Uniqueness theorems for 3D inverse problems with incomplete data

Uniqueness Theorems for 30 Inverse Problems With Incomplete Data

In F&mm, Phys. Lett. 99A, (1983), 258-260, it is proved that a compactly supported inhomogeneity in the velocity profile is uniquely determined by the values of the acoustic pressure collected for aU positions of the source and receiver on the surface of the Earth (on the whole plane P) at low frequencies. Here it is proved that the data collected on Dr x Q2 sufl'ice for the uniqueness theorem ...

Uniqueness Theorems for Multidimensional inverse Problems with Unbounded Coefficients

Uniqueness Theorems for Inverse Obstacle Scattering Problems in Lipschitz Domains

For the Neumann and Robin boundary conditions the uniqueness theorems for inverse obstacle scattering problems are proved in Lipschitz domains. The role of non-smoothness of the boundary is analyzed.

The uniqueness theorem for inverse nodal problems with a chemical potential

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.

Data-driven Inverse Optimization with Incomplete Information

In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent’s objective function that best explains a historical sequence of signals and corresponding optimal actions. We formalize this inverse optimization problem as a distributionally robust program m...