• Corpus ID: 117898522

Non-Smooth Variational Data Assimilation with Sparse Priors

  title={Non-Smooth Variational Data Assimilation with Sparse Priors},
  author={Ardeshir M. Ebtehaj and Efi Foufoula‐Georgiou and Sara Q. Zhang and Arthur Hou},
  journal={arXiv: Data Analysis, Statistics and Probability},
This paper proposes an extension to the classical 3D variational data assimilation approach by explicitly incorporating as a prior information, the transform-domain sparsity observed in a large class of geophysical signals. In particular, the proposed framework extends the maximum likelihood estimation of the analysis state to the maximum a posteriori estimator, from a Bayesian perspective. The promise of the methodology is demonstrated via application to a 1D synthetic example. 

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