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Federated Multi-Label Feature Selection via Dual-Layer Hybrid Breeding Cooperative Particle Swarm Optimization with Manifold and Sparsity Regularization
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作者 Songsong Zhang Huazhong Jin +5 位作者 Zhiwei Ye Jia Yang Jixin Zhang Dongfang Wu Xiao Zheng Dingfeng Song 《Computers, Materials & Continua》 2026年第1期1141-1159,共19页
Multi-label feature selection(MFS)is a crucial dimensionality reduction technique aimed at identifying informative features associated with multiple labels.However,traditional centralized methods face significant chal... Multi-label feature selection(MFS)is a crucial dimensionality reduction technique aimed at identifying informative features associated with multiple labels.However,traditional centralized methods face significant challenges in privacy-sensitive and distributed settings,often neglecting label dependencies and suffering from low computational efficiency.To address these issues,we introduce a novel framework,Fed-MFSDHBCPSO—federated MFS via dual-layer hybrid breeding cooperative particle swarm optimization algorithm with manifold and sparsity regularization(DHBCPSO-MSR).Leveraging the federated learning paradigm,Fed-MFSDHBCPSO allows clients to perform local feature selection(FS)using DHBCPSO-MSR.Locally selected feature subsets are encrypted with differential privacy(DP)and transmitted to a central server,where they are securely aggregated and refined through secure multi-party computation(SMPC)until global convergence is achieved.Within each client,DHBCPSO-MSR employs a dual-layer FS strategy.The inner layer constructs sample and label similarity graphs,generates Laplacian matrices to capture the manifold structure between samples and labels,and applies L2,1-norm regularization to sparsify the feature subset,yielding an optimized feature weight matrix.The outer layer uses a hybrid breeding cooperative particle swarm optimization algorithm to further refine the feature weight matrix and identify the optimal feature subset.The updated weight matrix is then fed back to the inner layer for further optimization.Comprehensive experiments on multiple real-world multi-label datasets demonstrate that Fed-MFSDHBCPSO consistently outperforms both centralized and federated baseline methods across several key evaluation metrics. 展开更多
关键词 Multi-label feature selection federated learning manifold regularization sparse constraints hybrid breeding optimization algorithm particle swarm optimizatio algorithm privacy protection
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Research on the special role of career planning in accelerating the efficiency of regular teaching for English major students
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作者 周王宏 苏丽 《海外英语》 2011年第14期391-392,共2页
The teaching contents of English major need to be designed flexibly with revolving around career planning as it is helpful for teachers to acquire creative thoughts and ideas in teaching.Especially,this can surely gua... The teaching contents of English major need to be designed flexibly with revolving around career planning as it is helpful for teachers to acquire creative thoughts and ideas in teaching.Especially,this can surely guarantee the remarkable efficiency of English major teaching. 展开更多
关键词 CAREER planning regular TEACHING English major EFFICIENCY
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Coalbed Methane Enrichment Regularity and Major Control Factors in the Xishanyao Formation in the Western Part of the Southern Junggar Basin 被引量:3
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作者 YUAN Yuan SHAN Yansheng +1 位作者 TANG Yue CAO Daiyong 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2020年第2期485-500,共16页
There are abundant coal and coalbed methane(CBM)resources in the Xishanyao Formation in the western region of the southern Junggar Basin,and the prospects for CBM exploration and development are promising.To promote t... There are abundant coal and coalbed methane(CBM)resources in the Xishanyao Formation in the western region of the southern Junggar Basin,and the prospects for CBM exploration and development are promising.To promote the exploration and development of the CBM resources of the Xishanyao Formation in this area,we studied previous coalfield survey data and CBM geological exploration data.Then,we analyzed the relationships between the gas content and methane concentration vs.coal seam thickness,burial depth,coal reservoir physical characteristics,hydrogeological conditions,and roof and floor lithology.In addition,we briefly discuss the main factors influencing CBM accumulation.First,we found that the coal strata of the Xishanyao Formation in the study area are relatively simple in structure,and the coal seam has a large thickness and burial depth,as well as moderately good roof and floor conditions.The hydrogeological conditions and coal reservoir physical characteristics are also conducive to the enrichment and a high yield of CBM.We believe that the preservation of CBM resources in the study area is mainly controlled by the structure,burial depth,and hydrogeological conditions.Furthermore,on the basis of the above results,the coal seam of the Xishanyao Formation in the synclinal shaft and buried at depths of 700-1000 m should be the first considered for development. 展开更多
关键词 coalbed methane enrichment regularITY major control factors Xishanyao Formation western area of the southern JUNGGAR Basin
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Distributed Majorization-Minimization for Laplacian Regularized Problems 被引量:1
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作者 Jonathan Tuck David Hallac Stephen Boyd 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2019年第1期45-52,共8页
We consider the problem of minimizing a block separable convex function(possibly nondifferentiable, and including constraints) plus Laplacian regularization, a problem that arises in applications including model fitti... We consider the problem of minimizing a block separable convex function(possibly nondifferentiable, and including constraints) plus Laplacian regularization, a problem that arises in applications including model fitting, regularizing stratified models, and multi-period portfolio optimization. We develop a distributed majorization-minimization method for this general problem, and derive a complete, self-contained, general,and simple proof of convergence. Our method is able to scale to very large problems, and we illustrate our approach on two applications, demonstrating its scalability and accuracy. 展开更多
关键词 CONVEX OPTIMIZATION DISTRIBUTED OPTIMIZATION GRAPHICAL networks LAPLACIAN regularization
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Occurrence Regularity of Major Damage Generations of Nilaparvata lugens(Stl) in Single Cropping Medium Rice Region in Sandu County of Guizhou Province
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作者 Liu Tianlei Jin Daochao +2 位作者 Yang Hong Ai Zhengxian Zhou Zhaoxia 《Plant Diseases and Pests》 CAS 2014年第2期4-9,共6页
In order to clarify occurrence regularity of major damage generations of Nilaparvata lugens( Stl) in Sandu Shui Autonomous County( Sandu County for short),Guizhou Province,a karst single cropping medium rice region,th... In order to clarify occurrence regularity of major damage generations of Nilaparvata lugens( Stl) in Sandu Shui Autonomous County( Sandu County for short),Guizhou Province,a karst single cropping medium rice region,the population dynamics of N. lugens were systematically studied using the methods of light trap and systematic field survey from 2009 to 2011. The results showed that the number of immigration generations caught by light trap and the actual population of N. lugens in fields were different among three years. The daily maximum trapping numbers of N. lugens amounted to 6 688 in 2009,which were 15. 3 and 2. 5 times of that in 2010 and 2011,respectively. The peak numbers in prediction nursery were 10 777,4 630 and 1 615 heads per hundred hills in 2009,2010 and 2011,respectively. The forth and fifth generations of N. lugens were the major damage generations in single cropping medium rice fields,and the initial immigration day was significantly related with primary-peak day. The occurrence degree of adults and nymphs of N. lugens varied with years and transplanting periods,and the peak days of N. lugens nymphs were from late July to early August in 2010 and 2011. The occurrence peaks of adults and nymphs in late transplanting paddy field were later than that in the early one. Meanwhile,the coexisted various growth periods of rice,due to time differences of transplanting,were conducive to inhabitation and reproduction of N. lugens. The population dynamics of spiders and Cyrtohinus lividipennis well synchronied with that of N. lugens,but predatory capacity of spiders and C. lividipennis was not enough to control N. lugens. 展开更多
关键词 Nilaparvata lugens(Stl) Population dynamics Single cropping medium rice Occurrence regularity
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Majority Coloring of r-Regular Digraph
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作者 XIA Wei-hao SHI Mei +2 位作者 XIAO Ming-yue CAI Jian-sheng WANG Ji-hui 《Chinese Quarterly Journal of Mathematics》 2022年第2期142-146,共5页
A majority k-coloring of a digraph D with k colors is an assignment c:V(D)→{1,2,…,k},such that for every v∈V(D),we have c(w)=c(v)for at most half of all out-neighbors w∈N^(+)(v).For a natural number k≥2,a 1/k-maj... A majority k-coloring of a digraph D with k colors is an assignment c:V(D)→{1,2,…,k},such that for every v∈V(D),we have c(w)=c(v)for at most half of all out-neighbors w∈N^(+)(v).For a natural number k≥2,a 1/k-majority coloring of a digraph is a coloring of the vertices such that each vertex receives the same color as at most a 1/k proportion of its out-neighbours.Kreutzer,Oum,Seymour,van der Zypen and Wood proved that every digraph has a majority 4-coloring and conjectured that every digraph admits a majority 3-coloring.Gireao,Kittipassorn and Popielarz proved that every digraph has a 1/k-majority 2k-coloring and conjectured that every digraph admits a 1/k majority(2k-1)-coloring.We showed that every r-regular digraph D with r>36ln(2n)has a majority 3-coloring and proved that every digraph D with minimum outdegreeδ+>2k2(2k-1)/(k-1)^(2)ln2(n)[(2k-1)n]has a 1/k-majority(2k-1)-coloring.We showed that every r-regular digraph D with r>36ln(2n)has a majority 3-coloring and proved that every digraph D with minimum outdegreeδ+>,2k^(2)(2k-1)^(2)/(k-1)^(2)ln[(2k-1)n]has a 1/k-majority(2k-1)-coloring.And we also proved that every r-regular digraph D with r>3k^(2)(2k-1)/(k-1)^2ln(2n)has a 1/k-majority(2k-1)-coloring. 展开更多
关键词 majority coloring regular digraph 1/k-majority coloring
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Research on Gymnastics Textbooks for Physical Education Major in Regular Colleges and Universities
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作者 Jiao Lizhi 《International Journal of Technology Management》 2016年第5期61-63,共3页
As an important part of physical education in regular colleges and universities, gymnastics has played an active role in the development of physical education in colleges and universities. Gymnastics textbooks used in... As an important part of physical education in regular colleges and universities, gymnastics has played an active role in the development of physical education in colleges and universities. Gymnastics textbooks used in regular colleges and universities has experienced decades of development and needs to be revised and improved under the current physical education situation in colleges and universities, so as to make the content more suitable for needs of college students. This paper adopts literature review, comparative analysis and statistics analysis method to study on the existing gymnastics textbook for physical education major in regular colleges and universities in China by combing development of textbook, summarizing the content and structure, exploring problems existing in the design of textbook in recent years, and then proposing certain improvement suggestions on gymnastics textbook for physical education major. 展开更多
关键词 regular COLLEGES and UNIVERSITIES PHYSICAL education GYMNASTICS TEXTBOOK
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Bottom Pressure Field Induced by Submerged Vehicle in Regular Waves
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作者 YI Wen−bin ZHANG Zhi−hong +4 位作者 DENG Hui MENG Qing−chang XIA Wei−xue WANG Chong LI Pei−hao 《船舶力学》 北大核心 2025年第6期863-877,共15页
The finite volume method was applied to numerically simulate the bottom pressure field induced by regular waves,vehicles in calm water and vehicles in regular waves.The solution of Navier-Stokes(N-S)equations in the v... The finite volume method was applied to numerically simulate the bottom pressure field induced by regular waves,vehicles in calm water and vehicles in regular waves.The solution of Navier-Stokes(N-S)equations in the vicinity of numerical wave tank's boundary was forced towards the wave theoretical solution by incorporating momentum source terms,thereby reducing adverse effects such as wave reflection.Simulations utilizing laminar flow,turbulent flow,and ideal fluid models were all found capable of effectively capturing the waveform and bottom pressure of regular waves,agreeing well with experimental data.In predicting the bottom pressure field of the submerged vehicle,turbulent simulations considering fluid viscosity and boundary layer development provided more accurate predictions for the stern region than inviscid simulations.Due to sphere's diffractive effect,the sphere's bottom pressure field in waves is not a linear superposition of the wave's and the sphere's bottom pressure field.However,a slender submerged vehicle exhibits a weaker diffractive effect on waves,thus the submerged vehicle's bottom pressure field in waves can be approximated as a linear superposition of the wave's and the submerged vehicle's bottom pressure field,which simplifies computation and analysis. 展开更多
关键词 regular wave submerged vehicle bottom pressure field numerical simulation
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Regular control surfaces of a toric patch and integer programming
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作者 WANG Han ZHU Chun-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第4期853-867,共15页
Toric patch is a kind of rational multisided patch,which is associated with a finite integer lattice points set A.A set of weights is defined which depend on a parameter according to regular decomposition of A.When al... Toric patch is a kind of rational multisided patch,which is associated with a finite integer lattice points set A.A set of weights is defined which depend on a parameter according to regular decomposition of A.When all weights of the patch tend to infinity,we obtain the limiting form of toric patch which is called its regular control surface.The diferent weights may induce the diferent regular control surfaces of the same toric patch.It prompts us to consider that how many regular control surfaces of a toric patch.In this paper,we study the regular decompositions of A by using integer programming method firstly,and then provide the relationship between all regular decompositions of A and corresponding state polytope.Moreover,we present that the number of regular control surfaces of a toric patch associated with A is equal to the number of regular decompositions of A.An algorithm to calculate the number of regular control surfaces of toric patch is provided.The algorithm also presents a method to construct all of the regular control surfaces of a toric patch.At last,the application of proposed result in shape deformation is demonstrated by several examples. 展开更多
关键词 toric patch regular control surfaces integer programming regular decompositions state poly-tope
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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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Gamma-ray spectral energy resolution calibration based on locally constrained regularization for scintillation detector response:methodology,numerical,and experimental analysis
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作者 Guo-Feng Yang Wen-Zheng Peng +3 位作者 Dong-Ming Liu Xiao-Long Wu Meng Chen Xiang-Jun Liu 《Nuclear Science and Techniques》 2025年第4期92-104,共13页
Energy resolution calibration is crucial for gamma-ray spectral analysis,as measured using a scintillation detector.A locally constrained regularization method was proposed to determine the resolution calibration para... Energy resolution calibration is crucial for gamma-ray spectral analysis,as measured using a scintillation detector.A locally constrained regularization method was proposed to determine the resolution calibration parameters.First,a Monte Carlo simulation model consistent with an actual measurement system was constructed to obtain the energy deposition distribution in the scintillation crystal.Subsequently,the regularization objective function is established based on weighted least squares and additional constraints.Additional constraints were designed using a special weighting scheme based on the incident gamma-ray energies.Subsequently,an intelligent algorithm was introduced to search for the optimal resolution calibration parameters by minimizing the objective function.The most appropriate regularization parameter was determined through mathematical experiments.When the regularization parameter was 30,the calibrated results exhibited the minimum RMSE.Simulations and test pit experiments were conducted to verify the performance of the proposed method.The simulation results demonstrate that the proposed algorithm can determine resolution calibration parameters more accurately than the traditional weighted least squares,and the test pit experimental results show that the R-squares between the calibrated and measured spectra are larger than 0.99.The accurate resolution calibration parameters determined by the proposed method lay the foundation for gamma-ray spectral processing and simulation benchmarking. 展开更多
关键词 Energy resolution regularIZATION Gaussian broadening Spectral analysis Scintillation detector
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Robust visual tracking using temporal regularization correlation filter with high-confidence strategy
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作者 Xiao-Gang Dong Ke-Xuan Li +2 位作者 Hong-Xia Mao Chen Hu Tian Pu 《Journal of Electronic Science and Technology》 2025年第2期81-96,共16页
Target tracking is an essential task in contemporary computer vision applications.However,its effectiveness is susceptible to model drift,due to the different appearances of targets,which often compromises tracking ro... Target tracking is an essential task in contemporary computer vision applications.However,its effectiveness is susceptible to model drift,due to the different appearances of targets,which often compromises tracking robustness and precision.In this paper,a universally applicable method based on correlation filters is introduced to mitigate model drift in complex scenarios.It employs temporal-confidence samples as a priori to guide the model update process and ensure its precision and consistency over a long period.An improved update mechanism based on the peak side-lobe to peak correlation energy(PSPCE)criterion is proposed,which selects high-confidence samples along the temporal dimension to update temporal-confidence samples.Extensive experiments on various benchmarks demonstrate that the proposed method achieves a competitive performance compared with the state-of-the-art methods.Especially when the target appearance changes significantly,our method is more robust and can achieve a balance between precision and speed.Specifically,on the object tracking benchmark(OTB-100)dataset,compared to the baseline,the tracking precision of our model improves by 8.8%,8.8%,5.1%,5.6%,and 6.9%for background clutter,deformation,occlusion,rotation,and illumination variation,respectively.The results indicate that this proposed method can significantly enhance the robustness and precision of target tracking in dynamic and challenging environments,offering a reliable solution for applications such as real-time monitoring,autonomous driving,and precision guidance. 展开更多
关键词 Appearance changes Correlation filter High-confidence strategy Temporal regularization Visual tracking
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2D Hydrodynamic Performance of a Bottom-Hinged Flap Breakwater:Pitching Motion Response Under Random Waves and Comparison with Regular Waves
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作者 YIN Zegao LI Feifan +1 位作者 ZHANG Chao LI Guoqing 《Journal of Ocean University of China》 2025年第5期1206-1222,共17页
To propel the application of a bottom-hinged flap breakwater in real sea conditions,a two-dimensional computational fluid dynamics numerical model was conducted to investigate the pitching motion response and wave att... To propel the application of a bottom-hinged flap breakwater in real sea conditions,a two-dimensional computational fluid dynamics numerical model was conducted to investigate the pitching motion response and wave attenuation in random waves.First,the flow velocity distribution characteristic of the pitching flap at typical times was summarized.Then,the effects of random wave and flap parameters on the flap’s significant pitching angle amplitude θ_(s) and hydrodynamic coefficients were investigated.The results reveal that θ_(s) and wave reflection coefficient K_(r) values increase with increasing significant wave height Hs,random wave steepnessλs,and flap relative height.As Hs andλs increase,the wave transmission coefficient K_(t) increases while the wave dissipation coefficient K_(d) decreases.Additionally,K_(t) decreases with increasing flap relative height.With increasing equivalent damping coefficient ratio,θ_(s) and K_(t) decrease,while K_(r) and K_(d) increase.The relationships betweenλs and flap relative height on the one hand andθ_(s),K_(r),K_(t),and K_(d) in random waves on the other hand are compared to those in regular waves.Based on the equal incident wave energy and the equal incident wave energy flux,the pitching flap performs better in the wave attenuation capability under random waves than in regular waves.Finally,the dimensionless parameters with respect to random wave and flap were used to derive the K_(r) and K_(t) for-mulae,which were validated with the related data. 展开更多
关键词 pitching flap pitching angle amplitude hydrodynamic coefficients random waves regular waves
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Uniform regularity for the Navier-Stokes-Fourier system in T^(n)
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作者 FAN Ji-shan ZHOU Yong 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第2期501-508,共8页
In this paper,we prove the uniform regularity estimates for the Navier-Stokes-Fourier system in T^(n).
关键词 Navier-Stokes-Fourier regularITY smooth solutions
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Enhancing Adversarial Example Transferability via Regularized Constrained Feature Layer
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作者 Xiaoyin Yi Long Chen +2 位作者 Jiacheng Huang Ning Yu Qian Huang 《Computers, Materials & Continua》 2025年第4期157-175,共19页
Transfer-based Adversarial Attacks(TAAs)can deceive a victim model even without prior knowledge.This is achieved by leveraging the property of adversarial examples.That is,when generated from a surrogate model,they re... Transfer-based Adversarial Attacks(TAAs)can deceive a victim model even without prior knowledge.This is achieved by leveraging the property of adversarial examples.That is,when generated from a surrogate model,they retain their features if applied to other models due to their good transferability.However,adversarial examples often exhibit overfitting,as they are tailored to exploit the particular architecture and feature representation of source models.Consequently,when attempting black-box transfer attacks on different target models,their effectiveness is decreased.To solve this problem,this study proposes an approach based on a Regularized Constrained Feature Layer(RCFL).The proposed method first uses regularization constraints to attenuate the initial examples of low-frequency components.Perturbations are then added to a pre-specified layer of the source model using the back-propagation technique,in order to modify the original adversarial examples.Afterward,a regularized loss function is used to enhance the black-box transferability between different target models.The proposed method is finally tested on the ImageNet,CIFAR-100,and Stanford Car datasets with various target models,The obtained results demonstrate that it achieves a significantly higher transfer-based adversarial attack success rate compared with baseline techniques. 展开更多
关键词 Adversarial examples black-box transferability regularized constrained transfer-based adversarial attacks
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Constructing Optimal Baseline Designs from Regular Designs
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作者 Shiyu Li 《Open Journal of Applied Sciences》 2025年第2期463-479,共17页
This paper delves into the baseline design under the baseline parameterization model in experimental design, focusing on the relationship between the K-aberration criterion and the word length pattern (WLP) of regular... This paper delves into the baseline design under the baseline parameterization model in experimental design, focusing on the relationship between the K-aberration criterion and the word length pattern (WLP) of regular two-level designs. The paper provides a detailed analysis of the relationship between K5and the WLP for regular two-level designs with resolution t=3, and proposes corresponding theoretical results. These results not only theoretically reveal the connection between the orthogonal parameterization model and the baseline parameterization model but also provide theoretical support for finding the K-aberration optimal regular two-level baseline designs. It demonstrates how to apply these theories to evaluate and select the optimal experimental designs. In practical applications, experimental designers can utilize the theoretical results of this paper to quickly assess and select regular two-level baseline designs with minimal K-aberration by analyzing the WLP of the experimental design. This allows for the identification of key factors that significantly affect the experimental outcomes without frequently changing the factor levels, thereby maximizing the benefits of the experiment. 展开更多
关键词 Baseline Parameterization K-Aberration Criterion regular Design Word Length Pattern
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Regularity criteria of weak solutions to the 3D axisymmetric Navier-Stokes equations
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作者 ZHAO Ji-hong 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第4期773-784,共12页
We investigate a sufficient condition,in terms of the azimuthal componentω^(θ)ofω=curl u in cylindrical coordinates,for the regularity of axisymmetric weak solutions to the 3D incompressible Navier-Stokes equations... We investigate a sufficient condition,in terms of the azimuthal componentω^(θ)ofω=curl u in cylindrical coordinates,for the regularity of axisymmetric weak solutions to the 3D incompressible Navier-Stokes equations.More precisely,we prove that if■,then the weak solution u is actually a regular solution.Similar regularity criterion still holds in the homogeneous Triebel-Lizorkin spaces. 展开更多
关键词 Navier-Stokes equations axisymmetric weak solutions regularity criteria Besov spaces
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Deterministic Convergence Analysis for GRU Networks via Smoothing Regularization
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作者 Qian Zhu Qian Kang +2 位作者 Tao Xu Dengxiu Yu Zhen Wang 《Computers, Materials & Continua》 2025年第5期1855-1879,共25页
In this study,we present a deterministic convergence analysis of Gated Recurrent Unit(GRU)networks enhanced by a smoothing L_(1)regularization technique.While GRU architectures effectively mitigate gradient vanishing/... In this study,we present a deterministic convergence analysis of Gated Recurrent Unit(GRU)networks enhanced by a smoothing L_(1)regularization technique.While GRU architectures effectively mitigate gradient vanishing/exploding issues in sequential modeling,they remain prone to overfitting,particularly under noisy or limited training data.Traditional L_(1)regularization,despite enforcing sparsity and accelerating optimization,introduces non-differentiable points in the error function,leading to oscillations during training.To address this,we propose a novel smoothing L_(1)regularization framework that replaces the non-differentiable absolute function with a quadratic approximation,ensuring gradient continuity and stabilizing the optimization landscape.Theoretically,we rigorously establish threekey properties of the resulting smoothing L_(1)-regularizedGRU(SL_(1)-GRU)model:(1)monotonic decrease of the error function across iterations,(2)weak convergence characterized by vanishing gradients as iterations approach infinity,and(3)strong convergence of network weights to fixed points under finite conditions.Comprehensive experiments on benchmark datasets-spanning function approximation,classification(KDD Cup 1999 Data,MNIST),and regression tasks(Boston Housing,Energy Efficiency)-demonstrate SL_(1)-GRUs superiority over baseline models(RNN,LSTM,GRU,L_(1)-GRU,L2-GRU).Empirical results reveal that SL_(1)-GRU achieves 1.0%-2.4%higher test accuracy in classification,7.8%-15.4%lower mean squared error in regression compared to unregularized GRU,while reducing training time by 8.7%-20.1%.These outcomes validate the method’s efficacy in balancing computational efficiency and generalization capability,and they strongly corroborate the theoretical calculations.The proposed framework not only resolves the non-differentiability challenge of L_(1)regularization but also provides a theoretical foundation for convergence guarantees in recurrent neural network training. 展开更多
关键词 Gated recurrent unit regularIZATION convergence
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Postoperative regular follow-up in hepatocellular carcinoma:Transforming early detection into survival gains
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作者 Alfred Wei Chieh Kow 《Hepatobiliary & Pancreatic Diseases International》 2025年第3期237-238,共2页
Hepatocellular carcinoma(HCC)remains one of the most challenging malignancies worldwide,with surgical resection being the cornerstone of curative treatment for early-stage disease[1,2].Despite significant advancements... Hepatocellular carcinoma(HCC)remains one of the most challenging malignancies worldwide,with surgical resection being the cornerstone of curative treatment for early-stage disease[1,2].Despite significant advancements in surgical techniques and perioperative management,the high incidence of postoperative recurrence following hepatectomy(exceeding 50%within 5 years)continues to be a major obstacle to long-term survival[3,4].The study by Yao et al.published in this issue of Hepatobiliary&Pancreatic Diseases International provides compelling evidence on a critical yet often overlooked aspect of HCC management—the impact of compliance to postoperative regular follow-up on long-term outcomes after curative resection[5]. 展开更多
关键词 hepatocellular carcinoma hcc remains hepatocellular carcinoma postoperative follow up RECURRENCE regular follow up survival outcomes surgical resection compliance
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Distribution,types,metallogenic regularity and exploration potential analysis of zirconium deposit in China
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作者 Qiong-wen Liang Yong-shen Li +8 位作者 Ying-cai Sun De-gao Zhai Hai-rui Sun Shi-xu Zhou Bang-lu Zhang Xin Lü Jin-chi Xu Xue-feng Li Yi-lun Du 《China Geology》 2025年第2期408-430,共23页
Zirconium,prized for its exceptional corrosion resistance,high melting point,and unique nuclear properties,plays a critical role in multiple industrial sectors globally.Zirconium deposits are categorized into endogene... Zirconium,prized for its exceptional corrosion resistance,high melting point,and unique nuclear properties,plays a critical role in multiple industrial sectors globally.Zirconium deposits are categorized into endogenetic and exogenetic types in China.Endogenetic deposits-including alkaline rock-,alkaline granite-,and pegmatite-type mineralizations-predominantly occur along the Tarim Craton’s northern margin,the North China Craton,the southern Greater Khingan metallogenic belt,and the Yangtze Craton’s western margin.Exogenetic deposits,comprising clastic sedimentary,weathering crust,and fragmentation types,are concentrated in South China’s coastal zones.Endogenetic mineralization formed during Permian-Cretaceous magmatic-hydrothermal events linked to evolved alkaline granitic systems,while exogenetic deposits developed in Quaternary periods through weathering of zirconium-rich protoliths.However,economic extraction of endogenetic deposits remains constrained by rare earth element(REE)associations and radioactive complexities.Currently,China’s most economically significant reserves derive from clastic sedimentary systems,particularly coastal placer deposits.This study systematically synthesizes the spatial distribution and metallogenic mechanisms of Chinese zirconium deposits,offering strategic insights for resource exploration and sustainable utilization. 展开更多
关键词 Zirconium deposit Metallogenic regularity Critical mineral resources Prospecting potential Geological survey engineering
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