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单词 Trust region
释义

Trust region

英语例句库

By using active set strategy, the authors need only to solve a reduced trust region subproblem which is solved inexactly by the truncated conjugate gradient method.

作者利用有效集策略,在每次迭代中只需求解一个低维的信赖域子问题,该信赖域子问题是通过截断共轭梯度法来近似求解的。

中文百科

置信域方法

置信域方法Trust-region methods)又称为信赖域方法,它是一种最优化方法,能够保证最优化方法总体收敛。

置信域方法的历史可以追溯到Levenberg(1944),Marquardt(1963),Goldfeld,Quandt and Trotter(1966),但现代置信域方法是Powell(1970)提出来的。他明确提出了置信域子问题,接受方向步s_k的准则,校正置信域半径\nabla _k的准则,及收敛性定理。这些措施使置信域方法比线搜索方法具有更大的优越性。

英语百科

Trust region 置信域方法

The graph of a strictly concave quadratic function is shown in blue, with its unique maximum shown as a red dot. Below the graph appears the contours of the function: The level sets are nested ellipses.

Trust region is a term used in mathematical optimization to denote the subset of the region of the objective function that is approximated using a model function (often a quadratic). If an adequate model of the objective function is found within the trust region then the region is expanded; conversely, if the approximation is poor then the region is contracted. Trust region methods are also known as restricted step methods.

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更新时间:2025/6/20 15:23:12