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Moreau Identity

作者:互联网

1.不带参数:
p r o x f ( x ) + p r o x f ∗ ( x ) = x prox_{f}(x)+prox_{f^{*}}(x)=x proxf​(x)+proxf∗​(x)=x

2.带参数: λ \lambda λ
p r o x λ f ( x ) + λ p r o x f ∗    λ ( x λ ) = x prox_{\lambda f}(x)+\lambda prox_{\frac{f^{*}}{\;\lambda}}(\frac{x}{\lambda})=x proxλf​(x)+λproxλf∗​​(λx​)=x

标签:Moreau,frac,prox,proxf,参数,Identity,lambda
来源: https://blog.csdn.net/weixin_45620914/article/details/116330680