- 期刊
The Coupling of Regression Model and Differential Equation Model in GM (1, 1) Modeling and Extended GM (1, 1) Models
並列摘要
The GM (1,1) model is a small-sample based coupled data-assimilation approach with the advantages of highly predictive power and easy computations. However, in the standard GM (1,1) model building exercises we often face a statistical-grey inconsistency problem. Therefore, in this paper we examine the GM(1,1) model from its component-level and try to reveal an interactive coupling nature of differential equation model and corresponding regression model constituting of a GM(1,1) model. Based our analysis, we state a coupling principle for establishing an extended GM(1,1) model and further explore certain families of extended GM(1,1) models with statistical-grey consistency.
延伸閱讀
- 褚芸（2021）。Extraction of Classification/Regression-qualified and Explainable Features for Deep Classifier/Regressor Modeling〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU202101525
- 秦學甫（2014）。A Study of the Effectiveness on the Applying of KMV Model for Financial Distress Prediction Models〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2014.00840
- Niu, W., Wang, G. Q., Cheng, J., & Zhai, Z. J. (2011). Research on Extension of GM(1,1) and Its Modeling Mechanism. Journal of Grey System, 14(4), 151-157. https://doi.org/10.30016/JGS.201112.0004
- Wang, Y. H., Dang, Y. G., & Liu, S. F. (2010). An Approach of Combining Optimization to Improve Prediction Precision of GM (1, 1) Model. Journal of Grey System, 13(3), 113-118. https://doi.org/10.30016/JGS.201009.0004
- Liao, H. T., Chuang, M. T., Tsai, P. W., Chou, C. C. K., & Wu, C. F. (2021). Enhanced Receptor Modeling Using Expanded Equations with Parametric Variables for Secondary Components of PM_(2.5). Aerosol and Air Quality Research, 21(3), 1-14+ap1-3-019. https://doi.org/10.4209/aaqr.200549