# Mean field type control with species dependent dynamics via structured tensor optimization

arXiv: https://arxiv.org/abs/2305.15292 · HTML: https://mlsanity.com/paper/2305.15292/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 May 2023.

## Built on by (most cited first, 1 of 1)

- [Learning Sampled-data Control for Swarms via MeanFlow](https://mlsanity.com/paper/2603.20189/) (2026)

## Abstract (arXiv)

In this work we consider mean field type control problems with multiple species that have different dynamics. We formulate the discretized problem using a new type of entropy-regularized multimarginal optimal transport problems where the cost is a decomposable structured tensor. A novel algorithm for solving such problems is derived, using this structure and leveraging recent results in entropy-regularized optimal transport. The algorithm is then demonstrated on a numerical example in robot coordination problem for search and rescue, where three different types of robots are used to cover a given area at minimal cost.