EQUATION DISCOVERY USING MODE EXTRACTION VIA SINGULAR VALUE DECOMPOSITION

Abstract

Many studies have been conducted to clarify unknown input/output systems based on measured data obtained via experiments and observations. Specifically, neural networks, which have been significantly developed in recent years, can be used for equation discovery. However, the identified networks are extremely large and difficult to understand. Although many studies have been conducted on mathematical expressions that are easy to understand, there is a paucity of studies on methods for determining a simple equation by eliminating unnecessary terms.