“…This raises challenging questions, in terms of convergence analysis, as the communication delays may introduce instabilities. A plethora of recent works have focused on proposing distributed optimization algorithms with assessed convergence, based on stochastic proximal primal [13,14] or primal-dual [15,16,17,18,19,20] techniques. However, as they rely on the formulation of dual instances of a stochastic coordinate descent strategy, those algorithms are limited to convex (sometimes even strongly convex) optimization and often require specific probabilistic assumptions on the block update rule difficult to meet in practice.…”