Suppose we have an edge-weighted i a heat network, then we want to identify which edges
will be contribute in the heat convection.
I am using heat equation on a network and then solve it via least-squares problem.
I want to solve the heat equation
I have done the part which variables(weights) are relaxed to be between [0,1]. I used L1 regularization and active set methods in Matlab's fmincon to approximate the edge weights and then simulate the solution graph using edge-weights. Next step would be to solve this problem using exact methods, for example:branch and bound, etc. My question: is there would be right way to go with B&B?(I know it would be expensive to apply exact methods, but will worth to check and compare the solutions). Any other suggestion would be really appreciate. I could not find some references on the discrete methods for nonlinear least squares. Would you lease let me know if you know?
asked
Saber |