Higher order kernel mean embeddings to capture filtrations of stochastic processes

Stochastic processes are random variables with values in some space of paths. However, reducing a stochastic process to a path-valued random variable ignores its filtration, i.e. the flow of information carried by the process through time. By conditioning the process on its filtration, we introduce...

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Bibliographic Details
Main Authors: Salvi, C, Lemercier, M, Liu, C, Horvath, B, Damoulas, T, Lyons, T
Format: Conference item
Language:English
Published: Curran Associates 2022