Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.09328 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912458686332928 |
|---|---|
| author | Orland, Henri |
| author_facet | Orland, Henri |
| contents | 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 (non-interacting particles). It is related to the problem of entropy-regularized Wasserstein optimal transport. In this article, we generalize Brownian bridges to systems of interacting particles. We derive some equations for the forward and backward single particle ``wave-functions'' which allow to compute the most probable evolution of the single-particle probability between the initial and final distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09328 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Schrödinger Bridges for Systems of Interacting Particles Orland, Henri Statistical Mechanics Computational Physics Data Analysis, Statistics and Probability 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 (non-interacting particles). It is related to the problem of entropy-regularized Wasserstein optimal transport. In this article, we generalize Brownian bridges to systems of interacting particles. We derive some equations for the forward and backward single particle ``wave-functions'' which allow to compute the most probable evolution of the single-particle probability between the initial and final distributions. |
| title | Schrödinger Bridges for Systems of Interacting Particles |
| topic | Statistical Mechanics Computational Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2503.09328 |