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Mechanical response identification of local interconnections in board- level packaging structures under projectile penetration using Bayesian regularization
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作者 Xu Long Yuntao Hu Irfan Ali 《Defence Technology(防务技术)》 2025年第7期79-95,共17页
Modern warfare demands weapons capable of penetrating substantial structures,which presents sig-nificant challenges to the reliability of the electronic devices that are crucial to the weapon's perfor-mance.Due to... Modern warfare demands weapons capable of penetrating substantial structures,which presents sig-nificant challenges to the reliability of the electronic devices that are crucial to the weapon's perfor-mance.Due to miniaturization of electronic components,it is challenging to directly measure or numerically predict the mechanical response of small-sized critical interconnections in board-level packaging structures to ensure the mechanical reliability of electronic devices in projectiles under harsh working conditions.To address this issue,an indirect measurement method using the Bayesian regularization-based load identification was proposed in this study based on finite element(FE)pre-dictions to estimate the load applied on critical interconnections of board-level packaging structures during the process of projectile penetration.For predicting the high-strain-rate penetration process,an FE model was established with elasto-plastic constitutive models of the representative packaging ma-terials(that is,solder material and epoxy molding compound)in which material constitutive parameters were calibrated against the experimental results by using the split-Hopkinson pressure bar.As the impact-induced dynamic bending of the printed circuit board resulted in an alternating tensile-compressive loading on the solder joints during penetration,the corner solder joints in the edge re-gions experience the highest S11 and strain,making them more prone to failure.Based on FE predictions at different structural scales,an improved Bayesian method based on augmented Tikhonov regulariza-tion was theoretically proposed to address the issues of ill-posed matrix inversion and noise sensitivity in the load identification at the critical solder joints.By incorporating a wavelet thresholding technique,the method resolves the problem of poor load identification accuracy at high noise levels.The proposed method achieves satisfactorily small relative errors and high correlation coefficients in identifying the mechanical response of local interconnections in board-level packaging structures,while significantly balancing the smoothness of response curves with the accuracy of peak identification.At medium and low noise levels,the relative error is less than 6%,while it is less than 10%at high noise levels.The proposed method provides an effective indirect approach for the boundary conditions of localized solder joints during the projectile penetration process,and its philosophy can be readily extended to other scenarios of multiscale analysis for highly nonlinear materials and structures under extreme loading conditions. 展开更多
关键词 Board-level packaging structure High strain-rate constitutive model Load identification Bayesian regularization Wavelet thresholding method
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Robust elastic impedance inversion using L1-norm misfit function and constraint regularization 被引量:1
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作者 潘新朋 张广智 +3 位作者 宋佳杰 张佳佳 王保丽 印兴耀 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第1期227-235,共9页
The classical elastic impedance (EI) inversion method, however, is based on the L2-norm misfit function and considerably sensitive to outliers, assuming the noise of the seismic data to be the Guassian-distribution.... The classical elastic impedance (EI) inversion method, however, is based on the L2-norm misfit function and considerably sensitive to outliers, assuming the noise of the seismic data to be the Guassian-distribution. So we have developed a more robust elastic impedance inversion based on the Ll-norm misfit function, and the noise is assumed to be non-Gaussian. Meanwhile, some regularization methods including the sparse constraint regularization and elastic impedance point constraint regularization are incorporated to improve the ill-posed characteristics of the seismic inversion problem. Firstly, we create the Ll-norm misfit objective function of pre-stack inversion problem based on the Bayesian scheme within the sparse constraint regularization and elastic impedance point constraint regularization. And then, we obtain more robust elastic impedances of different angles which are less sensitive to outliers in seismic data by using the IRLS strategy. Finally, we extract the P-wave and S-wave velocity and density by using the more stable parameter extraction method. Tests on synthetic data show that the P-wave and S-wave velocity and density parameters are still estimated reasonable with moderate noise. A test on the real data set shows that compared to the results of the classical elastic impedance inversion method, the estimated results using the proposed method can get better lateral continuity and more distinct show of the gas, verifying the feasibility and stability of the method. 展开更多
关键词 elastic impedance (EI) inversion Ll-norm misfit function sparse constraint regularization elastic impedance point constraint regularization IRLS strategy
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Efficient multiuser detector based on box-constrained dichotomous coordinate descent and regularization 被引量:1
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作者 全智 刘杰 《Journal of Central South University》 SCIE EI CAS 2012年第6期1570-1576,共7页
The presented iterative multiuser detection technique was based on joint deregularized and box-constrained solution to quadratic optimization with iterations similar to that used in the nonstationary Tikhonov iterated... The presented iterative multiuser detection technique was based on joint deregularized and box-constrained solution to quadratic optimization with iterations similar to that used in the nonstationary Tikhonov iterated algorithm.The deregularization maximized the energy of the solution,which was opposite to the Tikhonov regularization where the energy was minimized.However,combined with box-constraints,the deregularization forced the solution to be close to the binary set.It further exploited the box-constrained dichotomous coordinate descent algorithm and adapted it to the nonstationary iterative Tikhonov regularization to present an efficient detector.As a result,the worst-case and average complexity are reduced down as K2.8 and K2.5 floating point operation per second,respectively.The development improves the "efficient frontier" in multiuser detection,which is illustrated by simulation results.In addition,most operations in the detector are additions and bit-shifts.This makes the proposed technique attractive for fixed-point hardware implementation. 展开更多
关键词 dichotomous coordinate descent de-regularization low complexity multiuser detection Tikhonov regularization
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New normalized LMS adaptive filter with a variable regularization factor 被引量:9
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作者 LI Zhoufan LI Dan +1 位作者 XU Xinlong ZHANG Jianqiu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第2期259-269,共11页
A new normalized least mean square(NLMS) adaptive filter is first derived from a cost function, which incorporates the conventional one of the NLMS with a minimum-disturbance(MD)constraint. A variable regularization f... A new normalized least mean square(NLMS) adaptive filter is first derived from a cost function, which incorporates the conventional one of the NLMS with a minimum-disturbance(MD)constraint. A variable regularization factor(RF) is then employed to control the contribution made by the MD constraint in the cost function. Analysis results show that the RF can be taken as a combination of the step size and regularization parameter in the conventional NLMS. This implies that these parameters can be jointly controlled by simply tuning the RF as the proposed algorithm does. It also demonstrates that the RF can accelerate the convergence rate of the proposed algorithm and its optimal value can be obtained by minimizing the squared noise-free posteriori error. A method for automatically determining the value of the RF is also presented, which is free of any prior knowledge of the noise. While simulation results verify the analytical ones, it is also illustrated that the performance of the proposed algorithm is superior to the state-of-art ones in both the steady-state misalignment and the convergence rate. A novel algorithm is proposed to solve some problems. Simulation results show the effectiveness of the proposed algorithm. 展开更多
关键词 adaptive filtering normalized least mean SQUARE (NLMS) minimum-disturbance (MD) constraint VARIABLE regularization VARIABLE STEP-SIZE NLMS
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Image decomposition using adaptive regularization and div(BMO) 被引量:2
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作者 Chengwu Lu Guoxiang Song 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第2期358-364,共7页
In order to avoid staircasing effect and preserve small scale texture information for the classical total variation regularization, a new minimization energy functional model for image decomposition is proposed. First... In order to avoid staircasing effect and preserve small scale texture information for the classical total variation regularization, a new minimization energy functional model for image decomposition is proposed. Firstly, an adaptive regularization based on the local feature of images is introduced to substitute total variational regularization. The oscillatory component containing texture and/or noise is modeled in generalized function space div (BMO). And then, the existence and uniqueness of the minimizer for proposed model are proved. Finally, the gradient descent flow of the Euler-Lagrange equations for the new model is numerically implemented by using a finite difference method. Experiments show that the proposed model is very robust to noise, and the staircasing effect is avoided efficiently, while edges and textures are well remained. 展开更多
关键词 image decomposition regularization total variation space div (BMO)
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Wavelet-based L_(1/2) regularization for CS-TomoSAR imaging of forested area 被引量:1
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作者 BI Hui CHENG Yuan +1 位作者 ZHU Daiyin HONG Wen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第6期1160-1166,共7页
Tomographic synthetic aperture radar(TomoSAR)imaging exploits the antenna array measurements taken at different elevation aperture to recover the reflectivity function along the elevation direction.In these years,for ... Tomographic synthetic aperture radar(TomoSAR)imaging exploits the antenna array measurements taken at different elevation aperture to recover the reflectivity function along the elevation direction.In these years,for the sparse elevation distribution,compressive sensing(CS)is a developed favorable technique for the high-resolution elevation reconstruction in TomoSAR by solving an L_(1) regularization problem.However,because the elevation distribution in the forested area is nonsparse,if we want to use CS in the recovery,some basis,such as wavelet,should be exploited in the sparse L_(1/2) representation of the elevation reflectivity function.This paper presents a novel wavelet-based L_(2) regularization CS-TomoSAR imaging method of the forested area.In the proposed method,we first construct a wavelet basis,which can sparsely represent the elevation reflectivity function of the forested area,and then reconstruct the elevation distribution by using the L_(1/2) regularization technique.Compared to the wavelet-based L_(1) regularization TomoSAR imaging,the proposed method can improve the elevation recovered quality efficiently. 展开更多
关键词 tomographic synthetic aperture radar(TomoSAR) compressive sensing(CS) L_(1/2)regularization wavelet basis
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Anisotropic fourth-order diffusion regularization for multiframe super-resolution reconstruction
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作者 黄淑英 杨勇 王国宇 《Journal of Central South University》 SCIE EI CAS 2013年第11期3180-3186,共7页
A novel rcgularization-based approach is presented for super-resolution reconstruction in order to achieve good tradeoff between noise removal and edge preservation. The method is developed by using L1 norm as data fi... A novel rcgularization-based approach is presented for super-resolution reconstruction in order to achieve good tradeoff between noise removal and edge preservation. The method is developed by using L1 norm as data fidelity term and anisotropic fourth-order diffusion model as a regularization item to constrain the smoothness of the reconstructed images. To evaluate and prove the performance of the proposed method, series of experiments and comparisons with some existing methods including bi-cubic interpolation method and bilateral total variation method are carried out. Numerical results on synthetic data show that the PSNR improvement of the proposed method is approximately 1.0906 dB on average compared to bilateral total variation method, and the results on real videos indicate that the proposed algorithm is also effective in terms of removing visual artifacts and preserving edges in restored images. 展开更多
关键词 SUPER-RESOLUTION anisotropic fourth-order diffusion bilateral total variation regularization
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An improved four-dimensional variation source term inversion model with observation error regularization
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作者 Chao-shuai Han Xue-zheng Zhu +3 位作者 Jin Gu Guo-hui Yan Xiao-hui Gao Qin-wen Zuo 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第6期349-360,共12页
Aiming at the Four-Dimensional Variation source term inversion algorithm proposed earlier,the observation error regularization factor is introduced to improve the prediction accuracy of the diffusion model,and an impr... Aiming at the Four-Dimensional Variation source term inversion algorithm proposed earlier,the observation error regularization factor is introduced to improve the prediction accuracy of the diffusion model,and an improved Four-Dimensional Variation source term inversion algorithm with observation error regularization(OER-4DVAR STI model)is formed.Firstly,by constructing the inversion process and basic model of OER-4DVAR STI model,its basic principle and logical structure are studied.Secondly,the observation error regularization factor estimation method based on Bayesian optimization is proposed,and the error factor is separated and optimized by two parameters:error statistical time and deviation degree.Finally,the scientific,feasible and advanced nature of the OER-4DVAR STI model are verified by numerical simulation and tracer test data.The experimental results show that OER-4DVAR STI model can better reverse calculate the hazard source term information under the conditions of high atmospheric stability and flat underlying surface.Compared with the previous inversion algorithm,the source intensity estimation accuracy of OER-4DVAR STI model is improved by about 46.97%,and the source location estimation accuracy is improved by about 26.72%. 展开更多
关键词 Source term inversion Four dimensional variation Observation error regularization factor Bayesian optimization SF6 tracer test
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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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Solutions to SU(n+1)Toda systems with cone singularities via toric curves on compact Riemann surfaces
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作者 Jingyu Mu Yiqian Shi and Bin Xu 《中国科学技术大学学报》 北大核心 2025年第5期2-13,1,I0001,共14页
On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1... On a compact Riemann surface with finite punctures P_(1),…P_(k),we define toric curves as multivalued,totallyunramified holomorphic maps to P^(n)with monodromy in a maximal torus of PSU(n+1).Toric solutions to SU(n+1)Todasystems on X\{P_(1);…;P_(k)}are recognized by the associated toric curves in.We introduce character n-ensembles as-tuples of meromorphic one-forms with simple poles and purely imaginary periods,generating toric curves on minus finitelymany points.On X,we establish a correspondence between character-ensembles and toric solutions to the SU(n+1)system with finitely many cone singularities.Our approach not only broadens seminal solutions with two conesingularities on the Riemann sphere,as classified by Jost-Wang(Int.Math.Res.Not.,2002,(6):277-290)andLin-Wei-Ye(Invent.Math.,2012,190(1):169-207),but also advances beyond the limits of Lin-Yang-Zhong’s existencetheorems(J.Differential Geom.,2020,114(2):337-391)by introducing a new solution class. 展开更多
关键词 SU(n+1)Toda system regular singularity unitary curve toric solution character ensemble
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The Applications of CRISPR Screening in Aging Research
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作者 XU Jia-Xin JING Yao-Bin +1 位作者 QU Jing LIU Guang-Hui 《中国生物化学与分子生物学报》 CAS CSCD 北大核心 2024年第9期1186-1196,共11页
The advancement of Clustered Regularly Interspaced Short Palindromic Repeats(CRISPR)gene editing technology has revolutionized the comprehension of human genome,propelling molecular and cellular biology research into ... The advancement of Clustered Regularly Interspaced Short Palindromic Repeats(CRISPR)gene editing technology has revolutionized the comprehension of human genome,propelling molecular and cellular biology research into unexplored realms and accelerating progress in life sciences and medicine.CRISPR-based gene screening,recognized for its efficiency and practicality,is widely utilized across diverse biological fields.Aging is a multifaceted process governed by a myriad of genetic and epigenetic factors.Unraveling the genes regulating aging holds promise for understanding this intricate phenomenon and devising strategies for its assessment and intervention.This review provides a comprehensive overview of the progress in CRISPR screening and its applications in aging research,while also offering insights into future directions.CRISPR-based genetic-manipulation tools are positioned as indispensable instruments for mitigating aging and managing age-related diseases. 展开更多
关键词 Clustered Regularly Interspaced Short Palindromic Repeats(CRISPR) genetic screening AGING
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桥梁断面静力三分力系数的人工神经网络识别 被引量:5
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作者 李林 李乔 廖海黎 《西南交通大学学报》 EI CSCD 北大核心 2004年第6期740-743,757,共5页
通过风洞模型试验得到了足够的样本,在此基础上利用MATLAB神经网络工具箱构造了2个BP人工神经网络;采用BR(Bayesianregularization)算法,比较了不同坐标系下的静力三分力系数的训练结果,得出4层网络比较有效且具有较高精度的结论.最后,... 通过风洞模型试验得到了足够的样本,在此基础上利用MATLAB神经网络工具箱构造了2个BP人工神经网络;采用BR(Bayesianregularization)算法,比较了不同坐标系下的静力三分力系数的训练结果,得出4层网络比较有效且具有较高精度的结论.最后,提出了应用人工神经网络需要注意的问题. 展开更多
关键词 静力三分力系数 BR(Bayesian regularization)算法 BP人工神经网络
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嗜热链球菌中CRISPR序列的检测与同源性分析 被引量:9
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作者 邓凯波 霍贵成 《食品科学》 EI CAS CSCD 北大核心 2013年第3期153-157,共5页
为探明内蒙古的8株嗜热链球菌的CRISPR,用PCR方法扩增了其CRISPR序列,并采用生物信息学方法分析和预测了重复序列(direct repeat,DR)的同源性及二级结构。结果表明:除S4只含有一个CRISPR结构外,其余7株嗜热链球菌均检测出3条CRISPR序列... 为探明内蒙古的8株嗜热链球菌的CRISPR,用PCR方法扩增了其CRISPR序列,并采用生物信息学方法分析和预测了重复序列(direct repeat,DR)的同源性及二级结构。结果表明:除S4只含有一个CRISPR结构外,其余7株嗜热链球菌均检测出3条CRISPR序列,远高于CRISPR database公布细菌中具有该结构的比例(46.4%),且分别具特异性的重复序列(DR1~DR3);CRISPR最长达2853bp,最短仅101bp。对DR的二级结构预测发现,DR1~DR3均能形成回文结构,但茎环大小会有差异;在同源性比对中发现,除多数同属或同种外,供试DR还与个别远缘菌种具有高同源性,这种现象证明了供试菌株的CRISPR序列同样存在的水平基因转移,并可能存在其他的进化进程。 展开更多
关键词 嗜热链球菌 clustered regularly interspaced SHORT palindromic repeats(CRISPR)检测 同源性
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E^d带权点集的Regular三角化的构造算法 被引量:3
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作者 吴壮志 怀进鹏 杨钦 《计算机学报》 EI CSCD 北大核心 2002年第11期1243-1249,共7页
该文提出了一种构造带权点集的Regular三角化的算法,此算法统一了构造点集的Delauany三角化的Bowyer/Waston算法.如果采用一种称为Delaunay树的数据结构来辅助点的定位,则算法的效率为 O(nlogn+n[d/2]).与Edelsbrunner和Shah提出的局... 该文提出了一种构造带权点集的Regular三角化的算法,此算法统一了构造点集的Delauany三角化的Bowyer/Waston算法.如果采用一种称为Delaunay树的数据结构来辅助点的定位,则算法的效率为 O(nlogn+n[d/2]).与Edelsbrunner和Shah提出的局部变换算法相比,此算法从理论和实现两方面都要简单一些.算法可以应用到曲线曲面重构和分子建模等领域. 展开更多
关键词 E^d带权点集 Regular三角化 构造算法 Power距离 带权alpha复形 数据结构
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Use of X-ray computed tomography to study structures and particle contacts of granite residual soil 被引量:19
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作者 SUN Yin-lei TANG Lian-sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第4期938-954,共17页
A small problem about soil particle regularization and contacts but essential to geotechnical engineering was studied.The soils sourced from Guangzhou and Xiamen were sieved into five different particle scale ranges(d... A small problem about soil particle regularization and contacts but essential to geotechnical engineering was studied.The soils sourced from Guangzhou and Xiamen were sieved into five different particle scale ranges(d<0.075 mm,0.075 mm≤d<0.1 mm,0.1 mm≤d<0.2 mm,0.2 mm≤d<0.5 mm and 0.5 mm≤d<1.0 mm)to study the structures and particle contacts of granite residual soil.The X-ray micro computed tomography method was used to reconstruct the microstructure of granite residual soil.The particle was identified and regularized using principal component analysis(PCA).The particle contacts and geometrical characteristics in 3D space were analyzed and summarized using statistical analyses.The results demonstrate that the main types of contact among the particles are face-face,face-angle,face-edge,edge-edge,edge-angle and angle-angle contacts for particle sizes less than 0.2 mm.When the particle sizes are greater than 0.2 mm,the contacts are effectively summarized as face-face,face-angle,face-edge,edge-edge,edge-angle,angle-angle,sphere-sphere,sphere-face,sphere-edge and sphere-angle contacts.The differences in porosity among the original sample,reconstructed sample and regularized sample are closely related to the water-swelling and water-disintegrable characteristics of granite residual soil. 展开更多
关键词 X-ray computed tomography granite residual soil RECONSTRUCTION regularization particle contact
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Measuring internal residual stress in Al-Cu alloy forgings by crack compliance method with optimized parameters 被引量:10
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作者 DONG Fei YI You-ping HUANG Shi-quan 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第11期3163-3174,共12页
Measuring the internal stress of Al alloy forgings accurately is critical for controlling the deformation during the subsequent machine process.In this work,the crack compliance method was used to calculate the intern... Measuring the internal stress of Al alloy forgings accurately is critical for controlling the deformation during the subsequent machine process.In this work,the crack compliance method was used to calculate the internal residual stress of Al-Cu high strength alloys,and the effect of various model parameters of crack compliance method on the calculated precision was studied by combining the numerical simulation and experimental method.The results show that the precision first increased and then decreased with increasing the crack range.The decreased precision when using a high crack range was due to the strain fluctuation during the machining process,and the optimized crack range was 71%of the thickness of forgings.Low orders of Legendre polynomial can result in residual stress curve more smooth,while high orders led to the occurrence of distortion.The Tikhonov regularization method effectively suppressed the distortion of residual stress caused by the fluctuation of strain data,which significantly improved the precision.In addition,The crack compliance method with optimized parameters was used to measure the residual stress of Al-Cu alloy with different quenching methods.The calculated results demonstrated that the distribution of residual stress was obtained accurately. 展开更多
关键词 residual stress crack compliance method crack range interpolation orders Tikhonov regularization method
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带权点集Laguerre图的增量算法与软件设计研究 被引量:3
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作者 张赋 李旭东 《计算机工程与应用》 CSCD 2012年第30期10-13,18,共5页
Laguerre图作为Voronoi图的推广,在计算几何学、材料科学等领域中有着重要应用。重点讨论了带权点集Regular三角化的增量算法以及根据其对偶性质构造Laguerre图的实现过程;通过研究球填充带权点集对Laguerre图胞体结构特征的影响,在此... Laguerre图作为Voronoi图的推广,在计算几何学、材料科学等领域中有着重要应用。重点讨论了带权点集Regular三角化的增量算法以及根据其对偶性质构造Laguerre图的实现过程;通过研究球填充带权点集对Laguerre图胞体结构特征的影响,在此基础上开发了用于参数化、自动化、可视化构造Laguerre图的软件;利用软件给出了多晶体材料与泡沫材料微结构仿真的应用实例,验证了软件的有效性。 展开更多
关键词 Laguerre图 Regular三角化 增量算法 材料微结构
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Fast cross validation for regularized extreme learning machine 被引量:9
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作者 Yongping Zhao Kangkang Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第5期895-900,共6页
A method for fast 1-fold cross validation is proposed for the regularized extreme learning machine (RELM). The computational time of fast l-fold cross validation increases as the fold number decreases, which is oppo... A method for fast 1-fold cross validation is proposed for the regularized extreme learning machine (RELM). The computational time of fast l-fold cross validation increases as the fold number decreases, which is opposite to that of naive 1-fold cross validation. As opposed to naive l-fold cross validation, fast l-fold cross validation takes the advantage in terms of computational time, especially for the large fold number such as l 〉 20. To corroborate the efficacy and feasibility of fast l-fold cross validation, experiments on five benchmark regression data sets are evaluated. 展开更多
关键词 extreme learning machine (ELM) regularization theory cross validation neural networks.
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三维限定Voronoi网格剖分细化算法 被引量:1
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作者 李吉刚 杨钦 +1 位作者 孟宪海 蔡强 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2009年第1期72-80,共9页
针对分段线性复合形约束条件下的三维限定Voronoi剖分问题,提出一种细化算法.首先证明了分段线性复合形中的元素在最终生成的三维限定Voronoi网格中可表示为Power图结构;受此启发,提出了对限定线段/平面片分别进行一维/二维Power图细化... 针对分段线性复合形约束条件下的三维限定Voronoi剖分问题,提出一种细化算法.首先证明了分段线性复合形中的元素在最终生成的三维限定Voronoi网格中可表示为Power图结构;受此启发,提出了对限定线段/平面片分别进行一维/二维Power图细化以实现三维限定Voronoi网格生成的细化算法,并且证明了该算法对于任意分段线性复合形收敛.最后通过实例验证了文中算法的有效性. 展开更多
关键词 限定Voronoi网格 DELAUNAY三角化 细化算法 Power图 Regular三角化
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Joint inversion of gravity and multiple components of tensor gravity data 被引量:3
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作者 鲁光银 曹书锦 朱自强 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第7期1767-1777,共11页
Geological structures often exhibit smooth characteristics away from sharp discontinuities. One aim of geophysical inversion is to recover information about the smooth structures as well as about the sharp discontinui... Geological structures often exhibit smooth characteristics away from sharp discontinuities. One aim of geophysical inversion is to recover information about the smooth structures as well as about the sharp discontinuities. Because no specific operator can provide a perfect sparse representation of complicated geological models, hyper-parameter regularization inversion based on the iterative split Bregman method was used to recover the features of both smooth and sharp geological structures. A novel preconditioned matrix was proposed, which counteracted the natural decay of the sensitivity matrix and its inverse matrix was calculated easily. Application of the algorithm to synthetic data produces density models that are good representations of the designed models. The results show that the algorithm proposed is feasible and effective. 展开更多
关键词 hyper-parameter regularization full gravity gradient tensor preconditioned matrix Occam's inversion focusinginversion
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