Who Drives the System? Classifying Mean-Field Particle Systems from Trajectory Data
谁驱动系统?根据轨迹数据分类平均场粒子系统
We study the supervised classification problem for interacting particle systems (IPS) from trajectory observations. The IPS belongs to one of K classes, each characterized by a distinct interaction drift. Given a learning dataset, the goal is then to predict the class label of a newly observed system based on the trajectory of a single particle. This setting raises several statistical challenges. First, the particles within each system interact and are therefore dependent.…