A Short Note of PAGE: Optimal Convergence Rates for Nonconvex Optimization
arXiv:2106.09663v17 citations
Originality Synthesis-oriented
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This is an incremental contribution aimed at researchers in optimization, offering clearer insights for future work.
The authors revisited the PAGE algorithm for nonconvex optimization, providing a simplified convergence analysis to achieve optimal rates, though no new experimental results or concrete numbers were reported.
In this note, we first recall the nonconvex problem setting and introduce the optimal PAGE algorithm (Li et al., ICML'21). Then we provide a simple and clean convergence analysis of PAGE for achieving optimal convergence rates. Moreover, PAGE and its analysis can be easily adopted and generalized to other works. We hope that this note provides the insights and is helpful for future works.