Conceptpolar factor / 矩阵梯度正交化
Polar Factor
The column-orthogonal (or isometric) matrix factor in the polar decomposition of a matrix. It can be obtained via singular value decomposition and geometrically corresponds to uniformly scaling all singular values to 1 while preserving directional information.
Timeline (last 90 days)
Oct 16
The Muon optimizer replaces the traditional matrix gradient update with an approximate polar factor.
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