Characterizing the hypergraph-of-entity and the structural impact of its extensions

Applied Network Science

Table 8 Spearman’s \(\rho\) between evaluation metrics and structural features

		Nodes	Hyperedges	Degree	Cl. coef.	Avg. path len.	Diam.	Density
\(\ell = 1\)	MAP	− 0.6504	0.0559	0.0559	− 0.5245	0.0979	0.1000	0.5009
	NDCG@10	− 0.6504	− 0.0350	− 0.0350	− 0.3636	− 0.1119	0.2000	0.4308
	P@10	− 0.6527	0.1018	0.1018	− 0.4667	− 0.0982	0.3047	0.5800
\(\ell = 2\)	MAP	− 0.6516	0.4098	0.4098	− 0.5464	0.2172	0.1449	0.8035
	NDCG@10	− 0.5913	0.0699	0.0699	− 0.5804	0.2797	0.1036	0.4448
	P@10	− 0.6242	0.0035	0.0035	− 0.5519	0.2882	0.0593	0.4049
\(\ell = 3\)	MAP	− 0.6504	0.4615	0.4615	− 0.4685	0.0699	0.1965	0.8932
	NDCG@10	− 0.5322	− 0.0280	− 0.0280	− 0.5524	0.3357	0.2000	0.3573
	P@10	− 0.6242	− 0.0211	− 0.0211	− 0.6151	0.2707	0.1993	0.3873