Formation-Controlled Dimensionality Reduction

arXiv:2404.06808v1 Announce Type: new
Abstract: Dimensionality reduction represents the process of generating a low dimensional representation of high dimensional data. Motivated by the formation control of mobile agents, we propose a nonlinear dynamical system for dimensionality reduction. The system consists of two parts; the control of neighbor points, addressing local structures, and the control of remote points, accounting for global structures. We also include a brief mathematical observation of the model and its numerical procedure. Numerical experiments are performed on …

abstract agents arxiv control cs.lg data dimensionality low mobile process representation type