## What is/are Meta Models?

Meta Models - To achieve this objective, (1) this study explored the predictors of senile anxiety using base models and meta models.^{[1]}Aiming at the difficulties of data integration and consistency maintenance caused by product BOM differences, based on the analysis of product data meta-models and product requirements, the data meta models in the stages of product design, process manufacturing, sales and operation, and maintenance services are Foundation, put forward a unified meta-model that supports the full life cycle of the product, and verify the validity of the model through product examples.

^{[2]}This is accomplished by sampling the space of component performance, here represented by eigenvalues and eigenvectors of stiffness matrices, and establishing meta models that map the relevant component performance values onto feasibility and mass estimates.

^{[3]}Radial basis function (RBF) and the Kriging model are built as the meta models, and the cross validation strategy is applied to calculate the global errors and the local errors of samples.

^{[4]}In the second approach “SATBIM”, a fully automated data exchange workflow is established between a parametric multi-level information model for tunnelling and multi-level numerical models based on both Finite Element and Isogeometric Analysis, where meta models are employed for real-time design assessment.

^{[5]}For this reason, this paper presents an ontology based upon graphs, objects, points, properties, roles, and relationships with entensions (GOPPRRE), providing meta models that support the various lifecycle stages of MBSE formalisms.

^{[6]}The proposed method uses Response Surface method based meta models for the analysis allowing high computational efficiency compared to that of the Monte Carlo methods.

^{[7]}In this paper, a GOPPRR approach is proposed to describe system characteristics and system development based on meta-models for different architecture descriptions using meta-meta models including Graph, Object, Point, Property, Role, and Relationship.

^{[8]}These initial meta models are utilized for the development of intermediate models.

^{[9]}The analysis is based on `meta models' obtained using model-averaging techniques and judged by various statistical and economic criteria, including a novel criterion based on a fair bet.

^{[10]}Results are used to define temporal evolution components in the Meta models.

^{[11]}The underlying Context-Free Modal Transition Systems (CFMTSs) can be regarded as loose specifications of meta models, and modal refinement as a way to increase the specificity of allowed domain specific languages (DSLs) by constraining the range of allowed syntax specifications.

^{[12]}In recent years, Meta models are widely used to reduce the computational cost of the reliability analysis by predicting the system responses using a surrogate model.

^{[13]}Specifically, in the case where the parameters of meta models are identified, the linear least-squares formulation receives wide appreciation among engineers due to its simple yet powerful formulation and solution.

^{[14]}As results of the GMDH, the correlation coefficients of meta models of the separation efficiency and the pressure drop were 98.

^{[15]}Meta models were constructed and uncertainty quantification process was adopted by the support of Sobol’s sensitivity indices considering five uncertain parameters by exploiting Box-Behnken experimental method.

^{[16]}The systematic is based on existing meta models.

^{[17]}The editing of meta models must be directed to the user to ensure adaptation and not implemented at the level of control of the data control.

^{[18]}Components to assembly experimental modal analysis direct correlation is performed to identify the representative modes of the phenomena, while polynomial chaos expansion-based meta models developed upon experimental observations allow to extend the obtained results to component and assembly characteristics.

^{[19]}Monte-Carlo sampling method is dedicated to construct the meta models so that to be used for the BCQO method using matlab codes.

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