Temporary spectral regularization improves language model training over Muon

ORCA broadens weight-matrix spectra early in training, then removes the constraint so models can adapt without a higher loss floor.

Top University
Yuanshi Liu · Boyuan Jiang · Liang Hou · Xin Tao · Pengfei Wan · Zhouchen Lin · +1 more

Peking University · Kling Team

Research Digest··3 min read
Liu et al.

The authors first used a matrix-factorization model to study spectral conditioning in coupled weight matrices, which approximates the multiplicative interactions found in Transformers.

Why this paper

From Peking University and Kling Team

In one line

Temporary early orthogonality regularization during LLM training improves final validation loss over Muon.

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