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Convergence of Rotation-based Matrix Optimizers: A Unified Analysis of SOAP, Conda, and SPlus

Sun, Yiwen et al.
arXiv (All) · Papers
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optimization-and-control
In this work, we develop a unified theoretical framework for analyzing the convergence of rotation-based matrix optimizers, which apply orthogonal transformations to map the momentum into a rotated space, perform coordinate-wise or normalized updates there, and then rotate the updates back. Our fram
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