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Waves and Imaging, Adjoint-state Methods - MIT OpenCourseWare A systematic, painless way of solving the adjoint problem is to follow the following sequence of three steps: (i) time-reverse the data dext at each receiver, (ii) solve the wave equation forward in time with this new right-hand-side, and (iii) time-reverse the result at each point x
Adjoint State Method, Backpropagation and Neural ODEs You probably heard about Neural ODEs, a neural network architecture based on ordinary differential equations To train this kind of models, a mysterious trick called _the adjoint state method_ is used How does it work, why do we need it, and how it is related to backpropagation?