Differential Spectrum-Based Adaptive Regularization for NMR <i>T</i> <sub>2</sub> Inversion in Noisy Data. [PDF]
Cheng Y, Feng C, Zhang H, Liu T, Sun T.
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Compressed sensing-based image reconstruction for discrete tomography with sparse view and limited angle geometries. [PDF]
Ali HA, Rashed EA, Kudo H.
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Seismic traveltime inversion with quantum annealing. [PDF]
Nguyen HA, Tura A.
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Optimized shaped pulses for a 2D single-frequency technique for refocusing (SIFTER). [PDF]
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Automatic Evaluation Algorithms for Radio Tomography Imaging Methods. [PDF]
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Tikhonov Regularization and Randomized GSVD
SIAM Journal on Matrix Analysis and Applications, 2016Summary: The generalized singular value decomposition (GSVD) is one of the essential tools in numerical linear algebra. This paper proposes a regularization method, combining Tikhonov regularization in general form with the truncated GSVD. Then the randomized algorithms are adopted to implement the truncation process.
Wei, Yimin, Xie, Pengpeng, Zhang, Liping
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Augmented Tikhonov regularization
Inverse Problems, 2008This paper proposes a regularizing functional of Tikhonov type that determines the regularization parameter and the noise level along with the solutions for linear inverse problems in the Bayesian framework. The existence of minimizers to the functional is shown, and properties of the minimizers are studied.
Bangti Jin, Jun Zou
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