Try putting YALMIP in the MATLAB path after CVX.
If you do so, I suggest removing geomean.m and logdet.m from the CVX installation; Because if you do not, those CVX files redirect to geo_mean and log_det. Which means that if YALMIP calls geomean and logdet, that would be converted into call to CVX’s geo_mean and log_det, and that would not end nicely. After removing geomean.m and logdet.m, you will still have geo_mean and log_det, which is what you actually need in CVX.
If you do all this, as far as I know, CVX and YALMIP should coexist and both work properly and completely.
And yes, i learned all this the hard way.