Machine Search Problem for Mathematical Expression

Abstract The problem of searching for a mathematical expression is formulated. Classes of mathematical problems where this problem is in demand are presented. A general approach to solving this problem based on machine learning using symbolic regression methods is given. This approach allows finding not only the parameters of the desired mathematical expression, but also its structure. The general problem of machine learning by methods of symbolic regression is described and a unified approach to overcoming it based on the application of the principle of small variations of the basis solution is given.