DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems
This paper presents a regularization framework that aims to improve the fidelity of Tikhonov inverse solutions. At the heart of the framework is the data-informed regularization idea that only data-uninformed parameters need to be regularized, while the ...
Hai Nguyen +2 more
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Constrained regularization methods for ozone profile retrieval from UV/VIS nadir spectrometers [PDF]
In this paper we present several constrained regularization methods for ozone profile retrieval from UV/VIS nadir sounding instruments such as GOME, SCIAMACHY, OMI and GOME-2.
Doicu, Adrian +2 more
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This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and ...
Germana Landi +2 more
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Regularization by Intrinsic Plasticity and its Synergies with Recurrence for Random Projection Methods [PDF]
Neumann K, Emmerich C, Steil JJ. Regularization by Intrinsic Plasticity and its Synergies with Recurrence for Random Projection Methods. Journal of Intelligent Learning Systems and Applications. 2012;4(3):230-246.Neural networks based on high-dimensional
Emmerich, Christian +2 more
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Reconstruction of Mercury's internal magnetic field beyond the octupole [PDF]
The reconstruction of Mercury's internal magnetic field enables us to take a look into the inner heart of Mercury. In view of the BepiColombo mission, Mercury's magnetosphere is simulated using a hybrid plasma code, and the multipoles of the internal ...
S. Toepfer +10 more
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Temperature dependence of relaxation spectra for highly hydrated gluten networks [PDF]
In the present investigation, the temperature dependence (0e50 C) of the relaxation spectrum of hydrated gluten was studied using novel numerical algorithms. Tikhonov regularization, in conjunction with the L-curve criterion for optimal calculation of
Kasapis, Stefan, Kontogiorgos, Vassilis
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Near-Optimal Parameters for Tikhonov and Other Regularization Methods [PDF]
For overdetermined discrete ill-posed linear problems having coefficient matrix with full rank for which the discrete Picard condition is satisfied a heuristic for choosing the regularization parameter in Tikhonov regularization and Lavrentiev's simplified Tikhonov regularization is proposed.
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Prediction of propagated wave profiles based on point measurement
This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time.
Lee Sang-Beom +3 more
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Signal Restoration Combining Modified Tikhonov Regularization and Preconditioning Technology
The purpose of signal restoration is to acquire a clean signal from the degraded signal which contains blur and noise. In this paper, a modified Tikhonov regularization method based on the standard Tikhonov regularization matrix is proposed, and the ...
Hong-Xia Dou +3 more
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Extrapolation of Tikhonov and Lavrentiev regularization methods
We consider solution of linear ill-posed problem Au = f by Tikhonov method and by Lavrentiev method. For increasing the qualification and accuracy of these methods we use extrapolation, taking for the approximate solution linear combination of n ≥ 2 approximations of Tikhonov or Lavrentiev methods with different parameters and with proper coefficients.
Uno Hämarik, Reimo Palm, Toomas Raus
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