A technique includes receiving seismic data acquired by seismic sensors; and processing the seismic data on a machine to deghost the data. The processing includes deghosting the seismic data using a first deghosting technique that relies on a ghost model; deghosting the seismic data using a second deghosting technique that is independent from any modeling of the ghost; and selectively combining the results of the deghosting using the first and second deghosting techniques.