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math.NA2026
What Inverse Problems Can Be Solved Using Neural Networks?
A. S. Leonov, D. V. Lukyanenko
The relationship between classical methods for solving inverse problems and neural network methods is examined. An answer is provided to the question of what inverse problems can b…
math.NA2021★ 6 cited
A fast algorithm for solving a three-dimensional inverse multiple frequency problems of scalar acoustics in a cylindrical region
Anatoly B. Bakushinsky, Alexander S. Leonov
A new algorithm for the stable solution of a three-dimensional scalar inverse problem of acoustic sounding of an inhomogeneous medium in a cylindrical region is proposed. The data…