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This paper extends the successful maxiset paradigm from function estimationto signal detection in inverse problems. In this context, the maxisets do nothave the same shape compared to the classical estimation framework.Nevertheless, we introduce a robustified version of these maxisets, allowing toexhibit tail conditions on the signals of interest. Under this novel paradigmwe are able to compare direct and indirect testing procedures.

Maxiset point of view for signal detection in inverse problems