Harmonic Oscillator

The harmonic oscillator, a fundamental model in physics describing oscillatory motion, is currently a focus of research exploring its applications in diverse fields. Current studies investigate how machine learning models, particularly neural networks and transformers, represent and solve harmonic oscillator dynamics, analyzing their internal mechanisms and exploring the use of techniques like exponential moving averages to improve training stability. This research is significant because it enhances our understanding of how machine learning approaches model physical systems and could lead to improved algorithms for solving complex differential equations and modeling various phenomena across physics, engineering, and even psychology, where harmonic oscillator analogies are being explored.