Submitted to ArXiV, 24 August 2022
In this paper, we propose our information-theoretic equivalence of entropic multimarginal optimal transport (MOT). This equivalence can be easily reduced to the case of entropic optimal transport (OT). Because OT is widely used to compare differences between knowledge or beliefs, we apply this result to the communication between agents with different beliefs. Our results formally prove the statement that entropic OT is information-theoretically optimal given by Wang et al. [2020] and generalize it to the multi-agent case. We believe that our work can shed light on OT theory in future multi-agent teaming systems.
Type:
Conférence
Date:
2022-08-29
Department:
Systèmes de Communication
Eurecom Ref:
7002
Copyright:
© EURECOM. Personal use of this material is permitted. The definitive version of this paper was published in Submitted to ArXiV, 24 August 2022 and is available at :
