# Formation-Controlled Dimensionality Reduction

arXiv: https://arxiv.org/abs/2404.06808 · HTML: https://mlsanity.com/paper/2404.06808/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 17 references that are in the map.
- First posted on arXiv 10 Apr 2024.

## Builds on (most cited first, 1 of 1)

- [A survey of dimensionality reduction techniques](https://mlsanity.com/paper/1403.2877/) (2014)

## Abstract (arXiv)

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 analysis of the model and its numerical procedure. Numerical experiments are performed on both synthetic and real datasets and comparisons with existing models demonstrate the soundness and effectiveness of the proposed model.