V2EX proximal method

Proximal Method

定义 Definition

proximal method(近端方法):一种常用于凸优化信号处理/机器学习的迭代算法框架;在每一步中,用一个更容易求解的子问题来近似原问题,通常包含“靠近当前点”的惩罚项或通过近端算子(proximal operator)来处理不可微的正则项(如 L1)。

发音 Pronunciation (IPA)

/prksml mθd/

例句 Examples

The proximal method can handle an L1 regularizer efficiently.
近端方法可以高效处理 L1 正则项。

In large-scale convex optimization, proximal methods often converge reliably by splitting a difficult objective into simpler subproblems.
在大规模凸优化中,近端方法常通过把困难目标函数拆成更简单的子问题而稳定收敛。

词源 Etymology

proximal 来自拉丁语 proximus(“最近的”),强调“靠近/近端”的含义;method 来自希腊语 methodos(“追随某条路径/系统途径”)。合起来,“proximal method”字面意思是“近端的求解方法”,指每一步都在“离当前解不远”的范围内构造易解更新。

相关词 Related Words

文献作品 Literary Works

  • Convex Optimization(Boyd & Vandenberghe)
  • First-Order Methods in Optimization(Amir Beck)
  • Proximal Algorithms(Parikh & Boyd,综述讲义/论文)
  • Convex Analysis and Monotone Operator Theory in Hilbert Spaces(Bauschke & Combettes)
  • Introductory Lectures on Convex Optimization: A Basic Course(Yurii Nesterov)
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