ABSTRACT We tackle the problem of recovering an unknown signal observed in an ill-posed inverse problem framework. More precisely, we study a procedure commonly used in numerical analysis or image deblurring: minimizing an empirical loss function balanced by an l penalty, acting as a sparsity constraint. We prove that, by choosing a proper loss function, this estimation technique enables to bui...

Legislative regulation, establishing the forms of relations between persons, in case non-compliance with proposed model behavior, provides for either application sanctions or qualification actual accordance established legal forms. In latter case, signs that may have nothing to do reality are often imputed such relationships. Thus, example, author proposes consider a group persons as collective...