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Probabilistic grammar-based equation discovery

Author(s): Jure Brence (Author), Sašo Džeroski (Supervisor), Ljupčo Todorovski (Co-Supervisor)

Year: 2024

Type: Doctoral dissertation

In this thesis, we introduce novel methods for equation discovery (ED), based on the use of probabilistic grammars. ED and symbolic regression address the task of finding a symbolic mathematical model that best describes observed data. Models can be as simple as an algebraic equation or as complex as a …

A Machine Learning Approach to Polynomial Regression

Author(s): Aleksandar Pečkov (Author), Sašo Džeroski (Supervisor), Ljupčo Todorovski (Co-Supervisor)

Year: 2012

Type: Doctoral dissertation

In the thesis, we address the task of polynomial regression, i.e., inducing regression models based on polynomial equations, from data. We aim at improving and extending the existing approaches to learning polynomial regression models in several directions. First, we improve the existing methods for addressing the issue of over-fitting and …