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, t...

During auditory stimulation with several frequency components, distortion products (DPs) are generated as byproduct of nonlinear cochlear amplification. After generated, DP energy is reemitted into the ear channel where it can be measured as DP otoacoustic emission (DPOAE), and it also induces an excitatory response at cochlear places related to the DP frequencies. We measured responses of 91 i...

A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(δ) is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator. MSC: 47J05, 47J06, 47J35, 65R30

A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(δ) is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator. MSC: 47J05, 47J06, 47J35, 65R30

In this paper, I argue that genitive possessors should be distinguished from possessive modifiers and that possessor extraction is allowed in Chinese. Unlike previous analyses that treat sentences with possessors at the sentence-initial position as involving base-generation, I show that the construction at issue is island sensitive. My point of departure is Boškovic’s (2005) generalization that...

Desmoplakins (DPs) I and II (approximately equal to 240 and approximately equal to 210 kDa) are major components of the internal portion of the desmosomal cytoplasmic plaque. Desmosomes play a crucial role in cell-cell adhesion and serve as specific attachment sites for cytoplasmic intermediate filaments. Although DP-I and -II are closely related molecules, their structure (i.e., amino acid or ...