pd.rolling_mean becoming deprecated - alternatives for ndarrays

Question

EDIT: This question was asked in 2016 and similar questions have been posted on SO years later after the functionality was finally removed, e.g. module 'pandas' has

Answer 1

If your dimensions are homogeneous, you could try to implement an n-dimensional form of the Summed Area Table used for bidimensional images:

A summed area table is a data structure and algorithm for quickly and efficiently generating the sum of values in a rectangular subset of a grid.

Then, in this order, you could:

1. Create the summed area table ("integral") of your array;
2. Iterate to get the (quite cheap) sum of a n-dimensional kernel at a given position;
3. Divide by the size of the n-dimensional volume of the kernel.

Unfortunately I cannot know if this is efficient or not, but the by the given premise, it should be.