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is it possible to do "weighted" gradient descent on

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is it possible to do "weighted" gradient descent on piece wise defined functions?

>inb4 hurr durr retard

like doing a bias of one term over the other, if it is possible, what would the graph/gradients even look like or mean?

its easy to say that the gradients are pointing towards the downward/upward slope, but what would it geometrically look like in R3 for weighted piecewise functions?
>>
I guess the functions would have to be differentiable and smooth. So it would look like any normal gradient, aesthetically. I don't know what you mean by weighted.
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