Table 6: Performance on hyperedge prediction: AUC and Average Precision  $(\%)$  ± standard deviation. Boldfaced letters shaded blue indicate the best result, while gray shaded boxes indicate results within one standard deviation of the best result. N/A: the method has computational issues.
Datasets	NDC Class	High School	Primary School	Congress Bill	Email Enron
Metric	AUC	AP	AUC	AP	AUC	AP	AUC	AP	AUC	AP
Strongly Inductive
Inductive	CE-GCN	52.31 ± 2.99	54.33 ± 2.48	60.54 ± 2.06	59.92 ± 2.25	52.34 ± 2.75	56.41 ± 2.06	49.18 ± 3.61	53.85 ± 3.92	63.04 ± 1.80	57.70 ± 2.27
CE-EvolveGCN	49.78 ± 3.13	55.24 ± 3.56	46.12 ± 3.83	52.87 ± 3.48	58.01 ± 2.56	55.68 ± 2.41	54.00 ± 1.84	50.27 ± 1.76	57.31 ± 4.19	54.52 ± 3.79
CE-CAW	76.45 ± 0.29	78.58 ± 1.32	83.73 ± 1.42	82.96 ± 1.04	80.31 ± 1.46	82.84 ± 1.71	75.38 ± 1.25	77.19 ± 1.38	70.81 ± 1.13	72.07 ± 1.52
NHP	70.53 ± 4.95	68.18 ± 4.31	65.29 ± 3.80	62.86 ± 3.74	70.86 ± 3.42	71.31 ± 3.51	69.82 ± 2.19	64.09 ± 2.87	49.71 ± 6.09	50.01 ± 4.87
HyperSAGCN	79.05 ± 2.48	77.24 ± 2.05	88.12 ± 3.01	82.72 ± 2.93	80.13 ± 1.38	76.32 ± 2.96	79.51 ± 1.27	80.58 ± 2.61	73.09 ± 2.60	72.29 ± 3.69
CHESHIRE	72.24 ± 2.63	70.31 ± 2.26	82.54 ± 0.88	80.34 ± 1.19	77.26 ± 1.01	77.72 ± 0.76	79.43 ± 1.58	78.63 ± 1.25	70.03 ± 2.55	72.97 ± 1.81
CAT-WALK	98.89 ± 1.82	98.97 ± 1.69	96.03 ± 1.50	96.41 ± 0.70	95.32 ± 0.89	96.03 ± 0.84	93.54 ± 0.56	93.93 ± 0.36	73.45 ± 2.92	74.66 ± 3.87
Weakly Inductive
Inductive	CE-GCN	51.80 ± 3.29	50.94 ± 3.77	50.33 ± 3.40	48.54 ± 3.92	52.19 ± 2.54	53.21 ± 3.59	52.38 ± 2.75	50.81 ± 2.68	50.81 ± 2.87	55.38 ± 2.79
CE-EvolveGCN	55.39 ± 5.16	57.24 ± 4.98	57.85 ± 3.51	63.26 ± 4.01	51.50 ± 4.07	52.59 ± 4.53	55.63 ± 3.41	5.19 ± 3.56	45.66 ± 2.10	50.93 ± 2.57
CE-CAW	77.61 ± 1.05	80.03 ± 1.65	83.77 ± 1.41	83.41 ± 1.19	82.98 ± 1.06	80.84 ± 1.57	79.51 ± 0.94	80.39 ± 1.07	80.54 ± 1.02	77.41 ± 1.28
NHP	75.17 ± 2.02	77.23 ± 3.11	67.25 ± 5.19	66.73 ± 4.94	71.92 ± 1.83	72.30 ± 1.89	69.58 ± 4.07	72.48 ± 4.83	60.38 ± 4.45	55.62 ± 4.67
HyperSAGCN	79.45 ± 2.18	80.32 ± 2.23	88.53 ± 1.26	87.26 ± 1.49	85.08 ± 1.45	86.84 ± 1.60	80.12 ± 2.00	73.48 ± 2.77	78.86 ± 0.63	79.14 ± 1.51
CHESHIRE	79.03 ± 1.24	78.98 ± 1.17	88.40 ± 1.06	86.53 ± 1.82	83.55 ± 1.27	79.42 ± 2.03	79.67 ± 0.83	80.03 ± 1.38	74.53 ± 0.91	75.88 ± 1.14
CAT-WALK	99.16 ± 1.08	99.33 ± 0.89	94.68 ± 2.37	96.54 ± 0.82	96.53 ± 1.39	96.83 ± 1.16	98.38 ± 0.21	98.48 ± 0.18	64.11 ± 7.96	67.68 ± 6.93
Transductive	HPRA	70.83 ± 0.01	67.40 ± 0.00	94.91 ± 0.00	89.17 ± 0.00	89.86 ± 0.06	88.11 ± 0.02	79.48 ± 0.03	77.16 ± 0.03	78.62 ± 0.00	76.74 ± 0.00
HPLSF	76.19 ± 0.82	77.62 ± 1.42	92.14 ± 0.29	92.79 ± 0.15	88.57 ± 1.09	87.69 ± 1.61	79.31 ± 0.52	75.88 ± 0.43	75.73 ± 0.05	75.32 ± 0.08
CE-GCN	66.83 ± 3.74	65.83 ± 3.61	62.99 ± 3.02	59.76 ± 3.78	59.14 ± 3.87	55.59 ± 3.46	64.42 ± 3.11	63.19 ± 3.34	58.06 ± 3.80	55.27 ± 3.12
HyperSAGCN	67.08 ± 3.51	66.51 ± 3.80	65.19 ± 2.26	59.27 ± 2.19	63.15 ± 1.32	65.18 ± 1.89	69.30 ± 2.27	64.38 ± 2.66	69.98 ± 5.38	67.76 ± 5.16
CE-CAW	76.30 ± 0.84	77.73 ± 1.42	81.63 ± 0.97	79.37 ± 0.53	86.53 ± 0.84	87.03 ± 1.15	76.99 ± 1.02	77.05 ± 1.14	79.57 ± 0.14	78.37 ± 1.15
NHP	82.39 ± 2.81	80.72 ± 2.04	76.85 ± 3.08	75.37 ± 3.12	80.04 ± 3.42	80.24 ± 3.49	80.27 ± 2.53	77.82 ± 1.91	63.17 ± 3.79	66.87 ± 3.19
HyperSAGCN	80.76 ± 2.64	80.50 ± 2.73	94.98 ± 1.30	89.73 ± 1.21	90.77 ± 2.05	88.64 ± 2.09	82.84 ± 1.61	81.12 ± 1.79	83.59 ± 0.98	80.54 ± 1.66
CHESHIRE	84.91 ± 1.05	82.24 ± 1.49	95.11 ± 0.94	94.29 ± 1.23	91.62 ± 1.18	92.72 ± 1.07	86.81 ± 1.24	83.66 ± 1.90	82.27 ± 0.86	81.39 ± 0.81
CAT-WALK	98.72 ± 1.38	98.71 ± 1.36	95.30 ± 0.43	95.90 ± 0.44	97.91 ± 3.30	97.92 ± 2.95	88.15 ± 1.46	88.66 ± 1.57	80.47 ± 5.30	82.87 ± 3.50
Datasets	Email Eu	Question Tags M	Users-Threads	NDC Substances	Question Tags U
Metric	AUC	AP	AUC	AP	AUC	AP	AUC	AP	AUC	AP
Strongly Inductive
Inductive	CE-GCN	52.76 ± 2.41	50.37 ± 2.59	56.10 ± 1.88	54.15 ± 1.94	57.91 ± 1.56	59.45 ± 1.21	55.70 ± 2.91	54.29 ± 2.78	51.97 ± 2.91	55.03 ± 2.72
CE-EvolveGCN	44.16 ± 1.27	49.15 ± 1.23	64.08 ± 2.75	60.64 ± 2.78	52.00 ± 2.32	52.69 ± 2.15	58.17 ± 2.24	57.35 ± 2.13	54.57 ± 2.25	57.16 ± 2.55
CE-CAW	72.90 ± 0.20	73.45 ± 0.68	70.14 ± 1.89	70.26 ± 1.77	73.12 ± 1.06	72.64 ± 1.18	75.87 ± 0.77	73.19 ± 0.86	74.21 ± 2.04	76.52 ± 2.06
HyperSAGCN	65.35 ± 2.07	64.24 ± 1.61	68.23 ± 3.34	69.82 ± 3.41	71.83 ± 2.64	71.09 ± 2.83	70.43 ± 3.64	73.22 ± 3.03	72.52 ± 2.90	71.56 ± 2.26
CHESHIRE	78.01 ± 1.24	80.04 ± 1.87	73.66 ± 1.95	73.98 ± 1.35	73.94 ± 2.57	72.97 ± 2.45	75.85 ± 2.21	73.24 ± 2.75	78.88 ± 2.69	77.53 ± 2.28
CAT-WALK	69.98 ± 2.71	70.10 ± 3.05	N/A	N/A	76.99 ± 2.82	74.03 ± 2.78	76.60 ± 2.19	74.91 ± 2.71	75.04 ± 3.39	75.46 ± 2.90
Weakly Inductive
Inductive	CE-GCN	49.60 ± 3.96	55.01 ± 3.25	55.13 ± 2.76	51.48 ± 2.66	57.06 ± 3.16	58.37 ± 2.86	60.92 ± 2.81	55.93 ± 2.03	56.85 ± 2.73	57.19 ± 2.52
CE-EvolveGCN	52.44 ± 2.38	50.61 ± 2.32	61.79 ± 1.63	59.61 ± 1.12	55.81 ± 2.54	50.63 ± 2.46	58.48 ± 2.49	55.90 ± 2.51	54.10 ± 1.21	56.13 ± 2.32
CE-CAW	73.54 ± 1.19	74.10 ± 1.41	77.29 ± 0.86	77.67 ± 1.94	80.79 ± 0.82	81.88 ± 0.63	77.28 ± 1.30	79.24 ± 1.19	76.51 ± 1.26	77.17 ± 1.39
HyperSAGCN	67.19 ± 4.33	66.53 ± 4.21	70.46 ± 3.52	65.66 ± 3.94	76.44 ± 1.90	75.23 ± 3.96	73.37 ± 3.51	70.62 ± 3.71	78.15 ± 4.41	79.64 ± 4.32
CHESHIRE	77.26 ± 2.09	74.05 ± 2.12	78.15 ± 1.41	76.19 ± 1.53	75.38 ± 1.43	70.35 ± 1.63	80.82 ± 2.18	76.67 ± 2.06	74.22 ± 1.91	70.57 ± 1.02
CAT-WALK	77.31 ± 0.95	76.01 ± 0.98	N/A	N/A	81.27 ± 0.85	82.96 ± 1.41	80.68 ± 1.31	80.78 ± 1.13	77.60 ± 1.57	79.48 ± 1.79