Before revision:  We distinguish the detached behaviour of US natural gas from other energy commodities at both frequencies , while coal and Japan's natural gas only decouple at the cyclical frequency .
After revision:  Within the application we are able to denoise the latent signals by frequency. As a result, we also distinguish the detached behaviour of US natural gas from other energy commodities at both frequencies , while coal and Japan's natural gas only decouple at the cyclical frequency .