Schrödinger bridges for systems of interacting particles.
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- Record sourced from PubMed, PMID 40826541.
- Also identified by DOI 10.1103/tdgg-dp3g.
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Abstract
A Schrödinger bridge is the most probable time-dependent probability distribution that connects an initial probability distribution w_{i} to a final one w_{f}. The problem has been solved and widely used for the case of simple Brownian evolution (noninteracting particles). It is closely related to the problem of entropy-regularized Wasserstein optimal transport. In this article, we generalize the problem to systems of interacting particles. We derive some equations for the forward and backward single-particle "wave functions," which allows computation of the most probable evolution of the single-particle probability between the initial and final distributions.