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Regrets of proximal method of multipliers for online non-convex optimization with long term constraints

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Publication:2679238
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DOI10.1007/s10898-022-01196-2OpenAlexW4224952751MaRDI QIDQ2679238

Xiantao Xiao, Haoyang Liu, Li-wei Zhang

Publication date: 19 January 2023

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.10986


zbMATH Keywords

complementarity residual regretconstraint violation regretLagrangian gradient violation regretonline non-convex optimizationproximal method of multipliers with quadratic approximations


Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26)




Cites Work

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  • A primal-dual perspective of online learning algorithms
  • Efficient algorithms for online decision problems
  • Online Learning and Online Convex Optimization
  • Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
  • First-Order Methods in Optimization
  • Online Learning Based on Online DCA and Application to Online Classification
  • Optimization with Non-Differentiable Constraints with Applications to Fairness, Recall, Churn, and Other Goals
  • Understanding Machine Learning
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