# Results

Convergence comparison of parallel message passing, MAP with LBFGS, and INLA on a 200x200 grid. In the 500 observation case, INLA took 10 seconds, MAP 16 seconds, message passing 11 seconds.
![](convergence_inla_map_mp_200x200.png)

Convergence comparison of different values of $c$ on a 500x500 grid.
![](convergence_varying_c_500x500.png)

Demo of MC variance estimate on a 200x200 grid with 1500 observations when we use 16 samples.
![](mc_variance_demo_200x200.png)

Demo of MC variance estimate on a 200x200 grid with 1500 observations when we use 512 samples.
![](mc_variance_demo_200x200_512_samples.png)