At each time step t, the object goes down one level on the hierarchy and the labels under the same parent are discriminated locally.
the local per-parent label probabil- where σ denotes the sigmoid function, and C t ∈ R |C(lt)|×C denotes the candidate embeddings of HiLAP-SL, i.e., an embedding matrix consisting of the children of current label l t , rather than all the labels where x i has been placed.