A significant body of knowledge exists on inverse problems and extensive research has
been conducted on data-driven design in the past decade. This paper provides a …

The so-called zeroing neural network (ZNN) is an effective recurrent neural network for
solving dynamic problems including the dynamic nonlinear equations. There exist numerous …

We consider the problem of reconstructing the shape of multi-scale sound-soft large rough
surfaces from phases measurements of the scattered field generated by tapered waves with …

We present a numerical method for approximating the solution of convex integer programs
stemming from optimal experimental design. The statistical setup consists of a Bayesian …

Inversion technology is widely used in the seismic field for an image of the subsurface
reflectivity or impedance structure, which is more consistent with geological characteristics …

The conventional amplitude-variation-with-offset (AVO) inversion method based on the
amplitude attribute of prestack gathers calculates the elastic parameters of underground …

Inverse problems play a central role in data analysis across the fields of science. Many
techniques and algorithms provide parameter estimation including the best-fitting model and …

A problem of identification of the set of a thermal-conductivity coefficients for the nonlinear
heat equation in the case of non-uniqueness is considered. Classes of inverse heat …

Abstract Gravity Recovery and Climate Experiment (GRACE) twin satellites have been
observing the mass transports of the Earth inferred by the monthly gravity field solutions in …

The article is devoted to a review of the following new elements of the modern theory of
solving inverse problems:(a) general theory of Tikhonov's regularization with practical …