293 citations · 1.8k across the 110 of their papers we have counts for
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math.NA2011★ 26 cited
A variational Bayesian method for inverse problems with impulsive noise
Bangti Jin
We propose a novel numerical method for solving inverse problems subject to impulsive noises which possibly contain a large number of outliers. The approach is of Bayesian type, an…
math.NA2011★ 21 cited
A new approach to nonlinear constrained Tikhonov regularization
Kazufumi Ito, Bangti Jin
We present a novel approach to nonlinear constrained Tikhonov regularization from the viewpoint of optimization theory. A second-order sufficient optimality condition is suggested…
math.NA2011★ 6 cited
Multi-Parameter Tikhonov Regularization
Kazufumi Ito, Bangti Jin, Tomoya Takeuchi
We study multi-parameter Tikhonov regularization, i.e., with multiple penalties. Such models are useful when the sought-for solution exhibits several distinct features simultaneous…