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An accelerated first-order regularized momentum descent ascent algorithm for stochastic nonconvex-concave minimax problems

arXiv 2310.15448 ↗First posted 24 Oct 2023math.OC cs.LG stat.MLcited by 1

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Abstract (arXiv)

Stochastic nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose an accelerated first-order regularized momentum descent ascent algorithm (FORMDA) for solving stochastic nonconvex-concave minimax problems. The iteration complexity of the algorithm is proved to be tildeO(varepsilon -6.5) to obtain an varepsilon-stationary point, which achieves the best-known complexity bound for single-loop algorithms to solve the stochastic nonconvex-concave minimax problems under the stationarity of the objective function.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 41 of its 59 references that are in the map. First posted on arXiv 24 Oct 2023.

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41 of 59 references.

References · 41

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29 more
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