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Sharpness and Rigidity of the Two-Factor Recht-Re Lower Bound

Zhao, Jinze
arXiv (All) · Papers
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optimization-and-control
Products of positive semidefinite matrices arise when successive steps of a randomized optimization method use different data points. Their average can have a negative eigenvalue even though every individual matrix is positive semidefinite. Lai and Lim proved at ICML 2020 that $\sum_{i\ne j}A_iA_j\s
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