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Dense Fractal Networks, Trends, Noises and Switches in Homeostasis Regulation of Shannon Entropy for Chromosomes’ Activity in Living Cells for Medical Diagnostics
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作者 Nikolay E. Galich 《Applied Mathematics》 2013年第11期30-41,共12页
We analyze correlations and patterns of oxidative activity of 3D DNA at DNA fluorescence in complete sets of chromosomes in neutrophils of peripheral blood. Fluorescence of DNA is registered by method of flow cytometr... We analyze correlations and patterns of oxidative activity of 3D DNA at DNA fluorescence in complete sets of chromosomes in neutrophils of peripheral blood. Fluorescence of DNA is registered by method of flow cytometry with nanometer spatial resolution. Experimental data present fluorescence of many ten thousands of cells, from different parts of body in each population, in various blood samples. Data is presented in histograms as frequency distributions of flashes in the dependence on their intensity. Normalized frequency distribution of information in these histograms is used as probabilistic measure for definition of Shannon entropy. Data analysis shows that for this measure of Shannon entropy common sum of entropy, i.e. total entropy E, for any histogram is invariant and has identical trends of changes all values of E (r) = lnr at reduction of rank r of histogram. This invariance reflects informational homeostasis of chromosomes activity inside cells in multi-scale networks of entropy, for varied ranks r. Shannon entropy in multi-scale DNA networks has much more dense packing of correlations than in “small world” networks. As the rule, networks of entropy differ by the mix of normal D 2 and abnormal D > 2 fractal dimensions for varied ranks r, the new types of fractal patterns and hinges for various topology (fractal dimension) at different states of health. We show that all distributions of information entropy are divided on three classes, which associated in diagnostics with a good health or dominants of autoimmune or inflammatory diseases. This classification based on switching of stability at transcritical bifurcation in homeostasis regulation. We defined many ways for homeostasis regulation, coincidences and switching patterns in branching sequences, the averages of H&ouml;lder for deviations of entropy from homeostasis at different states of health, with various saturation levels the noises of entropy at activity of all chromosomes in support regulation of homeostasis. 展开更多
关键词 Abnormal fractals DNA ACTIVITY and Shannon Information ENTROPY fractal Patterns and Fragmentation Informational HOMEOSTASIS Saturations of CHROMOSOMAL Correlations Multi-Scale fractal networkS of Shannon ENTROPY
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Fractal Networks of Real Worlds of Fluorescing DNA in Complete Set of Chromosomes inside Blood Cells for Medical Diagnostics
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作者 Nikolay E. Galich 《Open Journal of Biophysics》 2013年第4期232-244,共13页
We analyze fluorescence due to oxidizing activity of DNA in neutrophils of peripheral blood in the large populations ~104 - 105 of cells. Fluorescence is registered by flow cytometry method. Spatial resolution is abou... We analyze fluorescence due to oxidizing activity of DNA in neutrophils of peripheral blood in the large populations ~104 - 105 of cells. Fluorescence is registered by flow cytometry method. Spatial resolution is about a few nanometers for varied complex three-dimensional (3D) DNA nanostructures of all non-coding and coding parts of DNA. It’s shown that oxidative activity of all 3D DNA in the full set of chromosomes inside cells is defined by new standards for complex networks of “exponentially small worlds”, with more dense packing than in the well known networks of “small worlds”. Analysis of various blood samples in vivo and during medical treatment shown that only two classes of Good and Bad Networks of DNA for a good and a bad health existed. This division is defined by any network to one from two classes of “n” or “s” shaped curves for typical deviations and from straight line in perfect networks of “exponentially small worlds”, as for two types of hysteresis curves at phase transitions or at switching of bistability. These deviations coincide with two types of positive and negative trends of changing fractal dimension by changing the scales of multi-scale networks of fluorescing DNA. These trends give the overall assessments of human immunity, including hidden and unidentified diseases, and as a sum of all kinds of health and illness of given person, from the point of view the inner life of neutrophils, living in different parts of human body in given time. Characteristics of deviations associated with type, level and complexity of illness in the dependence on 展开更多
关键词 Abnormal fractals in DNA ACTIVITY Complex networkS of 3D-DNA Diagnostics and Hysteresis in fractal networkS of DNA DNA Packing networkS of “Exponentially Small Worlds” Shannon-Weaver Biodiversity of DNA ACTIVITY INSIDE Cells
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Research on the Eigentime and Related Problems of theCorresponding Fractal Network of Sierpiński Fractal Antenna
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作者 PENG Yulu HUANG Yuke 《中国应用数学通报》 2025年第2期10-18,共9页
This paper studies the eigentime and related issues in the fractal network corresponding to the Sierpiński fractal antenna.The access time or hitting time H(i,j)is the expected number of steps before node j is visite... This paper studies the eigentime and related issues in the fractal network corresponding to the Sierpiński fractal antenna.The access time or hitting time H(i,j)is the expected number of steps before node j is visited,starting from node i.The eigentime of G is the expectation of H(i,j)for all i,j∈G.Classical eigenvalue method let H(i,i)=0.However,when studying the random walk behavior of electrons in fractal networks corresponding to fractal antennas,it is nec-essary to consider the time when electrons leave a certain node and first return to that node(self return time).This paper adopts two research methods-the eigenvalue method based on spectral theory and the Markov chain method based on stochastic process theory-to obtain the modified in-trinsic time,and demonstrates through an example that the difference between the classical intrin-sic time and the modified intrinsic time is precisely due to the self return time.This paper shows the applications of fractal networks in modern communications.The research results are expected to provide a theoretical basis for the design and performance optimization of fractal antennas. 展开更多
关键词 Sierpiński fractal antenna fractal network random walk eigentime Markov Chain
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FractalNet-LSTM Model for Time Series Forecasting
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作者 Nataliya Shakhovska Volodymyr Shymanskyi Maksym Prymachenko 《Computers, Materials & Continua》 2025年第3期4469-4484,共16页
Time series forecasting is important in the fields of finance,energy,and meteorology,but traditional methods often fail to cope with the complex nonlinear and nonstationary processes of real data.In this paper,we prop... Time series forecasting is important in the fields of finance,energy,and meteorology,but traditional methods often fail to cope with the complex nonlinear and nonstationary processes of real data.In this paper,we propose the FractalNet-LSTM model,which combines fractal convolutional units with recurrent long short-term memory(LSTM)layers to model time series efficiently.To test the effectiveness of the model,data with complex structures and patterns,in particular,with seasonal and cyclical effects,were used.To better demonstrate the obtained results and the formed conclusions,the model performance was shown on the datasets of electricity consumption,sunspot activity,and Spotify stock price.The result showed that the proposed model outperforms traditional approaches at medium forecasting horizons and demonstrates high accuracy for data with long-term and cyclical dependencies.However,for financial data with high volatility,the model’s efficiency decreases at long forecasting horizons,indicating the need for further adaptation.The findings suggest further adaptation.The findings suggest that integrating fractal properties into neural network architecture improves the accuracy of time series forecasting and can be useful for developing more accurate and reliable forecasting systems in various industries. 展开更多
关键词 Time series fractal neural networks forecasting LSTM fractalNet
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Hierarchically structured 2D silver sheets with fractal network 被引量:1
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作者 Aasim Shahzad Suk Ho Bhang +2 位作者 Euiyoung Jung Woo-Sik Kim Taekyung Yu 《Journal of Materiomics》 SCIE EI 2018年第2期121-128,共8页
Oriented attachment can be used as a good synthetic route to make highly anisotropic nanostructures including nanorod,nanowire,nanoplate,and nanosheets.In a typical growth of anisotropic nanostructures,coalescence and... Oriented attachment can be used as a good synthetic route to make highly anisotropic nanostructures including nanorod,nanowire,nanoplate,and nanosheets.In a typical growth of anisotropic nanostructures,coalescence and reshaping after attachment make dense nanostructures.In this report,we show the formation of Ag sheets having fractal network by oriented attachment at low reaction temperature of 30℃.The synthesized Ag sheets exhibited good crystalline nature despite of their network structure and low synthetic temperature.We also investigated the effect of reaction conditions for the formation of the Ag sheets.In addition,using the Ag sheets as a sacrificial template,we could make hollow Au sheets via galvanic replacement. 展开更多
关键词 Ag sheets fractal network Oriented attachment AQUEOUS-PHASE Au sheets Galvanic replacement
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Relationships Between Fractal Road and Drainage Networks in Wuling Mountainous Area:Another Symmetric Understanding of Human-Environment Relations 被引量:2
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作者 LIU Cheng-liang DUAN De-zhong ZHANG Hong 《Journal of Mountain Science》 SCIE CSCD 2014年第4期1060-1069,共10页
Symmetrical relationships between humans and their environment have been referred to as an extension of symmetries in the human geographical system and have drawn great attention. This paper explored the symmetry betw... Symmetrical relationships between humans and their environment have been referred to as an extension of symmetries in the human geographical system and have drawn great attention. This paper explored the symmetry between physical and human systems through fractal analysis of the road and drainage networks in Wuling mountainous area. We found that both the road and drainage networks reflect weak clustering distributions. The evolution of the road network shared a significant self-organizing composition, while the drainage network showed obvious double fraetal characteristics. The geometric fractal dimension of the road network was larger than that of the drainage network. In addition, when assigned a weight relating to hierarchy or length, neither the road network nor drainage network showed a fractal property. These findings indicated that the fractal evolution of the road network shared certain similarities with fractal distribution of the drainage network. The symmetry between the two systems resulted from an interactive process of destroying symmetry at the lower order and reconstructing symmetry at the higher order. The relationships between the fractal dimensions of the rural-urban road network, the drainage network andthe urban system indicated that the development of this area was to achieve the symmetrical isomorphism of physical-human geographical systems. 展开更多
关键词 fractal road network fractal drainagenetwork SYMMETRY Human-environment relation SELF-ORGANIZATION
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A smart productivity evaluation method for shale gas wells based on 3D fractal fracture network model 被引量:2
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作者 WEI Yunsheng WANG Junlei +4 位作者 YU Wei QI Yadong MIAO Jijun YUAN He LIU Chuxi 《Petroleum Exploration and Development》 CSCD 2021年第4期911-922,共12页
The generation method of three-dimensional fractal discrete fracture network(FDFN)based on multiplicative cascade process was developed.The complex multi-scale fracture system in shale after fracturing was characteriz... The generation method of three-dimensional fractal discrete fracture network(FDFN)based on multiplicative cascade process was developed.The complex multi-scale fracture system in shale after fracturing was characterized by coupling the artificial fracture model and the natural fracture model.Based on an assisted history matching(AHM)using multiple-proxy-based Markov chain Monte Carlo algorithm(MCMC),an embedded discrete fracture modeling(EDFM)incorporated with reservoir simulator was used to predict productivity of shale gas well.When using the natural fracture generation method,the distribution of natural fracture network can be controlled by fractal parameters,and the natural fracture network generated coupling with artificial fractures can characterize the complex system of different-scale fractures in shale after fracturing.The EDFM,with fewer grids and less computation time consumption,can characterize the attributes of natural fractures and artificial fractures flexibly,and simulate the details of mass transfer between matrix cells and fractures while reducing computation significantly.The combination of AMH and EDFM can lower the uncertainty of reservoir and fracture parameters,and realize effective inversion of key reservoir and fracture parameters and the productivity forecast of shale gas wells.Application demonstrates the results from the proposed productivity prediction model integrating FDFN,EDFM and AHM have high credibility. 展开更多
关键词 fractal discrete fracture network multiplicative cascade process embedded discrete fracture model intelligent history matching reservoir parameter inversion shale gas smart productivity evaluation
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Coordination and evolution mechanism of fractal crack network in mining rock mass destruction 被引量:1
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作者 YU Guang-ming~1, ZHANG Chun-hui~2 (1. Qingdao Institute of Architecture and Engineering, Qingdao 266033, China 2. Liaoning Technical University, Fuxin 123000, China) 《中国有色金属学会会刊:英文版》 CSCD 2005年第S1期105-107,共3页
Based on the natural characters of stratum, complicated geological mining conditions and the essence of mining rock mass destruction, the complexity of rock mass destruction caused by miningw as analyzed. The inner li... Based on the natural characters of stratum, complicated geological mining conditions and the essence of mining rock mass destruction, the complexity of rock mass destruction caused by miningw as analyzed. The inner link between rock mass destruction phenomena caused by mining and nonlinear science was revealed. There are numerous cracks in natural rock mass. The cracks’ distribution is irregular and is of statistical fractal structure. Self-organizational nonlinear evolution of the inner structure flaws leads to the rock mass destruction with external force. The evolution includes single fault’s fractal development, formation and evolution of fractal crack network and coordination of fractal crack network, etc. The law of fractal crack network’s evolution was introduced, at the same time, the coordination of fractal crack network was analyzed. Finally, based on coordination the principal equation of mining-caused subsidence of structural rock mass was established and its steady-state solution and unsteady-state solution were found. 展开更多
关键词 the complexity of rock mass DESTRUCTION fractal CRACK network COORDINATION
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Improve Fractal Compression Encoding Speed Using Feature Extraction and Self-organization Network 被引量:1
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作者 Berthe Kya, Yang Yang Information Engineering School. University of Science and Technology Beijing. Beijing 100083. China 《Journal of University of Science and Technology Beijing》 CSCD 2001年第4期306-310,共5页
Image compression consists of two main parts: encoding and decoding. One of the important problems of the fractal theory is the long encoding implementation time, which hindered the acceptance of fractal image compres... Image compression consists of two main parts: encoding and decoding. One of the important problems of the fractal theory is the long encoding implementation time, which hindered the acceptance of fractal image compression as a practical method. The long encoding time results from the need to perform a large number of domain-range matches, the total encoding time is the product of the number of matches and the time to perform each match. In order to improve encoding speed, a hybrid method combining features extraction and self-organization network has been provided, which is based on the feature extraction approach the comparison pixels by pixels between the feature of range blocks and domains blocks. The efficiency of the new method was been proved by examples. 展开更多
关键词 image compression fractal theory features extraction self-organization network fractal encoding
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Study on the phase transition of the fractal scale-free networks
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作者 Qing-Kuan Meng Dong-Tai Feng +4 位作者 Yu-Ping Sun Ai-Ping Zhou Yan Sun Shu-Gang Tan Xu-Tuan Gao 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第10期512-517,共6页
Based on the Ising spin, the phase transition on fractal scale-free networks with tree-like skeletons is studied, where the loops are generated by local links. The degree distribution of the tree-like skeleton satisfi... Based on the Ising spin, the phase transition on fractal scale-free networks with tree-like skeletons is studied, where the loops are generated by local links. The degree distribution of the tree-like skeleton satisfies the power-law form P(k)~ k^-δ.It is found that when δ≥3, the renormalized scale-free network will have the same degree distribution as the original network. For a special case of δ = 4.5, a ferromagnetic to paramagnetic transition is found and the critical temperature is determined by the box-covering renormalization method. By keeping the structure of the fractal scale-free network constant, the numerical relationship between the critical temperature and the network size is found, which is the form of power law. 展开更多
关键词 fractal scale-free network phase transition RENORMALIZATION
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Fractal Analysis of Mobile Social Networks
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作者 郑巍 潘倩 +3 位作者 孙晨 邓宇凡 赵小康 康钊 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第3期142-145,共4页
Fractal and self similarity of complex networks have attracted much attention in recent years. The fractal dimension is a useful method to describe the fractal property of networks. However, the fractal features of mo... Fractal and self similarity of complex networks have attracted much attention in recent years. The fractal dimension is a useful method to describe the fractal property of networks. However, the fractal features of mobile social networks (MSNs) are inadequately investigated. In this work, a box-covering method based on the ratio of excluded mass to closeness centrality is presented to investigate the fractal feature of MSNs. Using this method, we find that some MSNs are fractal at different time intervals. Our simulation results indicate that the proposed method is available for analyzing the fractal property of MSNs. 展开更多
关键词 of MSNs fractal Analysis of Mobile Social networks in IS NODE
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Performance-based fractal fracture model for complex fracture network simulation 被引量:1
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作者 Wen-Dong Wang Yu-Liang Su +2 位作者 Qi Zhang Gang Xiang Shi-Ming Cui 《Petroleum Science》 SCIE CAS CSCD 2018年第1期126-134,共9页
The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal co... The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal conjugate fractures for representing the ''complexity'' of the network. Bifurcation of fractures is performed utilizing the Lindenmayer system based on fractal geometry to describe the fracture propagation pattern, density and network connectivity. Four controlling parameters are proposed to describe the details of complex fractures and stimulated reservoir volume(SRV). The results show that due to the multilevel feature of fractal fractures, the model could provide a simple method for contributing reservoir volume calibration. The primary-and second-stage fracture networks across the overall SRV are the main contributions to the production, while the induced fracture network just contributes another 20% in the late producing period. We also conduct simulation with respect to different refracturing cases and find that increasing the complexity of the fracture network provides better performance than only enhancing the fracture conductivity. 展开更多
关键词 fractal geometry fractal fracture model Complex fracture network characterization Contributing reservoirvolume REFRACTURING
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MULTISCALE IMAGE SEGMENTATION USING FRACTAL AND NEURAL NETWORK
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作者 Yang Shaoguo Yin Zhongke Luo Bingwei (University of Electronic Science and Technology of China, Chengdu 610054) 《Journal of Electronics(China)》 1999年第4期299-304,共6页
Clustering algorithms in feature space are important methods in image segmentation. The choice of the effective feature parameters and the construction of the clustering method are key problems encountered with cluste... Clustering algorithms in feature space are important methods in image segmentation. The choice of the effective feature parameters and the construction of the clustering method are key problems encountered with clustering algorithms. In this paper, the multifractal dimensions are chosen as the segmentation feature parameters which are extracted from original image and wavelet-transformed image. SOM (Self-Organizing Map) network is applied to cluster the segmentation feature parameters. The experiment shows that the performance of the presented algorithm is very good. 展开更多
关键词 fractal WAVELET TRANSFORM NEURAL network Image SEGMENTATION
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基于VRA-UNet网络的煤岩组合体裂隙识别与三维重构 被引量:2
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作者 王登科 王龙航 +6 位作者 秦亚光 位乐 曹塘根 李文睿 李璐 陈旭 夏玉玲 《煤炭科学技术》 北大核心 2025年第2期96-108,共13页
在煤岩组合体裂隙三维重构中,针对传统阈值分割方法无法准确确定煤岩之间的阈值大小从而导致裂隙分割效果不佳的问题,基于深度学习理论提出了一种新型VRA-UNet煤岩组合体裂隙精确识别模型,为煤岩组合体裂隙精确识别提供了一种优化解决... 在煤岩组合体裂隙三维重构中,针对传统阈值分割方法无法准确确定煤岩之间的阈值大小从而导致裂隙分割效果不佳的问题,基于深度学习理论提出了一种新型VRA-UNet煤岩组合体裂隙精确识别模型,为煤岩组合体裂隙精确识别提供了一种优化解决方案。为了提升模型的泛化能力和防止初始化模型参数过于随机,使用VGG16模块作为骨干特征提取网络。针对煤岩组合体裂隙拓扑结构复杂,非均匀性强等问题,在上采样部分引入使用残差连接且具有空间维度和通道维度的注意力模块(ResCBAM)增强模型特征提取能力,缓解模型梯度消失的问题。在下采样的末端加入了利用不同尺度卷积核的非对称空洞金字塔模块(AC-ASPP),通过多尺度的特征提取,提高模型对不同大小裂隙的识别能力。同时,利用煤岩组合体CT扫描图像数据集验证了模型的有效性。研究结果表明:VRA-UNet模型在裂隙提取和识别方面性能良好,平均交并比、像素平均值及识别精度分别为85.22%、90.80%和91.95%;与主流的分割网络UNet、PSPNet、DeeplabV3+、FCN和SegNet相比,VRA-UNet模型的平均交并比分别提高了6.05%、16.7%、10.77%、6.87%和6.4%,像素平均值分别提高了7.13%、13.29%、12.84%、7.4%和7.53%,识别精度分别提高了3.82%、14.45%、7.4%、5.58%和4.31%;VRA-UNet识别出的裂隙结构分形维数与原始CT扫描裂隙结构分形维数保持了良好的一致性,真实还原了煤岩组合体内部裂隙结构的分布特征。 展开更多
关键词 煤岩组合体 裂隙识别 裂隙重构 卷积神经网络 分形维数
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非线性化学现象在催化剂设计中的研究进展
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作者 卢新宁 高艳妮 +2 位作者 余浩 华德润 李剑 《石油化工》 北大核心 2025年第7期1032-1044,共13页
深入研究非线性化学现象有助于突破传统化学动力学的限制,发现新的反应路径和机制。将非线性化学现象应用于催化剂设计中,可以开发出新的催化材料和制备工艺。对非线性化学现象中的图灵结构、分形结构、神经网络等在催化剂设计中的应用... 深入研究非线性化学现象有助于突破传统化学动力学的限制,发现新的反应路径和机制。将非线性化学现象应用于催化剂设计中,可以开发出新的催化材料和制备工艺。对非线性化学现象中的图灵结构、分形结构、神经网络等在催化剂设计中的应用进行了综述。在催化剂设计中,非线性化学可用于指导催化剂的配方、确定工艺参数、明确催化剂构型与活性关系等。随着非线性科学理论和实验技术的进步,通过对非线性化学的几何结构、二维和三维结构、拓扑结构等的深层认识,非线性化学有望成为突破催化剂设计瓶颈的重要方向。 展开更多
关键词 非线性化学 图灵 分形 神经网络 催化剂设计
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结合四叉树结构与尺度估计的遥感影像分类算法
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作者 范强 魏宇 栾晓泽 《大气与环境光学学报》 2025年第2期211-224,共14页
面向对象影像分析方法因具有考虑对象光谱及形状信息等优势,成为高分辨率遥感影像分类的主流方法。影像分割是面向对象影像分析方法的重要步骤,决定着影像分类的精度。同一影像存在多种地物特征,单一的分割尺度将会造成影像欠分割或错... 面向对象影像分析方法因具有考虑对象光谱及形状信息等优势,成为高分辨率遥感影像分类的主流方法。影像分割是面向对象影像分析方法的重要步骤,决定着影像分类的精度。同一影像存在多种地物特征,单一的分割尺度将会造成影像欠分割或错分割的现象,因此需要不同的影像分割尺度。本文以分形网络演化算法为例,提出结合四叉树结构与尺度估计的遥感影像分类算法。该算法首先利用四叉树结构均匀检测分割的特点划分影像区域,继而通过统计平均局部方差的空间分割尺度估计方法以及统计局部方差直方图的属性分割尺度估计方法实现各区域分割尺度定量估计,从而采用分形网络演化算法对各区域影像进行多尺度分割。最后,通过目视解译确定训练样本,使用最邻近监督分类法实现影像分类。实验结果表明,本文提出的算法相较于经典面向对象分类算法,分类精度提升了1.2%,Kappa系数提升了0.036,且可有效避免由错分割与欠分割现象导致的线状地物提取断裂、分类错误的问题。 展开更多
关键词 四叉树结构 尺度估计 多尺度分割 分形网络演化算法 监督分类
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基于空时分形的网络流量认知模型
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作者 汤萍萍 张晖 +1 位作者 董育宁 董国青 《通信学报》 北大核心 2025年第5期258-271,共14页
为解决传统分形特征在网络流量认知精度和速度上难以兼具的问题,以分形理论为基础提出网络流量空时分离思想并创建空时分形特征,以此设计一种新型的流量认知模型——空时分形模型(SFM)。空时分形观测空间序列和时间序列,然后基于勒让德... 为解决传统分形特征在网络流量认知精度和速度上难以兼具的问题,以分形理论为基础提出网络流量空时分离思想并创建空时分形特征,以此设计一种新型的流量认知模型——空时分形模型(SFM)。空时分形观测空间序列和时间序列,然后基于勒让德变换建立向量再折射到对偶空间形成特征。空时分形的物理含义在于从不同空间和时间尺度上获得数据突发特征,而传统分形是空时分形在空间和时间维度上的特征融合,空时分形相比传统分形刻画出更多细节特征,以此进行流量认知更为精准。此外,空时分形相比传统分形更易计算,使SFM在增强认知精度的同时提升认知速度。实验数据显示,SFM的认知性能优于其他方法。 展开更多
关键词 网络流量 认知精度 认知速度 分形理论
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基于K-shell的复杂网络簇生长维数研究 被引量:1
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作者 张耀波 张胜 +1 位作者 王雨萱 熊聪源 《复杂系统与复杂性科学》 北大核心 2025年第1期11-17,共7页
传统簇生长法时间复杂度高、对分形标度关系刻画不够精准,且关键节点在控制网络结构和功能方面具有重要作用。为选择具有代表性的节点来分析网络自相似分形问题,提出一种基于K-shell的复杂网络簇生长法,通过K-shell分解和节点信息熵选... 传统簇生长法时间复杂度高、对分形标度关系刻画不够精准,且关键节点在控制网络结构和功能方面具有重要作用。为选择具有代表性的节点来分析网络自相似分形问题,提出一种基于K-shell的复杂网络簇生长法,通过K-shell分解和节点信息熵选取核心层最具影响力节点作为簇生长法的种子节点计算网络的分形维数。实验结果表明所提方法对网络的分形性质刻画得更加细致,能够计算出更加准确的分形维数。 展开更多
关键词 复杂网络 分形 K-SHELL 分形维数 簇生长法
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基于不平衡样本数据的轴承故障诊断模型与方法研究 被引量:1
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作者 张伟业 缪维跑 +1 位作者 苏欢欢 李春 《动力工程学报》 北大核心 2025年第6期904-912,共9页
为解决滚动轴承不平衡样本的诊断问题,提出了将条件生成对抗网络与多尺度注意力机制卷积神经网络相融合的诊断方法,通过该方法填充不平衡样本,采用分形盒维数筛选最佳生成样本,输入多尺度注意力机制卷积神经网络完成故障特征提取,并与... 为解决滚动轴承不平衡样本的诊断问题,提出了将条件生成对抗网络与多尺度注意力机制卷积神经网络相融合的诊断方法,通过该方法填充不平衡样本,采用分形盒维数筛选最佳生成样本,输入多尺度注意力机制卷积神经网络完成故障特征提取,并与原不平衡数据和传统样本填充方法进行对比。结果表明:所提方法有较高的识别准确率,可扩充小样本故障数据,有效解决不平衡数据下轴承故障分类问题。 展开更多
关键词 轴承 卷积神经网络 分形盒维数 条件生成对抗网络 故障诊断
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考虑裂纹分形维数的平行黏结模型细观参数标定的神经网络模型
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作者 龚囱 戚燕顺 +4 位作者 缪浩杰 肖琦 熊良锋 曾鹏 赵奎 《岩土力学》 北大核心 2025年第1期327-336,共10页
针对试错法在平行黏结模型细观参数标定过程中存在繁琐耗时,且无法定量评价数值模拟与室内试验的裂纹匹配程度等局限性,统计并分析了近10年平行黏结模型细观参数取值范围,采用盒计数法获取了数值模拟试验、室内试验所得破坏后岩石表面... 针对试错法在平行黏结模型细观参数标定过程中存在繁琐耗时,且无法定量评价数值模拟与室内试验的裂纹匹配程度等局限性,统计并分析了近10年平行黏结模型细观参数取值范围,采用盒计数法获取了数值模拟试验、室内试验所得破坏后岩石表面裂纹分形维数。在此基础上,建立了以宏观弹性模量、宏观泊松比、峰值强度和裂纹分形维数等4个参数为输入层,黏结弹性模量、黏结法向与切向刚度比、黏结内聚力、黏结内摩擦角、黏结抗拉强度和摩擦系数等6个细观参数为输出层的神经网络模型,对比分析了考虑与不考虑裂纹分形维数时平行黏结模型细观参数标定效果。研究结果表明:(1)所建立的神经网络模型具有较好的收敛速度、预测精度与泛化性能,测试集输出数据与期望值误差约为3.34%。(2)将裂纹分形维数纳入神经网络模型后,数值模拟所得弹性模量、峰值应力与泊松比等宏观参数与室内试验结果的误差小于3.00%,优于不考虑裂纹分形维数标定结果。(3)该方法可定量保障数值模拟所得裂纹不规则性与室内试验结果的一致性,其在一定程度上可视为对现有神经网络模型细观参数标定结果的修正。研究成果可为提高平行黏结模型细观参数标定效果提供新思路。 展开更多
关键词 分形维数 颗粒流 平行黏结模型 参数标定 神经网络
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