If I understand the theory correctly the adaptive bin-sizes give a better fit than a fixed step-size (since you're choosing the optimal partition, and the adapt

If I understand the theory correctly the adaptive bin-sizes give a better fit than a fixed step-size (since you're choosing the optimal partition, and the adaptive partitions include all possible fixed step partitions). You can of course use the same criterion to choose an optimal step-size, this is fairly easy to do with just brute force.