Abstract
Regression analysis is a powerful statistical method that support to inspect the relationship between two or more variables of interest. While there are many types of regression analysis, at their core they all examine the impact of one or more independent variables on a dependent variable. It is one of the most commonly used methods in many scientific fields. Satisfying the assumptions such as collinearity between variables ought to be a significant issue in data science. Advanced level tools such as Linear, Lasso, Ridge and ElasticNet regression are methods designed to overcoming a problem of overfitting a model. This study discusses comparing regression and regularization algorithms. It also deals with how the concept of model complexity unfolds for each of these models and provides an overview of how each algorithm builds a model. Moreover, it examines the strengths and weaknesses of each algorithm, as well as the type of data to which they can best be applied to irrigation water use efficiency under climate change. Finally, this work aims also to explain the meaning of the most important regularization criteria. It remains to say that the main contributions of this study are (1) Comparing linear and multilinear regression methods: case of climate change dataset using regression metrics (2) comparing regularization methods: Ridge, Lasso and ElasticNet.
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Raouhi, E.M., Lachgar, M., Kartit, A. (2022). Comparative Study of Regression and Regularization Methods: Application to Weather and Climate Data. In: Bennani, S., Lakhrissi, Y., Khaissidi, G., Mansouri, A., Khamlichi, Y. (eds) WITS 2020. Lecture Notes in Electrical Engineering, vol 745. Springer, Singapore. https://doi.org/10.1007/978-981-33-6893-4_22
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