“…Indeed, the compressed sensing fields have helped to tackle many difficulties related to seismic data starting from acquisition to full waveform inversion by exploiting the sparse structure of seismic data (Herrmann et al., 2013; Lin & Herrmann, 2013; Mansour et al., 2012). Conventionally, seismic compression algorithms are based on fixed sparse transforms (Averbuch et al., 2001; Duval & Rosten, 2000; Fajardo et al., 2015; Wang et al., 2004; Zheng & Liu, 2012), where the basis functions are analytically predefined and already known by the encoder and decoder, such as discrete cosines, wavelets and others (Elad, 2010; Mallat, 2008). By contrast, other seismic compression algorithms based on learned transforms have recently emerged.…”