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Infrared small target detection algorithm via partial sum of the tensor nuclear norm and direction residual weighting
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作者 SUN Bin XIA Xing-Ling +1 位作者 FU Rong-Guo SHI Liang 《红外与毫米波学报》 北大核心 2025年第2期277-288,共12页
Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small targe... Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small target detection method based on the tensor nuclear norm and direction residual weighting was proposed.Based on converting the infrared image into an infrared patch tensor model,from the perspective of the low-rank nature of the background tensor,and taking advantage of the difference in contrast between the background and the target in different directions,we designed a double-neighborhood local contrast based on direction residual weighting method(DNLCDRW)combined with the partial sum of tensor nuclear norm(PSTNN)to achieve effective background suppression and recovery of infrared small targets.Experiments show that the algorithm is effective in suppressing the background and improving the detection ability of the target. 展开更多
关键词 infrared small target detection infrared patch tensor model partial sum of the tensor nuclear norm direction residual weighting
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A Class of Parallel Algorithm for Solving Low-rank Tensor Completion
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作者 LIU Tingyan WEN Ruiping 《应用数学》 北大核心 2025年第4期1134-1144,共11页
In this paper,we established a class of parallel algorithm for solving low-rank tensor completion problem.The main idea is that N singular value decompositions are implemented in N different processors for each slice ... In this paper,we established a class of parallel algorithm for solving low-rank tensor completion problem.The main idea is that N singular value decompositions are implemented in N different processors for each slice matrix under unfold operator,and then the fold operator is used to form the next iteration tensor such that the computing time can be decreased.In theory,we analyze the global convergence of the algorithm.In numerical experiment,the simulation data and real image inpainting are carried out.Experiment results show the parallel algorithm outperform its original algorithm in CPU times under the same precision. 展开更多
关键词 tensor completion Low-rank CONVERGENCE Parallel algorithm
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三维稳态Q-tensor液晶流系统各向异性的Liouville型定理
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作者 胡立立 曹志杰 别群益 《应用数学》 北大核心 2024年第3期629-635,共7页
考虑速度分量的各向异性进行能量估计,得到三维稳态Q-tensor液晶流系统的Liouville型定理,即若u∈L^(q)(R^(3))∩˙H^(1)(R^(3)),u_(i)∈L xi q/q−2 L s xei(R×R^(2))(i=1,2,3),且Q∈H^(2)(R^(3)),其中2/q+1/s≥1/2,1≤s≤∞,2<... 考虑速度分量的各向异性进行能量估计,得到三维稳态Q-tensor液晶流系统的Liouville型定理,即若u∈L^(q)(R^(3))∩˙H^(1)(R^(3)),u_(i)∈L xi q/q−2 L s xei(R×R^(2))(i=1,2,3),且Q∈H^(2)(R^(3)),其中2/q+1/s≥1/2,1≤s≤∞,2<q<∞,则该稳态系统只有平凡解.这个结论推广了已有的结果. 展开更多
关键词 LIOUVILLE型定理 液晶流 各向异性 Q-tensor
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Research on infrared dim and small target detection algorithm based on low-rank tensor recovery
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作者 LIU Chuntong WANG Hao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第4期861-872,共12页
In order to rapidly and accurately detect infrared small and dim targets in the infrared image of complex scene collected by virtual prototyping of space-based downward-looking multiband detection,an improved detectio... In order to rapidly and accurately detect infrared small and dim targets in the infrared image of complex scene collected by virtual prototyping of space-based downward-looking multiband detection,an improved detection algorithm of infrared small and dim target is proposed in this paper.Firstly,the original infrared images are changed into a new infrared patch tensor mode through data reconstruction.Then,the infrared small and dim target detection problems are converted to low-rank tensor recovery problems based on tensor nuclear norm in accordance with patch tensor characteristics,and inverse variance weighted entropy is defined for self-adaptive adjustment of sparseness.Finally,the low-rank tensor recovery problem with noise is solved by alternating the direction method to obtain the sparse target image,and the final small target is worked out by a simple partitioning algorithm.The test results in various spacebased downward-looking complex scenes show that such method can restrain complex background well by virtue of rapid arithmetic speed with high detection probability and low false alarm rate.It is a kind of infrared small and dim target detection method with good performance. 展开更多
关键词 complex scene infrared block tensor tensor kernel norm low-rank tensor restoration weighted inverse entropy alternating direction method
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基于Tensor Voting的蚁蛉翅脉修补 被引量:9
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作者 左西年 刘来福 +1 位作者 王心丽 沈佐锐 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第2期135-138,共4页
针对蚁蛉模式识别中蚁蛉翅脉断裂问题,利用Tensor Voting技术修补其数字照片中断裂的翅脉;展示将其应用于蚁蛉模式识别前期处理,以获取主要翅脉尽量完整信息的算法;数值实验中采用3种蚁蛉翅的图像作为测试,收到了很好的结果.
关键词 蚁蛉 模式识别 tensor VOTING 翅脉修补
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虚拟手术中基于Tensor-Mass的变形仿真技术 被引量:17
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作者 贾世宇 潘振宽 《系统仿真学报》 CAS CSCD 北大核心 2008年第7期1686-1690,共5页
详细论述并实现了虚拟手术中软组织变形仿真技术。虚拟软组织由四面体网格构成,生物力学模型使用Tensor-Mass模型。推导了一种半隐式数值积分算法用以求解软组织变形的动力学方程。该方法比传统的显式积分算法更稳定,并可将积分时间步... 详细论述并实现了虚拟手术中软组织变形仿真技术。虚拟软组织由四面体网格构成,生物力学模型使用Tensor-Mass模型。推导了一种半隐式数值积分算法用以求解软组织变形的动力学方程。该方法比传统的显式积分算法更稳定,并可将积分时间步长提高一个数量级。使用了基于拓扑距离的方法进一步减少数值积分算法的计算量。最后给出使用肝脏模型进行变形仿真的结果。 展开更多
关键词 虚拟手术 手术仿真 软组织变形 生物力学模型 tensor-Mass模型 半隐式数值积分法 拓扑距离
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Equivalent elastic compliance tensor for rock mass with multiple persistent joint sets:Exact derivation via modified crack tensor 被引量:2
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作者 崔洁 江权 +3 位作者 冯夏庭 李邵军 高红 李帅军 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第6期1486-1507,共22页
Discontinuities constitute an integral part of rock mass and inherently affect its anisotropic deformation behavior.This work focuses on the equivalent elastic deformation of rock mass with multiple persistent joint s... Discontinuities constitute an integral part of rock mass and inherently affect its anisotropic deformation behavior.This work focuses on the equivalent elastic deformation of rock mass with multiple persistent joint sets.A new method based on the space geometric and mechanical properties of the modified crack tensor is proposed,providing an analytical solution for the equivalent elastic compliance tensor of rock mass.A series of experiments validate the capability of the compliance tensor to accurately represent the deformation of rock mass with multiple persistent joint sets,based on conditions set by the basic hypothesis.The spatially varying rules of the equivalent elastic parameters of rock mass with a single joint set are analyzed to reveal the universal law of the stratified rock mass. 展开更多
关键词 equivalent elastic compliance tensor crack tensor multiple joint sets rock mass
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Higher-order principal component pursuit via tensor approximation and convex optimization 被引量:1
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作者 Sijia Cai Ping Wang +1 位作者 Linhao Li Chuhan Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第3期523-530,共8页
Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit (PCP). This paper exploits the higher-order generalization of matrix recovery, named higher-order princip... Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit (PCP). This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit (HOPCP), since it is critical in multi-way data analysis. Unlike the convexification (nuclear norm) for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme: the augmented Lagrangian alternating direction method (ALADM) and its truncated higher-order singular value decomposition (ALADM-THOSVD) version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing. 展开更多
关键词 tensor recovery principal component pursuit alternating direction method tensor approximation.
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Calculation and correction of magnetic object positioning error caused by magnetic field gradient tensor measurement 被引量:6
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作者 WANG Sansheng ZHANG Mingji +1 位作者 ZHANG Ning GUO Qiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第3期456-461,共6页
Magnetic field gradient tensor measurement is an important technique to obtain position information of magnetic objects. When using magnetic field sensors to measure magnetic field gradient as the coefficients of tens... Magnetic field gradient tensor measurement is an important technique to obtain position information of magnetic objects. When using magnetic field sensors to measure magnetic field gradient as the coefficients of tensor, field differentiation is generally approximated by field difference. As a result, magnetic objects positioning by magnetic field gradient tensor measurement always involves an inherent error caused by sensor sizes, leading to a reduction in detectable distance and detectable angle. In this paper, the inherent positioning error caused by magnetic field gradient tensor measurement is calculated and corrected by iterations based on the systematic position error distribution patterns. The results show that, the detectable distance range and the angle range of an ac magnetic object(2.44 Am^2@1 kHz) can be increased from(0.45 m, 0.75 m),(0?, 25?) to(0.30 m, 0.80 m),(0?,80?), respectively. 展开更多
关键词 magnetic dipole magnetic gradient tensor positioning error error correction
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An early warning method for water inrush in Dongjiahe coal mine based on microseismic moment tensor 被引量:4
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作者 MA Ke SUN Xing-ye +4 位作者 TANG Chun-an WANG Su-jian YUAN Fu-zhen PENG Yi-lin LIU Kai 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第10期3133-3148,共16页
Dongjiahe Coal Mine belongs to the Carboniferous Permian coal field which has a high degree of karst and fissure development.This paper takes the working face of Dongjiahe Coal Mine as an example;through the microseis... Dongjiahe Coal Mine belongs to the Carboniferous Permian coal field which has a high degree of karst and fissure development.This paper takes the working face of Dongjiahe Coal Mine as an example;through the microseismic(MS)monitoring system arranged on the working face,the moment tensor theory was used to invert the focal mechanism solution of the anomalous area of the floor MS event;combining the numerical simulation and field data,the underlying floor faults were identified by the stress inversion method.The results show that:1)Moment tensors were decomposed into three components and the main type of rupture in this area is mixed failure according to the relative criterion;2)The hidden fault belongs to the reversed fault,its dip angle is approximately 70°,and the rupture length is 21 m determined by the inversion method of the initial dynamic polarity and stress in the focal mechanism;3)The failure process of the fault is divided into three stages by numerical simulation method combined with the temporal and spatial distribution of MS events.The results can provide a reference for early warning and evaluation of similar coal mine water inrush risks. 展开更多
关键词 moment tensor inversion water inrush fault recognition realistic failure process analysis
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Joint inversion of gravity and multiple components of tensor gravity data 被引量:3
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作者 鲁光银 曹书锦 朱自强 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第7期1767-1777,共11页
Geological structures often exhibit smooth characteristics away from sharp discontinuities. One aim of geophysical inversion is to recover information about the smooth structures as well as about the sharp discontinui... Geological structures often exhibit smooth characteristics away from sharp discontinuities. One aim of geophysical inversion is to recover information about the smooth structures as well as about the sharp discontinuities. Because no specific operator can provide a perfect sparse representation of complicated geological models, hyper-parameter regularization inversion based on the iterative split Bregman method was used to recover the features of both smooth and sharp geological structures. A novel preconditioned matrix was proposed, which counteracted the natural decay of the sensitivity matrix and its inverse matrix was calculated easily. Application of the algorithm to synthetic data produces density models that are good representations of the designed models. The results show that the algorithm proposed is feasible and effective. 展开更多
关键词 hyper-parameter regularization full gravity gradient tensor preconditioned matrix Occam's inversion focusinginversion
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Fingerprint singular points extraction based on orientation tensor field and Laurent series 被引量:3
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作者 刘琴 彭可 +4 位作者 刘巍 谢琴 李仲阳 兰浩 金耀 《Journal of Central South University》 SCIE EI CAS 2014年第5期1927-1934,共8页
Singular point(SP)extraction is a key component in automatic fingerprint identification system(AFIS).A new method was proposed for fingerprint singular points extraction,based on orientation tensor field and Laurent s... Singular point(SP)extraction is a key component in automatic fingerprint identification system(AFIS).A new method was proposed for fingerprint singular points extraction,based on orientation tensor field and Laurent series.First,fingerprint orientation flow field was obtained,using the gradient of fingerprint image.With these gradients,fingerprint orientation tensor field was calculated.Then,candidate SPs were detected by the cross-correlation energy in multi-scale Gaussian space.The energy was calculated between fingerprint orientation tensor field and Laurent polynomial model.As a global descriptor,the Laurent polynomial coefficients were allowed for rotational invariance.Furthermore,a support vector machine(SVM)classifier was trained to remove spurious SPs,using cross-correlation coefficient as a feature vector.Finally,experiments were performed on Singular Point Detection Competition 2010(SPD2010)database.Compared to the winner algorithm of SPD2010 which has best accuracy of 31.90%,the accuracy of proposed algorithm is 45.34%.The results show that the proposed method outperforms the state-of-the-art detection algorithms by large margin,and the detection is invariant to rotational transformations. 展开更多
关键词 fingerprint extraction singular point fingerprint orientation tensor field Laurent series rotational invariance supportvector machine (SVM)
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Underwater square-root cubature attitude estimator by use of quaternion-vector switching and geomagnetic field tensor 被引量:4
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作者 HUANG Yu WU Lihua YU Qiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第4期804-814,共11页
This paper presents a kind of attitude estimation algorithm based on quaternion-vector switching and square-root cubature Kalman filter for autonomous underwater vehicle(AUV).The filter formulation is based on geomagn... This paper presents a kind of attitude estimation algorithm based on quaternion-vector switching and square-root cubature Kalman filter for autonomous underwater vehicle(AUV).The filter formulation is based on geomagnetic field tensor measurement dependent on the attitude and a gyro-based model for attitude propagation. In this algorithm, switching between the quaternion and the three-component vector is done by a couple of the mathematical transformations. Quaternion is chosen as the state variable of attitude in the kinematics equation to time update, while the mean value and covariance of the quaternion are computed by the three-component vector to avoid the normalization constraint of quaternion. The square-root forms enjoy a continuous and improved numerical stability because all the resulting covariance matrices are guaranteed to stay positively semidefinite. The entire square-root cubature attitude estimation algorithm with quaternion-vector switching for the nonlinear equality constraint of quaternion is given. The numerical simulation of simultaneous swing motions in the three directions is performed to compare with the three kinds of filters and the results indicate that the proposed filter provides lower attitude estimation errors than the other two kinds of filters and a good convergence rate. 展开更多
关键词 attitude estimator geomagnetic field tensor quaternion-vector switching square-root cubature Kalman filter autonomous underwater vehicle(AUV)
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稳态Q-tensor液晶流的Liouville定理 被引量:4
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作者 赖宁安 吴家彦 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2022年第4期418-421,434,共5页
研究了三维空间中稳态Q-tensor液晶流模型,并用试探函数方法证明了当速度场u∈L ^(9/2),∞(R^(3))∩H ^(1)·(R^(3)),液晶的张量型序参量Q∈H^(2)(R^(3))时,该稳态系统只有零平凡解。
关键词 液晶流 LIOUVILLE定理 Q-tensor
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PRELIMINARY RESULTS OF EARTHQUAKE MOMENT TENSOR INVERSION IN WESTERN CHINA
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作者 Gao Yuan 1, Suzan van der Lee 2, Domenico Giardini\+2, Jochen Braunmiller\+2, Zheng Si\|hua\+3 2 Institute of Geophysics, ETH\|Honggerberg, 8093 《地学前缘》 EI CAS CSCD 2000年第S1期172-172,共1页
The goal of this study is to determine earthquake source processes of moderate to strong earthquakes in Western China using data recorded by the digital broadband stations in and near China. There are 12 broadband sta... The goal of this study is to determine earthquake source processes of moderate to strong earthquakes in Western China using data recorded by the digital broadband stations in and near China. There are 12 broadband stations on the Chinese mainland. This paper used a kind of moment tensor inversion method to study the large earthquakes in the Xizang (Tibet) region of China.In this study, we first ported and tested a moment\|tensor inversion code and then applied the technique to a large (magnitude M s=7.9) earthquake in Xizang region of China. The inversion for the earthquake moment tensor is performed in the frequency domain by fitting long\|period observed spectra to synthetic spectra calculated. For details of the method refer to Giardini and Beranzoli (1992). As part of the project, we extended the library of synthetics by including local (>100km) and teleseismic distances (2000km<distance<9000km) which allows now the use of data from additional stations. The Xizang region is one of the most unusual and spectacular topographic features on Earth rising, on average, more than 4000 meters above sea level. The high topography is the result of the collision between the Indian and Asian tectonic plates which is also the cause for the area’s high seismicity rate. As a preliminary study, the moment tensors were obtained for the large earthquake ( M s=7.9) of 8 Nov 1997 in Xizang region using data from five stations. The result is similar to the Harvard CMT solution; for strike, dip and rake, this paper obtained 343, 76 and -177 degrees, respectively, while the Harvard CMT values are 348, 88 and 159. The moment magnitude estimate of Harvard is only 0.1 unit larger than my estimate of M w=7 4.. The fit in the frequency domain (phase and amplitude) suggests the reasonable result. At long periods the earthquake depth is generally not well resolved. Inversions for several trial depths, however, show a clear variance minimum for centroid depths (the average depth over the entire rupture plane) of a little less than about 12km. This is roughly consistent with the Harvard estimate of 16.4km. The fit result also shows that the fault plane solution is stable and well resolved. The test of the frequence band influence suggests that for each band the results are stable over a wide depth range. However, the results at one trial depth slightly depend on the frequency band. This research is being performed still, due to the important implication of Xizang region on geodynamics studies. Combining with more data, geological investigation and stress field analysis, we will give further results and discussion. 展开更多
关键词 EARTHQUAKE MOMENT tensorS MAGNITUDE topography Western China
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Tensor based non-photo realistic rendering for Korean architectural images
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作者 Do Kyung Shin Eun Young Ahn 《Journal of Central South University》 SCIE EI CAS 2014年第10期3805-3810,共6页
Existing pen and ink sketch technologies can be applied to general images, but they could not produce optimal output for images of traditional architecture, because most images consist of exquisite straight lined patt... Existing pen and ink sketch technologies can be applied to general images, but they could not produce optimal output for images of traditional architecture, because most images consist of exquisite straight lined patterns in traditional architecture, such as root tiles and window bars. The lines of roofs and eaves need to be described delicately to express pen and ink sketch most effectively. Therefore, by proposing a method to create white noise for light and shade of input images, to extract input vector directions from the white noise, and to determine the direction and length of stroke, a new expression technique is proposed for pen and ink sketch that could best reflect the characteristics of traditional architecture. 展开更多
关键词 non-photo realistic rendering pen and ink sketch tensor
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PolSAR Image Segmentation by Mean Shift Clustering in the Tensor Space 被引量:6
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作者 WANG Ying-Hua HAN Chong-Zhao 《自动化学报》 EI CSCD 北大核心 2010年第6期798-806,共9页
关键词 图像分割 图像处理 计算机 POLSAR
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An Interest Point Detector Based on Polynomial Local Orientation Tensor
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作者 LIN Rui WANG Wei-Dong +1 位作者 DU Zhi-Jiang SUN Li-Ning 《自动化学报》 EI CSCD 北大核心 2012年第7期1183-1189,共7页
关键词 取向张量 检测器 多项式 兴趣点 旋转不变量 PLOT 机器人导航 图像信号
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基于张量分解的城市轨道出行模式归因分析 被引量:2
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作者 周雨阳 李世堃 +4 位作者 胡世龙 邓沙沙 柳堤 陈艳艳 罗铭 《铁道科学与工程学报》 北大核心 2025年第5期2000-2012,共13页
科学的轨道交通出行模式分析是运营决策优化的重要依据。为挖掘城市轨道交通时空流动特征及其影响机理,提出一种基于非负张量分解的OD客流强度时空分布计算方法,采用融合SHAP归因分析的极端梯度提升树(eXtreme Gradient Boosting,XGBoo... 科学的轨道交通出行模式分析是运营决策优化的重要依据。为挖掘城市轨道交通时空流动特征及其影响机理,提出一种基于非负张量分解的OD客流强度时空分布计算方法,采用融合SHAP归因分析的极端梯度提升树(eXtreme Gradient Boosting,XGBoost)对各模式OD客流强度进行拟合预测。使用城市轨道交通AFC(automatic fare collection system,AFC)系统数据,从空间、时段以及出行日3个维度构建3阶客流OD张量,采用交替非负最小二乘法(alternating non negative least squares,ANLS)实现非负CP张量分解。基于张量分解结果,从北京轨道交通344个站点连续1周16266966条出行数据中,提取出晨高峰长距离通勤、早高峰中短通勤、平峰休闲中转出行、晚归出行4种出行模式的时、空分布特征。基于可解释性机器学习模型,对各模式OD客流进行预测。结果表明XGBoost与CatBoost、LightGBM、OLS相比更具优势。根据OD起终点站域环境特征,考虑起终点缓冲区内各类兴趣点(point of interest,POI)数量、小区住户数、房价、人口数量、站点偏离距离以及出行距离等指标,构建OD强度关联指标体系,解释各指标对OD客流强度的正负反馈效应。SHAP归因分析说明,居民更倾向于14站以内的中短途出行,并分别得到了就业类POI数目对晨、早通勤客流正向影响,以及餐饮类POI数目对休闲中转出行客流正向影响的临界阈值。该方法可为轨道交通精细化出行引导和客流组织提供数据支撑,优化城市轨道交通供需平衡及服务水平。 展开更多
关键词 城市轨道 出行模式 张量分解 机器学习 归因分析
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基于改进半张量积贝叶斯网络的直流配电网故障诊断 被引量:1
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作者 于华楠 仇华华 +2 位作者 王鹤 李石强 韦搏 《电测与仪表》 北大核心 2025年第6期178-185,共8页
文章提出基于改进半张量积贝叶斯网络的直流配电网故障诊断算法。对基于半张量积的贝叶斯网络方法进行改进,引入了保护和断路器动作时刻可信度和动作状态可信度,提高了故障诊断精度,即使条件概率不准确时也能够对计算结果进行修正。考... 文章提出基于改进半张量积贝叶斯网络的直流配电网故障诊断算法。对基于半张量积的贝叶斯网络方法进行改进,引入了保护和断路器动作时刻可信度和动作状态可信度,提高了故障诊断精度,即使条件概率不准确时也能够对计算结果进行修正。考虑到直流配电网中保护与控制的深度融合,将反映控制状态改变的控制量与反映保护动作的保护量融合到半张量积贝叶斯网络中,使得故障诊断结果更加准确。通过算例分析,验证了所提出的诊断方法的正确性和可靠性。 展开更多
关键词 直流配电网 半张量积 可信度 贝叶斯网络 故障诊断
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