Verification Methods for Surrogate Models
暂无分享,去创建一个
Xinyu Shao | Qi Zhou | Ping Jiang | X. Shao | P. Jiang | Qi Zhou
[1] T. Simpson,et al. Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .
[2] Yuhong Yang. CONSISTENCY OF CROSS VALIDATION FOR COMPARING REGRESSION PROCEDURES , 2007, 0803.2963.
[3] Ron Kohavi,et al. A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection , 1995, IJCAI.
[4] Rupert G. Miller. The jackknife-a review , 1974 .
[5] Sylvain Arlot,et al. A survey of cross-validation procedures for model selection , 2009, 0907.4728.
[6] Neil Salkind,et al. Encyclopedia of research design , 2010 .
[7] M. H. Quenouille. Approximate tests of correlation in time-series 3 , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.
[8] Nielen Stander,et al. Comparing three error criteria for selecting radial basis function network topology , 2009 .
[9] Agostino Di Ciaccio,et al. Computational Statistics and Data Analysis Measuring the Prediction Error. a Comparison of Cross-validation, Bootstrap and Covariance Penalty Methods , 2022 .
[10] Rob J Hyndman,et al. Another look at measures of forecast accuracy , 2006 .
[11] T. Chai,et al. Root mean square error (RMSE) or mean absolute error (MAE)? – Arguments against avoiding RMSE in the literature , 2014 .
[12] Wentao Mao,et al. A fast and robust model selection algorithm for multi-input multi-output support vector machine , 2014, Neurocomputing.
[13] Haitao Liu,et al. An adaptive sampling approach for Kriging metamodeling by maximizing expected prediction error , 2017, Comput. Chem. Eng..
[14] Jin Li,et al. A review of comparative studies of spatial interpolation methods in environmental sciences: Performance and impact factors , 2011, Ecol. Informatics.
[15] Hui Zhou,et al. An active learning variable-fidelity metamodelling approach based on ensemble of metamodels and objective-oriented sequential sampling , 2016 .
[16] José Antonio Lozano,et al. Sensitivity Analysis of k-Fold Cross Validation in Prediction Error Estimation , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[17] J. Shao. Bootstrap Model Selection , 1996 .
[18] Philip Hans Franses,et al. A note on the Mean Absolute Scaled Error , 2015 .
[19] S. Larson. The shrinkage of the coefficient of multiple correlation. , 1931 .
[20] Biswarup Bhattacharyya,et al. A Critical Appraisal of Design of Experiments for Uncertainty Quantification , 2018 .
[21] Tadayoshi Fushiki,et al. Estimation of prediction error by using K-fold cross-validation , 2011, Stat. Comput..
[22] Hirokazu Yanagihara,et al. Bias correction of cross-validation criterion based on Kullback-Leibler information under a general condition , 2006 .
[23] R. Tibshirani,et al. Improvements on Cross-Validation: The 632+ Bootstrap Method , 1997 .
[24] E. Acar. Various approaches for constructing an ensemble of metamodels using local measures , 2010 .
[25] Raphael T. Haftka,et al. Surrogate-based Analysis and Optimization , 2005 .
[26] Qun Liu,et al. Comparison of Akaike information criterion (AIC) and Bayesian information criterion (BIC) in selection of stock–recruitment relationships , 2006 .
[27] Yan Wang,et al. A sequential multi-fidelity metamodeling approach for data regression , 2017, Knowl. Based Syst..
[28] G. Breukelen. Analysis of covariance (ANCOVA) , 2010 .
[29] P. Burman. A comparative study of ordinary cross-validation, v-fold cross-validation and the repeated learning-testing methods , 1989 .
[30] Salvador A. Pintos,et al. Toward an optimal ensemble of kernel-based approximations with engineering applications , 2006 .
[31] J. Barrett. The Coefficient of Determination—Some Limitations , 1974 .
[32] R. Haftka,et al. Multiple surrogates: how cross-validation errors can help us to obtain the best predictor , 2009 .
[33] Aki Vehtari,et al. Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC , 2015, Statistics and Computing.
[34] Selen Cremaschi,et al. Adaptive sequential sampling for surrogate model generation with artificial neural networks , 2014, Comput. Chem. Eng..
[35] C. Willmott,et al. Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance , 2005 .
[36] Cristina H. Amon,et al. Error Metrics and the Sequential Refinement of Kriging Metamodels , 2015 .
[37] Pengcheng Ye,et al. Ensemble of surrogate based global optimization methods using hierarchical design space reduction , 2018 .
[38] Yvan Saeys,et al. An alternative approach to avoid overfitting for surrogate models , 2011, Proceedings of the 2011 Winter Simulation Conference (WSC).
[39] Komahan Boopathy,et al. Unified Framework for Training Point Selection and Error Estimation for Surrogate Models , 2015 .
[40] M. Stone. Cross‐Validatory Choice and Assessment of Statistical Predictions , 1976 .
[41] T. Simpson,et al. Computationally Inexpensive Metamodel Assessment Strategies , 2002 .
[42] M. Victoria-Feser,et al. A Robust Coefficient of Determination for Regression , 2010 .
[43] M. Rais-Rohani,et al. Ensemble of metamodels with optimized weight factors , 2008 .
[44] Yahui Zhang,et al. Comparative studies of error metrics in variable fidelity model uncertainty quantification , 2018, Journal of Engineering Design.
[45] R. Haftka,et al. Ensemble of surrogates , 2007 .
[46] Eric-Jan Wagenmakers,et al. Limitations of Bayesian Leave-One-Out Cross-Validation for Model Selection , 2018, Computational brain & behavior.
[47] B. Efron. Bootstrap Methods: Another Look at the Jackknife , 1979 .
[48] J. Shao,et al. The jackknife and bootstrap , 1996 .
[49] Qiang Du,et al. Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..
[50] A. Messac,et al. Predictive quantification of surrogate model fidelity based on modal variations with sample density , 2015 .
[51] Erdem Acar,et al. Effect of error metrics on optimum weight factor selection for ensemble of metamodels , 2015, Expert Syst. Appl..
[52] N. Nagelkerke,et al. A note on a general definition of the coefficient of determination , 1991 .
[53] Dong Zhao,et al. A comparative study of metamodeling methods considering sample quality merits , 2010 .
[54] J. Shao. Linear Model Selection by Cross-validation , 1993 .
[55] Raphael T. Hafkta,et al. Comparing error estimation measures for polynomial and kriging approximation of noise-free functions , 2009 .
[56] L. Breiman. Heuristics of instability and stabilization in model selection , 1996 .
[57] B. Efron. Estimating the Error Rate of a Prediction Rule: Improvement on Cross-Validation , 1983 .
[58] V. Picheny. Improving accuracy and compensating for uncertainty in surrogate modeling , 2009 .