Systems and methods for seismic processing are provided. For example, the method may include modeling seismic data as a combination of a modeling matrix and a parameter vector, and determining a plurality of solution spaces of filter models for the parameter vector. The method may also include calculating data residual terms for the filter models, wherein the data residual terms are related to a difference between the seismic data and a combination of the modeling matrix and the parameter vector determined using the filter models. The method may further include selecting a solution filter model for the parameter vector from among the filter models based on a combination of the data residual terms and complexities of the filter models, and performing a seismic processing operation using the solution filter model and the seismic data.