Before revision:  To achieve this goal, we apply a doubly randomized scheme (see, e.g.,~\mbox{%DIFAUXCMD ub_mcmc, ub_grad that involves a novel coupled conditional particle filter (CCPF) on the second level of randomization \mbox{%DIFAUXCMD jacob2 .
After revision:  To achieve this goal, we apply a doubly randomized scheme doubly randomized scheme, that involves a novel coupled conditional particle filter (CCPF) on the second level of randomization \mbox{%DIFAUXCMD jacob2 .