Multi-parameter Tikhonov regularization
Multi-parameter Tikhonov regularization
We study multi-parameter Tikhonov regularization, i.e., with multiple penalties.Such models are useful when the sought-for solution exhibits several distinct features simultaneously.Two choice rules, i.e., discrepancy principle and balancing principle, are studied for choosing an appropriate (vector-valued) regularization parameter, and some theoretical results are presented.In particular, the consistency of the discrepancy …