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Noisy data-driven identification for errors-in-variables MISO Hammerstein nonlinear models
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作者 Jie Hou Haoran Wang +1 位作者 Penghua Li Hao Su 《Control Theory and Technology》 2026年第1期111-126,共16页
In this paper,we consider a multiple-input single-output(MISO)Hammerstein system whose inputs and output are disturbed by unknown Gaussian white measurement noises.The parameter estimation of such a system is a typica... In this paper,we consider a multiple-input single-output(MISO)Hammerstein system whose inputs and output are disturbed by unknown Gaussian white measurement noises.The parameter estimation of such a system is a typical errors-in-variables(EIV)nonlinear system identification problem.This paper proposes a bias-correction least squares(BCLS)identification methods to compute a consistent estimate of EIV MISO Hammerstein systems from noisy data.To obtain the unbiased parameter estimates of EIV MISO Hammerstein system,the analytical expression of estimated bias for the standard least squares(LS)algorithm is derived first,which is a function about the variances of noises.And then a recursive algorithm is proposed to estimate the unknown term of noises variances from noisy data.Finally,based on bias estimation scheme,the bias caused by the correlation between the input–output signals exciting the true system and the corresponding measurement noise,resulting in unbiased parameter estimates of the EIV MISO Hammerstein system.The performance of the proposed method is demonstrated through a simulation example and a chemical continuously stirred tank reactor(CSTR)system. 展开更多
关键词 Biased-corrected least squares errors-in-variables MISO Hammerstein models Parameter estimation System identification
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Error model identification of inertial navigation platform based on errors-in-variables model 被引量:6
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作者 Liu Ming Liu Yu Su Baoku 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第2期388-393,共6页
Because the real input acceleration cannot be obtained during the error model identification of inertial navigation platform, both the input and output data contain noises. In this case, the conventional regression mo... Because the real input acceleration cannot be obtained during the error model identification of inertial navigation platform, both the input and output data contain noises. In this case, the conventional regression model and the least squares (LS) method will result in bias. Based on the models of inertial navigation platform error and observation error, the errors-in-variables (EV) model and the total least squares (TLS) method axe proposed to identify the error model of the inertial navigation platform. The estimation precision is improved and the result is better than the conventional regression model based LS method. The simulation results illustrate the effectiveness of the proposed method. 展开更多
关键词 errors-in-variables model total least squares method inertial navigation platform error model identification
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Information scrambling in a partially confined quantum link model
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作者 Yifan Luo Zheng Tang +1 位作者 Li Chen Wei Zheng 《Chinese Physics B》 2025年第11期148-153,共6页
Quantum link models(QLMs)serve as experimentally accessible platforms for studying lattice gauge theories with finite-dimensional Hilbert spaces.In this work,we investigate information scrambling in the partially conf... Quantum link models(QLMs)serve as experimentally accessible platforms for studying lattice gauge theories with finite-dimensional Hilbert spaces.In this work,we investigate information scrambling in the partially confined phase of a spin-1 quantum link model by calculating the dynamics of out-of-time-ordered correlators(OTOCs)and entanglement entropy.We observe that,in the partially confined phase,information scrambling exhibits significant asymmetry,manifested as the unidirectional propagation of both OTOCs and entanglement entropy.This phenomenon stands in stark contrast to the isotropic spreading observed in the deconfined phase and the localization characteristic of the confined phase.Furthermore,the simultaneous occurrence of the unidirectional propagation of both OTOCs and entanglement entropy,together with the q-induced asymmetric excitation propagation,reveals a direct connection between information scrambling and charge confinement. 展开更多
关键词 lattice gauge field partial confinement phase quantum link model
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APPLICATION OF FRF ESTIMATOR BASED ON ERRORS-IN-VARIABLES MODEL IN MULTI-INPUT MULTI-OUTPUT VIBRATION CONTROL SYSTEM
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作者 GUAN Guangfeng CONG Dacheng +1 位作者 HAN Junwei LI Hongren 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第4期101-105,共5页
The FRF estimator based on the errors-in-variables(EV)model of multi-input multi-output(MIMO)system is presented to reduce the bias error of FRF HI estimator.The FRF HI estimator is influenced by the noises in the inp... The FRF estimator based on the errors-in-variables(EV)model of multi-input multi-output(MIMO)system is presented to reduce the bias error of FRF HI estimator.The FRF HI estimator is influenced by the noises in the inputs of the system and generates an under-estimation of the true FRF.The FRF estimator based on the EV model takes into account the errors in both the inputs and outputs of the system and would lead to more accurate FRF estimation.The FRF estimator based on the EV model is applied to the waveform replication on the 6-DOF(degree-of-freedom)hydraulic vibration table.The result shows that it is favorable to improve the control precision of the MIMO vibration control system. 展开更多
关键词 Multi-input multi-output(MIMO)system errors-in-variables(EV)model 6-DOF hydraulic vibration table Waveform replication
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Quality related fault detection based on dynamic-inner convolutional autoencoder and partial least squares and its application to ironmaking process
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作者 Ping Wu Yuxuan Ni +4 位作者 Huaimin Wang Xuguang Hu Zhenquan Wu Jian Jiang Yaowu Hu 《Chinese Journal of Chemical Engineering》 2026年第1期267-276,共10页
Partial least squares (PLS) model maximizes the covariance between process variables and quality variables,making it widely used in quality-related fault detection.However,traditional PLS methods focus primarily on li... Partial least squares (PLS) model maximizes the covariance between process variables and quality variables,making it widely used in quality-related fault detection.However,traditional PLS methods focus primarily on linear processes,leading to poor performance in dynamic nonlinear processes.In this paper,a novel quality-related fault detection method,named DiCAE-PLS,is developed by combining dynamic-inner convolutional autoencoder with PLS.In the proposed DiCAE-PLS method,latent features are first extracted through dynamic-inner convolutional autoencoder (DiCAE) to capture process dynamics and nonlinearity from process variables.Then,a PLS model is established to build the relationship between the extracted latent features and the final product quality.To detect quality-related faults,Hotelling's T^(2) statistic is employed.The developed quality-related fault detection is applied to the widely used industrial benchmark of the Tennessee. 展开更多
关键词 partial least squares Dynamic-inner convolutional autoencoder Quality-related fault detection Neural networks Safety Dynamic modeling
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Multiparameter Estimation of PMSM Combining Mechanical and Electrical Models with Nonlinear Saturated Inductance and Voltage Fitting
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作者 Lupeng Yang Yuting Lu +1 位作者 Guodong Feng Yu Han 《CES Transactions on Electrical Machines and Systems》 2026年第1期109-120,共12页
In this paper,a precise and computationally efficient method for estimating multiparameter of permanent magnet synchronous motors(PMSMs)is proposed.This method can realize decoupling estimation with a small amount of ... In this paper,a precise and computationally efficient method for estimating multiparameter of permanent magnet synchronous motors(PMSMs)is proposed.This method can realize decoupling estimation with a small amount of data at a single speed,and considers the inductance correlation to improve the estimation accuracy.The saturation in the stator frame is first modeled,and then the related inductance model in the rotating frame is derived.The estimation model is established based on the related inductance model,which is modeled by polynomials of d-axis current(I_(d))for a given q-axis current(I_(q)).Then,the influence of permanent magnet(PM)flux linkage on inductance estimation can be eliminated by using the partial derivative of the correlated inductance model.The estimation model fully explores the inductance correlation and can realize the decoupling of PM flux linkage(λ_(0))and inductance,which greatly improves the inductance estimation accuracy,especially when Id is small.Moreover,this paper realizes the estimation of distortion voltage,PM flux linkage,and stator resistance based on the derived electrical model and mechanical model.Compared with the existing method,this method can use a small amount of data at a single speed to model voltage,which can effectively reduce the influence of measurement noise and improve the calculation efficiency.Experimental verification on a laboratory PMSM prototype shows that the method’s performance of the proposed method is better than existing methods under various working conditions. 展开更多
关键词 Permanent magnet synchronous motors(PMSMs) Decoupling estimation Correlated inductance partial derivative Mechanical and electrical model
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New partial cooperation model for bilevel programming problems 被引量:4
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作者 Shihui Jia Zhongping Wan +1 位作者 Yuqiang Feng Guangmin Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第2期263-266,共4页
Partial cooperation models are studied for many years to solve the bilevel programming problems where the follower’s optimal reaction is not unique. However, in these existed models, the follower’s cooperation level... Partial cooperation models are studied for many years to solve the bilevel programming problems where the follower’s optimal reaction is not unique. However, in these existed models, the follower’s cooperation level does not depend on the leader’s decision. A new model is proposed to solve this deficiency. It is proved the feasibility of the new model when the reaction set of the lower level is lower semicontinuous. And the numerical results show that the new model has optimal solutions when the reaction set of the lower level is discrete, lower semi-continuous and non-lower semi-continuous. 展开更多
关键词 bilevel programming reaction set optimistic model pessimistic model partial cooperation model cooperation level.
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ASYMPTOTIC PROPERTIES OF ESTIMATORS IN PARTIALLY LINEAR SINGLE-INDEX MODEL FOR LONGITUDINAL DATA 被引量:3
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作者 田萍 杨林 薛留根 《Acta Mathematica Scientia》 SCIE CSCD 2010年第3期677-687,共11页
In this article, a partially linear single-index model /or longitudinal data is investigated. The generalized penalized spline least squares estimates of the unknown parameters are suggested. All parameters can be est... In this article, a partially linear single-index model /or longitudinal data is investigated. The generalized penalized spline least squares estimates of the unknown parameters are suggested. All parameters can be estimated simultaneously by the proposed method while the feature of longitudinal data is considered. The existence, strong consistency and asymptotic normality of the estimators are proved under suitable conditions. A simulation study is conducted to investigate the finite sample performance of the proposed method. Our approach can also be used to study the pure single-index model for longitudinal data. 展开更多
关键词 Longitudinal data partially linear single-index model penalized spline strong consistency asymptotic normality
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ESTIMATORS AND SOME BEHAVIORS FORA PARTIALLY LINEAR MODEL WITH CENSORED DATA 被引量:2
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作者 陈平 《Acta Mathematica Scientia》 SCIE CSCD 1999年第3期321-331,共11页
This paper considers the local linear regression estimators for partially linear model with censored data. Which have some nice large-sample behaviors and are easy to implement. By many simulation runs, the author als... This paper considers the local linear regression estimators for partially linear model with censored data. Which have some nice large-sample behaviors and are easy to implement. By many simulation runs, the author also found that the estimators show remarkable in the small sample case yet. 展开更多
关键词 partial linear model censored data local linear smoothing cross-validation kernel estimator
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Multi-loop adaptive internal model control based on a dynamic partial least squares model 被引量:3
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作者 Zhao ZHAO Bin HU Jun LIANG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2011年第3期190-200,共11页
A multi-loop adaptive internal model control (IMC) strategy based on a dynamic partial least squares (PLS) frame-work is proposed to account for plant model errors caused by slow aging,drift in operational conditions,... A multi-loop adaptive internal model control (IMC) strategy based on a dynamic partial least squares (PLS) frame-work is proposed to account for plant model errors caused by slow aging,drift in operational conditions,or environmental changes.Since PLS decomposition structure enables multi-loop controller design within latent spaces,a multivariable adaptive control scheme can be converted easily into several independent univariable control loops in the PLS space.In each latent subspace,once the model error exceeds a specific threshold,online adaptation rules are implemented separately to correct the plant model mismatch via a recursive least squares (RLS) algorithm.Because the IMC extracts the inverse of the minimum part of the internal model as its structure,the IMC controller is self-tuned by explicitly updating the parameters,which are parts of the internal model.Both parameter convergence and system stability are briefly analyzed,and proved to be effective.Finally,the proposed control scheme is tested and evaluated using a widely-used benchmark of a multi-input multi-output (MIMO) system with pure delay. 展开更多
关键词 partial least squares (PLS) Adaptive internal model control (IMC) Recursive least squares (RLS)
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ESTIMATION FOR THE AYMPTOTIC VARIANCE OF PARAMETRIC ESTIMATES IN PARTIAL LINEAR MODEL WITH CENSORED DATA 被引量:2
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作者 秦更生 蔡雷 《Acta Mathematica Scientia》 SCIE CSCD 1996年第2期192-208,共17页
Consider tile partial linear model Y=Xβ+ g(T) + e. Wilers Y is at risk of being censored from the right, g is an unknown smoothing function on [0,1], β is a 1-dimensional parameter to be estimated and e is an unobse... Consider tile partial linear model Y=Xβ+ g(T) + e. Wilers Y is at risk of being censored from the right, g is an unknown smoothing function on [0,1], β is a 1-dimensional parameter to be estimated and e is an unobserved error. In Ref[1,2], it wes proved that the estimator for the asymptotic variance of βn(βn) is consistent. In this paper, we establish the limit distribution and the law of the iterated logarithm for,En, and obtain the convergest rates for En and the strong uniform convergent rates for gn(gn). 展开更多
关键词 partial linear model Censored data Kernel method Asymptotic normality Thc law of the iterated logarithm.
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Empirical Likelihood for Semiparametric Varying-Coefficient Heteroscedastic Partially Linear Models 被引量:2
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作者 Guo Liang FAN Hong Xia XU 《Journal of Mathematical Research with Applications》 CSCD 2012年第1期95-107,共13页
Consider the semiparametric varying-coefficient heteroscedastic partially linear model Yi = X^T i β+ Z^T iα(Ti) + σiei, 1 ≤ i≤ n, where σ ^2i= f(Ui), β is a p × 1 column vector of unknown parameter, ... Consider the semiparametric varying-coefficient heteroscedastic partially linear model Yi = X^T i β+ Z^T iα(Ti) + σiei, 1 ≤ i≤ n, where σ ^2i= f(Ui), β is a p × 1 column vector of unknown parameter, (Xi, Zi, Ti, Ui) are random design q-dimensional vector of unknown functions, el points, Yi are the response variables, α(-) is a are random errors. For both cases that f(.) is known and unknown, we propose the empirical log-likelihood ratio statistics for the parameter f(.). For each case, a nonparametric version of Wilks' theorem is derived. The results are then used to construct confidence regions of the parameter. Simulation studies are carried out to assess the performance of the empirical likelihood method. 展开更多
关键词 Empirical likelihood heteroscedastic partially linear model varying-coefficientmodel local linear method confidence region.
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Penalized total least squares method for dealing with systematic errors in partial EIV model and its precision estimation 被引量:3
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作者 Leyang Wang Luyun Xiong Tao Chen 《Geodesy and Geodynamics》 CSCD 2021年第4期249-257,共9页
When the total least squares(TLS)solution is used to solve the parameters in the errors-in-variables(EIV)model,the obtained parameter estimations will be unreliable in the observations containing systematic errors.To ... When the total least squares(TLS)solution is used to solve the parameters in the errors-in-variables(EIV)model,the obtained parameter estimations will be unreliable in the observations containing systematic errors.To solve this problem,we propose to add the nonparametric part(systematic errors)to the partial EIV model,and build the partial EIV model to weaken the influence of systematic errors.Then,having rewritten the model as a nonlinear model,we derive the formula of parameter estimations based on the penalized total least squares criterion.Furthermore,based on the second-order approximation method of precision estimation,we derive the second-order bias and covariance of parameter estimations and calculate the mean square error(MSE).Aiming at the selection of the smoothing factor,we propose to use the U curve method.The experiments show that the proposed method can mitigate the influence of systematic errors to a certain extent compared with the traditional method and get more reliable parameter estimations and its precision information,which validates the feasibility and effectiveness of the proposed method. 展开更多
关键词 partial EIV model Systematic errors Nonlinear model Penalized total least squares criterion U curve method
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New Method of Total Ionizing Dose Compact Modeling in Partially Depleted Silicon-on-Insulator MOSFETs 被引量:4
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作者 黄建强 何伟伟 +3 位作者 陈静 罗杰馨 吕凯 柴展 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第9期82-85,共4页
On the basis of a detailed discussion of the development of total ionizing dose (TID) effect model, a new commercial-model-independent TID modeling approach for partially depleted silicon-on-insulator metal-oxide- s... On the basis of a detailed discussion of the development of total ionizing dose (TID) effect model, a new commercial-model-independent TID modeling approach for partially depleted silicon-on-insulator metal-oxide- semiconductor field effect transistors is developed. An exponential approximation is proposed to simplify the trap charge calculation. Irradiation experiments with 60Co gamma rays for IO and core devices are performed to validate the simulation results. An excellent agreement of measurement with the simulation results is observed. 展开更多
关键词 of New Method of Total Ionizing Dose Compact modeling in partially Depleted Silicon-on-Insulator MOSFETs for SOI TID in is IO NMOS on
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Establishment of a new pig model for auxiliary partial orthotopic liver transplantation 被引量:4
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作者 Cheng-HongPeng Liu-BinShi +3 位作者 Hong-WeiZhang Shu-YouPeng Guang-WenZhou Hong-WeiLi 《World Journal of Gastroenterology》 SCIE CAS CSCD 2005年第6期917-921,共5页
AIM: To establish a new pig model for auxiliary partial orthotopic liver transplantation (APOLT).METHODS: The liver of the donor was removed from its body. The left lobe of the liver was resected in vivo and the right... AIM: To establish a new pig model for auxiliary partial orthotopic liver transplantation (APOLT).METHODS: The liver of the donor was removed from its body. The left lobe of the liver was resected in vivo and the right lobe was used as a graft. After the left lateral lobe of the recipient was resected, end-to-side anastomoses of suprahepatic inferior vena cava and portal vein were performed between the donor and recipient livers,respectively. End-to-end anastomoses were made between hepatic artery of graft and splenic artery of the host.Outside drainage was placed in donor common bile duct.RESULTS: Models of APOLT were established in 5 pigs with a success rate of 80%. Color ultrasound examination showed an increase of blood flow of graft on 5th d compared to the first day after operation. When animals were killed on the 5th d after operation, thrombosis of hepatic vein (HV) and portal vein (PV) were not found. Histopathological examination of liver samples revealed evidence of damage with mild steatosis and sporadic necrotic hepatocytes and focal hepatic lobules structure disorganized in graft. Infiltration of inflammatory cells was mild in portal or central vein area. Hematologic laboratory values and blood chemical findings revealed that compared with group A (before transplantation), mean arterial pressure (MAP), central venous pressure (CVP), buffer base (BB), standard bicarbonate (SB) and K+ in group B (after portal vein was clamped) decreased (P<0.01). After reperfusion of the graft, MAP, CVP and K+ restored gradually.CONCLUSION: Significant decrease of congestion in portal vein and shortened blocking time were obtained because of the application of in vitro veno-venous bypass during complete vascular clamping. This new procedure,with such advantages as simple vessel processing, quality anastomosis, less postoperative hemorrhage and higher success rate, effectively prevents ischemia reperfusion injury of the host liver and deserves to be spread. 展开更多
关键词 Auxiliary partial orthotopic liver transplantation model pig
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Partial Oscillation of m-dimensional Logistic Ecologic Models 被引量:1
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作者 Luo Qi(Department of Basic Science, Wuhan Yejin University of Science and Technology, Wuhan 430081, China) 《Wuhan University Journal of Natural Sciences》 CAS 1998年第1期5-10,共6页
We present and discuss the partial oscillation with respect to equilibrium state ofm-dimensional Logistic delay ecologic models, and obtain some simple criteria.
关键词 Logistic ecologic model partial oscillation diffusion CONSTANT Liapunov functional
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STRONG CONVERGENCE RATES OF SEVERAL ESTIMATORS IN SEMIPARAMETRIC VARYING-COEFFICIENT PARTIALLY LINEAR MODELS 被引量:1
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作者 周勇 尤进红 王晓婧 《Acta Mathematica Scientia》 SCIE CSCD 2009年第5期1113-1127,共15页
This article is concerned with the estimating problem of semiparametric varyingcoefficient partially linear regression models. By combining the local polynomial and least squares procedures Fan and Huang (2005) prop... This article is concerned with the estimating problem of semiparametric varyingcoefficient partially linear regression models. By combining the local polynomial and least squares procedures Fan and Huang (2005) proposed a profile least squares estimator for the parametric component and established its asymptotic normality. We further show that the profile least squares estimator can achieve the law of iterated logarithm. Moreover, we study the estimators of the functions characterizing the non-linear part as well as the error variance. The strong convergence rate and the law of iterated logarithm are derived for them, respectively. 展开更多
关键词 partially linear regression model varying-coefficient profile leastsquares error variance strong convergence rate law of iterated logarithm
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Empirical Likelihood Based Variable Selection for Varying Coefficient Partially Linear Models with Censored Data 被引量:1
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作者 Peixin ZHAO 《Journal of Mathematical Research with Applications》 CSCD 2013年第4期493-504,共12页
In this paper, we consider the variable selection for the parametric components of varying coefficient partially linear models with censored data. By constructing a penalized auxiliary vector ingeniously, we propose a... In this paper, we consider the variable selection for the parametric components of varying coefficient partially linear models with censored data. By constructing a penalized auxiliary vector ingeniously, we propose an empirical likelihood based variable selection procedure, and show that it is consistent and satisfies the sparsity. The simulation studies show that the proposed variable selection method is workable. 展开更多
关键词 varying coefficient partially linear models empirical likelihood censored data variable selection.
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k-NN METHOD IN PARTIAL LINEAR MODEL UNDER RANDOM CENSORSHIP 被引量:1
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作者 QIN GENGSHENG (Department of Mathematics,Sichuan University, Chengdu 610064). 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1995年第3期275-286,共12页
Consider the regression model Y=Xβ+ g(T) + e. Here g is an unknown smoothing function on [0, 1], β is a l-dimensional parameter to be estimated, and e is an unobserved error. When data are randomly censored, the est... Consider the regression model Y=Xβ+ g(T) + e. Here g is an unknown smoothing function on [0, 1], β is a l-dimensional parameter to be estimated, and e is an unobserved error. When data are randomly censored, the estimators βn* and gn*forβ and g are obtained by using class K and the least square methods. It is shown that βn* is asymptotically normal and gn* achieves the convergent rate O(n-1/3). 展开更多
关键词 partial linear model censored data class K method k-nearest neighbor weights
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Partially Decentralized Controller Design via Model Predictive Control 被引量:1
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作者 郝玉春 李强 +1 位作者 谭文 李东海 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第6期1094-1101,共8页
An expansion procedure to design partially decentralized controllers via model predictive control is proposed in this paper. Partially decentralized control is a control structure that lies between a fully decentraliz... An expansion procedure to design partially decentralized controllers via model predictive control is proposed in this paper. Partially decentralized control is a control structure that lies between a fully decentralized structure and a fully centralized one, and has the advantage of achieving comparable performance as a fully centralized controller but with simpler structure. The proposed method follows the expansion method proposed in a previous paper where internal model control (IMC) was used to design controllers for non-square subsystems. The method requires computing the pseudo-inverse of a non-square matrix via pseudo-inverse factors. Instead, the proposed method uses dynamic matrix control (DMC) to design PID controllers for non-square subsystems without using additional factors. The effectiveness of the proposed method is demonstrated on several chemical examples. Simulation results show that the proposed method is simple and can achieve better performance. 展开更多
关键词 partially decentralized control non-square system model predictive control internal model control
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