From Node Interaction to Hop Interaction: New Effective and Scalable Graph Learning Paradigm

Jie Chen, Zilong Li, Ying Zhu, Junping Zhang, Jian Pu

Main figure for From Node Interaction to Hop Interaction: New Effective and Scalable Graph Learning Paradigm

Abstract

Existing Graph Neural Networks (GNNs) follow the message-passing mechanism that conducts information interaction among nodes iteratively. While considerable progress has been made, such node interaction paradigms still have the following limitation. First, the scalability limitation precludes the broad application of GNNs in large-scale industrial settings since the node interaction among rapidly expanding neighbors incurs high computation and memory costs. Second, the over-smoothing problem restricts the discrimination ability of nodes, i.e., node representations of different classes will converge to indistinguishable after repeated node interactions. In this work, we propose a novel hop interaction paradigm to address these limitations simultaneously. The core idea is to convert the interaction target among nodes to pre-processed multi-hop features inside each node. We design a simple yet effective HopGNN framework that can easily utilize existing GNNs to achieve hop interaction. Furthermore, we propose a multi-task learning strategy with a self-supervised learning objective to enhance HopGNN. We conduct extensive experiments on 12 benchmark datasets in a wide range of domains, scales, and smoothness of graphs. Experimental results show that our methods achieve superior performance while maintaining high scalability and efficiency. The code is at.

Benchmark Results

Tested on 9 datasets 35 baseline values reported too low

Tables show presented results in global context (best 3 papers + GCN + MLP).

Classic

#ModelAccuracy ↑Paper
1
GraphSAGE+CNA
0.9418 ±0.0033
2
GCN+CNA
0.9366 ±0.0048
3
TransformerConv
0.9350 ±0.0058
21
GCN
actual #21 vs paper #149 128 places worse
0.9004
best reported
actual #21 vs paper #149 128 places worse
paper 0.8690 ±0.0104
paper 0.8690 ±0.0104 Δ at pub 0.0027 Δ today 0.0314
25
ACM-GCN
actual #25 vs paper #104 79 places worse
0.8975 ±0.0116
best reported
actual #25 vs paper #104 79 places worse
paper 0.8791 ±0.0095

Difference within reported uncertainty; not counted as underperformance.

paper 0.8791 ±0.0095 Δ today 0.0184
39
SAGE
0.8911 ±0.0012
44
GAT
actual #44 vs paper #129 85 places worse
0.8897 ±0.0014
best reported
actual #44 vs paper #129 85 places worse
paper 0.8730 ±0.0110

Difference within reported uncertainty; not counted as underperformance.

paper 0.8730 ±0.0110 Δ at pub 0.0160 Δ today 0.0167
45
GCNII
actual #45 vs paper #71 26 places worse
0.8893 ±0.0137
best reported
actual #45 vs paper #71 26 places worse
paper 0.8837 ±0.0125
best at pub: Orthogonal Graph Neural Networks (AAAI 2021)

Difference within reported uncertainty; not counted as underperformance.

paper 0.8837 ±0.0125 Δ at pub 0.0012 Δ today 0.0056
50
FAGCN
actual #50 vs paper #401 351 places worse
0.8885 ±0.0136
best reported
actual #50 vs paper #401 351 places worse
paper 0.8321 ±0.0204
70
DAGNN
actual #70 vs paper #154 84 places worse
0.8840
best reported
actual #70 vs paper #154 84 places worse
paper 0.8682 ±0.0167

Difference within reported uncertainty; not counted as underperformance.

paper 0.8682 ±0.0167 Δ at pub 0.0158
77
GPRGNN
actual #77 vs paper #147 70 places worse
0.8698 ±0.0133
actual #77 vs paper #147 70 places worse
paper 0.8698 ±0.0133
paper 0.8698 ±0.0133 Δ at pub 0.0747
82
WRGAT
actual #82 vs paper #102 20 places worse
0.8820 ±0.0226
best reported
actual #82 vs paper #102 20 places worse
paper 0.8795 ±0.0118

Difference within reported uncertainty; not counted as underperformance.

paper 0.8795 ±0.0118 Δ today 0.0025
103
GGCN
0.8795 ±0.0105
This paper
108
APPNP
actual #108 vs paper #112 4 places worse
0.8787
best reported
actual #108 vs paper #112 4 places worse
paper 0.8771 ±0.0134
best at pub: Orthogonal Graph Neural Networks (AAAI 2021)

Difference within reported uncertainty; not counted as underperformance.

paper 0.8771 ±0.0134 Δ at pub 0.0016 Δ today 0.0016
111
H2GCN-2
0.8781 ±0.0135
This paper
112
S2GC
actual #112 vs paper #112
0.8773 ±0.0290
actual #112 vs paper #112
paper 0.8773 ±0.0290
prev best: Contrastive Laplacian Eigenmaps (NeurIPS 2022)
paper 0.8773 ±0.0290 Δ at pub 0.0643
113
MixHop
actual #113 vs paper #113
0.8761 ±0.0085
actual #113 vs paper #113
paper 0.8761 ±0.0085
paper 0.8761 ±0.0085 Δ at pub 0.0571
119
HopGNN
0.8757 ±0.0133
This paper
131
HopGNN+SCL
0.8728 ±0.0171
This paper
141
GraphSAGE
actual #141 vs paper #149 8 places worse
0.8690 ±0.0104
actual #141 vs paper #149 8 places worse
paper 0.8690 ±0.0104
paper 0.8690 ±0.0104 Δ at pub 0.0280
149
H2GCN-1
0.8692 ±0.0137
This paper
159
GCN + JK
0.8679 ±0.0092
This paper
160
GCN-Cheby
actual #160 vs paper #160
0.8676 ±0.0095
actual #160 vs paper #160
paper 0.8676 ±0.0095
paper 0.8676 ±0.0095 Δ at pub 0.1537
161
SIGN
actual #161 vs paper #161
0.8672 ±0.0137
actual #161 vs paper #161
paper 0.8672 ±0.0137
paper 0.8672 ±0.0137 Δ at pub 0.0462
215
GEOM
0.8527
This paper
724
MLP
actual #724 vs paper #777 53 places worse
0.7475 ±0.0222
actual #724 vs paper #777 53 places worse
paper 0.7475 ±0.0222

Improvement within reported uncertainty; not highlighted.

paper 0.7475 ±0.0222 Δ at pub 0.0061
#ModelF1 ↑Paper
1
EnGCN
0.9714 ±0.0003
2
SAGN+SLE
0.9710
3
GAMLP(JK)
0.9704 ±0.0001
4
GraphSAINT
actual #4 vs paper #13 9 places worse
0.9700
best reported
actual #4 vs paper #13 9 places worse
paper 0.9660 ±0.0010
5
HopGNN
0.9698 ±0.0004
This paper
8
SIGN
0.9680
This paper
14
GraphSAGE
actual #14 vs paper #57 43 places worse
0.9660
best reported
actual #14 vs paper #57 43 places worse
paper 0.9530 ±0.0010
paper 0.9530 ±0.0010 Δ at pub 0.0130
23
AS-GCN
actual #23 vs paper #23
0.9640 ±0.0010
actual #23 vs paper #23
paper 0.9640 ±0.0010
paper 0.9640 ±0.0010 Δ at pub 0.0060
48
ClusterGCN
actual #48 vs paper #52 4 places worse
0.9570
best reported
actual #48 vs paper #52 4 places worse
paper 0.9540 ±0.0010
paper 0.9540 ±0.0010 Δ at pub 0.0030
58
GCN
actual #58 vs paper #101 43 places worse
0.9530 ±0.0010
best reported
actual #58 vs paper #101 43 places worse
paper 0.9330
paper 0.9330 Δ at pub 0.0200
73
SGC
0.9490
This paper
83
S2GC
0.9404 ±0.0003
This paper
91
FastGCN
actual #91 vs paper #111 20 places worse
0.9370
best reported
actual #91 vs paper #111 20 places worse
paper 0.9240 ±0.0010

OGB

#ModelAccuracy ↑Paper
1
Jacobi
0.8968
2
GPR
0.8953
3
LEMP4HG
0.8939
4
SAGE
0.8933
6
GCN
actual #6 vs paper #250 244 places worse
0.8868
best reported
actual #6 vs paper #250 244 places worse
paper 0.7564 ±0.0021
64
GraphSAINT
actual #64 vs paper #184 120 places worse
0.8383 ±0.0014
best reported
actual #64 vs paper #184 120 places worse
paper 0.7908 ±0.0024
paper 0.7908 ±0.0024 Δ at pub 0.0475
77
SIGN
actual #77 vs paper #225 148 places worse
0.8310 ±0.0080
best reported
actual #77 vs paper #225 148 places worse
paper 0.7760 ±0.0013
paper 0.7760 ±0.0013 Δ at pub 0.0550
83
GraphSAGE
actual #83 vs paper #215 132 places worse
0.8287
best reported
actual #83 vs paper #215 132 places worse
paper 0.7829 ±0.0016
94
SGC
actual #94 vs paper #275 181 places worse
0.8220 ±0.0090
best reported
actual #94 vs paper #275 181 places worse
paper 0.7487 ±0.0025
paper 0.7487 ±0.0025 Δ at pub 0.0733
143
HopGNN
0.8008 ±0.0008
This paper
190
ClusterGCN
0.7897 ±0.0033
This paper
232
S2GC
0.7684 ±0.0020
This paper
308
FastGCN
0.7346 ±0.0020
This paper
351
MLP
0.6605 ±0.0020

Heterophilic Graphs

#ModelAccuracy ↑Paper
1
P^2GNN
0.9672 ±0.0147
2
DoG
0.9660 ±0.0210
3
GPF-plus
0.9583 ±0.0419
5
ACM-GCN
actual #5 vs paper #91 86 places worse
0.8784 ±0.0440
actual #5 vs paper #91 86 places worse
paper 0.8784 ±0.0440

Improvement within reported uncertainty; not highlighted.

paper 0.8784 ±0.0440 Δ at pub 0.0564 Δ today 0.0773
28
GPRGNN
actual #28 vs paper #205 177 places worse
0.9295 ±0.0131
best reported
actual #28 vs paper #205 177 places worse
paper 0.8212 ±0.0772

Difference within reported uncertainty; not counted as underperformance.

paper 0.8212 ±0.0772 Δ at pub 0.0248 Δ today 0.1083
34
MLP
actual #34 vs paper #207 173 places worse
0.9230 ±0.0070
best reported
actual #34 vs paper #207 173 places worse
paper 0.8189 ±0.0478
39
GGCN
actual #39 vs paper #148 109 places worse
0.9213 ±0.0305
best reported
actual #39 vs paper #148 109 places worse
paper 0.8486 ±0.0455
best today: Graph Wave Networks (WWW 2025)
paper 0.8486 ±0.0455 Δ today 0.0727
46
APPNP
actual #46 vs paper #272 226 places worse
0.9131 ±0.0197
best reported
actual #46 vs paper #272 226 places worse
paper 0.7837 ±0.0601
paper 0.7837 ±0.0601 Δ at pub 0.1227 Δ today 0.1294
53
GraphSAGE
actual #53 vs paper #193 140 places worse
0.9000 ±0.0365
best reported
actual #53 vs paper #193 140 places worse
paper 0.8243 ±0.0614

Difference within reported uncertainty; not counted as underperformance.

paper 0.8243 ±0.0614 Δ today 0.0757
61
FAGCN
actual #61 vs paper #273 212 places worse
0.8961 ±0.0152
best reported
actual #61 vs paper #273 212 places worse
paper 0.7811 ±0.0501
paper 0.7811 ±0.0501 Δ at pub 0.0432 Δ today 0.1150
70
GCNII
actual #70 vs paper #280 210 places worse
0.8918 ±0.0443
best reported
actual #70 vs paper #280 210 places worse
paper 0.7757 ±0.0383
paper 0.7757 ±0.0383 Δ at pub 0.0289 Δ today 0.1161
72
HopGNN
actual #72 vs paper #185 113 places worse
0.8915 ±0.0404
best reported
actual #72 vs paper #185 113 places worse
paper 0.8297 ±0.0512

Difference within reported uncertainty; not counted as underperformance.

paper 0.8297 ±0.0512 Δ today 0.0618
104
WRGAT
actual #104 vs paper #173 69 places worse
0.8362 ±0.0550
actual #104 vs paper #173 69 places worse
paper 0.8362 ±0.0550

Improvement within reported uncertainty; not highlighted.

paper 0.8362 ±0.0550 Δ at pub 0.0312
150
H2GCN-1
0.8486 ±0.0677
This paper
189
SAGE
0.8269
203
H2GCN-2
0.8216 ±0.0528
This paper
210
HopGNN+SCL
0.8165 ±0.0747
This paper
211
GAT
actual #211 vs paper #576 365 places worse
0.8162 ±0.0645
best reported
actual #211 vs paper #576 365 places worse
paper 0.5214 ±0.0516
paper 0.5214 ±0.0516 Δ at pub 0.2766 Δ today 0.2948
235
GCN + JK
actual #235 vs paper #428 193 places worse
0.8066 ±0.0191
best reported
actual #235 vs paper #428 193 places worse
paper 0.6649 ±0.0664
paper 0.6649 ±0.0664 Δ today 0.1417
257
GCN
actual #257 vs paper #568 311 places worse
0.7933 ±0.0447
best reported
actual #257 vs paper #568 311 places worse
paper 0.5514 ±0.0516
best today: Graph Wave Networks (WWW 2025)
paper 0.5514 ±0.0516 Δ at pub 0.2326 Δ today 0.2419
276
MixHop
0.7784 ±0.0773
This paper
285
GCN-Cheby
0.7730 ±0.0407
This paper
319
SIGN
0.7514 ±0.0794
This paper
386
DAGNN
actual #386 vs paper #386
0.7027 ±0.0493
actual #386 vs paper #386
paper 0.7027 ±0.0493
paper 0.7027 ±0.0493 Δ at pub 0.1092
407
S2GC
0.6865 ±0.0805
This paper
417
GEOM
0.6757
This paper
#ModelAccuracy ↑Paper
1
P^2GNN
0.9541 ±0.0272
2
ACM-GCN
actual #2 vs paper #87 85 places worse
0.8514 ±0.0607
actual #2 vs paper #87 85 places worse
paper 0.8514 ±0.0607
best today: Heterophily-informed Message Passing (TMLR 2025)

Improvement within reported uncertainty; not highlighted.

paper 0.8514 ±0.0607 Δ at pub 0.0304 Δ today 0.0966
3
RF-GCN
0.9429
15
GGCN
actual #15 vs paper #79 64 places worse
0.9230 ±0.0367
best reported
actual #15 vs paper #79 64 places worse
paper 0.8568 ±0.0663

Difference within reported uncertainty; not counted as underperformance.

paper 0.8568 ±0.0663 Δ today 0.0662
21
APPNP
actual #21 vs paper #216 195 places worse
0.9181 ±0.0196
best reported
actual #21 vs paper #216 195 places worse
paper 0.7702 ±0.0701
paper 0.7702 ±0.0701 Δ at pub 0.1450 Δ today 0.1479
22
GPRGNN
actual #22 vs paper #166 144 places worse
0.9157 ±0.0196
best reported
actual #22 vs paper #166 144 places worse
paper 0.8108 ±0.0659
paper 0.8108 ±0.0659 Δ at pub 0.0270 Δ today 0.1049
24
MLP
actual #24 vs paper #166 142 places worse
0.9136 ±0.0070
best reported
actual #24 vs paper #166 142 places worse
paper 0.8108 ±0.0637
paper 0.8108 ±0.0637 Δ at pub 0.0378 Δ today 0.1028
35
GCNII
actual #35 vs paper #203 168 places worse
0.8918 ±0.0396
best reported
actual #35 vs paper #203 168 places worse
paper 0.7786 ±0.0379
paper 0.7786 ±0.0379 Δ at pub 0.0640 Δ today 0.1132
38
FAGCN
actual #38 vs paper #222 184 places worse
0.8852 ±0.0133
best reported
actual #38 vs paper #222 184 places worse
paper 0.7612 ±0.0765
paper 0.7612 ±0.0765 Δ at pub 0.0496 Δ today 0.1240
104
HopGNN+SCL
0.8432 ±0.0671
This paper
113
HopGNN
0.8405 ±0.0448
This paper
138
SAGE
0.8269
153
H2GCN-1
0.8216 ±0.0480
This paper
154
H2GCN-2
0.8216 ±0.0600
This paper
157
GraphSAGE
actual #157 vs paper #222 65 places worse
0.8196 ±0.0739
best reported
actual #157 vs paper #222 65 places worse
paper 0.7595 ±0.0501
best at pub: Graph-Coupled Oscillator Networks (ICML 2022)

Difference within reported uncertainty; not counted as underperformance.

paper 0.7595 ±0.0501 Δ at pub 0.0005 Δ today 0.0601
158
GAT
actual #158 vs paper #358 200 places worse
0.8190 ±0.0540
best reported
actual #158 vs paper #358 200 places worse
paper 0.6189 ±0.0505
paper 0.6189 ±0.0505 Δ at pub 0.2001
160
WRGAT
0.8162 ±0.0390
This paper
170
GCN
actual #170 vs paper #372 202 places worse
0.8082 ±0.0360
best reported
actual #170 vs paper #372 202 places worse
paper 0.6054 ±0.0530
paper 0.6054 ±0.0530 Δ at pub 0.1866 Δ today 0.2028
183
MixHop
actual #183 vs paper #249 66 places worse
0.7950 ±0.0630
best reported
actual #183 vs paper #249 66 places worse
paper 0.7351 ±0.0634

Difference within reported uncertainty; not counted as underperformance.

paper 0.7351 ±0.0634 Δ at pub 0.0599
198
SIGN
0.7811 ±0.0467
This paper
229
S2GC
0.7525 ±0.0782
This paper
243
GCN-Cheby
0.7432 ±0.0746
This paper
250
DAGNN
actual #250 vs paper #250
0.7351 ±0.0718
actual #250 vs paper #250
paper 0.7351 ±0.0718
paper 0.7351 ±0.0718 Δ at pub 0.1362
316
GCN + JK
actual #316 vs paper #336 20 places worse
0.6656 ±0.1382
best reported
actual #316 vs paper #336 20 places worse
paper 0.6459 ±0.0868

Difference within reported uncertainty; not counted as underperformance.

paper 0.6459 ±0.0868 Δ today 0.0197
371
GEOM
0.6081
This paper
#ModelAccuracy ↑Paper
1
DiGGR
0.4535 ±0.0353
2
TRIGON
0.4402 ±0.0028
3
DoG
0.4320 ±0.0120
16
ACM-GCN
actual #16 vs paper #173 157 places worse
0.4198 ±0.0089
best reported
actual #16 vs paper #173 157 places worse
paper 0.3628 ±0.0109
paper 0.3628 ±0.0109 Δ at pub 0.0032 Δ today 0.0570
33
SIGN
actual #33 vs paper #179 146 places worse
0.4122 ±0.0096
best reported
actual #33 vs paper #179 146 places worse
paper 0.3614 ±0.0101
paper 0.3614 ±0.0101 Δ today 0.0508
38
GCNII
actual #38 vs paper #114 76 places worse
0.4082 ±0.0179
best reported
actual #38 vs paper #114 76 places worse
paper 0.3744 ±0.0130
paper 0.3744 ±0.0130 Δ today 0.0338
41
APPNP
actual #41 vs paper #246 205 places worse
0.4046 ±0.0064
best reported
actual #41 vs paper #246 205 places worse
paper 0.3464 ±0.0151
paper 0.3464 ±0.0151 Δ at pub 0.0512 Δ today 0.0582
42
MLP
actual #42 vs paper #195 153 places worse
0.4026 ±0.0108
best reported
actual #42 vs paper #195 153 places worse
paper 0.3576 ±0.0098
paper 0.3576 ±0.0098 Δ at pub 0.0442 Δ today 0.0450
52
GPRGNN
actual #52 vs paper #284 232 places worse
0.3992 ±0.0067
best reported
actual #52 vs paper #284 232 places worse
paper 0.3329 ±0.0139
paper 0.3329 ±0.0139 Δ at pub 0.0598 Δ today 0.0663
56
FAGCN
actual #56 vs paper #215 159 places worse
0.3970
best reported
actual #56 vs paper #215 159 places worse
paper 0.3541 ±0.0118
paper 0.3541 ±0.0118 Δ at pub 0.0429
61
HopGNN
actual #61 vs paper #130 69 places worse
0.3933 ±0.0279
best reported
actual #61 vs paper #130 69 places worse
paper 0.3709 ±0.0097

Difference within reported uncertainty; not counted as underperformance.

paper 0.3709 ±0.0097 Δ today 0.0224
62
GGCN
actual #62 vs paper #113 51 places worse
0.3929 ±0.0048
best reported
actual #62 vs paper #113 51 places worse
paper 0.3754 ±0.0156

Difference within reported uncertainty; not counted as underperformance.

paper 0.3754 ±0.0156 Δ today 0.0175
68
GraphSAGE
actual #68 vs paper #258 190 places worse
0.3899 ±0.0085
best reported
actual #68 vs paper #258 190 places worse
paper 0.3423 ±0.0099
paper 0.3423 ±0.0099 Δ at pub 0.0432 Δ today 0.0476
75
WRGAT
actual #75 vs paper #158 83 places worse
0.3860 ±0.0110
best reported
actual #75 vs paper #158 83 places worse
paper 0.3653 ±0.0077
paper 0.3653 ±0.0077 Δ at pub 0.0207
135
GCN
actual #135 vs paper #408 273 places worse
0.3690
best reported
actual #135 vs paper #408 273 places worse
paper 0.2732 ±0.0110
paper 0.2732 ±0.0110 Δ at pub 0.0958
146
HopGNN+SCL
0.3672 ±0.0105
This paper
162
MixHop
actual #162 vs paper #297 135 places worse
0.3648 ±0.0120
best reported
actual #162 vs paper #297 135 places worse
paper 0.3222 ±0.0234
best at pub: Deformable Graph Transformer (2022)
paper 0.3222 ±0.0234 Δ at pub 0.0357 Δ today 0.0426
182
GAT
actual #182 vs paper #406 224 places worse
0.3605 ±0.0035
best reported
actual #182 vs paper #406 224 places worse
paper 0.2744 ±0.0089
paper 0.2744 ±0.0089 Δ at pub 0.0861
190
H2GCN-1
actual #190 vs paper #192 2 places worse
0.3594 ±0.0130
best reported
actual #190 vs paper #192 2 places worse
paper 0.3586 ±0.0103

Difference within reported uncertainty; not counted as underperformance.

paper 0.3586 ±0.0103 Δ today 0.0008
204
H2GCN-2
0.3562 ±0.0130
This paper
211
DAGNN
actual #211 vs paper #211
0.3551 ±0.0110
actual #211 vs paper #211
paper 0.3551 ±0.0110
paper 0.3551 ±0.0110 Δ at pub 0.0183
260
GCN + JK
0.3418 ±0.0085
This paper
262
S2GC
0.3417 ±0.0092
This paper
265
GCN-Cheby
0.3411 ±0.0109
This paper
266
GIN
0.3410 ±0.0030
307
GEOM
0.3163
This paper
#ModelAccuracy ↑Paper
1
Hetero-S (GAT 8-layer)
0.8693
2
Dir-GNN+CNA
0.8586 ±0.0180
3
GAT
actual #3 vs paper #134 131 places worse
0.8560
best reported
actual #3 vs paper #134 131 places worse
paper 0.6026 ±0.0250
28
ACM-GCN
actual #28 vs paper #76 48 places worse
0.7476 ±0.0220
best reported
actual #28 vs paper #76 48 places worse
paper 0.6693 ±0.0185
paper 0.6693 ±0.0185 Δ today 0.0783
47
HopGNN
0.7121 ±0.0145
This paper
48
GGCN
0.7114 ±0.0184
This paper
51
HopGNN+SCL
0.7045 ±0.0103
This paper
52
GCN
actual #52 vs paper #95 43 places worse
0.7033
best reported
actual #52 vs paper #95 43 places worse
paper 0.6482 ±0.0224
paper 0.6482 ±0.0224 Δ at pub 0.0278 Δ today 0.0551
72
GPRGNN
actual #72 vs paper #118 46 places worse
0.6748 ±0.0040
best reported
actual #72 vs paper #118 46 places worse
paper 0.6182 ±0.0239
paper 0.6182 ±0.0239 Δ at pub 0.0465 Δ today 0.0566
79
APPNP
actual #79 vs paper #212 133 places worse
0.6670 ±0.0270
best reported
actual #79 vs paper #212 133 places worse
paper 0.4750 ±0.0176
paper 0.4750 ±0.0176 Δ at pub 0.1920
91
WRGAT
0.6524 ±0.0087
This paper
96
GCN + JK
actual #96 vs paper #107 11 places worse
0.6468 ±0.0285
best reported
actual #96 vs paper #107 11 places worse
paper 0.6342 ±0.0200

Difference within reported uncertainty; not counted as underperformance.

paper 0.6342 ±0.0200 Δ today 0.0126
103
GCNII
0.6386 ±0.0304
This paper
107
FAGCN
actual #107 vs paper #157 50 places worse
0.6344 ±0.0205
best reported
actual #107 vs paper #157 50 places worse
paper 0.5631 ±0.0322
paper 0.5631 ±0.0322 Δ at pub 0.0539 Δ today 0.0713
108
SAGE
0.6340 ±0.0300
115
GraphSAGE
actual #115 vs paper #143 28 places worse
0.6215 ±0.0042
best reported
actual #115 vs paper #143 28 places worse
paper 0.5873 ±0.0168
paper 0.5873 ±0.0168 Δ at pub 0.0342
125
GEOM
0.6090
This paper
129
MixHop
0.6050 ±0.0253
This paper
130
SIGN
0.6048 ±0.0210
This paper
139
H2GCN-2
0.5939 ±0.0198
This paper
145
S2GC
0.5855 ±0.0515
This paper
156
H2GCN-1
0.5711 ±0.0158
This paper
164
GCN-Cheby
0.5524 ±0.0276
This paper
169
MLP
actual #169 vs paper #216 47 places worse
0.5429
best reported
actual #169 vs paper #216 47 places worse
paper 0.4636 ±0.0252
paper 0.4636 ±0.0252 Δ at pub 0.0184 Δ today 0.0793
223
DAGNN
0.4592 ±0.0230
This paper
#ModelAccuracy ↑Paper
1
IBG-NN
0.7763 ±0.0179
2
Dir-GNN+CNA
0.7747 ±0.0128
3
DHGNN
0.7684 ±0.0161
25
ACM-GCN
actual #25 vs paper #75 50 places worse
0.6740 ±0.0221
best reported
actual #25 vs paper #75 50 places worse
paper 0.5440 ±0.0188
paper 0.5440 ±0.0188 Δ today 0.1300
33
HopGNN
0.6423 ±0.0133
This paper
43
HopGNN+SCL
0.6142 ±0.0198
This paper
46
GCN
actual #46 vs paper #77 31 places worse
0.6067
best reported
actual #46 vs paper #77 31 places worse
paper 0.5343 ±0.0201
paper 0.5343 ±0.0201 Δ at pub 0.0227 Δ today 0.0724
67
GAT
actual #67 vs paper #157 90 places worse
0.5630 ±0.0220
best reported
actual #67 vs paper #157 90 places worse
paper 0.4072 ±0.0155
paper 0.4072 ±0.0155 Δ at pub 0.1558
68
APPNP
actual #68 vs paper #229 161 places worse
0.5590 ±0.0290
best reported
actual #68 vs paper #229 161 places worse
paper 0.3351 ±0.0202
paper 0.3351 ±0.0202 Δ at pub 0.2239
69
GGCN
actual #69 vs paper #71 2 places worse
0.5567 ±0.0187
best reported
actual #69 vs paper #71 2 places worse
paper 0.5517 ±0.0158

Difference within reported uncertainty; not counted as underperformance.

paper 0.5517 ±0.0158 Δ today 0.0050
76
GPRGNN
actual #76 vs paper #130 54 places worse
0.5435 ±0.0087
best reported
actual #76 vs paper #130 54 places worse
paper 0.4329 ±0.0166
paper 0.4329 ±0.0166 Δ at pub 0.0574 Δ today 0.1106
78
GCN + JK
actual #78 vs paper #160 82 places worse
0.5340 ±0.0190
best reported
actual #78 vs paper #160 82 places worse
paper 0.4045 ±0.0161
paper 0.4045 ±0.0161 Δ today 0.1295
96
WRGAT
0.4885 ±0.0078
This paper
112
SIGN
actual #112 vs paper #162 50 places worse
0.4559 ±0.0140
best reported
actual #112 vs paper #162 50 places worse
paper 0.4016 ±0.0212
paper 0.4016 ±0.0212 Δ today 0.0543
120
SAGE
0.4460 ±0.0130
126
GCN-Cheby
0.4386 ±0.0164
This paper
127
MixHop
0.4380 ±0.0148
This paper
128
GraphSAGE
actual #128 vs paper #150 22 places worse
0.4378 ±0.0190
best reported
actual #128 vs paper #150 22 places worse
paper 0.4161 ±0.0074

Difference within reported uncertainty; not counted as underperformance.

paper 0.4161 ±0.0074 Δ today 0.0217
139
FAGCN
actual #139 vs paper #141 2 places worse
0.4259 ±0.0069
best reported
actual #139 vs paper #141 2 places worse
paper 0.4243 ±0.0211

Difference within reported uncertainty; not counted as underperformance.

paper 0.4243 ±0.0211 Δ at pub 0.0016 Δ today 0.0016
150
S2GC
0.4163 ±0.0098
This paper
172
MLP
actual #172 vs paper #241 69 places worse
0.3930 ±0.0079
best reported
actual #172 vs paper #241 69 places worse
paper 0.2968 ±0.0181
paper 0.2968 ±0.0181 Δ at pub 0.0367 Δ today 0.0962
176
GCNII
actual #176 vs paper #178 2 places worse
0.3881 ±0.0197
best reported
actual #176 vs paper #178 2 places worse
paper 0.3847 ±0.0158

Difference within reported uncertainty; not counted as underperformance.

paper 0.3847 ±0.0158 Δ today 0.0034
182
GEOM
0.3814
This paper
186
H2GCN-2
0.3790 ±0.0202
This paper
203
H2GCN-1
0.3642 ±0.0189
This paper
223
DAGNN
actual #223 vs paper #240 17 places worse
0.3472 ±0.0255
best reported
actual #223 vs paper #240 17 places worse
paper 0.3029 ±0.0223
#ModelAccuracy ↑Paper
1
DMD++
0.9190 ±0.0260
2
F-GREAD-BS
0.9059 ±0.0380
3
APPNP
actual #3 vs paper #65 62 places worse
0.9010 ±0.0350
best reported
actual #3 vs paper #65 62 places worse
paper 0.8142 ±0.0434
paper 0.8142 ±0.0434 Δ at pub 0.0288 Δ today 0.0868
5
GPRGNN
actual #5 vs paper #70 65 places worse
0.8990 ±0.0300
best reported
actual #5 vs paper #70 65 places worse
paper 0.8116 ±0.0317
paper 0.8116 ±0.0317 Δ at pub 0.0434 Δ today 0.0874
15
ACM-GCN
0.8843 ±0.0322
This paper
29
WRGAT
0.8698 ±0.0378
This paper
32
GGCN
0.8686 ±0.0329
This paper
35
H2GCN-1
0.8667 ±0.0469
This paper
37
MLP
actual #37 vs paper #42 5 places worse
0.8629 ±0.0450
best reported
actual #37 vs paper #42 5 places worse
paper 0.8529 ±0.0361

Difference within reported uncertainty; not counted as underperformance.

paper 0.8529 ±0.0361 Δ at pub 0.0100
39
H2GCN-2
0.8588 ±0.0422
This paper
40
HopGNN
0.8569 ±0.0543
This paper
51
HopGNN+SCL
0.8437 ±0.0491
This paper
53
GAT
actual #53 vs paper #213 160 places worse
0.8430 ±0.0370
best reported
actual #53 vs paper #213 160 places worse
paper 0.4941 ±0.0409
paper 0.4941 ±0.0409 Δ at pub 0.3489
60
FAGCN
actual #60 vs paper #65 5 places worse
0.8333
best reported
actual #60 vs paper #65 5 places worse
paper 0.8156 ±0.0464

Difference within reported uncertainty; not counted as underperformance.

paper 0.8156 ±0.0464 Δ today 0.0177
63
GCN
actual #63 vs paper #205 142 places worse
0.8310 ±0.0320
best reported
actual #63 vs paper #205 142 places worse
paper 0.5176 ±0.0306
paper 0.5176 ±0.0306 Δ at pub 0.3134
69
GraphSAGE
0.8118 ±0.0556
This paper
73
SIGN
0.8059 ±0.0375
This paper
75
GCNII
actual #75 vs paper #75
0.8039 ±0.0340
actual #75 vs paper #75
paper 0.8039 ±0.0340

Improvement within reported uncertainty; not highlighted.

paper 0.8039 ±0.0340 Δ at pub 0.0157
76
MixHop
actual #76 vs paper #96 20 places worse
0.8039
best reported
actual #76 vs paper #96 20 places worse
paper 0.7588 ±0.0490

Difference within reported uncertainty; not counted as underperformance.

paper 0.7588 ±0.0490 Δ today 0.0451
81
GCN-Cheby
0.7941 ±0.0446
This paper
86
GIN
0.7900 ±0.0060
111
GCN + JK
0.7431 ±0.0643
This paper
119
DAGNN
0.7176 ±0.0525
This paper
120
S2GC
0.7157 ±0.0901
This paper
151
GEOM
0.6412
This paper
SOTA performance (not significantly different from the best) Proposed method (this paper) Baseline / comparison (this paper) Global context (other papers) Best at pub — reported result worse than the best known when published (best reported in green) Best at pub — reported value improved over the best known when published Best today — OK at publication; today's leaderboard best is elsewhere