Pattern classification using polynomial and linear regression

Ciuiu, Daniel (2008): Pattern classification using polynomial and linear regression. Published in: Proceedings of International Conference Trends and Challenges in Applied Mathematics (2008): pp. 153-156.

Abstract

In this paper we will classify patterns using an algorithm analogous to the k-means algorithm and the regression polynomial of the degree k (for instance, if k=1 we obtain the regression line, and if k=2 we obtain the regression parable), and the regression hyper-plane. We will also present a financial application in which we apply these regressions if the points represent the interests for accounts with different terms.

• Item Type: MPRA Paper
• Language: English
• Keywords: Regression, pattern classification, k-means
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E51 - Money Supply ; Credit ; Money Multipliers; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C45 - Neural Networks and Related Topics

References

[1] Ciucu, G. and Craiu, V.: Statistical Inference, Didactic and Pedagogic Publishing House, Bucharest, 1974 (Romanian).

[2] Dumitrache, I., Constantin, N. and Drăgoicea, M.: Neural Networks, Matrix Rom, Bucharest, 1999 (Romanian).

[3] Petrehuş, V. and Popescu, A.: Probabilities and Statistics, UTCB Publishing House, Bucharest, 1997 (Romanian).

[4] Saporta, G.: Probabilités, analyse des donées et statistique, Editions Technip, Paris, 1990.