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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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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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Recovery of Corrupted Low-Rank Tensors
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作者 Haiyan Fan Gangyao Kuang 《Applied Mathematics》 2017年第2期229-244,共16页
This paper studies the problem of recovering low-rank tensors, and the tensors are corrupted by both impulse and Gaussian noise. The problem is well accomplished by integrating the tensor nuclear norm and the l1-norm ... This paper studies the problem of recovering low-rank tensors, and the tensors are corrupted by both impulse and Gaussian noise. The problem is well accomplished by integrating the tensor nuclear norm and the l1-norm in a unified convex relaxation framework. The nuclear norm is adopted to explore the low-rank components and the l1-norm is used to exploit the impulse noise. Then, this optimization problem is solved by some augmented-Lagrangian-based algorithms. Some preliminary numerical experiments verify that the proposed method can well recover the corrupted low-rank tensors. 展开更多
关键词 low-rank tensor tensor RECOVERY Augmented Lagrangian Method IMPULSIVE Noise Mixed Noise
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Low-rank tensor completion with spatial-spectral consistency for hyperspectral image restoration
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作者 XIAO Zhiwen ZHU Hu 《Optoelectronics Letters》 EI 2023年第7期432-436,共5页
Hyperspectral image(HSI) restoration has been widely used to improve the quality of HSI.HSIs are often impacted by various degradations,such as noise and deadlines,which have a bad visual effect and influence the subs... Hyperspectral image(HSI) restoration has been widely used to improve the quality of HSI.HSIs are often impacted by various degradations,such as noise and deadlines,which have a bad visual effect and influence the subsequent applications.For HSIs with missing data,most tensor regularized methods cannot complete missing data and restore it.We propose a spatial-spectral consistency regularized low-rank tensor completion(SSC-LRTC) model for removing noise and recovering HSI data,in which an SSC regularization is proposed considering the images of different bands are different from each other.Then,the proposed method is solved by a convergent multi-block alternating direction method of multipliers(ADMM) algorithm,and convergence of the solution is proved.The superiority of the proposed model on HSI restoration is demonstrated by experiments on removing various noises and deadlines. 展开更多
关键词 tensor CONSISTENCY removing
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Unsupervised reconstruction with low-rank tensor embedding based on spatial-intensity-temporal constraints for compressed ultrafast photography
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作者 HAOYU ZHOU ZHIMING YAO +6 位作者 WENPEI YANG DONGWEI HEI YANG LI BAOJUN DUAN YINONG LIU LIANG SHENG YAN SONG 《Photonics Research》 2025年第7期1936-1946,共11页
Compressed ultrafast photography(CUP)is a computational imaging technique that can simultaneously achieve an imaging speed of 10^(13)frames per second and a sequence depth of hundreds of frames.It is a powerful tool f... Compressed ultrafast photography(CUP)is a computational imaging technique that can simultaneously achieve an imaging speed of 10^(13)frames per second and a sequence depth of hundreds of frames.It is a powerful tool for observing unrepeatable ultrafast physical processes.However,since the forward model of CUP is a data compression process,the reconstruction process is an ill-posed problem.This causes inconvenience in the practical application of CUP,especially in those scenes with complex temporal behavior,high noise level and compression ratio.In this paper,the CUP system model based on spatial-intensity-temporal constraints is proposed by adding an additional charge-coupled device(CCD)camera to constrain the spatial and intensity behaviors of the dynamic scene and an additional narrow-slit streak camera to constrain the temporal behavior of the dynamic scene.Additionally,the unsupervised deep learning CUP reconstruction algorithm with low-rank tensor embedding is also proposed.The algorithm enhances the low-rankness of the reconstructed image by maintaining the low-rank structure of the dynamic scene and effectively utilizes the implicit prior information of the neural network and the hardware physical model.The proposed joint learning model enables high-quality reconstruction of complex dynamic scenes without training datasets.The simulation and experimental results demonstrate the application prospect of the proposed joint learning model in complex ultrafast physical phenomena imaging. 展开更多
关键词 low rank tensor embedding computational imaging spatial intensity temporal constraints compressed ultrafast photography cup reconstruction process compressed ultrafast photography data compression processthe computational imaging technique
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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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Class-Imbalanced Machinery Fault Diagnosis using Heterogeneous Data Fusion Support Tensor Machine
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作者 Zhishan Min Minghui Shao +1 位作者 Haidong Shao Bin Liu 《Journal of Dynamics, Monitoring and Diagnostics》 2025年第1期11-21,共11页
The monitoring signals of bearings from single-source sensor often contain limited information for characterizing various working condition,which may lead to instability and uncertainty of the class-imbalanced intelli... The monitoring signals of bearings from single-source sensor often contain limited information for characterizing various working condition,which may lead to instability and uncertainty of the class-imbalanced intelligent fault diagnosis.On the other hand,the vectorization of multi-source sensor signals may not only generate high-dimensional vectors,leading to increasing computational complexity and overfitting problems,but also lose the structural information and the coupling information.This paper proposes a new method for class-imbalanced fault diagnosis of bearing using support tensor machine(STM)driven by heterogeneous data fusion.The collected sound and vibration signals of bearings are successively decomposed into multiple frequency band components to extract various time-domain and frequency-domain statistical parameters.A third-order hetero-geneous feature tensor is designed based on multisensors,frequency band components,and statistical parameters.STM-based intelligent model is constructed to preserve the structural information of the third-order heterogeneous feature tensor for bearing fault diagnosis.A series of comparative experiments verify the advantages of the proposed method. 展开更多
关键词 class-imbalanced fault diagnosis feature tensor heterogeneous data fusion support tensor machine
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Microseismic moment tensor inversion based on ResNet model
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作者 Jiaqi Yan Li Ma +3 位作者 Tianqi Jiang Jing Zheng Dewei Li Xingzhi Teng 《Artificial Intelligence in Geosciences》 2025年第1期61-68,共8页
This paper proposed a moment tensor regression prediction technology based on ResNet for microseismic events.Taking the great advantages of deep networks in classification and regression tasks,it can realize the great... This paper proposed a moment tensor regression prediction technology based on ResNet for microseismic events.Taking the great advantages of deep networks in classification and regression tasks,it can realize the great potential of fast and accurate inversion of microseismic moment tensors after the network trained.This ResNet-based moment tensor prediction technology,whose input is raw recordings,does not require the extraction of data features in advance.First,we tested the network using synthetic data and performed a quantitative assessment of the errors.The results demonstrate that the network exhibits high accuracy and efficiency during the prediction phase.Next,we tested the network using real microseismic data and compared the results with those from traditional inversion methods.The error in the results was relatively small compared to traditional methods.However,the network operates more efficiently without requiring manual intervention,making it highly valuable for near-real-time monitoring applications. 展开更多
关键词 Microseismic ResNet Moment tensor Regression
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The genesis and accumulation mechanism of CBM in the typical midto low-rank coal-bearing basins
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作者 Bin Zhang Shu Tao +6 位作者 Fan Yang Yi Cui Qing-He Jing Jie Guo Shi-Da Chen Yi-Jie Wen Xin-Yang Men 《Petroleum Science》 2025年第8期3069-3085,共17页
The composition and isotopic characteristics of coalbed methane(CBM), as well as the genesis of CH_(4)and CO_(2), associated geological process and migration-accumulation model of CBM in typical mid-to low-rank coal-b... The composition and isotopic characteristics of coalbed methane(CBM), as well as the genesis of CH_(4)and CO_(2), associated geological process and migration-accumulation model of CBM in typical mid-to low-rank coal-bearing basins were studied. The genesis of CBM is jointly influenced by the degree of coalification and biochemical processes, which in turn determine the composition and isotopic characteristics of CBM.Biogenic gas is extensively developed in mid-to low-rank coal-bearing basins, but its genesis varies. In the Baode area, China, and the San Juan Basin, USA, CBM is mainly secondary biogenic gas and thermogenic gas. In the Miquan area, China, CBM is characterized by primary biogenic gas. However, CBM in the Jiergalangtu area, China, Surat Basin, Australia, and Power River Basin, USA, are characterized by secondary biogenic gas. Microbial CO_(2)reduction occurs in these coal-bearing basins, but with significant gas generation by acetate fermentation in some areas of these basins. Moreover, CO_(2)in the Power River Basin, Surat Basin, and Jiergalangtu area mainly originates from microbial degradation of organic matter.However, in other basins studied, CO_(2)initially derives from coal pyrolysis and is subsequently supplemented by CO_(2)from microbial methanogenesis. The generation and isotope fractionation of CBM are affected and controlled by associated geological processes. Additionally, under the control of tectonic morphology and hydrogeological conditions, the genesis and migration-accumulation models of CBM in mid-to low-rank coal-bearing basins can be summarized into two models-the hydrodynamic active monoclinic model and the hydrodynamic differential syncline model-or a combination of the two. 展开更多
关键词 Coalbed methane Biogenic gas Isotope geochemistry Migration-accumulation model Mid-to low-rank coal
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Absorption compensation via structure tensor regularization multichannel inversion
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作者 Liang Bing Zhao Dong-feng +4 位作者 Xia Lian-jun Tang Guo-song Luo Zhen Guan Wen-hua Wang Xue-jing 《Applied Geophysics》 2025年第3期635-646,892,893,共14页
Absorption compensation is a process involving the exponential amplification of reflection amplitudes.This process amplifies the seismic signal and noise,thereby substantially reducing the signal-tonoise ratio of seis... Absorption compensation is a process involving the exponential amplification of reflection amplitudes.This process amplifies the seismic signal and noise,thereby substantially reducing the signal-tonoise ratio of seismic data.Therefore,this paper proposes a multichannel inversion absorption compensation method based on structure tensor regularization.First,the structure tensor is utilized to extract the spatial inclination of seismic signals,and the spatial prediction filter is designed along the inclination direction.The spatial prediction filter is then introduced into the regularization condition of multichannel inversion absorption compensation,and the absorption compensation is realized under the framework of multichannel inversion theory.The spatial predictability of seismic signals is also introduced into the objective function of absorption compensation inversion.Thus,the inversion system can effectively suppress the noise amplification effect during absorption compensation and improve the recovery accuracy of high-frequency signals.Synthetic and field data tests are conducted to demonstrate the accuracy and effectiveness of the proposed method. 展开更多
关键词 Absorption compensation Structure tensor RESOLUTION Signal-to-noise ratio REGULARIZATION
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Programming guide for solving constraint satisfaction problems with tensor networks
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作者 Xuanzhao Gao Xiaofeng Li Jinguo Liu 《Chinese Physics B》 2025年第5期71-90,共20页
Constraint satisfaction problems(CSPs)are a class of problems that are ubiquitous in science and engineering.They feature a collection of constraints specified over subsets of variables.A CSP can be solved either dire... Constraint satisfaction problems(CSPs)are a class of problems that are ubiquitous in science and engineering.They feature a collection of constraints specified over subsets of variables.A CSP can be solved either directly or by reducing it to other problems.This paper introduces the Julia ecosystem for solving and analyzing CSPs with a focus on the programming practices.We introduce some important CSPs and show how these problems are reduced to each other.We also show how to transform CSPs into tensor networks,how to optimize the tensor network contraction orders,and how to extract the solution space properties by contracting the tensor networks with generic element types.Examples are given,which include computing the entropy constant,analyzing the overlap gap property,and the reduction between CSPs. 展开更多
关键词 tensor networks constraint satisfaction problems problem reductions Julia
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Tensor decomposition reveals trans-regulated gene modules in maize drought response
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作者 Jiawen Lu Yuxin Xie +2 位作者 Chunhui Li Jinliang Yang Junjie Fu 《Journal of Genetics and Genomics》 2025年第6期786-798,共13页
When plants respond to drought stress,dynamic cellular changes occur,accompanied by alterations in gene expression,which often act through trans-regulation.However,the detection of trans-acting genetic variants and ne... When plants respond to drought stress,dynamic cellular changes occur,accompanied by alterations in gene expression,which often act through trans-regulation.However,the detection of trans-acting genetic variants and networks of genes is challenged by the large number of genes and markers.Using a tensor decomposition method,we identify trans-acting expression quantitative trait loci(trans-eQTLs)linked to gene modules,rather than individual genes,which were associated with maize drought response.Module-to-trait association analysis demonstrates that half of the modules are relevant to drought-related traits.Genome-wide association studies of the expression patterns of each module identify 286 trans-eQTLs linked to drought-responsive modules,the majority of which cannot be detected based on individual gene expression.Notably,the trans-eQTLs located in the regions selected during maize improvement tend towards relatively strong selection.We further prioritize the genes that affect the transcriptional regulation of multiple genes in trans,as exemplified by two transcription factor genes.Our analyses highlight that multidimensional reduction could facilitate the identification of trans-acting variations in gene expression in response to dynamic environments and serve as a promising technique for high-order data processing in future crop breeding. 展开更多
关键词 MAIZE Drought stress tensor decomposition Gene expression trans-eQTL
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Integrating neural networks and tensor networks for computing free energy
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作者 Hanyan Cao Yijia Wang +1 位作者 Feng Pan Pan Zhang 《Communications in Theoretical Physics》 2025年第9期129-136,共8页
Computing free energy is a fundamental problem in statistical physics.Recently,two distinct methods have been developed and have demonstrated remarkable success:the tensor-network-based contraction method and the neur... Computing free energy is a fundamental problem in statistical physics.Recently,two distinct methods have been developed and have demonstrated remarkable success:the tensor-network-based contraction method and the neural-network-based variational method.Tensor networks are accurate,but their application is often limited to low-dimensional systems due to the high computational complexity in high-dimensional systems.The neural network method applies to systems with general topology.However,as a variational method,it is not as accurate as tensor networks.In this work,we propose an integrated approach,tensor-network-based variational autoregressive networks(TNVAN),that leverages the strengths of both tensor networks and neural networks:combining the variational autoregressive neural network’s ability to compute an upper bound on free energy and perform unbiased sampling from the variational distribution with the tensor network’s power to accurately compute the partition function for small sub-systems,resulting in a robust method for precisely estimating free energy.To evaluate the proposed approach,we conducted numerical experiments on spin glass systems with various topologies,including two-dimensional lattices,fully connected graphs,and random graphs.Our numerical results demonstrate the superior accuracy of our method compared to existing approaches.In particular,it effectively handles systems with longrange interactions and leverages GPU efficiency without requiring singular value decomposition,indicating great potential in tackling statistical mechanics problems and simulating high-dimensional complex systems through both tensor networks and neural networks. 展开更多
关键词 spin glass neural network tensor network width set
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Quantum Geometric Tensor for Mixed States Based on the Covariant Derivative
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作者 Qianyi Wang Ben Wang +1 位作者 Jun Wang Lijian Zhang 《Chinese Physics Letters》 2025年第7期171-181,共11页
The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned... The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned only for pure states,has limited applicability in realistic scenarios where mixed states are common.To address this limitation,we generalize the defnition of the QGT to mixed states using the purifcation bundle and the covariant derivative.Notably,our proposed defnition reduces to the traditional QGT when mixed states approach pure states.In our framework,the real and imaginary parts of this generalized QGT correspond to the Bures metric and the mean gauge curvature,respectively,endowing it with a broad range of potential applications.Additionally,using our proposed mixed-state QGT,we derive the geodesic equation applicable to mixed states.This work establishes a unifed framework for the geometric analysis of both pure and mixed states,thereby deepening our understanding of the geometric properties of quantum states. 展开更多
关键词 characterizing geometric properties quantum states purifcation bundle elucidating various physical phenomenathe covariant derivative Bures metric quantum geometric tensor qgt quantum geometric tensor mixed states
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A Mask-Guided Latent Low-Rank Representation Method for Infrared and Visible Image Fusion
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作者 Kezhen Xie Syed Mohd Zahid Syed Zainal Ariffin Muhammad Izzad Ramli 《Computers, Materials & Continua》 2025年第7期997-1011,共15页
Infrared and visible image fusion technology integrates the thermal radiation information of infrared images with the texture details of visible images to generate more informative fused images.However,existing method... Infrared and visible image fusion technology integrates the thermal radiation information of infrared images with the texture details of visible images to generate more informative fused images.However,existing methods often fail to distinguish salient objects from background regions,leading to detail suppression in salient regions due to global fusion strategies.This study presents a mask-guided latent low-rank representation fusion method to address this issue.First,the GrabCut algorithm is employed to extract a saliency mask,distinguishing salient regions from background regions.Then,latent low-rank representation(LatLRR)is applied to extract deep image features,enhancing key information extraction.In the fusion stage,a weighted fusion strategy strengthens infrared thermal information and visible texture details in salient regions,while an average fusion strategy improves background smoothness and stability.Experimental results on the TNO dataset demonstrate that the proposed method achieves superior performance in SPI,MI,Qabf,PSNR,and EN metrics,effectively preserving salient target details while maintaining balanced background information.Compared to state-of-the-art fusion methods,our approach achieves more stable and visually consistent fusion results.The fusion code is available on GitHub at:https://github.com/joyzhen1/Image(accessed on 15 January 2025). 展开更多
关键词 Infrared and visible image fusion latent low-rank representation saliency mask extraction weighted fusion strategy
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An Improved Iterative Algorithm for Identifying Strong\({\mathcal{H}}\)-Tensors
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作者 Wenbin Gong Yan Li Yaqiang Wang 《Communications on Applied Mathematics and Computation》 2025年第4期1598-1614,共17页
StrongH-tensors play a significant role in identifying the positive definiteness of an even-order real symmetric tensor.In this paper,first,an improved iterative algorithm is proposed to determine whether a given tens... StrongH-tensors play a significant role in identifying the positive definiteness of an even-order real symmetric tensor.In this paper,first,an improved iterative algorithm is proposed to determine whether a given tensor is a strong H-tensor,and the validity of the iterative algorithm is proved theoretically.Second,the iterative algorithm is employed to identify the positive definiteness of an even-order real symmetric tensor.Finally,numerical examples are presented to illustrate the advantages of the proposed algorithm. 展开更多
关键词 Strong H-tensors Iterative algorithm Positive diagonal matrix Symmetric tensors
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TIDS: Tensor Based Intrusion Detection System (IDS) and Its Application in Large Scale DDoS Attack Detection
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作者 Hanqing Sun Xue Li +1 位作者 Qiyuan Fan Puming Wang 《Computers, Materials & Continua》 2025年第7期1659-1679,共21页
The era of big data brings new challenges for information network systems(INS),simultaneously offering unprecedented opportunities for advancing intelligent intrusion detection systems.In this work,we propose a data-d... The era of big data brings new challenges for information network systems(INS),simultaneously offering unprecedented opportunities for advancing intelligent intrusion detection systems.In this work,we propose a data-driven intrusion detection system for Distributed Denial of Service(DDoS)attack detection.The system focuses on intrusion detection from a big data perceptive.As intelligent information processing methods,big data and artificial intelligence have been widely used in information systems.The INS system is an important information system in cyberspace.In advanced INS systems,the network architectures have become more complex.And the smart devices in INS systems collect a large scale of network data.How to improve the performance of a complex intrusion detection system with big data and artificial intelligence is a big challenge.To address the problem,we design a novel intrusion detection system(IDS)from a big data perspective.The IDS system uses tensors to represent large-scale and complex multi-source network data in a unified tensor.Then,a novel tensor decomposition(TD)method is developed to complete big data mining.The TD method seamlessly collaborates with the XGBoost(eXtreme Gradient Boosting)method to complete the intrusion detection.To verify the proposed IDS system,a series of experiments is conducted on two real network datasets.The results revealed that the proposed IDS system attained an impressive accuracy rate over 98%.Additionally,by altering the scale of the datasets,the proposed IDS system still maintains excellent detection performance,which demonstrates the proposed IDS system’s robustness. 展开更多
关键词 Intrusion detection system big data tensor decomposition multi-modal feature DDOS
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Moment tensor inversion of mining-induced seismic events and forward modeling of critical fault slip to prevent rockbursts
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作者 Jiefang Song Caiping Lu +4 位作者 Arno Zang Derek Elsworth Xiufeng Zhang Qingxin Qi Chunhui Song 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第5期2987-3000,共14页
In this study,we employed Bayesian inversion coupled with the summation-by-parts and simultaneousapproximation-term(SBP-SAT)forward simulation method to elucidate the mechanisms behind mininginduced seismic events cau... In this study,we employed Bayesian inversion coupled with the summation-by-parts and simultaneousapproximation-term(SBP-SAT)forward simulation method to elucidate the mechanisms behind mininginduced seismic events caused by fault slip and their potential effects on rockbursts.Through Bayesian inversion,it is determined that the sources near fault FQ14 have a significant shear component.Additionally,we analyzed the stress and displacement fields of high-energy events,along with the hypocenter distribution of aftershocks,which aided in identifying the slip direction of the critically stressed fault FQ14.We also performed forward modeling to capture the complex dynamics of fault slip under varying friction laws and shear fracture modes.The selection of specific friction laws for fault slip models was based on their ability to accurately replicate observed slip behavior under various external loading conditions,thereby enhancing the applicability of our findings.Our results suggest that the slip behavior of fault FQ14 can be effectively understood by comparing different scenarios. 展开更多
关键词 ROCKBURST Fault slip Moment tensor inversion Friction law
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The impact of tensor force on collective correlations and neutrinoless double-βdecay
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作者 Chang-Feng Jiao Cen-Xi Yuan 《Nuclear Science and Techniques》 2025年第11期233-242,共10页
The tensor force changes the nuclear shell structure and thus may result in underlying influence of the collectivity and decay properties of the nucleus.We carefully examined the impact of the monopole and multipole e... The tensor force changes the nuclear shell structure and thus may result in underlying influence of the collectivity and decay properties of the nucleus.We carefully examined the impact of the monopole and multipole effects originating from the tensor force on both the collectivity and the matrix element for the neutrinoless double-β(0νββ)decay,using the generatorcoordinate method with an effective interaction.To analyze the effect of the tensor force,we employed an effective Hamiltonian associated with the monopole-based universal interaction that explicitly consists of the central,tensor,and spin-orbit coupling terms.The interferences among the shell structure,quadrupole collectivity,nucleon occupancy,and 0νββmatrix elements were analyzed in detail.A better understanding of the tensor force would be of great importance in reducing the theoretical uncertainty in 0νββnuclear matrix element calculations. 展开更多
关键词 Neutrinoless double-beta decay Collective correlations tensor force
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Fast Parallel Magnetic Resonance Imaging Reconstruction Based on Sparsifying Transform Learning and Structured Low-Rank Model
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作者 DUAN Jizhong XU Yuhan HUANG Huan 《Journal of Shanghai Jiaotong university(Science)》 2025年第3期499-509,共11页
The structured low-rank model for parallel magnetic resonance(MR)imaging can efficiently reconstruct MR images with limited auto-calibration signals.To improve the reconstruction quality of MR images,we integrate the ... The structured low-rank model for parallel magnetic resonance(MR)imaging can efficiently reconstruct MR images with limited auto-calibration signals.To improve the reconstruction quality of MR images,we integrate the joint sparsity and sparsifying transform learning(JTL)into the simultaneous auto-calibrating and k-space estimation(SAKE)structured low-rank model,named JTLSAKE.The alternate direction method of multipliers is exploited to solve the resulting optimization problem,and the optimized gradient method is used to improve the convergence speed.In addition,a graphics processing unit is used to accelerate the proposed algorithm.The experimental results on four in vivo human datasets demonstrate that the reconstruction quality of the proposed algorithm is comparable to that of JTL-based low-rank modeling of local k-space neighborhoods with parallel imaging(JTL-PLORAKS),and the proposed algorithm is 46 times faster than the JTL-PLORAKS,requiring only 4 s to reconstruct a 200×200 pixels MR image with 8 channels. 展开更多
关键词 structured low-rank parallel magnetic resonance imaging sparsifying transform learning alternating direction method of multipliers optimized gradient method
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