Score matching and sub-Riemannian bridges | Vidéo | Carmin.tv

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Score matching and sub-Riemannian bridges

By Erlend Grong

Appears in collection : Geometric Sciences in Action: from geometric statistics to shape analysis / Les sciences géometriques en action: des statistiques géometriques à l'analyse de forme

We discuss how to simulate bridge processes by conditioning a stochastic process on a manifold whose generator is a hypo-elliptic operator. This operator is, up to a drift-term, the sub-Laplacian of a bracketgenerating sub-Riemannian structure, meaning in particular that it has positive smooth density everywhere. The logarithmic gradient of this density is called the score, and we show that it is needed to describe the generator of the bridge process. We therefore discuss several methods for how we can estimate the score using a neural network, with examples. The results are from a joint work with Stefan Sommer (Copenhagen) and Karen Habermann (Warwick).

Information about the video

Date of recording 27/05/2024
Date of publication 21/06/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20184903
Cite this video Grong, Erlend (27/05/2024). Score matching and sub-Riemannian bridges. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20184903
URL https://dx.doi.org/10.24350/CIRM.V.20184903

Domain(s)

Bibliography

GRONG, Erlend, HABERMANN, Karen, et SOMMER, Stefan. Score matching for sub-Riemannian bridge sampling. arXiv preprint arXiv:2404.15258, 2024. - https://doi.org/10.48550/arXiv.2404.15258

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