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The Development of Artificial Intelligence:Toward Consistency in the Logical Structures of Datasets,AI Models,Model Building,and Hardware?
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作者 Li Guo Jinghai Li 《Engineering》 2025年第7期13-17,共5页
The aim of this article is to explore potential directions for the development of artificial intelligence(AI).It points out that,while current AI can handle the statistical properties of complex systems,it has difficu... The aim of this article is to explore potential directions for the development of artificial intelligence(AI).It points out that,while current AI can handle the statistical properties of complex systems,it has difficulty effectively processing and fully representing their spatiotemporal complexity patterns.The article also discusses a potential path of AI development in the engineering domain.Based on the existing understanding of the principles of multilevel com-plexity,this article suggests that consistency among the logical structures of datasets,AI models,model-building software,and hardware will be an important AI development direction and is worthy of careful consideration. 展开更多
关键词 consistency datasets model building ai models artificial intelligence ai explore potential directions HARDWARE artificial intelligence
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Teaching-Learning-Assessment Consistency of the 5E Teaching Model and Its Application of English Picture Book Teaching in Elementary School
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作者 HE Ai-jing YUAN Ling-na HUANG Lin-lin 《Journal of Literature and Art Studies》 2025年第7期580-586,共7页
The 5E model includes Engagement,Exploration,Explanation,Elaboration,and Evaluation,with“Evaluation”at the end,conflicting with teaching learning-evaluation consistency.Thus,formative levaluation is integrated into ... The 5E model includes Engagement,Exploration,Explanation,Elaboration,and Evaluation,with“Evaluation”at the end,conflicting with teaching learning-evaluation consistency.Thus,formative levaluation is integrated into the first four stages,and a summative evaluation table is designed for the fifth,enabling students to self-evaluate and reflect.Elementary school English picture book teaching is used as an example to demonstrate the optimized model's application. 展开更多
关键词 teaching and evaluation consistency 5E teaching model elementary English picture book teaching
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A Two-Layer Energy Management Strategy for Fuel Cell Ships Considering the Performance Consistency of Fuel Cells
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作者 Yi Zhang Diju Gao +1 位作者 Yide Wang Zhaoxia Huang 《Energy Engineering》 2025年第9期3681-3702,共22页
Hydrogen fuel cell ships are one of the key solutions to achieving zero carbon emissions in shipping.Multi-fuel cell stacks(MFCS)systems are frequently employed to fulfill the power requirements of high-load power equ... Hydrogen fuel cell ships are one of the key solutions to achieving zero carbon emissions in shipping.Multi-fuel cell stacks(MFCS)systems are frequently employed to fulfill the power requirements of high-load power equipment on ships.Compared to single-stack system,MFCS may be difficult to apply traditional energy management strategies(EMS)due to their complex structure.In this paper,a two-layer power allocation strategy for MFCS of a hydrogen fuel cell ship is proposed to reduce the complexity of the allocation task by splitting it into each layer of the EMS.The first layer of the EMSis centered on the Nonlinear Model Predictive Control(NMPC).The Northern Goshawk Optimization(NGO)algorithm is used to solve the nonlinear optimization problem in NMPC,and the local fine search is performed using sequential quadratic programming(SQP).Based on the power allocation results of the first layer,the second layer is centered on a fuzzy rule-based adaptive power allocation strategy(AP-Fuzzy).The membership function bounds of the fuzzy controller are related to the aging level of the MFCS.The Particle Swarm Optimization(PSO)algorithm is used to optimize the parameters of the residual membership function to improve the performance of the proposed strategy.The effectiveness of the proposed EMS is verified by comparing it with the traditional EMS.The experimental results show that the EMS proposed in this paper can ensure reasonable hydrogen consumption,slow down the FC aging and equalize its performance,effectively extend the system life,and ensure that the ship has good endurance after completing the mission. 展开更多
关键词 Energy management strategy fuel cell nonlinear model predictive control fuzzy rule control performance consistency hydrogen fuel cell ship
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Rate of strong consistency of the maximum quasi-likelihood estimator in quasi-likelihood nonlinear models 被引量:2
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作者 XIA Tian KONG Fan-chao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第4期391-400,共10页
Quasi-likelihood nonlinear models (QLNM) include generalized linear models as a special case. Under some regularity conditions, the rate of the strong consistency of the maximum quasi-likelihood estimation (MQLE) ... Quasi-likelihood nonlinear models (QLNM) include generalized linear models as a special case. Under some regularity conditions, the rate of the strong consistency of the maximum quasi-likelihood estimation (MQLE) is obtained in QLNM. In an important case, this rate is O(n-^1/2(loglogn)^1/2), which is just the rate of LIL of partial sums for i.i.d variables, and thus cannot be improved anymore. 展开更多
关键词 maximum quasi-likelihood estimator quasi-likelihood nonlinear models strong consistency
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Thermodynamic Consistency of Plate and Shell Mathematical Models in the Context of Classical and Non-Classical Continuum Mechanics and a Thermodynamically Consistent New Thermoelastic Formulation 被引量:3
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作者 Karan S. Surana Sri Sai Charan Mathi 《American Journal of Computational Mathematics》 2020年第2期167-220,共54页
Inclusion of dissipation and memory mechanisms, non-classical elasticity and thermal effects in the currently used plate/shell mathematical models require that we establish if these mathematical models can be derived ... Inclusion of dissipation and memory mechanisms, non-classical elasticity and thermal effects in the currently used plate/shell mathematical models require that we establish if these mathematical models can be derived using the conservation and balance laws of continuum mechanics in conjunction with the corresponding kinematic assumptions. This is referred to as thermodynamic consistency of the mathematical models. Thermodynamic consistency ensures thermodynamic equilibrium during the evolution of the deformation. When the mathematical models are thermodynamically consistent, the second law of thermodynamics facilitates consistent derivations of constitutive theories in the presence of dissipation and memory mechanisms. This is the main motivation for the work presented in this paper. In the currently used mathematical models for plates/shells based on the assumed kinematic relations, energy functional is constructed over the volume consisting of kinetic energy, strain energy and the potential energy of the loads. The Euler’s equations derived from the first variation of the energy functional for arbitrary length when set to zero yield the mathematical model(s) for the deforming plates/shells. Alternatively, principle of virtual work can also be used to derive the same mathematical model(s). For linear elastic reversible deformation physics with small deformation and small strain, these two approaches, based on energy functional and the principle of virtual work, yield the same mathematical models. These mathematical models hold for reversible mechanical deformation. In this paper, we examine whether the currently used plate/shell mathematical models with the corresponding kinematic assumptions can be derived using the conservation and balance laws of classical or non-classical continuum mechanics. The mathematical models based on Kirchhoff hypothesis (classical plate theory, CPT) and first order shear deformation theory (FSDT) that are representative of most mathematical models for plates/shells are investigated in this paper for their thermodynamic consistency. This is followed by the details of a general and higher order thermodynamically consistent plate/shell thermoelastic mathematical model that is free of a priori consideration of kinematic assumptions and remains valid for very thin as well as thick plates/shells with comprehensive nonlinear constitutive theories based on integrity. Model problem studies are presented for small deformation behavior of linear elastic plates in the absence of thermal effects and the results are compared with CPT and FSDT mathematical models. 展开更多
关键词 Plate and Shell Mathematical models Energy Functional Thermodynamic consistency Classical Continuum Mechanics Non-Classical Continuum Mechanics Internal Rotations Cosserat Rotations Principle of Virtual Work
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Strong Consistency of Estimators of a Semiparametric Regression Model under Fixed Design
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作者 TIAN Ping XUE Liu-gen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第2期202-209,共8页
In this paper, we consider the following semipaxametric regression model under fixed design: yi = xi′β+g(xi)+ei. The estimators of β, g(·) and σ^2 axe obtained by using the least squares and usual nonp... In this paper, we consider the following semipaxametric regression model under fixed design: yi = xi′β+g(xi)+ei. The estimators of β, g(·) and σ^2 axe obtained by using the least squares and usual nonparametric weight function method and their strong consistency is proved under the suitable conditions. 展开更多
关键词 semiparametric regression model least square estimation weight function strong consistency
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Distributed model predictive control for multiagent systems with improved consistency 被引量:2
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作者 Shanbi WEI Yi CHAI Baocang DING 《控制理论与应用(英文版)》 EI 2010年第1期117-122,共6页
This paper addresses an improved distributed model predictive control (DMPC) scheme for multiagent systems with an attempt to improving its consistency. The deviation between what an agent is actually doing and what... This paper addresses an improved distributed model predictive control (DMPC) scheme for multiagent systems with an attempt to improving its consistency. The deviation between what an agent is actually doing and what its neighbors believe that agent is doing is penalized in the cost function of each agent. At each sampling instant the compatibility constraint of each agent is set tighter than the previous sampling instant. Like the traditional approach, the performance cost is utilized as the Lyapunov function to prove closed-looped stability. The closed-loop stability is guaranteed if the weight matrix for deviation in the cost function are sufficiently large. The proposed distributed control scheme is formulated as quadratic programming with quadratic constraints. A numerical example is given to illustrate the effectiveness of the proposed scheme. 展开更多
关键词 Distributed model predictive control (DMPC) Multiagent systems Compatibility constraint consistency
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3-D consistency dynamic constitutive model of concrete 被引量:4
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作者 Xiao Shiyun,Li Hongnan and Lin Gao School of Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2010年第2期233-246,共14页
Based on the consistency-viscoplastic constitutive model,the static William-Warnke model with three-parameters is modified and a consistency-viscoplastic William-Warnke model with three-parameters is developed that co... Based on the consistency-viscoplastic constitutive model,the static William-Warnke model with three-parameters is modified and a consistency-viscoplastic William-Warnke model with three-parameters is developed that considers the effect of strain rates. Then,the tangent modulus of the consistency viscoplastic model is introduced and an implicit backward Elure iterative algorithm is developed. Comparisons between the numerical simulations and experimental data show that the consistency model properly provides the uniaxial and biaxial dynamic behaviors of concrete. To study the effect of strain rates on the dynamic response of concrete structures,the proposed model is used in the analysis of the dynamic response of a simply-supported beam and the results show that the strain rate has a significant effect on the displacement and stress magnitudes and distributions. Finally,the seismic responses of a 278 m high arch dam are obtained and compared by using the linear elastic model,as well as rate-independent and rate-dependent William-Warnke three-parameter models. The results indicate that the strain rate affects the first principal stresses,and the maximal equivalent viscoplastic strain rate of the arch dam. Numerical calculations and analyses reveal that considering the strain rate is important in the safety assessments of arch dams located in seismically active areas. 展开更多
关键词 CONCRETE strain rate constitutive model consistency-viscoplastic William-Warnke three-parameter model algorithm arch dams seismic responsesimulation
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Research of Consistency Maintenance Mechanism in Real-Time Collaborative Multi-View Business Modeling
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作者 蔡鸿明 计晓峰 步丰林 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第1期86-92,共7页
Real-time collaborative editing(RTCE)can support a group of people collaboratively work from distributed locations at the same time.However,consistency maintenance is one key challenge when different types of conflict... Real-time collaborative editing(RTCE)can support a group of people collaboratively work from distributed locations at the same time.However,consistency maintenance is one key challenge when different types of conflicts happen.Therefore a common synchronous mechanism is proposed to support consistency maintenance in the process of multi-view business modeling.Based on operation analysis on different views of models in the real-time collaborative editing system,detection of potential conflicts is realized by means of a decision-making tree.Then consistency maintenance provides a comprehensive and applicable conflicts detection and resolution for collaborative business modeling.Finally,a prototype of collaborative multi-view business modeling system is introduced to verify the approach.The point is that the mechanism proposes a comprehensive solution for collaborative multi-view business modeling. 展开更多
关键词 computer support cooperative work(CSCW) multi-view business modeling consistency maintenance software engineering
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Research on Metamodels Consistency Verification Based on Formalization of Domain-Specific Metamodeling Language 被引量:1
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作者 江涛 王新 《Journal of Shanghai Jiaotong university(Science)》 EI 2012年第2期171-177,共7页
Domain-specific metamodeling language(DSMML) defined by informal method cannot strictly represent its structural semantics,so its properties such as consistency cannot be holistically and systematically verified.In re... Domain-specific metamodeling language(DSMML) defined by informal method cannot strictly represent its structural semantics,so its properties such as consistency cannot be holistically and systematically verified.In response,the paper proposes a formal representation of the structural semantics of DSMML named extensible markup language(XML) based metamodeling language(XMML) and its metamodels consistency verification method.Firstly,we describe our approach of formalization,based on this,the method of consistency verification of XMML and its metamodels based on first-order logical inference is presented;then,the formalization automatic mapping engine for metamodels is designed to show the feasibility of our formal method. 展开更多
关键词 domain-specific metamodeling language(DSMML) extensible markup language(XML) based metamodeling language(XMML) structural semantics meta-type consistency verification
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Performance evaluation of physical consistency approach for optimizing residential space heating system in cold snap conditions
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作者 Yi Ran Zixuan Wang +1 位作者 Yanxue Li Fu Xiao 《Building Simulation》 2025年第5期1179-1204,共26页
Reliable and efficient modeling of residential space heating systems is crucial for optimizing building energy usage,especially during extreme cold snap events.Traditional white-box models require significant expertis... Reliable and efficient modeling of residential space heating systems is crucial for optimizing building energy usage,especially during extreme cold snap events.Traditional white-box models require significant expertise and time-intensive parameterization,whereas simplified grey-box resistance-capacitance(RC)models often suffer from limited accuracy and frequent recalibrations.Although purely data-driven methods show promise in predictive performance,they lack scalability and interpretability.To address these limitations,the study proposes a physically consistent neural network(PCNN)that integrates fundamental heat transfer principles with data-driven learning.This study compares the performance of grey-box RC models,conventional data-driven models,and the proposed PCNN within a deep reinforcement learning(DRL)framework for space heating control.The evaluation focuses on each model’s predictive accuracy under severe cold snap conditions,as well as their impact on indoor comfort,grid imports,and photovoltaic(PV)utilization.Results show that the PCNN achieves up to a 93.9% reduction in mean absolute error(MAE)prediction errors compared to the RC model and exhibits greater robustness to abrupt temperature drops.When incorporated into DRL controllers,the PCNN enhances indoor temperature stability,increases on-site PV consumption,and reduces energy dependence.Additionally,the PCNN can be effectively trained with smaller datasets without sacrificing accuracy.Although the PCNN model demonstrates higher computational overhead during DRL optimization,its moderate complexity is offset by its enhanced reliability.Notably,the PCNN outperforms all other models in continuous control scenarios,maintaining a mean indoor temperature of 21.9℃ with a minimal deviation of -0.1℃,reaching a 69.2%PV consumption rate,lowering total grid imports by approximately 37%,and reducing overall energy costs by nearly 48% compared to measured results. 展开更多
关键词 physical consistency thermal dynamic models deep reinforcement learning energy management performance cold snap event
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A Novel Unsupervised Change Detection Method with Structure Consistency and GFLICM Based on UAV Images 被引量:5
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作者 Wensong LIU Xinyuan JI +2 位作者 Jie LIU Fengcheng GUO Zongqiao YU 《Journal of Geodesy and Geoinformation Science》 2022年第1期91-102,共12页
With the rapid development of Unmanned Aerial Vehicle(UAV)technology,change detection methods based on UAV images have been extensively studied.However,the imaging of UAV sensors is susceptible to environmental interf... With the rapid development of Unmanned Aerial Vehicle(UAV)technology,change detection methods based on UAV images have been extensively studied.However,the imaging of UAV sensors is susceptible to environmental interference,which leads to great differences of same object between UAV images.Overcoming the discrepancy difference between UAV images is crucial to improving the accuracy of change detection.To address this issue,a novel unsupervised change detection method based on structural consistency and the Generalized Fuzzy Local Information C-means Clustering Model(GFLICM)was proposed in this study.Within this method,the establishment of a graph-based structural consistency measure allowed for the detection of change information by comparing structure similarity between UAV images.The local variation coefficient was introduced and a new fuzzy factor was reconstructed,after which the GFLICM algorithm was used to analyze difference images.Finally,change detection results were analyzed qualitatively and quantitatively.To measure the feasibility and robustness of the proposed method,experiments were conducted using two data sets from the cities of Yangzhou and Nanjing.The experimental results show that the proposed method can improve the overall accuracy of change detection and reduce the false alarm rate when compared with other state-of-the-art change detection methods. 展开更多
关键词 change detection UAV images graph model structural consistency Generalized Fuzzy Local Information C-means Clustering model(GFLICM)
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Behavioral Consistency Checking between Requirements and Implementations 被引量:1
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作者 XU Yong LING Xiang +1 位作者 WU Guoqing HUANG Bo 《Wuhan University Journal of Natural Sciences》 CAS 2014年第6期477-488,共12页
Checking if the implementations conform to the requirement models is challenging. Most existing techniques for consistency checking either focus on requirement models(e.g., requirements consistency checking), or on ... Checking if the implementations conform to the requirement models is challenging. Most existing techniques for consistency checking either focus on requirement models(e.g., requirements consistency checking), or on the implementations(e.g., code-based testing) only. In this paper we propose an approach to checking behavioral consistency of implementations against requirement models directly to overcome these limitations. Our approach extracts two behavioral models represented by Labelled Transition Systems(LTS) from requirement models and implementations respectively, and checks the behavioral consistency between these two models based on behavioral simulation relation of LTS. The checking results of our approach provide evidence for behavioral inconsistency as well as inconsistent localization. A research prototype called BCCH and a case study are presented to give initial validation of this approach. 展开更多
关键词 behavioral consistency Labelled Transition Systems(LTS) requirement models
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Novel consistency control strategy for jet dispensing 被引量:1
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作者 SHEN Ping LI Han-xiong 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第6期1418-1436,共19页
A new consistency control method for jet dispensing is proposed. First, the working parameters, namely, viscosity, supply pressure and supply time, are experimentally investigated. Then, the glue viscosity is approxim... A new consistency control method for jet dispensing is proposed. First, the working parameters, namely, viscosity, supply pressure and supply time, are experimentally investigated. Then, the glue viscosity is approximated by a polynomial model using the least square method. Based on this model and temperatme control implemented using the Dahlin principle, the viscosity of the glue can be maintained at a constant value. Then, the viscosity model of the glue is applied to deriving the droplet mass as the nominal model of the temperature controller. The robustness of the temperature controller is analyzed by applying the small gain theory. The glue supply pressure controller is designed using the consistency control strategy, and the robustness is analyzed. Finall), simulations and experiments are conducted using a jet dispensing control system. The results show that the proposed control strategy can significantly improve the droplet consistency. 展开更多
关键词 jet dispensing consistency control internal model control disturbance rejection jetting valve
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Strong Consistency of Estimators under Missing Responses 被引量:1
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作者 Linran Zhang Jingjing Zhang 《Journal of Applied Mathematics and Physics》 2019年第1期93-103,共11页
In this article, we focus on the semi-parametric error-in-variables model with missing responses: , where yi are the response variables missing at random, are design points, ζi are the potential variables observed wi... In this article, we focus on the semi-parametric error-in-variables model with missing responses: , where yi are the response variables missing at random, are design points, ζi are the potential variables observed with measurement errors μi, the unknown slope parameter &#223;?and nonparametric component g(·) need to be estimated. Here we choose two different approaches to estimate &#223;?and g(·). Under appropriate conditions, we study the strong consistency for the proposed estimators. 展开更多
关键词 SEMI-PARAMETRIC model Error-in-Variables MISSING RESPONSES Strong consistency
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A case study of the consistency problem in the inverse estimation
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作者 WEI Yanzhou KANG Xianbiao PEI Yuhua 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2017年第9期45-51,共7页
Inverse technique is a widely used method in oceanography, but it has a problem that the retrieved solutions often violate model prior assumptions. To tune the model has consistent solutions, an iteration approach, wh... Inverse technique is a widely used method in oceanography, but it has a problem that the retrieved solutions often violate model prior assumptions. To tune the model has consistent solutions, an iteration approach, which successively utilizes the posterior statistics for next round inverse estimation, is introduced and tested from a real case study. It is found that the consistency may become elusive as the determinants of solution and noise covariance matrices become zero in the iteration process. However, after several steps of such operation, the difference between posterior statistics and the model prior ones can be gradually reduced. 展开更多
关键词 REGULARIZATION consistency inverse problems box inverse model L-curve method
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CONSISTENCY OF LS ESTIMATOR IN SIMPLE LINEAR EV REGRESSION MODELS 被引量:13
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作者 刘继学 陈希孺 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期50-58,共9页
Consistency of LS estimate of simple linear EV model is studied. It is shown that under some common assumptions of the model, both weak and strong consistency of the estimate are equivalent but it is not so for quadra... Consistency of LS estimate of simple linear EV model is studied. It is shown that under some common assumptions of the model, both weak and strong consistency of the estimate are equivalent but it is not so for quadratic-mean consistency. 展开更多
关键词 ev model consistency
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Quantitative evaluation of model consistency evolution in compositional service-oriented simulation using a connected hyper-digraph
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作者 Lin-jun FAN Yun-xiang LING +1 位作者 Xing-tao ZHANG Jun TANG 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2014年第1期1-12,共12页
Appropriate maintenance technologies that facilitate model consistency in distributed simulation systems are relevant but generally unavailable.To resolve this problem,we analyze the main factors that cause model inco... Appropriate maintenance technologies that facilitate model consistency in distributed simulation systems are relevant but generally unavailable.To resolve this problem,we analyze the main factors that cause model inconsistency.The analysis methods used for traditional distributed simulations are mostly empirical and qualitative,and disregard the dynamic characteristics of factor evolution in model operational running.Furthermore,distributed simulation applications(DSAs)are rapidly evolving in terms of large-scale,distributed,service-oriented,compositional,and dynamic features.Such developments present difficulty in the use of traditional analysis methods in DSAs,for the analysis of factorial effects on simulation models.To solve these problems,we construct a dynamic evolution mechanism of model consistency,called the connected model hyper-digraph(CMH).CMH is developed using formal methods that accurately specify the evolutional processes and activities of models(i.e.,self-evolution,interoperability,compositionality,and authenticity).We also develop an algorithm of model consistency evolution(AMCE)based on CMH to quantitatively and dynamically evaluate influencing factors.Experimental results demonstrate that non-combination(33.7%on average)is the most influential factor,non-single-directed understanding(26.6%)is the second most influential,and non-double-directed understanding(5.0%)is the least influential.Unlike previous analysis methods,AMCE provides good feasibility and effectiveness.This research can serve as guidance for designers of consistency maintenance technologies toward achieving a high level of consistency in future DSAs. 展开更多
关键词 model consistency evolution Factor quantification analysis Connected hyper-digraph Formal methods Composi-tional service-oriented simulation
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The Consistency for the Estimators of Semiparametric Regression Model with Dependent Samples
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作者 Yi WU Xue-jun WANG +1 位作者 Ling CHEN Kun JIANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第2期299-318,共20页
For the semiparametric regression model:Y^((j))(x_(in),t_(in))=t_(in)β+g(x_(in))+e^((j))(x_(in)),1≤j≤k,1≤i≤n,where t_(in)∈R and x(in)∈Rpare known to be nonrandom,g is an unknown continuous function on a compact... For the semiparametric regression model:Y^((j))(x_(in),t_(in))=t_(in)β+g(x_(in))+e^((j))(x_(in)),1≤j≤k,1≤i≤n,where t_(in)∈R and x(in)∈Rpare known to be nonrandom,g is an unknown continuous function on a compact set A in R^(p),e^(j)(x_(in))are m-extended negatively dependent random errors with mean zero,Y^((j))(x_(in),t_(in))represent the j-th response variables which are observable at points xin,tin.In this paper,we study the strong consistency,complete consistency and r-th(r>1)mean consistency for the estimatorsβ_(k,n)and g__(k,n)ofβand g,respectively.The results obtained in this paper markedly improve and extend the corresponding ones for independent random variables,negatively associated random variables and other mixing random variables.Moreover,we carry out a numerical simulation for our main results. 展开更多
关键词 semiparametric regression model strong consistency complete consistency mean consistency m-END random variables
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Consistency of modified MLE in EV model with replicated observations 被引量:2
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作者 张三国 陈希孺 《Science China Mathematics》 SCIE 2001年第3期304-310,共7页
In case that replicated observations are available in someexperimental points, the parameters estimation of one-dimensional linear errors-in-variables (EV) models was studied. Weak and strong consistency was proved un... In case that replicated observations are available in someexperimental points, the parameters estimation of one-dimensional linear errors-in-variables (EV) models was studied. Weak and strong consistency was proved under mild conditions. 展开更多
关键词 errors-in-variables (ev) model consistency replicated observations
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