Shampoo achieves higher token efficiency than Muon in language models.
arXiv research
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Study shows momentum-based optimizers like Muon and MomentumGD bias towards KKT points in smooth homogeneous models.
Adam's bias shifts from full-batch to max-margin of different norms for separable data.
Using back-propagation and its variants to train deep networks is often problematic for new users. Issues such as exploding gradients, vanishing gradients, and high sensitivity to weight initialization strategies often make networks difficult to train, especially when users are experimenting with new architectures. Her…
In this paper, we propose a new first-order gradient-based algorithm to train deep neural networks. We first introduce the sign operation of stochastic gradients (as in sign-based methods, e.g., SIGN-SGD) into ADAM, which is called as signADAM. Moreover, in order to make the rate of fitting each feature closer, we defi…
Improved SVM classification with interpretable features from scattered data.