# A survey of the Schr"odinger problem and some of its connections with optimal transport

arXiv: https://arxiv.org/abs/1308.0215 · HTML: https://mlsanity.com/paper/1308.0215/

## Key facts

- Cited by 292 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Aug 2013.

## Built on by (most cited first, 30 of 292)

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- [Deep Generative Learning via Schr"odinger Bridge](https://mlsanity.com/paper/2106.10410/) (2021)
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- [The Schr"odinger Bridge between Gaussian Measures has a Closed Form](https://mlsanity.com/paper/2202.05722/) (2022)
- [Conditional Simulation Using Diffusion Schr"odinger Bridges](https://mlsanity.com/paper/2202.13460/) (2022)
- [Bayesian Learning via Neural Schr"odinger-F"ollmer Flows](https://mlsanity.com/paper/2111.10510/) (2021)
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- [Deep Generalized Schr"odinger Bridge](https://mlsanity.com/paper/2209.09893/) (2022)
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- [A Computational Framework for Solving Wasserstein Lagrangian Flows](https://mlsanity.com/paper/2310.10649/) (2023)
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## Abstract (arXiv)

This article is aimed at presenting the Schr"odinger problem and some of its connections with optimal transport. We hope that it can be used as a basic user's guide to Schr"odinger problem. We also give a survey of the related literature. In addition, some new results are proved.