AAAI 2024

Pre-training Graph Neural Networks on Molecules by Using Subgraph-Conditioned Graph Information Bottleneck

Van Thuy Hoang, O-Joun Lee

Main figure for Pre-training Graph Neural Networks on Molecules by Using Subgraph-Conditioned Graph Information Bottleneck

Abstract

This study aims to build a pre-trained Graph Neural Network (GNN) model on molecules without human annotations or prior knowledge. Although various attempts have been proposed to overcome limitations in acquiring labeled molecules, the previous pre-training methods still rely on semantic subgraphs, i.e., functional groups. Only focusing on the functional groups could overlook the graph-level distinctions. The key challenge to build a pre-trained GNN on molecules is how to (1) generate well-distinguished graph-level representations and (2) automatically discover the functional groups without prior knowledge. To solve it, we propose a novel Subgraph-conditioned Graph Information Bottleneck, named S-CGIB, for pre-training GNNs to recognize core subgraphs (graph cores) and significant subgraphs. The main idea is that the graph cores contain compressed and sufficient information that could generate well-distinguished graph-level representations and reconstruct the input graph conditioned on significant subgraphs across molecules under the S-CGIB principle. To discover significant subgraphs without prior knowledge about functional groups, we propose generating a set of functional group candidates, i.e., ego networks, and using an attention-based interaction between the graph core and the candidates. Despite being identified from self-supervised learning, our learned subgraphs match the real-world functional groups. Extensive experiments on molecule datasets across various domains demonstrate the superiority of S-CGIB.

Proposed method: S-CGIB

Benchmark Results

Tested on 12 datasets 60 baseline values reported too low

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

TU Dortmund

#ModelAccuracy ↑Paper
1
WL-MLP
0.9954
2
GIN
0.9934
3
GCN
0.9727
81
Infomax
actual #81 vs paper #581 500 places worse
0.8285 ±0.0016
best reported
actual #81 vs paper #581 500 places worse
paper 0.4955 ±0.0114
paper 0.4955 ±0.0114 Δ at pub 0.3330
104
GraphCL
actual #104 vs paper #582 478 places worse
0.8250 ±0.0013
best reported
actual #104 vs paper #582 478 places worse
paper 0.4911 ±0.0131
paper 0.4911 ±0.0131 Δ at pub 0.3339
131
GraphSAGE
0.8200 ±0.0100
146
JOAOv2
actual #146 vs paper #578 432 places worse
0.8170 ±0.0026
best reported
actual #146 vs paper #578 432 places worse
paper 0.5073 ±0.0174
paper 0.5073 ±0.0174 Δ at pub 0.3097
238
S-CGIB
0.7975 ±0.0082
This paper
293
MoAMa
0.7859 ±0.0081
This paper
301
JOAO
actual #301 vs paper #582 281 places worse
0.7840 ±0.0050
best reported
actual #301 vs paper #582 281 places worse
paper 0.4903 ±0.0121
paper 0.4903 ±0.0121 Δ at pub 0.2937
326
EdgePred
actual #326 vs paper #581 255 places worse
0.7782 ±0.0295
best reported
actual #326 vs paper #581 255 places worse
paper 0.4988 ±0.0112
paper 0.4988 ±0.0112 Δ at pub 0.2794
400
GROVE
0.7579 ±0.0091
This paper
424
MICRO-Graph
0.7445 ±0.0151
This paper
450
ContextPred
actual #450 vs paper #582 132 places worse
0.7300 ±0.0030
best reported
actual #450 vs paper #582 132 places worse
paper 0.4947 ±0.0112
paper 0.4947 ±0.0112 Δ today 0.2353
549
GraphLoG
0.6094 ±0.0193
This paper
550
MGSSL
0.6094 ±0.0193
This paper
565
SimSGT
0.5693 ±0.0043
This paper
575
GraphFP
0.5377 ±0.0113
This paper
582
AttrMasking
0.4951 ±0.0121
This paper

MoleculeNet

#ModelROC-AUC ↑Paper
1
HIMP
0.8740 ±0.0050
2
GINE w/ VN
0.8720 ±0.0030
3
NaiveGINe+ K=3 w/ VN
0.8700 ±0.0040
14
GCN
actual #14 vs paper #310 296 places worse
0.8400 ±0.0040
best reported
actual #14 vs paper #310 296 places worse
paper 0.6861 ±0.0055
paper 0.6861 ±0.0055 Δ at pub 0.1539
24
GIN
actual #24 vs paper #41 17 places worse
0.8290 ±0.0069
best reported
actual #24 vs paper #41 17 places worse
paper 0.8094 ±0.0017
paper 0.8094 ±0.0017 Δ at pub 0.0196
31
JOAO
actual #31 vs paper #269 238 places worse
0.8230 ±0.0220
best reported
actual #31 vs paper #269 238 places worse
paper 0.7367 ±0.0106
paper 0.7367 ±0.0106 Δ at pub 0.0863
35
EdgePred
actual #35 vs paper #301 266 places worse
0.8180 ±0.0250
best reported
actual #35 vs paper #301 266 places worse
paper 0.7032 ±0.0162
paper 0.7032 ±0.0162 Δ at pub 0.1148
37
Infomax
actual #37 vs paper #287 250 places worse
0.8160 ±0.0210
best reported
actual #37 vs paper #287 250 places worse
paper 0.7266 ±0.0016
paper 0.7266 ±0.0016 Δ at pub 0.0894
42
S-CGIB
0.8094 ±0.0017
This paper
46
ContextPred
actual #46 vs paper #279 233 places worse
0.8060 ±0.0120
best reported
actual #46 vs paper #279 233 places worse
paper 0.7326 ±0.0059
paper 0.7326 ±0.0059 Δ at pub 0.0734
47
GraphCL
actual #47 vs paper #279 232 places worse
0.8050 ±0.0170
best reported
actual #47 vs paper #279 232 places worse
paper 0.7326 ±0.0059
paper 0.7326 ±0.0059 Δ at pub 0.0724
71
GraphLoG
actual #71 vs paper #293 222 places worse
0.7960 ±0.0250
best reported
actual #71 vs paper #293 222 places worse
paper 0.7164 ±0.0049
paper 0.7164 ±0.0049 Δ at pub 0.0796
112
MoAMa
actual #112 vs paper #112
0.7829 ±0.0055
actual #112 vs paper #112
paper 0.7829 ±0.0055
paper 0.7829 ±0.0055 Δ at pub 0.0179
126
GT
0.7775 ±0.0024
This paper
135
GraphSAGE
actual #135 vs paper #135
0.7744 ±0.0038
actual #135 vs paper #135
paper 0.7744 ±0.0038
paper 0.7744 ±0.0038 Δ at pub 0.0294
138
MICRO-Graph
actual #138 vs paper #293 155 places worse
0.7740 ±0.0060
best reported
actual #138 vs paper #293 155 places worse
paper 0.7179 ±0.0170
paper 0.7179 ±0.0170 Δ at pub 0.0561
143
GraphFP
0.7735 ±0.0140
This paper
163
AttrMasking
actual #163 vs paper #277 114 places worse
0.7670 ±0.0040
best reported
actual #163 vs paper #277 114 places worse
paper 0.7337 ±0.0055
paper 0.7337 ±0.0055 Δ at pub 0.0333 Δ today 0.0333
172
MGSSL
actual #172 vs paper #238 66 places worse
0.7650 ±0.0030
best reported
actual #172 vs paper #238 66 places worse
paper 0.7482 ±0.0160

Difference within reported uncertainty; not counted as underperformance.

paper 0.7482 ±0.0160 Δ at pub 0.0168
179
SimSGT
0.7623 ±0.0127
This paper
259
JOAOv2
actual #259 vs paper #265 6 places worse
0.7427 ±0.0062
best reported
actual #259 vs paper #265 6 places worse
paper 0.7395 ±0.0188

Difference within reported uncertainty; not counted as underperformance.

paper 0.7395 ±0.0188 Δ at pub 0.0032
265
GAT
actual #265 vs paper #337 72 places worse
0.7400 ±0.0090
best reported
actual #265 vs paper #337 72 places worse
paper 0.5850 ±0.0118
paper 0.5850 ±0.0118 Δ at pub 0.1550
311
GROVE
0.6859 ±0.0024
This paper
#ModelROC-AUC ↑Paper
1
ProtoMol
0.9140 ±0.0030
2
MMSG
0.9080 ±0.0050
3
MemGNN
0.9070
42
S-CGIB
actual #42 vs paper #42
0.8650 ±0.0080
best reported
actual #42 vs paper #42
paper 0.8646 ±0.0081

Difference within reported uncertainty; not counted as underperformance.

paper 0.8646 ±0.0081 Δ today 0.0004
43
GIN
actual #43 vs paper #43
0.8646 ±0.0081
actual #43 vs paper #43
paper 0.8646 ±0.0081

Improvement within reported uncertainty; not highlighted.

paper 0.8646 ±0.0081 Δ at pub 0.0036
64
GCN
0.8540 ±0.0110
98
GraphLoG
actual #98 vs paper #238 140 places worse
0.8350 ±0.0120
best reported
actual #98 vs paper #238 140 places worse
paper 0.7660 ±0.0104
paper 0.7660 ±0.0104 Δ at pub 0.0690 Δ today 0.0690
100
JOAO
actual #100 vs paper #251 151 places worse
0.8340 ±0.0330
best reported
actual #100 vs paper #251 151 places worse
paper 0.7494 ±0.0135
paper 0.7494 ±0.0135 Δ at pub 0.0846
130
MGSSL
actual #130 vs paper #130
0.8203 ±0.0379
actual #130 vs paper #130
paper 0.8203 ±0.0379

Improvement within reported uncertainty; not highlighted.

paper 0.8203 ±0.0379 Δ at pub 0.0233
134
MICRO-Graph
actual #134 vs paper #297 163 places worse
0.8190 ±0.0040
best reported
actual #134 vs paper #297 163 places worse
paper 0.6357 ±0.0155
paper 0.6357 ±0.0155 Δ at pub 0.1833
147
MoAMa
actual #147 vs paper #147
0.8132 ±0.0106
actual #147 vs paper #147
paper 0.8132 ±0.0106

Improvement within reported uncertainty; not highlighted.

paper 0.8132 ±0.0106 Δ at pub 0.0122
152
GROVE
0.8113 ±0.0014
This paper
172
GraphFP
actual #172 vs paper #172
0.8030 ±0.0310
best reported
actual #172 vs paper #172
paper 0.8028 ±0.0306

Difference within reported uncertainty; not counted as underperformance.

paper 0.8028 ±0.0306 Δ today 0.0002
176
EdgePred
actual #176 vs paper #253 77 places worse
0.7990 ±0.0090
best reported
actual #176 vs paper #253 77 places worse
paper 0.7429 ±0.0137
paper 0.7429 ±0.0137 Δ at pub 0.0561
180
SimSGT
actual #180 vs paper #181 1 place worse
0.7980 ±0.0130
best reported
actual #180 vs paper #181 1 place worse
paper 0.7975 ±0.0128

Difference within reported uncertainty; not counted as underperformance.

paper 0.7975 ±0.0128 Δ today 0.0005
186
ContextPred
actual #186 vs paper #211 25 places worse
0.7960 ±0.0120
best reported
actual #186 vs paper #211 25 places worse
paper 0.7839 ±0.0058

Difference within reported uncertainty; not counted as underperformance.

paper 0.7839 ±0.0058 Δ at pub 0.0121 Δ today 0.0121
191
AttrMasking
actual #191 vs paper #243 52 places worse
0.7930 ±0.0160
best reported
actual #191 vs paper #243 52 places worse
paper 0.7595 ±0.0050
paper 0.7595 ±0.0050 Δ at pub 0.0335 Δ today 0.0335
213
GraphCL
actual #213 vs paper #223 10 places worse
0.7820 ±0.0120
best reported
actual #213 vs paper #223 10 places worse
paper 0.7780 ±0.0046

Difference within reported uncertainty; not counted as underperformance.

paper 0.7780 ±0.0046 Δ at pub 0.0040
225
Infomax
actual #225 vs paper #225
0.7780 ±0.0046
actual #225 vs paper #225
paper 0.7780 ±0.0046

Improvement within reported uncertainty; not highlighted.

paper 0.7780 ±0.0046 Δ at pub 0.0190
248
JOAOv2
actual #248 vs paper #253 5 places worse
0.7549 ±0.0127
best reported
actual #248 vs paper #253 5 places worse
paper 0.7438 ±0.0171

Difference within reported uncertainty; not counted as underperformance.

paper 0.7438 ±0.0171 Δ at pub 0.0111
#ModelROC-AUC ↑Paper
1
MAGPrompt+
0.9432 ±0.0238
2
CamS-LLaMA
0.9420
3
SE(3)-I MPPH
0.9400 ±0.0210
35
S-CGIB
0.8875 ±0.0049
This paper
34
GIN
actual #34 vs paper #34
0.8875 ±0.0049
actual #34 vs paper #34
paper 0.8875 ±0.0049

Improvement within reported uncertainty; not highlighted.

paper 0.8875 ±0.0049 Δ at pub 0.0145
36
GraphCL
actual #36 vs paper #194 158 places worse
0.8870 ±0.0190
best reported
actual #36 vs paper #194 158 places worse
paper 0.6839 ±0.0064
paper 0.6839 ±0.0064 Δ at pub 0.2031
38
GCN
actual #38 vs paper #64 26 places worse
0.8810 ±0.0360
best reported
actual #38 vs paper #64 26 places worse
paper 0.7653 ±0.0048
paper 0.7653 ±0.0048 Δ at pub 0.1157
39
JOAO
actual #39 vs paper #109 70 places worse
0.8790 ±0.0200
best reported
actual #39 vs paper #109 70 places worse
paper 0.7163 ±0.0111
paper 0.7163 ±0.0111 Δ at pub 0.1627
40
ContextPred
actual #40 vs paper #174 134 places worse
0.8770 ±0.0260
best reported
actual #40 vs paper #174 134 places worse
paper 0.6910 ±0.0029
paper 0.6910 ±0.0029 Δ at pub 0.1860
44
EdgePred
actual #44 vs paper #275 231 places worse
0.8730 ±0.0160
best reported
actual #44 vs paper #275 231 places worse
paper 0.6473 ±0.0110
paper 0.6473 ±0.0110 Δ at pub 0.2257
45
GROVE
0.8715 ±0.0006
This paper
46
MICRO-Graph
actual #46 vs paper #226 180 places worse
0.8700 ±0.0080
best reported
actual #46 vs paper #226 180 places worse
paper 0.6721 ±0.0185
paper 0.6721 ±0.0185 Δ at pub 0.1979
51
MoAMa
actual #51 vs paper #51
0.8589 ±0.0061
actual #51 vs paper #51
paper 0.8589 ±0.0061
paper 0.8589 ±0.0061 Δ at pub 0.1309
54
GraphLoG
actual #54 vs paper #240 186 places worse
0.8460 ±0.0080
best reported
actual #54 vs paper #240 186 places worse
paper 0.6675 ±0.0032
paper 0.6675 ±0.0032 Δ at pub 0.1785
55
Infomax
actual #55 vs paper #194 139 places worse
0.8400 ±0.0260
best reported
actual #55 vs paper #194 139 places worse
paper 0.6839 ±0.0064
paper 0.6839 ±0.0064 Δ at pub 0.1561
57
GraphSAGE
actual #57 vs paper #57
0.8304 ±0.0038
actual #57 vs paper #57
paper 0.8304 ±0.0038
58
GT
0.8255 ±0.0134
This paper
61
MGSSL
actual #61 vs paper #61
0.7952 ±0.0198
actual #61 vs paper #61
paper 0.7952 ±0.0198
paper 0.7952 ±0.0198 Δ at pub 0.0902
99
GraphFP
0.7205 ±0.0117
This paper
104
JOAOv2
actual #104 vs paper #104
0.7198 ±0.0018
actual #104 vs paper #104
paper 0.7198 ±0.0018

Improvement within reported uncertainty; not highlighted.

paper 0.7198 ±0.0018 Δ at pub 0.0059
115
SimSGT
0.7151 ±0.0175
This paper
210
GAT
actual #210 vs paper #314 104 places worse
0.6776
best reported
actual #210 vs paper #314 104 places worse
paper 0.5331 ±0.0061
paper 0.5331 ±0.0061 Δ at pub 0.1445
230
AttrMasking
actual #230 vs paper #230
0.6712 ±0.0045
actual #230 vs paper #230
paper 0.6712 ±0.0045

Improvement within reported uncertainty; not highlighted.

paper 0.6712 ±0.0045 Δ at pub 0.0282
#ModelROC-AUC ↑Paper
1
SE(3)-I MPPH
0.9930 ±0.0040
2
KA-GCN
0.9920 ±0.0050
3
KA-GAT
0.9910 ±0.0050
19
GCN
0.9130 ±0.0170
56
MoAMa
actual #56 vs paper #115 59 places worse
0.8530 ±0.0220
best reported
actual #56 vs paper #115 59 places worse
paper 0.7711 ±0.0167
paper 0.7711 ±0.0167 Δ at pub 0.0819
79
JOAO
actual #79 vs paper #115 36 places worse
0.8132 ±0.0249
best reported
actual #79 vs paper #115 36 places worse
paper 0.7702 ±0.0164
paper 0.7702 ±0.0164 Δ at pub 0.0430
80
JOAOv2
actual #80 vs paper #200 120 places worse
0.8097 ±0.0164
best reported
actual #80 vs paper #200 120 places worse
paper 0.6522 ±0.0075
paper 0.6522 ±0.0075 Δ at pub 0.1575
85
MGSSL
actual #85 vs paper #121 36 places worse
0.8070 ±0.0210
best reported
actual #85 vs paper #121 36 places worse
paper 0.7584 ±0.0182
paper 0.7584 ±0.0182 Δ at pub 0.0486
97
GraphCL
actual #97 vs paper #216 119 places worse
0.7890 ±0.0420
best reported
actual #97 vs paper #216 119 places worse
paper 0.6162 ±0.0125
paper 0.6162 ±0.0125 Δ at pub 0.1728 Δ today 0.1728
103
GraphLoG
actual #103 vs paper #241 138 places worse
0.7872 ±0.0258
best reported
actual #103 vs paper #241 138 places worse
paper 0.5376 ±0.0095
paper 0.5376 ±0.0095 Δ at pub 0.2496 Δ today 0.2496
104
S-CGIB
0.7858 ±0.0201
This paper
108
MICRO-Graph
actual #108 vs paper #108
0.7756 ±0.0156
actual #108 vs paper #108
paper 0.7756 ±0.0156
115
ContextPred
actual #115 vs paper #240 125 places worse
0.7720 ±0.0088
best reported
actual #115 vs paper #240 125 places worse
paper 0.5563 ±0.0135
116
GraphFP
0.7680 ±0.0183
This paper
139
SimSGT
0.7411 ±0.0105
This paper
151
Infomax
actual #151 vs paper #227 76 places worse
0.7300 ±0.0320
best reported
actual #151 vs paper #227 76 places worse
paper 0.5862 ±0.0083
paper 0.5862 ±0.0083 Δ at pub 0.1438
156
GROVE
0.7253 ±0.0014
This paper
162
AttrMasking
actual #162 vs paper #222 60 places worse
0.7180 ±0.0410
best reported
actual #162 vs paper #222 60 places worse
paper 0.6011 ±0.0119
paper 0.6011 ±0.0119 Δ at pub 0.1169 Δ today 0.1169
192
EdgePred
actual #192 vs paper #216 24 places worse
0.6730 ±0.0200
best reported
actual #192 vs paper #216 24 places worse
paper 0.6162 ±0.0125
paper 0.6162 ±0.0125 Δ at pub 0.0568
#ModelROC-AUC ↑Paper
1
KA-GAT
0.8470 ±0.0020
2
KA-GCN
0.8420 ±0.0010
3
GraphKAN
0.8370 ±0.0010
36
GraphFP
0.6593 ±0.0309
This paper
58
MoAMa
actual #58 vs paper #93 35 places worse
0.6460 ±0.0050
best reported
actual #58 vs paper #93 35 places worse
paper 0.6269 ±0.0037
paper 0.6269 ±0.0037 Δ at pub 0.0191
67
S-CGIB
0.6403 ±0.0104
This paper
66
GIN
actual #66 vs paper #66
0.6403 ±0.0104
actual #66 vs paper #66
paper 0.6403 ±0.0104

Improvement within reported uncertainty; not highlighted.

paper 0.6403 ±0.0104 Δ at pub 0.0243
68
JOAO
actual #68 vs paper #77 9 places worse
0.6400 ±0.0100
best reported
actual #68 vs paper #77 9 places worse
paper 0.6355 ±0.0081

Difference within reported uncertainty; not counted as underperformance.

paper 0.6355 ±0.0081 Δ at pub 0.0045
103
ContextPred
actual #103 vs paper #113 10 places worse
0.6220 ±0.0059
best reported
actual #103 vs paper #113 10 places worse
paper 0.6183 ±0.0060

Difference within reported uncertainty; not counted as underperformance.

paper 0.6183 ±0.0060 Δ at pub 0.0037 Δ today 0.0037
114
GraphCL
actual #114 vs paper #114
0.6183 ±0.0060
actual #114 vs paper #114
paper 0.6183 ±0.0060

Improvement within reported uncertainty; not highlighted.

paper 0.6183 ±0.0060 Δ at pub 0.0007
116
MGSSL
actual #116 vs paper #219 103 places worse
0.6180 ±0.0080
best reported
actual #116 vs paper #219 103 places worse
paper 0.5746 ±0.0145
paper 0.5746 ±0.0145 Δ at pub 0.0434
117
MICRO-Graph
actual #117 vs paper #174 57 places worse
0.6170 ±0.0180
best reported
actual #117 vs paper #174 57 places worse
paper 0.6034 ±0.0096

Difference within reported uncertainty; not counted as underperformance.

paper 0.6034 ±0.0096 Δ at pub 0.0136
120
Infomax
actual #120 vs paper #203 83 places worse
0.6160 ±0.0240
best reported
actual #120 vs paper #203 83 places worse
paper 0.5902 ±0.0056

Difference within reported uncertainty; not counted as underperformance.

paper 0.5902 ±0.0056 Δ at pub 0.0258
123
GraphLoG
actual #123 vs paper #202 79 places worse
0.6150 ±0.0130
best reported
actual #123 vs paper #202 79 places worse
paper 0.5909 ±0.0053
paper 0.5909 ±0.0053 Δ at pub 0.0241
125
GCN
0.6150 ±0.0250
133
AttrMasking
actual #133 vs paper #133
0.6121 ±0.0065
actual #133 vs paper #133
paper 0.6121 ±0.0065

Improvement within reported uncertainty; not highlighted.

paper 0.6121 ±0.0065 Δ at pub 0.0021
167
JOAOv2
actual #167 vs paper #186 19 places worse
0.6049 ±0.0074
best reported
actual #167 vs paper #186 19 places worse
paper 0.5988 ±0.0172

Difference within reported uncertainty; not counted as underperformance.

paper 0.5988 ±0.0172 Δ at pub 0.0061
170
EdgePred
actual #170 vs paper #177 7 places worse
0.6040 ±0.0070
best reported
actual #170 vs paper #177 7 places worse
paper 0.6018 ±0.0076

Difference within reported uncertainty; not counted as underperformance.

paper 0.6018 ±0.0076 Δ at pub 0.0022 Δ today 0.0022
191
SimSGT
0.5974 ±0.0132
This paper
219
GROVE
0.5753 ±0.0023
This paper
#ModelROC-AUC ↑Paper
1
GeomGCL
0.7630
2
LiGhT DeepGPT
0.7570 ±0.0110
3
CoMPT
0.7550
14
GCN
actual #14 vs paper #111 97 places worse
0.7350 ±0.0020
best reported
actual #14 vs paper #111 97 places worse
paper 0.6474 ±0.0035
paper 0.6474 ±0.0035 Δ at pub 0.0876
28
ContextPred
actual #28 vs paper #154 126 places worse
0.7140 ±0.0180
best reported
actual #28 vs paper #154 126 places worse
paper 0.6328 ±0.0068
paper 0.6328 ±0.0068 Δ at pub 0.0812
30
EdgePred
actual #30 vs paper #199 169 places worse
0.7120 ±0.0110
best reported
actual #30 vs paper #199 169 places worse
paper 0.6004 ±0.0081
paper 0.6004 ±0.0081 Δ at pub 0.1116
31
JOAO
actual #31 vs paper #149 118 places worse
0.7110 ±0.0140
best reported
actual #31 vs paper #149 118 places worse
paper 0.6330 ±0.0027
paper 0.6330 ±0.0027 Δ at pub 0.0780
33
S-CGIB
0.7095 ±0.0027
This paper
32
GIN
actual #32 vs paper #32
0.7095 ±0.0027
actual #32 vs paper #32
paper 0.7095 ±0.0027
40
GT
0.6999 ±0.0037
This paper
42
GraphCL
actual #42 vs paper #167 125 places worse
0.6960 ±0.0230
best reported
actual #42 vs paper #167 125 places worse
paper 0.6276 ±0.0054
paper 0.6276 ±0.0054 Δ at pub 0.0684
45
GraphFP
0.6915 ±0.0192
This paper
49
Infomax
actual #49 vs paper #167 118 places worse
0.6900 ±0.0120
best reported
actual #49 vs paper #167 118 places worse
paper 0.6276 ±0.0054
paper 0.6276 ±0.0054 Δ at pub 0.0624
58
MoAMa
actual #58 vs paper #58
0.6801 ±0.0107
actual #58 vs paper #58
paper 0.6801 ±0.0107
paper 0.6801 ±0.0107 Δ at pub 0.0501
62
GraphSAGE
actual #62 vs paper #62
0.6775 ±0.0041
actual #62 vs paper #62
paper 0.6775 ±0.0041
64
GraphLoG
actual #64 vs paper #186 122 places worse
0.6770 ±0.0190
best reported
actual #64 vs paper #186 122 places worse
paper 0.6153 ±0.0035
paper 0.6153 ±0.0035 Δ at pub 0.0617
92
SimSGT
0.6583 ±0.0079
This paper
117
GROVE
0.6445 ±0.0014
This paper
126
AttrMasking
actual #126 vs paper #185 59 places worse
0.6420 ±0.0050
best reported
actual #126 vs paper #185 59 places worse
paper 0.6166 ±0.0120
paper 0.6166 ±0.0120 Δ at pub 0.0254 Δ today 0.0254
129
MGSSL
actual #129 vs paper #133 4 places worse
0.6410 ±0.0070
best reported
actual #129 vs paper #133 4 places worse
paper 0.6386 ±0.0157

Difference within reported uncertainty; not counted as underperformance.

paper 0.6386 ±0.0157 Δ at pub 0.0024
157
GAT
actual #157 vs paper #208 51 places worse
0.6320 ±0.0080
best reported
actual #157 vs paper #208 51 places worse
paper 0.5790 ±0.0003
paper 0.5790 ±0.0003 Δ at pub 0.0530
158
JOAOv2
actual #158 vs paper #158
0.6316 ±0.0045
best reported
actual #158 vs paper #158
paper 0.6312 ±0.0190

Difference within reported uncertainty; not counted as underperformance.

paper 0.6312 ±0.0190 Δ at pub 0.0004
195
MICRO-Graph
0.6080 ±0.0115
This paper
#ModelRMSE ↓Paper
1
Graphormer-SPIS
0.4840 ±0.0050
2
Graphormer-SPD
0.4920 ±0.0040
3
conan-FGW
0.5140 ±0.0190
7
GCN
0.5640 ±0.0150
48
S-CGIB
0.8160 ±0.0190
This paper
60
MICRO-Graph
0.8420 ±0.0550
This paper
74
SimSGT
0.9320 ±0.0260
This paper
79
GraphCL
actual #79 vs paper #124 45 places worse
0.9590 ±0.0470
best reported
actual #79 vs paper #124 45 places worse
paper 1.3900 ±0.3630

Difference within reported uncertainty; not counted as underperformance.

paper 1.3900 ±0.3630 Δ at pub 0.4310 Δ today 0.4310
105
JOAO
actual #105 vs paper #141 36 places worse
1.1200
best reported
actual #105 vs paper #141 36 places worse
paper 1.9780 ±0.0290
paper 1.9780 ±0.0290 Δ at pub 0.8580 Δ today 0.8580
107
MoAMa
actual #107 vs paper #107
1.1250 ±0.0290
actual #107 vs paper #107
paper 1.1250 ±0.0290
paper 1.1250 ±0.0290 Δ at pub 0.2690
113
MGSSL
actual #113 vs paper #148 35 places worse
1.1790 ±0.0080
best reported
actual #113 vs paper #148 35 places worse
paper 2.9360 ±0.0710
paper 2.9360 ±0.0710 Δ at pub 1.7570
114
ContextPred
actual #114 vs paper #145 31 places worse
1.1960 ±0.0370
best reported
actual #114 vs paper #145 31 places worse
paper 2.1900 ±0.0260
paper 2.1900 ±0.0260 Δ at pub 0.9940
119
GROVE
1.2370 ±0.4030
This paper
130
GraphLoG
actual #130 vs paper #134 4 places worse
1.5070 ±0.1300
best reported
actual #130 vs paper #134 4 places worse
paper 1.5420 ±0.0260

Difference within reported uncertainty; not counted as underperformance.

paper 1.5420 ±0.0260 Δ at pub 0.0350
140
GraphFP
actual #140 vs paper #144 4 places worse
1.9350
best reported
actual #140 vs paper #144 4 places worse
paper 2.1360 ±0.0960
145
JOAOv2
2.1440 ±0.0090
This paper
148
EdgePred
2.3680 ±0.0700
This paper
149
Infomax
2.9530 ±0.0490
This paper
150
AttrMasking
2.9540 ±0.0870
This paper
#ModelRMSE ↓Paper
1
SE(3)-I MPPH
0.3540 ±0.0530
2
ECFP-4 + RF
0.5600 ±0.0660
3
GPSE + GPS
0.6820
33
S-CGIB
1.6480 ±0.0740
This paper
41
MICRO-Graph
1.8650 ±0.0610
This paper
46
SimSGT
1.9530 ±0.0380
This paper
54
MoAMa
actual #54 vs paper #54
2.0720 ±0.0530
actual #54 vs paper #54
paper 2.0720 ±0.0530
paper 2.0720 ±0.0530 Δ at pub 0.6280
67
GraphLoG
actual #67 vs paper #67
2.3350 ±0.0520
actual #67 vs paper #67
paper 2.3350 ±0.0520
paper 2.3350 ±0.0520 Δ at pub 1.1320
69
GIN
2.3460 ±0.1220
75
GraphFP
2.5280 ±0.0160
This paper
82
GROVE
2.7120 ±0.3270
This paper
90
MGSSL
actual #90 vs paper #94 4 places worse
2.8400 ±0.1900
best reported
actual #90 vs paper #94 4 places worse
paper 2.9400 ±0.0510

Difference within reported uncertainty; not counted as underperformance.

paper 2.9400 ±0.0510 Δ at pub 0.1000
96
Infomax
3.0330 ±0.0260
This paper
98
ContextPred
actual #98 vs paper #102 4 places worse
3.0570 ±0.1700
best reported
actual #98 vs paper #102 4 places worse
paper 3.1950 ±0.0580

Difference within reported uncertainty; not counted as underperformance.

paper 3.1950 ±0.0580 Δ at pub 0.1380
101
GraphCL
actual #101 vs paper #101
3.1660 ±0.0270
actual #101 vs paper #101
paper 3.1660 ±0.0270
paper 3.1660 ±0.0270 Δ at pub 0.5780
102
EdgePred
3.1920 ±0.0230
This paper
104
JOAO
actual #104 vs paper #104
3.2820 ±0.0020
actual #104 vs paper #104
paper 3.2820 ±0.0020
paper 3.2820 ±0.0020 Δ at pub 0.1850
112
JOAOv2
3.8420 ±0.0120
This paper
114
AttrMasking
4.0230 ±0.0390
This paper
#ModelRMSE ↓Paper
1
MemGNN
0.5560 ±0.0230
2
ProtoS-L2
0.5800 ±0.0160
3
ProtoW-L2
0.6040 ±0.0140
7
GCN
0.6550 ±0.0360
17
ContextPred
actual #17 vs paper #92 75 places worse
0.7020 ±0.0200
best reported
actual #17 vs paper #92 75 places worse
paper 1.0530 ±0.0480
paper 1.0530 ±0.0480 Δ at pub 0.3510
21
JOAO
actual #21 vs paper #93 72 places worse
0.7080
best reported
actual #21 vs paper #93 72 places worse
paper 1.0930 ±0.0970
paper 1.0930 ±0.0970 Δ at pub 0.3850 Δ today 0.3850
24
GraphCL
actual #24 vs paper #90 66 places worse
0.7140 ±0.0110
best reported
actual #24 vs paper #90 66 places worse
paper 1.0140 ±0.0180
45
S-CGIB
0.7620 ±0.0420
This paper
47
SimSGT
0.7710 ±0.0410
This paper
48
MoAMa
actual #48 vs paper #92 44 places worse
0.7720 ±0.0300
best reported
actual #48 vs paper #92 44 places worse
paper 1.0850 ±0.0240
paper 1.0850 ±0.0240 Δ at pub 0.3130
63
GROVE
0.8230 ±0.0270
This paper
69
MICRO-Graph
0.8510 ±0.0730
This paper
73
MGSSL
actual #73 vs paper #93 20 places worse
0.8690 ±0.0600
best reported
actual #73 vs paper #93 20 places worse
paper 1.1060 ±0.0770
paper 1.1060 ±0.0770 Δ at pub 0.2370
82
GraphLoG
actual #82 vs paper #82
0.9320 ±0.0520
actual #82 vs paper #82
paper 0.9320 ±0.0520
paper 0.9320 ±0.0520 Δ at pub 0.1080
87
Infomax
0.9700 ±0.0230
This paper
88
AttrMasking
0.9820 ±0.0520
This paper
93
EdgePred
1.0850 ±0.0610
This paper
95
JOAOv2
1.1160 ±0.0240
This paper
102
GraphFP
1.3710 ±0.0580
This paper

LRGB

#ModelMAE ↓Paper
1
GCN
0.2421 ±0.0016
2
IPR-MPNN
0.2422 ±0.0007
3
TANGO-GPS
0.2422 ±0.0014
5
GIN
0.2429 ±0.0019
157
S-CGIB
0.2690 ±0.0040
This paper
176
MGSSL
0.3220 ±0.0080
This paper
177
GraphFP
0.3270 ±0.0260
This paper
178
MICRO-Graph
0.3320 ±0.0020
This paper
186
SimSGT
0.3580 ±0.0030
This paper
188
MoAMa
0.3650 ±0.0050
This paper
195
GROVE
0.3760 ±0.0050
This paper
197
GraphLoG
0.4190 ±0.0060
This paper
201
MLP
0.4351 ±0.0008
202
JOAO
0.4630 ±0.0080
This paper
204
JOAOv2
0.5410 ±0.0080
This paper
205
EdgePred
0.5460 ±0.0010
This paper
206
Infomax
0.5740 ±0.0010
This paper
207
AttrMasking
0.5800 ±0.0020
This paper
208
ContextPred
0.5870 ±0.0010
This paper
209
GraphCL
0.9730 ±0.0140
This paper
#ModelAP ↑Paper
1
S^2GCN
0.7311 ±0.0066
2
S4G
0.7293 ±0.0004
3
BuNN
0.7276 ±0.0065
4
GCN
0.7261 ±0.0011
47
S-CGIB
0.6940 ±0.0020
This paper
132
GraphFP
0.6180 ±0.0140
This paper
134
SimSGT
0.6120 ±0.0050
This paper
148
GROVE
0.5870 ±0.0230
This paper
153
MoAMa
0.5840 ±0.0190
This paper
167
MGSSL
0.5410 ±0.0060
This paper
174
MICRO-Graph
0.5050 ±0.0140
This paper
181
MLP
0.4060 ±0.0021
182
JOAOv2
0.3980 ±0.0090
This paper
183
JOAO
0.3860 ±0.0090
This paper
185
GraphCL
0.3800 ±0.0020
This paper
191
Infomax
0.3350 ±0.0130
This paper
192
AttrMasking
0.3180 ±0.0020
This paper
193
GraphLoG
0.3130 ±0.0340
This paper
194
ContextPred
0.3110 ±0.0130
This paper
195
EdgePred
0.3100 ±0.0120
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