It means that we align happiness under the taxonomy of YAO (2014) to both joy and positive under the taxonomy of HUANG (2015) together with the alignment constraint defined below.
the cost vector C H changes to: the objective function becomes to: Subject to: where formula 14and 15unify the number of possible labels on both taxonomies to one because we don't consider any intra-corpus constraints which are derived from the annotation guideline of YAO (2014) when extra-corpus is solely applied.