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Learning-Based Turbo Message Passing for Channel Estimation in Rich-Scattering MIMO-OFDM
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作者 Huang Zhouyang Jiang Wenjun +2 位作者 Yuan Xiaojun Wang Li Zuo Yong 《China Communications》 2025年第6期154-167,共14页
In this paper,we focus on the channel estimation for multi-user MIMO-OFDM systems in rich scattering environments.We find that channel sparsity in the delay-angle domain is severely compromised in rich scattering envi... In this paper,we focus on the channel estimation for multi-user MIMO-OFDM systems in rich scattering environments.We find that channel sparsity in the delay-angle domain is severely compromised in rich scattering environments,so that most existing compressed sensing(CS)based techniques can harvest a very limited gain(if any)in reducing the channel estimation overhead.To address the problem,we propose the learning-based turbo message passing(LTMP)algorithm.Instead of exploiting the channel sparsity,LTMP is able to efficiently extract the channel feature via deep learning as well as to exploit the channel continuity in the frequency domain via block-wise linear modelling.More specifically,as a component of LTMP,we develop a multi-scale parallel dilated convolutional neural network(MPDCNN),which leverages frequency-space channel correlation in different scales for channel denoising.We evaluate the LTMP’s performance in MIMO-OFDM channels using the 3rd generation partnership project(3GPP)clustered delay line(CDL)channel models.Simulation results show that the proposed channel estimation method has more than 5 dB power gain than the existing algorithms when the normalized mean-square error of the channel estimation is-20 dB.The proposed algorithm also exhibits strong robustness in various environments. 展开更多
关键词 channel estimation deep learning dilated CNN message passing MIMO-OFDM rich scattering environments
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Design of Navigation Message Authentication for BDSBAS System
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作者 Chen Xiao Tian Xiang +2 位作者 Luo Ruidan Liu Ting Wu Haitao 《China Communications》 2026年第1期189-203,共15页
The satellite-based augmentation system(SBAS)provides differential and integrity augmentation services for life safety fields of aviation and navigation.However,the signal structure of SBAS is public,which incurs a ri... The satellite-based augmentation system(SBAS)provides differential and integrity augmentation services for life safety fields of aviation and navigation.However,the signal structure of SBAS is public,which incurs a risk of spoofing attacks.To improve the anti-spoofing capability of the SBAS,European Union and the United States conduct research on navigation message authentication,and promote the standardization of SBAS message authentication.For the development of Beidou satellite-based augmentation system(BDSBAS),this paper proposes navigation message authentication based on the Chinese commercial cryptographic standards.Firstly,this paper expounds the architecture and principles of the SBAS message authentication,and then carries out the design of timed efficient streaming losstolerant authentication scheme(TESLA)and elliptic curve digital signature algorithm(ECDSA)authentication schemes based on Chinese commercial cryptographic standards,message arrangement and the design of over-the-air rekeying(OTAR)message.Finally,this paper conducts a theoretical analysis of the time between authentications(TBA)and maximum authentication latency(MAL)for L5 TESLA-I and L5 ECDSA-Q,and further simulates the reception time of OTAR message,TBA and MAL from the aspects of OTAR message weight and demodulation error rate.The simulation results can provide theoretical supports for the standardization of BDSBAS message authentication. 展开更多
关键词 Beidou satellite-based augmentation system ECDSA message authentication satellite navigation TESLA
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Passing the baton
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作者 Scott K.Powers 《Sports Medicine and Health Science》 2026年第1期1-2,共2页
Sports Medicine and Health Science(SMHS)has a short but impressive history.Following two diligent years of preplanning,SMHS was founded in 2019 by Co-Editors-in-Chief Dr.J.Larry Durstine and Dr.Quansheng Su.Dr.J.Larry... Sports Medicine and Health Science(SMHS)has a short but impressive history.Following two diligent years of preplanning,SMHS was founded in 2019 by Co-Editors-in-Chief Dr.J.Larry Durstine and Dr.Quansheng Su.Dr.J.Larry Durstine is retiring from his position on December 31,2025 and I am honored to accept the role of Editor-in-Chief(EIC)of SMHS along with Dr.Su.I want to begin my term as EIC by thanking Dr.J.Larry Durstine for his hard work and excellent editorial leadership during the first six years of journal operation.My job as the new EIC of SMHS will be to build on the already established excellence of the journal. 展开更多
关键词 health science journal operation sports medicine health science smhs sports medicine passing Baton editorial leadership
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一种基于Message Passing的并行程序设计技术 被引量:1
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作者 温钰洪 王鼎兴 +1 位作者 沈美明 郑纬民 《小型微型计算机系统》 CSCD 北大核心 1995年第5期7-13,共7页
本文首先分析介绍构造并行计算机系统的两种方法:Multiprocessors和Multicomputers,然后介绍一种Multicomputers并行计算机系统中基于messagepassing的并行程序设计环境以... 本文首先分析介绍构造并行计算机系统的两种方法:Multiprocessors和Multicomputers,然后介绍一种Multicomputers并行计算机系统中基于messagepassing的并行程序设计环境以及并行程序设计方法,它具有程序设计简单、直观等特点,易于构造程序模型,并能获得较好的加速比。 展开更多
关键词 程序设计 并行程序 并行计算机
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基于Message Passing的并行编程环境 被引量:2
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作者 刘欣然 胡铭曾 《计算机工程》 EI CAS CSCD 北大核心 1997年第5期17-20,共4页
在分布式并行计算机系统中,由于处理机间无共事内存,因此采用了MessagePassins方式实现处理机间的通信.文中讨论了基于MessagePassing把的并行编程环境所应具备的特点,然后介绍几种被人们普遍接受的并行编程环境.
关键词 消息传递 并行编程 并行计算机
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一种基于Message Passing的并行程序设计环境
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作者 温钰洪 沈美明 +1 位作者 王鼎兴 郑纬民 《软件学报》 EI CSCD 北大核心 1995年第11期647-654,共8页
并行处理技术的发展使得高性能的并行计算机系统不断地推出,而方便、灵活的并行程序设计环境在并行计算机系统的推广应用中起着重要的作用。如何编写有效的并行程序代码以及如何将现有的串行应用程序并行化已成为并行处理的重要研究课题。
关键词 并行程序 程序设计环境 并行处理 并行计算机
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QIM digital watermarkingbased on LDPC code and messagepassingunder scalingattacks
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作者 崔鑫 颜斌 +1 位作者 贾霞 王亚菲 《Journal of Measurement Science and Instrumentation》 CAS 2014年第1期37-40,共4页
Watermarking system based on quantization index modulation (QIM) is increasingly popular in high payload applications,but it is inherently fragile against amplitude scaling attacks.In order to resist desynchronizati... Watermarking system based on quantization index modulation (QIM) is increasingly popular in high payload applications,but it is inherently fragile against amplitude scaling attacks.In order to resist desynchronization attacks of QIM digital watermarking,a low density parity check (LDPC) code-aided QIM watermarking algorithm is proposed,and the performance of QIM watermarking system can be improved by incorporating LDPC code with message passing estimation/detection framework.Using the theory of iterative estimation and decoding,the watermark signal is decoded by the proposed algorithm through iterative estimation of amplitude scaling parameters and decoding of watermark.The performance of the proposed algorithm is closer to the dirty paper Shannon limit than that of repetition code aided algorithm when the algorithm is attacked by the additive white Gaussian noise.For constant amplitude scaling attacks,the proposed algorithm can obtain the accurate estimation of amplitude scaling parameters.The simulation result shows that the algorithm can obtain similar performance compared to the algorithm without desynchronization. 展开更多
关键词 digital watermarking quantization index modulation (QIM) message passing algorithm based on factor graph low density parity check (LDPC) code amplitude scaling attack
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基于Message Passing的认知无线电快速资源分配 被引量:2
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作者 支姝婷 徐家品 《无线电工程》 2016年第4期18-22,29,共6页
针对多用户的OFDM认知无线电系统上行链路,提出一种基于Message Passing的分布式快速资源分配算法。该算法以认知系统总发射功率最小化为优化目标,综合考虑了认知用户对授权用户的干扰、总发射功率预算以及认知用户之间的比例公平性等... 针对多用户的OFDM认知无线电系统上行链路,提出一种基于Message Passing的分布式快速资源分配算法。该算法以认知系统总发射功率最小化为优化目标,综合考虑了认知用户对授权用户的干扰、总发射功率预算以及认知用户之间的比例公平性等约束条件,将资源分配分为子信道分配与功率分配相继2个步骤,构建资源分配的因子图,通过在节点间迭代地传递信息直至最终完成分布式的资源分配。分析和仿真结果表明,该算法在保证系统通信性能及资源分配公平性的前提下降低了系统总发射功率,并且运算效率得到了明显提升。 展开更多
关键词 认知无线电 OFDM message passing 资源分配 比例公平
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Vector Approximate Message Passing with Sparse Bayesian Learning for Gaussian Mixture Prior 被引量:3
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作者 Chengyao Ruan Zaichen Zhang +3 位作者 Hao Jiang Jian Dang Liang Wu Hongming Zhang 《China Communications》 SCIE CSCD 2023年第5期57-69,共13页
Compressed sensing(CS)aims for seeking appropriate algorithms to recover a sparse vector from noisy linear observations.Currently,various Bayesian-based algorithms such as sparse Bayesian learning(SBL)and approximate ... Compressed sensing(CS)aims for seeking appropriate algorithms to recover a sparse vector from noisy linear observations.Currently,various Bayesian-based algorithms such as sparse Bayesian learning(SBL)and approximate message passing(AMP)based algorithms have been proposed.For SBL,it has accurate performance with robustness while its computational complexity is high due to matrix inversion.For AMP,its performance is guaranteed by the severe restriction of the measurement matrix,which limits its application in solving CS problem.To overcome the drawbacks of the above algorithms,in this paper,we present a low complexity algorithm for the single linear model that incorporates the vector AMP(VAMP)into the SBL structure with expectation maximization(EM).Specifically,we apply the variance auto-tuning into the VAMP to implement the E step in SBL,which decrease the iterations that require to converge compared with VAMP-EM algorithm when using a Gaussian mixture(GM)prior.Simulation results show that the proposed algorithm has better performance with high robustness under various cases of difficult measurement matrices. 展开更多
关键词 sparse Bayesian learning approximate message passing compressed sensing expectation propagation
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Turbo Message Passing Based Burst Interference Cancellation for Data Detection in Massive MIMO-OFDM Systems 被引量:2
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作者 Wenjun Jiang Zhihao Ou +1 位作者 Xiaojun Yuan Li Wang 《China Communications》 SCIE CSCD 2024年第2期143-154,共12页
This paper investigates the fundamental data detection problem with burst interference in massive multiple-input multiple-output orthogonal frequency division multiplexing(MIMO-OFDM) systems. In particular, burst inte... This paper investigates the fundamental data detection problem with burst interference in massive multiple-input multiple-output orthogonal frequency division multiplexing(MIMO-OFDM) systems. In particular, burst interference may occur only on data symbols but not on pilot symbols, which means that interference information cannot be premeasured. To cancel the burst interference, we first revisit the uplink multi-user system and develop a matrixform system model, where the covariance pattern and the low-rank property of the interference matrix is discussed. Then, we propose a turbo message passing based burst interference cancellation(TMP-BIC) algorithm to solve the data detection problem, where the constellation information of target data is fully exploited to refine its estimate. Furthermore, in the TMP-BIC algorithm, we design one module to cope with the interference matrix by exploiting its lowrank property. Numerical results demonstrate that the proposed algorithm can effectively mitigate the adverse effects of burst interference and approach the interference-free bound. 展开更多
关键词 burst interference cancellation data detection massive multiple-input multiple-output(MIMO) message passing orthogonal frequency division multiplexing(OFDM)
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Efficient Recovery of Structured Sparse Signals via Approximate Message Passing with Structured Spike and Slab Prior 被引量:2
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作者 Xiangming Meng Sheng Wu +2 位作者 Michael Riis ANDersen Jiang Zhu Zuyao Ni 《China Communications》 SCIE CSCD 2018年第6期1-17,共17页
Due to limited volume, weight and power consumption, micro-satellite has to reduce data transmission and storage capacity by image compression when performs earth observation missions. However, the quality of images m... Due to limited volume, weight and power consumption, micro-satellite has to reduce data transmission and storage capacity by image compression when performs earth observation missions. However, the quality of images may be unsatisfied. This paper considers the problem of recovering sparse signals by exploiting their unknown sparsity pattern. To model structured sparsity, the prior correlation of the support is encoded by imposing a transformed Gaussian process on the spike and slab probabilities. Then, an efficient approximate message-passing algorithm with structured spike and slab prior is derived for posterior inference, which, combined with a fast direct method, reduces the computational complexity significantly. Further, a unified scheme is developed to learn the hyperparameters using expectation maximization(EM) and Bethe free energy optimization. Simulation results on both synthetic and real data demonstrate the superiority of the proposed algorithm. 展开更多
关键词 compressed sensing structuredsparsity spike and slab prior approximate message passing expectation propagation
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A residual-based message passing algorithm for constraint satisfaction problems 被引量:1
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作者 Chun-Yan Zhao Yan-Rong Fu Jin-Hua Zhao 《Communications in Theoretical Physics》 SCIE CAS CSCD 2022年第3期77-86,共10页
Message passing algorithms,whose iterative nature captures complicated interactions among interconnected variables in complex systems and extracts information from the fixed point of iterated messages,provide a powerf... Message passing algorithms,whose iterative nature captures complicated interactions among interconnected variables in complex systems and extracts information from the fixed point of iterated messages,provide a powerful toolkit in tackling hard computational tasks in optimization,inference,and learning problems.In the context of constraint satisfaction problems(CSPs),when a control parameter(such as constraint density)is tuned,multiple threshold phenomena emerge,signaling fundamental structural transitions in their solution space.Finding solutions around these transition points is exceedingly challenging for algorithm design,where message passing algorithms suffer from a large message fiuctuation far from convergence.Here we introduce a residual-based updating step into message passing algorithms,in which messages with large variation between consecutive steps are given high priority in the updating process.For the specific example of model RB(revised B),a typical prototype of random CSPs with growing domains,we show that our algorithm improves the convergence of message updating and increases the success probability in finding solutions around the satisfiability threshold with a low computational cost.Our approach to message passing algorithms should be of value for exploring their power in developing algorithms to find ground-state solutions and understand the detailed structure of solution space of hard optimization problems. 展开更多
关键词 constraint satisfaction problems model RB message passing algorithms residuals of messages
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Speech Enhancement Based on Approximate Message Passing 被引量:1
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作者 Chao Li Ting Jiang Sheng Wu 《China Communications》 SCIE CSCD 2020年第8期187-198,共12页
To overcome the limitations of conventional speech enhancement methods, such as inaccurate voice activity detector(VAD) and noise estimation, a novel speech enhancement algorithm based on the approximate message passi... To overcome the limitations of conventional speech enhancement methods, such as inaccurate voice activity detector(VAD) and noise estimation, a novel speech enhancement algorithm based on the approximate message passing(AMP) is adopted. AMP exploits the difference between speech and noise sparsity to remove or mute the noise from the corrupted speech. The AMP algorithm is adopted to reconstruct the clean speech efficiently for speech enhancement. More specifically, the prior probability distribution of speech sparsity coefficient is characterized by Gaussian-model, and the hyper-parameters of the prior model are excellently learned by expectation maximization(EM) algorithm. We utilize the k-nearest neighbor(k-NN) algorithm to learn the sparsity with the fact that the speech coefficients between adjacent frames are correlated. In addition, computational simulations are used to validate the proposed algorithm, which achieves better speech enhancement performance than other four baseline methods-Wiener filtering, subspace pursuit(SP), distributed sparsity adaptive matching pursuit(DSAMP), and expectation-maximization Gaussian-model approximate message passing(EM-GAMP) under different compression ratios and a wide range of signal to noise ratios(SNRs). 展开更多
关键词 speech enhancement approximate message passing Gaussian model expectation maximization algorithm
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Parametric message passing-based relative navigation in joint tactical information distribution system 被引量:1
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作者 Nan Wu Bin Li +2 位作者 Hua Wang Liang Hou Jingming Kuang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2016年第1期81-89,共9页
Relative navigation is a key feature in the joint tactical information distribution system(JTIDS).A parametric message passing algorithm based on factor graph is proposed to perform relative navigation in JTIDS.Firs... Relative navigation is a key feature in the joint tactical information distribution system(JTIDS).A parametric message passing algorithm based on factor graph is proposed to perform relative navigation in JTIDS.First of all,the joint posterior distribution of all the terminals' positions is represented by factor graph.Because of the nonlinearity between the positions and time-of-arrival(TOA) measurement,messages cannot be obtained in closed forms by directly using the sum-product algorithm on factor graph.To this end,the Euclidean norm is approximated by Taylor expansion.Then,all the messages on the factor graph can be derived in Gaussian forms,which enables the terminals to transmit means and covariances.Finally,the impact of major error sources on the navigation performance are evaluated by Monte Carlo simulations,e.g.,range measurement noise,priors of position uncertainty and velocity noise.Results show that the proposed algorithm outperforms the extended Kalman filter and cooperative extended Kalman filter in both static and mobile scenarios of the JTIDS. 展开更多
关键词 joint tactical information distribution system(JTIDS) relative navigation parametric message passing factor graph.
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Gaussian Mixture-Learned Approximate Message Passing(GM-LAMP)Based Hybrid Precoders for mmWave Massive MIMO Systems
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作者 Shoukath Ali K Sajan P Philip Perarasi T 《China Communications》 SCIE CSCD 2024年第12期66-79,共14页
Hybrid precoder design is a key technique providing better antenna gain and reduced hardware complexity in millimeter-wave(mmWave)massive multiple-input multiple-output(MIMO)systems.In this paper,Gaussian Mixture lear... Hybrid precoder design is a key technique providing better antenna gain and reduced hardware complexity in millimeter-wave(mmWave)massive multiple-input multiple-output(MIMO)systems.In this paper,Gaussian Mixture learned approximate message passing(GM-LAMP)network is presented for the design of optimal hybrid precoders suitable for mmWave Massive MIMO systems.Optimal hybrid precoder designs using a compressive sensing scheme such as orthogonal matching pursuit(OMP)and its derivatives results in high computational complexity when the dimensionality of the sparse signal is high.This drawback can be addressed using classical iterative algorithms such as approximate message passing(AMP),which has comparatively low computational complexity.The drawbacks of AMP algorithm are fixed shrinkage parameter and non-consideration of prior distribution of the hybrid precoders.In this paper,the fixed shrinkage parameter problem of the AMP algorithm is addressed using learned AMP(LAMP)network,and is further enhanced as GMLAMP network using the concept of Gaussian Mixture distribution of the hybrid precoders.The simula-tion results show that the proposed GM-LAMP network achieves optimal hybrid precoder design with enhanced achievable rates,better accuracy and low computational complexity compared to the existing algorithms. 展开更多
关键词 approximate message passing deep neu-ral network Gaussian Mixture model massive MIMO millimeter wave
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Thread-Oriented Message-Passing Interface
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作者 Tong Weiqin Zhou Qinghua Gu Zhikui (School of Computer Engineering and Science) 《Advances in Manufacturing》 SCIE CAS 1998年第1期62-64,69,共4页
In this paper the limitations of the standard Message Passing Interface (MPI) are analyzed, then the technique of multithreading is introduced and a stand alone LWP (light weight process) extension to MPI is impleme... In this paper the limitations of the standard Message Passing Interface (MPI) are analyzed, then the technique of multithreading is introduced and a stand alone LWP (light weight process) extension to MPI is implemented. Experimental results show that system overhead is considerably diminished. 展开更多
关键词 THREAD message passing PERFORMANCE
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Message Passing Based Detection for Orthogonal Time Frequency Space Modulation
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作者 YUAN Zhengdao LIU Fei +1 位作者 GUO Qinghua WANG Zhongyong 《ZTE Communications》 2021年第4期34-44,共11页
The orthogonal time frequency space(OTFS)modulation has emerged as a promis⁃ing modulation scheme for wireless communications in high-mobility scenarios.An efficient detector is of paramount importance to harvesting t... The orthogonal time frequency space(OTFS)modulation has emerged as a promis⁃ing modulation scheme for wireless communications in high-mobility scenarios.An efficient detector is of paramount importance to harvesting the time and frequency diversities promised by OTFS.Recently,some message passing based detectors have been developed by exploiting the features of the OTFS channel matrices.In this paper,we provide an overview of some re⁃cent message passing based OTFS detectors,compare their performance,and shed some light on potential research on the design of message passing based OTFS receivers. 展开更多
关键词 OTFS DETECTION message passing belief propagation approximate message pass⁃ing(AMP) unitary AMP(UAMP)
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Dual Self-attention Fusion Message Neural Network for Virtual Screening in Drug Discovery by Molecular Property Prediction
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作者 Jingjing Wang Kangming Hou +2 位作者 Hao Chen Jing Fang Hongzhen Li 《Journal of Bionic Engineering》 2025年第1期354-369,共16页
The development of deep learning has made non-biochemical methods for molecular property prediction screening a reality,which can increase the experimental speed and reduce the experimental cost of relevant experiment... The development of deep learning has made non-biochemical methods for molecular property prediction screening a reality,which can increase the experimental speed and reduce the experimental cost of relevant experiments.There are currently two main approaches to representing molecules:(a)representing molecules by fixing molecular descriptors,and(b)representing molecules by graph convolutional neural networks.Currently,both of these Representative methods have achieved some results in their respective experiments.Based on past efforts,we propose a Dual Self-attention Fusion Message Neural Network(DSFMNN).DSFMNN uses a combination of dual self-attention mechanism and graph convolutional neural network.Advantages of DSFMNN:(1)The dual self-attention mechanism focuses not only on the relationship between individual subunits in a molecule but also on the relationship between the atoms and chemical bonds contained in each subunit.(2)On the directed molecular graph,a message delivery approach centered on directed molecular bonds is used.We test the performance of the model on eight publicly available datasets and compare the performance with several models.Based on the current experimental results,DSFMNN has superior performance compared to previous models on the datasets applied in this paper. 展开更多
关键词 Directed message passing network Deep learning Molecular property prediction Self-attention mechanism
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Effect of Railway Spacing on Aerodynamic Performance of 600 km/h Maglev Trains Passing Each Other 被引量:1
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作者 Bailong Sun Tian Li +1 位作者 Deng Qin Yan Li 《Fluid Dynamics & Materials Processing》 2025年第2期371-385,共15页
High-speed maglev trains(HSMTs)can run at high running speeds due to their unique design.The pressure waves that these trains generate while passing each other are therefore very intense,and can even have safety impli... High-speed maglev trains(HSMTs)can run at high running speeds due to their unique design.The pressure waves that these trains generate while passing each other are therefore very intense,and can even have safety implications.In order to reduce the transient impact of such waves,the standard k-ε turbulence model is used in this work to assess the effect of railway spacing on the aerodynamic loads,pressure and surrounding flow field of 600 km/h maglev trains passing each other in open air.The sliding mesh technique is used to determine the relative motion between the considered trains.The results show that the surface pressure is approximately linearly correlated with the square of the speed while the amplitude of the pressure wave on the train surface,side force,and rolling moment all have negative exponential relationships with the railway spacing. 展开更多
关键词 Railway spacing maglev train aerodynamic numerical simulation two trains passing each other
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Impact of message fatigue and individual behavioral responses on epidemiological spread in temporal simplicial networks 被引量:1
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作者 Xiao-Nan Fan Xuemei You 《Chinese Physics B》 2025年第3期32-43,共12页
Health information spreads rapidly,which can effectively control epidemics.However,the swift dissemination of information also has potential negative impacts,which increasingly attracts attention.Message fatigue refer... Health information spreads rapidly,which can effectively control epidemics.However,the swift dissemination of information also has potential negative impacts,which increasingly attracts attention.Message fatigue refers to the psychological response characterized by feelings of boredom and anxiety that occur after receiving an excessive amount of similar information.This phenomenon can alter individual behaviors related to epidemic prevention.Additionally,recent studies indicate that pairwise interactions alone are insufficient to describe complex social transmission processes,and higher-order structures representing group interactions are crucial.To address this,we develop a novel epidemic model that investigates the interactions between information,behavioral responses,and epidemics.Our model incorporates the impact of message fatigue on the entire transmission system.The information layer is modeled using a static simplicial network to capture group interactions,while the disease layer uses a time-varying network based on activity-driven model with attractiveness to represent the self-protection behaviors of susceptible individuals and self-isolation behaviors of infected individuals.We theoretically describe the co-evolution equations using the microscopic Markov chain approach(MMCA)and get the epidemic threshold.Experimental results show that while the negative impact of message fatigue on epidemic transmission is limited,it significantly weakens the group interactions depicted by higher-order structures.Individual behavioral responses strongly inhibit the epidemic.Our simulations using the Monte Carlo(MC)method demonstrate that greater intensity in these responses leads to clustering of susceptible individuals in the disease layer.Finally,we apply the proposed model to real networks to verify its reliability.In summary,our research results enhance the understanding of the information-epidemic coupling dynamics,and we expect to provide valuable guidance for managing future emerging epidemics. 展开更多
关键词 Monte Carlo simulation microscopic Markov chain approach message fatigue information-epidemic coupled spreading simplicial complex
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