I don’t see how this is relevant here. If it is the case that changing only w1 does not affect the loss, and changing only w2 does not affect the loss, then SGD would not change them (their gradient components will be zero), even if changing them both can affect the loss.
It’s relevant because it demonstrates that in differentiable functions, if it is the case that changing only w1 does not affect the loss, and changing only w2 does not affect the loss, then it is not possible that changing them both can affect the loss either.
I don’t see how this is relevant here. If it is the case that changing only w1 does not affect the loss, and changing only w2 does not affect the loss, then SGD would not change them (their gradient components will be zero), even if changing them both can affect the loss.
It’s relevant because it demonstrates that in differentiable functions, if it is the case that changing only w1 does not affect the loss, and changing only w2 does not affect the loss, then it is not possible that changing them both can affect the loss either.