Function Search Automated by Evolutionary Machine Learning

The paper argues that modern machine learning methods make it possible to find mathematical expressions for various multidimensional functions. The article formulates a list of problems in which it is necessary to find a mathematical expression of a multidimensional function as a solution. Searching for control functions also belongs to the class of such problems. The presented list of problems is a proposal to researchers in the field of computational mathematics to develop new effective general methods of machine learning in order to obtain mathematical expressions of the desired functions. To solve the stated problems, the paper presents a structural-parametric approach based on evolutionary machine learning methods using symbolic regression. The paper presents solutions for three example problems of the function search.