Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

The inverse problems for motions of dynamic systems of which are described by system of the ordinary differential equations are examined. The classification of such type of inverse problems is given.

Abstract: In recent years, there has been notable progress in the development of inverse problems for image reconstruction in pulse-echo ultrasound. Inverse problems are designed to circumvent the ...

This repository contains the source code for our AAAI-2025 paper. Comments have been incorporated into the python scripts to help with clarity. In recent years, Graph Neural Networks (GNNs) have been ...

Abstract: Solving inverse problems requires the knowledge of the forward operator, but accurate models can be computationally expensive, and hence cheaper variants that do not compromise the ...

A scientist from the Mathematical Laboratory of RUDN University has obtained new results in a study of the inverse problem for coupled Schrödinger equations. This result will be useful for describing ...

Official PyTorch implementation of DiffusionMBIR, the CVPR 2023 paper "Solving 3D Inverse Problems using Pre-trained 2D Diffusion Models". Code modified from score_sde_pytorch. If you would like to ...

This page contains advise on how to get funding, and how to succeed in the world of science. The instructions are written from the point of view of PhD students and post docs working on inverse ...