Skip to content

Conversation

@massena-t
Copy link

Add Preconditioning to the Muon Optimizer

In this commit, we implement different preconditioning methods for the Muon optimizer. Notably:

These options allow the user to tweak the trade-off between convergence speed of the Newton-Schulz iterative scheme and the computational budget associated to the preconditioning method.

We also add options to choose the coefficients used in the Newton-Schulz iterations. Further development could implement the PolarExpress (https://arxiv.org/abs/2505.16932) or CAN methods (https://arxiv.org/abs/2506.10935).

Co-authored-by: Thibaut Boissin <thibaut.boissin@irt-saintexupery.com>
@google-cla
Copy link

google-cla bot commented Feb 11, 2026

Thanks for your pull request! It looks like this may be your first contribution to a Google open source project. Before we can look at your pull request, you'll need to sign a Contributor License Agreement (CLA).

View this failed invocation of the CLA check for more information.

For the most up to date status, view the checks section at the bottom of the pull request.

@massena-t massena-t marked this pull request as draft February 11, 2026 15:38
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

1 participant