1. A computerized method comprising: concatenating a plurality of initial decimation filters into an initial combined decimation filter, wherein the plurality of initial decimation filters are assigned to a plurality of classes, the plurality of classes associating the plurality of initial decimation filters with a plurality of regions of an image to be predicted; generating an input signal from the initial combined decimation filter, wherein the input signal is weighted with a plurality of prediction filters; generating a correlation matrix for the initial combined decimation filter from the input signal; generating an observation vector for the initial combined decimation filter from the input signal; extracting an optimized combined decimation filter from the correlation matrix and the observation vector, the optimized combined decimation filter comprising a plurality of optimized decimation filters; and de-concatenating the optimized combined decimation filter into the plurality of optimized decimation filters.