|
 
|
[BBC09] A robust probabilistic approach for variational inversion in shallow water acoustic tomography
Revue Internationale avec comité de lecture : Journal Inverse Problems, vol. 25(11), pp. &&, 2009, (doi:doi:10.1088/0266-5611/25/11/115016)
motcle:
Résumé:
This paper presents a variational methodology for inverting shallow water acoustic tomography (SWAT) measurements. The aim is to determine the vertical profile of the speed of sound c(z), knowing the acoustic pressures generated by a frequency source and collected by a sparse vertical hydrophone array (VRA). A variational approach that minimizes a cost function measuring the distance between observations and their modeled equivalents is used. A regularization term in the form of a quadratic restoring term to a background is also added. To avoid inverting the variance–covariance matrix associated with the above-weighted quadratic background, this work proposes to model the sound speed vector using probabilistic principal component analysis (PPCA). The PPCA introduces an optimum reduced number of non-correlated latent variables η, which determine a new control vector and a new regularization term, expressed as ηTη. The PPCA represents a rigorous formalism for the use of a priori information and allows an efficient implementation of the variational inverse method.
Commentaires:
http://iopscience.iop.org/0266-5611/25/11/115016/pdf/0266-5611_25_11_115016.pdf
Equipe:
msdma
Collaboration:
UPMC
BibTeX
| @article { | |||
| BBC09, | |||
| title | = | "{A robust probabilistic approach for variational inversion in shallow water acoustic tomography}", | |
| author | = | "M. Berrada and F. Badran and M. Crepon and J. Hermand and S. Thiria", | |
| journal | = | "Inverse Problems", | |
| year | = | 2009, | |
| volume | = | 25, | |
| number | = | 11, | |
| pages | = | "&&", | |
| note | = | "{http://iopscience.iop.org/0266-5611/25/11/115016/pdf/0266-5611_25_11_115016.pdf}", | |
| doi | = | "doi:10.1088/0266-5611/25/11/115016", | |
| } | |||
