Dual-Anchor Acceleration Is Near-Optimal for Stochastic Monotone Root-Finding
Among distinct optimal acceleration mechanisms for deterministic monotone root-finding problems and fixed-point problems, dual-anchoring has recently been shown to admit a more robust direct stochastic extension than standard anchor acceleration. However, without additional strong monotonicity, the existing stochastic dual-anchoring guarantee has two limitations: first, it requires cocoercivity in expectation, and second, it attains only $O(ε^{-3})$ oracle complexity, leaving a gap to the near-optimal $\tilde{O}(ε^{-2})$ complexity achieved by other methods. In this work, we address both of these limitations by combining dual-anchoring with stochastic resolvent approximation and optimized...
| Authors | TaeHo Yoon, Nicolas Loizou |
|---|---|
| Primary category | math.OC |
| Published | 28 September 2026 |
| Last updated at source | 28 September 2026 |
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