calculation forget about any kind of algorithms you say I'm gonna compute the full joint over all access given the evidence that's gonna be a Gaussian the Gaussian for all X is given the evidence well if we have a Gaussian for all X is given the evidence what's the thing that's most likely it's the means all the means and if you wonder what's the most likely for this single time slice given all the evidence it's also the mean for that single time slice so it's a very special case where the means and the fool