correlated maximum a-posteriori are actually the same it's because the I mean big part is essentially it's a very simple distribution compared to most distributions and it happens to simplify that way an alternative you can do in situations like this often is to in this case in particular you can solve an optimization problem because essentially trying to find the set of variables that maximizes the objective namely the log probability some of the log probabilities of the evidences is just a Comics optimization problem you can also