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Convergence Rates of Factorized Gradient Descent for Overparameterized Asymmetric Matrix Sensing with Balancing Regularization

Chen, Yongjun et al.
arXiv (All) · Papers
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optimization-and-control
We study factorized gradient descent (FGD) for overparameterized asymmetric matrix sensing with the balancing regularizer $\frac18\|L^\top L-R^\top R\|_F^2$. An exact indefinite lifting of the population objective decomposes the dynamics of FGD into positive, negative, and null spectral subspaces. T
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