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Oracle Complexity of Stochastic Fixed-Point Equations with Nonexpansive Maps

Diakonikolas, Jelena et al.
arXiv (All) · Papers
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data-structures-and-algorithmsmachine-learningoptimization-and-control
We study the oracle complexity of computing a point with small fixed-point residual $\|T(x)-x\| \leq ε$, for a general norm $\|\cdot\|$ and a self-map $T$ of a compact convex set. We study this problem in the setting where $T$ is nonexpansive with respect to the same norm $\|\cdot\|$ and accessed vi
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