干貨書！基于單調(diào)算子的大規(guī)模凸優(yōu)化

來源：專知
本文為書籍，建議閱讀5分鐘
本書為一階凸優(yōu)化方法提供了強(qiáng)大的更高層次的見解。

我們的目標(biāo)是通過單調(diào)算子的抽象對凸優(yōu)化算法進(jìn)行統(tǒng)一的分析。

• Announcement
• Introduction and Preliminaries
• Monotone operators and base splitting schemes 
• Set-valued operators
• Monotone operators
• Nonexpansive and averaged operators, Fixed-point iteration
• Resolvent
• Proximal point method, Operator splitting
• Variable metric methods
• Primal-dual methods
• Infimal postcomposition technique
• Dualization technique
• Variable metric technique
• Gaussian Elimination Technique
• Linearization technique
• Parallel computing
• Stochastic coordinate update methods
• Asynchronous coordinate update methods 
• Stochastic optimization
• ADMM-type methods 
• FLiP-ADMM
• Derived ADMM-type methods
• Duality in splitting methods 
• Maximality and monotone operator theory 
• Distributed and decentralized optimization
• Acceleration
• Scaled relative graphs