• Corpus ID: 250089346

Data Assimilation in Operator Algebras

@inproceedings{Freeman2022DataAI,
  title={Data Assimilation in Operator Algebras},
  author={David M. Freeman and Dimitrios Giannakis and Brian Mintz and Abbas Ourmazd and Joanna Slawinska},
  year={2022}
}
. We develop an algebraic framework for sequential data assimilation of partially observed dynamical systems. In this framework, Bayesian data assimilation is embedded in a non-abelian operator algebra, which provides a representation of observables by multiplication operators and probability densities by density operators (quantum states). In the algebraic approach, the forecast step of data assimilation is represented by a quantum operation induced by the Koopman operator of the dynamical… 
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