# Multicausal transport: barycenters and dynamic matching

arXiv: https://arxiv.org/abs/2401.12748 · HTML: https://mlsanity.com/paper/2401.12748/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2024.

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

- [Kullback-Leibler Barycentre of Stochastic Processes](https://mlsanity.com/paper/2407.04860/) (2024)

## Abstract (arXiv)

We introduce a multivariate version of causal transport, which we name multicausal transport, involving several filtered processes among which causality constraints are imposed. Subsequently, we consider the barycenter problem for stochastic processes with respect to causal and bicausal optimal transport, and study its connection to specific multicausal transport problems. Attainment and duality of the aforementioned problems are provided. As an application, we study a matching problem in a dynamic setting where agent types evolve over time. We link this to a causal barycenter problem and thereby show existence of equilibria.