Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 4

Regression parameters prediction in data set with outliers using neural network

Sayfa
1170–1184
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results show that the proposed method is not to be affected the outliers in the solving process.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Popular regression techniques often suffer at the presence of data outliers.
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Temel Bulgular & Veri:The different methods have proposed to make smaller the effect of the outlier on the parameter estimates.
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Sonuç & Katkı:The results show that the proposed method is not to be affected the outliers in the solving process.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy regression · Outlier · Linear programming

Abstract

Popular regression techniques often suffer at the presence of data outliers. The different methods have proposed to make smaller the effect of the outlier on the parameter estimates. In this study, an algorithm has been addressed based on Adaptive network based fuzzy inference system to define the unknown parameters of regression model where dependent variable has outlier. So, three numerical examples are solved to test the activity of the proposed algorithm in regression model estimation. Also, the obtained results from the different methods, such as linear programming (LP) and fuzzy weights with linear programming (FWLP) are compared together. The results show that the proposed method is not to be affected the outliers in the solving process.

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Bu Makaleye Atıf Yap

Razzaghnia, T. (2022). Regression parameters prediction in data set with outliers using neural network. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 1170–1184. https://ajindex.com/articles/529788

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Kaynakça (17)

  1. A. Celmins. Multidimensional least-squares fitting of fuzzy models, Fuzzy sets and systems 22,1997
  2. Y. S. Chen. Outliers detection and confidence interval modification in fuzzy regression. Fuzzy sets and systems 119, 259-272, 2001
  3. C. -B. Cheng and E. S. Lee. Applying Fuzzy Adoptive Network to Fuzzy Regression Analysis. Computers and Mathematics with Applications 38, 123-140, 1999
  4. C. -B. Cheng and E. S. Lee. Nonparametric fuzzy regression k-NN and kernel smoothing techniques. Computers and Mathematics with Applications 38, 239-251,1999
  5. C. -B. Cheng and E. S. Lee. Fuzzy regression with radial basis function networks. Fuzzy Sets and Systems 119, 291-301,2001
  6. P. D’Urso and T. Gastaldi. A least-squares approach to fuzzy linear regression analysis. Computational Statistics and Data Analysis 34, 427-440,2000
  7. T. E. Dalkilic and T. Apaydin. A fuzzy adaptive network approach to parameter estimation in cases where independent variables come from an exponential distribution. Journal of Computational and Applied Mathematics 233, 36-45,2009
  8. T. E. Dalkilic and T. Apaydin. Parameter Estimation by ANFIS in Cases Where Outputs are Non-Symmetric Fuzzy Numbers. International Journal of Applied Science and Technology, 92-103,2014
  9. S. Danesh. Fuzzy Parameters Estimation via Hybrid Methods. Hacettepe Journal of Mathematics and Statistics, inpress, Doi: 10.15672/HJMS.201614621831
  10. S. Danesh, R. Farnoosh and T. Razzaghnia. Fuzzy nonparametric regression based on adaptive neuro fuzzy inference system, Neurocomputing, 173, 1450-1460, 2016
  11. P. Diamond. Fuzzy least squares. Information Sciences 46, 141-157,1988
  12. S. Donoso, N. Marin and M. Amparo Vila. Quadratic programming models for fuzzy regression. International Conference on Mathematical and Statistical Modeling in Honor of Enrique Castillo, 2006
  13. R. Farnoosh, J. Ghasemian and O. Solaymani fard. A modification on ridge estimation for fuzzy nonparametric regression. Iranian Journal of Fuzzy System Vol. 9, No. 2, 75-88 (2012
  14. L. V. Fausett. Fundamentals of neural networks: architectures, algorithms, and applications. Prentice Hall (1994
  15. D. H. Hong, J. -K. Song and H. Young. Fuzzy least-squares linear regression analysis using shape preserving operations. Information Sciences 138, 185-193 (2001
  16. W. L. Hung and M. S. Yang. An omission approach for detecting outliers in fuzzy regression models. Fuzzy sets and systems 157, 3109-3122 (2006
  17. H. Ishibuc