Artigo 1 - Improving Hyper-Relational Knowledge Graph Completion Hyper-relational KGs (HKGs) go beyond conventional KGs by representing facts with more complex semantic information, e.g., using relation-entity pairs as the qualifiers of triplets. The combination of a triplet and its qualifiers together is called a statement. In a hyper-relational KG G H , we denote the set of entities and relations as V and R respectively. The total number of entities is N and the number of relations is M. The edge connecting them, which we call a statement (or fact), is expressed in the domain V × R × V × P ( R × V ) where P denotes the power set. It’s usually written as (mh,mr,mt, Q) where (mh,mr,mt) is the main triplet of the statement containing head entity mh ∈ V , relation mr ∈ R and tail entity mt ∈ V respectively. Q is the set of qualifiers consisting n relation-entity pairs {(qri, qei)} n i=1 where qri ∈ R and qei ∈ V . (mh,mr,mt, {(qri, qei)} ) Artigo 2 - Beyond Triplets: Hyper-