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基于范数‖·‖_∞的数据列空穴插值方法
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作者 柯宏发 陈永光 陈沫 《系统工程与电子技术》 EI CSCD 北大核心 2007年第3期467-469,共3页
数据列的空穴插补方法在小样本数据处理中占有重要地位,提出了一种基于‖·‖∞范数的新插补方法。首先基于‖·‖∞范数,定义了相对距离测度,提出了基于相对距离测度的权值计算方法;然后分别介绍了基于数据值和相对距离测度的... 数据列的空穴插补方法在小样本数据处理中占有重要地位,提出了一种基于‖·‖∞范数的新插补方法。首先基于‖·‖∞范数,定义了相对距离测度,提出了基于相对距离测度的权值计算方法;然后分别介绍了基于数据值和相对距离测度的均值生成插值和级比生成插值;最后利用所提方法进行了插值仿真示例,结果表明该方法合理可行。 展开更多
关键词 插值 ‖·‖∞范数 相对距离测度 灰色 级比
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Infrared small target detection algorithm via partial sum of the tensor nuclear norm and direction residual weighting
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作者 SUN Bin XIA Xing-Ling +1 位作者 FU Rong-Guo SHI Liang 《红外与毫米波学报》 北大核心 2025年第2期277-288,共12页
Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small targe... Aiming at the problem that infrared small target detection faces low contrast between the background and the target and insufficient noise suppression ability under the complex cloud background,an infrared small target detection method based on the tensor nuclear norm and direction residual weighting was proposed.Based on converting the infrared image into an infrared patch tensor model,from the perspective of the low-rank nature of the background tensor,and taking advantage of the difference in contrast between the background and the target in different directions,we designed a double-neighborhood local contrast based on direction residual weighting method(DNLCDRW)combined with the partial sum of tensor nuclear norm(PSTNN)to achieve effective background suppression and recovery of infrared small targets.Experiments show that the algorithm is effective in suppressing the background and improving the detection ability of the target. 展开更多
关键词 infrared small target detection infrared patch tensor model partial sum of the tensor nuclear norm direction residual weighting
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Torsion functors of local cohomology modules for complexes
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作者 ZHANG Pinger MA Yajun 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第4期109-114,共6页
We show that the torsion module Tor_(j)^(R)(R/a,H_(a)^(i)(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism Tor_(s-t)^(R)(R/a,X)≅Tor_(s)^(R)(R/a,H_(a)^(t)(X))in some c... We show that the torsion module Tor_(j)^(R)(R/a,H_(a)^(i)(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism Tor_(s-t)^(R)(R/a,X)≅Tor_(s)^(R)(R/a,H_(a)^(t)(X))in some case.As an application,the Betti number of a complex X in a prime ideal p can be computed by the Betti number of the local cohomology modules of X in p. 展开更多
关键词 local cohomology torsion functor Serre subcategory Betti number
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Stabilizability analysis of sphere plants 被引量:2
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作者 吕斌 伍清河 +1 位作者 徐粒 杨洋 《Journal of Central South University》 SCIE EI CAS 2012年第9期2561-2571,共11页
Let P(s, δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Eucl... Let P(s, δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclidean norm constraint ||δ||〈δ. The concept of stabilizability radius of P(s, δ) is introduced which is the norm bound δs for δ such that every member plant of P(s, δ) is stabilizable if and only if ||δ||〈δs. The stabilizability radius can be simply interpreted as the 'largest sphere' around the nominal plant P(s,θ) such that P(s, δ) is stabilizable. The numerical method and the analytical method are presented to solve the stabilizability radius calculation problem of the sphere plants. 展开更多
关键词 real parameter uncertainty sphere plant family STABILIZABILITY stabilizability radius
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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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Measuring internal residual stress in Al-Cu alloy forgings by crack compliance method with optimized parameters 被引量:9
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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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Constitutive behavior of Ni-Ti shape memory alloy under hot compression 被引量:5
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作者 江树勇 张艳秋 +2 位作者 赵亚楠 唐明 易文林 《Journal of Central South University》 SCIE EI CAS 2013年第1期24-29,共6页
Constitutive behavior of nickel-titanium shape memory alloy (Ni-Ti SMA) under hot deformation was investigated by means of the compression tests and the linear fitting method. Based on the true stres-strain curves o... Constitutive behavior of nickel-titanium shape memory alloy (Ni-Ti SMA) under hot deformation was investigated by means of the compression tests and the linear fitting method. Based on the true stres-strain curves of Ni-Ti SMA under compression at the strain rates of 0.001-1 s land at the temperatures ranging from 600 to 1 000 ℃, the constitutive equation of Ni-Ti SMA with respect to the Zener-Hollomon parameter was established according to the high stress level and the low stress level at various temperatures so as to more accurately describe the deformation behavior of Ni-Ti SMA during hot working. Dynamic recovery and dynamic recrystallization of Ni-Ti SMA occur under hot compression, which lays the theoretical foundation for understanding the constitutive behavior of Ni-Ti SMA. 展开更多
关键词 Ni-Ti alloy shape memory alloy constitutive behavior microstructural evolution hot deformation
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Constitutive modeling of dynamic recrystallization behavior and processing map of Cr5 steel
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作者 刘新彬 吴光亮 周超洋 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第12期3065-3071,共7页
The hot deformation behaviors of Cr5 steel were investigated.The hot compression tests were conducted in the temperature range of 900-1150 °C under strain rates of 0.01,0.1 and 1 s^(-1).The constitutive equation ... The hot deformation behaviors of Cr5 steel were investigated.The hot compression tests were conducted in the temperature range of 900-1150 °C under strain rates of 0.01,0.1 and 1 s^(-1).The constitutive equation and material constants(Q,n,α ln A) are obtained according to the hyperbolic sine function and Zener-Hollomon parameter.Besides,dynamic recrystallization(DRX) grain size model and critical strain model are acquired.The processing maps with the strain of 0.1,0.3 and 0.5 are obtained on the basis of dynamic materials model.It has been observed that DRX occurs at high temperature and low strain rate.According to the processing map,the safety region exists in the temperature range of 920-1150 °C with strain rate of 0.01-0.20 s^(-1). 展开更多
关键词 flow stress constitutive equation material constants dynamic recrystallization processing map
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Attenuation of wave propagation in a novel periodic structure 被引量:2
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作者 郑玲 李以农 A.BAZ 《Journal of Central South University》 SCIE EI CAS 2011年第2期438-443,共6页
A novel periodic mount was presented. A theoretical model was developed to describe the dynamics of wave propagation in the novel periodic mount. The model was derived using Hamilton's energy conservation principl... A novel periodic mount was presented. A theoretical model was developed to describe the dynamics of wave propagation in the novel periodic mount. The model was derived using Hamilton's energy conservation principle. The characteristics of wave propagation in unit cell were analyzed by transfer matrix formulation. Numerical examples were given to illustrate the effectiveness of the periodic mount. The experiments were carried out to identify the predications of the theoretical model. The obtained results show that the experimental results coincide with the prediction of theoretical model. No pass bands appear in the overall frequency range measured when waves propagate in the longitude direction of the periodic mount. These dramatic results demonstrate its potential as an excellent mount in attenuating and isolating vibration transmission. 展开更多
关键词 periodic structure vibration isolation passive mount
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