This paper extends the successful maxiset paradigm from function estimation to signal detection in inverse problems. In this context, the maxisets do not have the same shape compared to the classical estimation framework. Nevertheless, we introduce a robust version of these maxisets allowing to exhibit tail conditions on the signals of interest. Under this novel paradigm we are able to compare direct and indirect testing procedures.

中文翻译：

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逆问题中信号检测的最大视点

本文将成功的maxiset范式从函数估计扩展到逆问题中的信号检测。在这种情况下，与经典估计框架相比，极大值的形状不同。然而，我们引入了这些maxisets的强大版本，可以在感兴趣的信号上显示尾部条件。在这种新颖的范式下，我们能够比较直接和间接的测试程序。