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Yes, you are correct. By default, the code directly decomposes the weight matrix itself instead of the historical update.
It turns out that directly decomposing the weight matrix also works. This may because as the training progresses, the weight matrix itself contains enough information about the historical update, i.e., we do not need to subtract the weight at initialization from the current weight to get the historical update. Still, you can set warmup_epoch>1 to compute the historical update explicitly.
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