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Feb 1, 2022 at 14:40 comment added Sycorax @RadioControlled More like gradient descent is an unconstrained optimizer, so if you want to enforce inequality or equality constraints, it's a non-trivial amount of work and not something that is supported out of the box.
Feb 1, 2022 at 11:55 comment added Radio Controlled "constrained optimization is not something NN libraries are designed for" -- if I understood correctly, it would not be possible in general because a 0/1 condition is not differentiable?
Jan 31, 2022 at 13:54 vote accept Inevitable
Jan 30, 2022 at 14:09 comment added Sycorax @Inevitable It's not trial and error -- one is just a rescaling of the other, so they are in a certain sense identical. The choice between them amounts to whether you want to worry about rescaling your learning rate when you change minibatch size. stats.stackexchange.com/questions/358786/…
Jan 30, 2022 at 14:07 comment added Inevitable Yup I know the options but I thought some of theme has priority instead of try and error fashion of finding the good one.
Jan 30, 2022 at 14:00 comment added Sycorax @Inevitable Each example has loss something like $(\hat y - y)^2 + \lambda \text{ReLU}(i_3 - O)$. Some obvious options are $\sum_{j=1}^N \left[ (\hat y_j - y_j)^2 + \lambda \text{ReLU}(i_{3j} - O_j) \right]$ and $\frac 1 N\sum_{j=1}^N \left[ (\hat y_j - y_j)^2 + \lambda \text{ReLU}(i_{3j} - O_j) \right]$
Jan 30, 2022 at 11:40 comment added Inevitable I figured it out how to implement custom keras loss function. but the thing I'm thinking is how to deal with it when we have a array of outputs and inputs (rather than only one) is it a good idea to sum over all λReLU(i3−O) for each pair of input and output or you have better idea for it
Jan 29, 2022 at 15:45 vote accept Inevitable
Jan 31, 2022 at 13:54
Jan 29, 2022 at 15:03 history edited Sycorax CC BY-SA 4.0
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Jan 29, 2022 at 14:52 comment added Sycorax This isn’t a code website, and I don’t use Keras/TF, but tensorflow implements addition, multiplication and ReLU. There’s no guarantee that this will always respect the inequality, but choosing a larger $\lambda$ will assign larger penalties to violations of the constraint.
Jan 29, 2022 at 14:50 history edited Sycorax CC BY-SA 4.0
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Jan 29, 2022 at 14:34 comment added Inevitable Thank you. I got the concept you explained. is this solution definite? I mean that if I implement it successfully the condition always is true or there will be the risk that sometimes I fall into the same issue. and for the last part would you mind append a snippet code for your answer in order to implement it in tensorflow (although I'm looking for the way to implement it now) It would be your kindness. Thank you again
Jan 29, 2022 at 14:24 history answered Sycorax CC BY-SA 4.0