffic flow 被引量:1
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作者 Wancheng SHENG Ying ZENG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第3期353-364,共12页
The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations, t... The Riemann problem for the Aw-Rascle model in the traffic flow with the Delta initial data for the Chaplygin gas is studied. The solutions are constructed globally under the generalized Rankine-Hugoniot relations, the δ-entropy conditions, and the generalized δ-entropy conditions. A new Delta wave, which is called a primary Delta wave, is defined in some solutions. The primary Delta wave satisfies the generalized Rankine- Hugoniot relations and the generalized δ-entropy conditions. It generates initially from the Delta initial data, which either evaluates a Delta wave, whose weight becomes stronger and stronger, or disappears at a finite time. 展开更多
关键词 generalized δ-entropy condition Riemann problem for Aw-Rascle model generalized Rankine-Hugoniot relation Delta initial datum Chaplygin gas
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Generalized <i>α</i>-Entropy Based Medical Image Segmentation
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作者 Samy Sadek Sayed Abdel-Khalek 《Journal of Software Engineering and Applications》 2014年第1期62-67,共6页
In 1953, Rènyi introduced his pioneering work (known as α-entropies) to generalize the traditional notion of entropy. The functionalities of α-entropies share the major properties of Shannon’s entropy. Moreove... In 1953, Rènyi introduced his pioneering work (known as α-entropies) to generalize the traditional notion of entropy. The functionalities of α-entropies share the major properties of Shannon’s entropy. Moreover, these entropies can be easily estimated using a kernel estimate. This makes their use by many researchers in computer vision community greatly appealing. In this paper, an efficient and fast entropic method for noisy cell image segmentation is presented. The method utilizes generalized α-entropy to measure the maximum structural information of image and to locate the optimal threshold desired by segmentation. To speed up the proposed method, computations are carried out on 1D histograms of image. Experimental results show that the proposed method is efficient and much more tolerant to noise than other state-of-the-art segmentation techniques. 展开更多
关键词 α-entropy Cell IMAGE Entropic IMAGE SEGMENTATION
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Kolmogorov's ε-Entropy of Bounded Sets in Discrete Spaces and Attractors of Dissipative Lattice Systems 被引量:1
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作者 Sheng Fan ZHOU Qiu Li JIA Wei SHI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第2期313-320,共8页
We obtain an estimate of the upper bound for Kolmogorov's ε-entropy for the bounded sets with small "tail" in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dis... We obtain an estimate of the upper bound for Kolmogorov's ε-entropy for the bounded sets with small "tail" in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dissipative lattice systems in a reflexive Banach discrete space and establish an upper bound of Kolmogorov's ε-entropy of the global attractor for lattice systems. 展开更多
关键词 Kolmogorov's ε-entropy discrete space dissipative lattice system global attractor
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Upper Semicontinuity and Kolmogorov ε-Entropy of Global Attractor for κ-Dimensional Lattice Dynamical System Corresponding to Klein-Gordon-SchrSdinger Equation
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作者 Fu-qi Yin Sheng-fan Zhou 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2006年第3期469-486,共18页
In this paper, we establish the existence of a global attractor for a coupled κ-dimensional lattice dynamical system governed by a discrete version of the Klein-Gordon-SchrSdinger Equation. An estimate of the upper b... In this paper, we establish the existence of a global attractor for a coupled κ-dimensional lattice dynamical system governed by a discrete version of the Klein-Gordon-SchrSdinger Equation. An estimate of the upper bound of the Kohnogorov ε-entropy of the global attractor is made by a method of element decomposition and the covering property of a polyhedron by balls of radii ε in a finite dimensional space. Finally, a scheme to approximate the global attractor by the global attractors of finite-dimensional ordinary differential systems is presented . 展开更多
关键词 Global attractor lattice dynamical system element decomposition Kolmogorov ε-entropy upper semicontinuity
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Asymptotic Estimates on the Time Derivative of Φ-entropy on Riemannian Manifolds
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作者 Bin QIAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第4期609-618,共10页
In this note, we obtain an asymptotic estimate for the time derivative of the O-entropy in terms of the lower bound of the Bakry-Emery F2 curvature. In the cases of hyperbolic space and the Heisenberg group (more gen... In this note, we obtain an asymptotic estimate for the time derivative of the O-entropy in terms of the lower bound of the Bakry-Emery F2 curvature. In the cases of hyperbolic space and the Heisenberg group (more generally, the nilpotent Lie group of rank two), we show that the time derivative of the O-entropy is non-increasing and concave in time t, also we get a sharp asymptotic bound for the time derivative of the entropy in these cases. 展开更多
关键词 Ф-entropy CURVATURE heat kernel hyperbolic space
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一种面向医学图像非刚性配准的多维特征度量方法 被引量:7
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作者 陆雪松 涂圣贤 张素 《自动化学报》 EI CSCD 北大核心 2016年第9期1413-1420,共8页
医学图像的非刚性配准对于临床的精确诊疗具有重要意义.待配准图像对中目标的大形变和灰度分布呈各向异性给非刚性配准带来困难.本文针对这个问题,提出基于多维特征的联合Renyiα-entropy度量结合全局和局部特征的非刚性配准算法.首先,... 医学图像的非刚性配准对于临床的精确诊疗具有重要意义.待配准图像对中目标的大形变和灰度分布呈各向异性给非刚性配准带来困难.本文针对这个问题,提出基于多维特征的联合Renyiα-entropy度量结合全局和局部特征的非刚性配准算法.首先,采用最小距离树构造联合Renyiα-entropy,建立多维特征度量新方法.然后,演绎出新度量准则相对于形变模型参数的梯度解析表达式,采用随机梯度下降法进行参数寻优.最终,将图像的Canny特征和梯度方向特征融入新度量中,实现全局和局部特征相结合的非刚性配准.通过在36对宫颈磁共振(Magnetic resonance,MR)图像上的实验,该方法的配准精度相比较于传统互信息法和互相关系数法有明显提高.这也表明,这种度量新方法能克服因图像局部灰度分布不一致造成的影响,一定程度地减少误匹配,为临床的精确诊疗提供科学依据. 展开更多
关键词 非刚性配准 联合Renyiα-entropy 最小距离树 局部特征 自由形变模型
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基于快速最小距离树的肝脏图像非刚性配准 被引量:3
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作者 陆雪松 刘坤 谢勤岚 《中南民族大学学报(自然科学版)》 CAS 2018年第3期48-52,67,共6页
为精确诊疗肝脏疾病,针对CT肝脏图像中呈现出与相邻器官灰度值相似、边界不清晰,仅靠灰度水平法难获得理想的分割结果的问题,采用快速最小距离树度量多维特征,构造了Renyiα-entropy能量函数,成功完成了atlas和待分割图像之间的非刚性配... 为精确诊疗肝脏疾病,针对CT肝脏图像中呈现出与相邻器官灰度值相似、边界不清晰,仅靠灰度水平法难获得理想的分割结果的问题,采用快速最小距离树度量多维特征,构造了Renyiα-entropy能量函数,成功完成了atlas和待分割图像之间的非刚性配准,实现了肝脏的自动精准分割.该方法的分割精度较传统互信息法明显提高,较传统Prim算法分割速度更快. 展开更多
关键词 肝脏分割 非刚性配准 最小距离树 联合Renyiα-entropy
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An Enhanced Automated Signature Generation Algorithm for Polymorphic Malware Detection
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作者 Ke Tang Ming-Tian Zhou Zhi-Hong Zuo 《Journal of Electronic Science and Technology》 CAS 2010年第2期114-121,共8页
Polymorphic malware is a secure menace for application of computer network systems because hacker can evade detection and launch stealthy attacks. In this paper, a novel enhanced automated signature generation (EASG... Polymorphic malware is a secure menace for application of computer network systems because hacker can evade detection and launch stealthy attacks. In this paper, a novel enhanced automated signature generation (EASG) algorithm to detect polymorphic malware is proposed. The EASG algorithm is composed of enhanced-expectation maximum algorithm and enhanced K-means clustering algorithm. In EASG algorithm, the fixed threshold value is replaced by the decision threshold of interval area. The false positive ratio can be controlled at low level, and the iterative operations and the execution time are effectively reduced. Moreover, the centroid updating is realized by application of similarity metric of Mahalanobis distance and incremental learning. Different malware group families are partitioned by the centroid updating. 展开更多
关键词 Index Terms -entropy false positive ratio Mahalanobis distance polymorphie malware signature generation.
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New Definition and Properties of Fuzzy Entropy
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作者 卿铭 秦应兵 《Journal of Southwest Jiaotong University(English Edition)》 2006年第4期404-407,共4页
Let X = (x1 ,x2 ,…… ,xn ) and F(X) be a fuzzy set on a universal set X. A new def'mition of fuzzy entropy about a fuzzy set A on F(X), e^*' , is defined based on the order relation "≤" on [ 0,1/2 ]^n. It... Let X = (x1 ,x2 ,…… ,xn ) and F(X) be a fuzzy set on a universal set X. A new def'mition of fuzzy entropy about a fuzzy set A on F(X), e^*' , is defined based on the order relation "≤" on [ 0,1/2 ]^n. It is proved that e^* is a σ-entropy under an additional requirement. Besides, some entropy formulas are presented and related properties are discussed. 展开更多
关键词 Fuzzy entropy σ-entropy Fuzzy set
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Attractor for Lattice System of Dissipative Zakharov Equation 被引量:4
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作者 Fu Qi YIN Sheng Fan ZHOU +1 位作者 Zi Gen OUYANG Cui Hui XIAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第2期321-342,共22页
We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimat... We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused by the lack of Sobolev compact embedding under infinite lattice system, and prove the existence of the global attractor; then by using element decomposition and the covering property of a polyhedron in the finite-dimensional space, we obtain an upper bound for the Kolmogorov ε-entropy of the global attractor; finally, we present the upper semicontinuity of the global attractor. 展开更多
关键词 Zakharov Equation global attractor infinite lattice system Kolmogorov ε-entropy uppersemicontinuity
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Long-term Analysis of Degenerate Parabolic Equations in R^N
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作者 Gao Cheng YUE Cheng Kui ZHONG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第3期383-410,共28页
Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space RN is considered. By using-tra jectories methods, we proved that weak solutions generated by d... Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space RN is considered. By using-tra jectories methods, we proved that weak solutions generated by degenerate equations possess an(LU^2(R^N), Lloc^2(R^N))-global attractor.Moreover, the upper bounds of the Kolmogorov ε-entropy for such global attractor are also obtained. 展开更多
关键词 Degenerate parabolic equations unbounded domains locally uniform spaces global attractor Kolmogorov ε-entropy
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