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Minimize the sum of squares of terms with different magnitude #602
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More concretely, I have set up a UDE for estimating the missing physics for a system with 3 states similar to this example Here is my loss function `function loss(θₚ)
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Edit - I misunderstood the issue before You could give some weights to the errors and run the optimization. a simple example assuming e3 ~ 1e6 * e1, 1e6 * e2 -
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Thank you for the suggestion, @Vaibhavdixit02. I tried something similar where I was trying to weigh the terms by using a factor that inflated the contribution of e1 and e2 where they are defined. This seemed to work OK. I'll try out your suggestion as well and get back. |
Hi. I am trying to minimize a sum of three terms for a parameter estimation problem where the magnitude of one of the terms is larger ( about an order of magnitude) than the other two. When I perform the optimization, it results in a much better fit on the parts of the system that affect the term with the larger magnitude. Could you please suggest how this can be avoided ?
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