Nonsmooth optimization (NSO) refers to the general problem of minimizing (or maximizing) functions that are typically not differentiable. Due to the complexity of the real world, functions involved in practical applications are often nonsmooth. For example, a wide range of problems in the fields of machine learning and multi-agent system can fall into NSO form Tibshirani et al. (2005), Lin et al. (2017). Therefore, NSO problems for multi-agent systems have attracted more and more attention due to the wide applications.

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Distributed Proximal-Gradient Algorithms for Nonsmooth Convex Optimization of Second-Order Multi-agent Systems

  • Qing Wang,
  • Bin Xin,
  • Jie Chen

摘要

Nonsmooth optimization (NSO) refers to the general problem of minimizing (or maximizing) functions that are typically not differentiable. Due to the complexity of the real world, functions involved in practical applications are often nonsmooth. For example, a wide range of problems in the fields of machine learning and multi-agent system can fall into NSO form Tibshirani et al. (2005), Lin et al. (2017). Therefore, NSO problems for multi-agent systems have attracted more and more attention due to the wide applications.