Before revision:  has recently attracted an increasing amount of interest as a remedy to the fact that the direct n-block generalization of ADMM is not necessarily convergent (n \geq 3) . Even if, in practice, the introduction of such techniques could mitigate the diverging behaviour of the n-block extension of ADMM, from the theoretical point of view, it can ensure just the convergence in expectation , which may not be a good indicator of its robustness and efficiency.
After revision:  has recently attracted an increasing amount of interest as a remedy to the fact that the direct multi-block generalization of ADMM is not necessarily convergent (n \geq 3) . Even if, in practice, the introduction of such techniques could mitigate the diverging behaviour of the n-block extension of ADMM, from the theoretical point of view, it can ensure just the convergence in expectation , which may not be a good indicator of its robustness and efficiency.