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Jordan et al.: Muon momentum-update orthogonalization

Combined momentum with inexpensive approximate Newton–Schulz orthogonalization of matrix-valued hidden-layer updates, with empirical neural-network training evaluations.

What is recorded here?

Combined momentum with inexpensive approximate Newton–Schulz orthogonalization of matrix-valued hidden-layer updates, with empirical neural-network training evaluations.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

Approximate finite matrix iterations are not exact orthogonalization or a global training guarantee. Other parameter groups use an auxiliary optimizer. Orthogonal-gradient, Shampoo and numerical-iteration predecessors retain credit; later MuonClip is distinct.

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People and systems

Keller Jordan; Yuchen Jin; Vlado Boza; Jiacheng You; Franz Cesista; Laker Newhouse; Jeremy Bernstein

Source-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.

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English catalogue narrative

Jordan et al.: Muon momentum-update orthogonalization

Combined momentum with inexpensive approximate Newton–Schulz orthogonalization of matrix-valued hidden-layer updates, with empirical neural-network training evaluations.

Scientific scope

Approximate finite matrix iterations are not exact orthogonalization or a global training guarantee. Other parameter groups use an auxiliary optimizer. Orthogonal-gradient, Shampoo and numerical-iteration predecessors retain credit; later MuonClip is distinct.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Keller Jordan; Yuchen Jin; Vlado Boza; Jiacheng You; Franz Cesista; Laker Newhouse; Jeremy Bernstein

Source-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.

Original sources