“…As such, image annotation is treated as a multi-label learning problem, where tag correlations play a key role. Most common tag correlations involve tag-level smoothness [30,32] (i.e., the prediction scores of two semantically similar tags should be similar in the same image), image-level smoothness [13,30,32,20] (i.e., visually similar images have similar tags), low rank assumption [2] (i.e., the whole tag space is spanned by a lower-dimensional space), and semantic hierarchy [30,25] (i.e. parent tags in a hierarchy are as probable as their children).…”