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Operations research, linear programming, control theory, systems theory, optimal control, game theory

4 votes

Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising

The equation $ u_t = u_{xx} + u_{yy} $ is a gradient flow, or gradient descent, in the following sense. You should think of the equation as being placed in the space $L^2$. The Fréchèt derivative o …
Mark Peletier's user avatar