notesum.ai
Published at November 20KAAE: Numerical Reasoning for Knowledge Graphs via Knowledge-aware Attributes Learning
cs.AI
Released Date: November 20, 2024
Authors: Ming Yin1, Qiang Zhou, Zongsheng Cao2, Mei Li
Aff.: 1China University of Geosciences, Beijing; 2University of Chinese Academy of Sciences

| Model | US-Cities | Spotify | Credit | |||||||||||||
| H@1 | H@3 | H@10 | MR | MRR | H@1 | H@3 | H@10 | MR | MRR | H@1 | H@3 | H@10 | MR | MRR | ||
| Euclidean | TransE | 0.189 | 0.248 | 0.324 | 367 | 0.239 | 0.259 | 0.355 | 0.462 | 115 | 0.332 | 0.421 | 0.520 | 0.630 | 39 | 0.493 |
| DistMult | 0.013 | 0.028 | 0.065 | 855 | 0.032 | 0.025 | 0.048 | 0.131 | 227 | 0.062 | 0.127 | 0.195 | 0.301 | 122 | 0.189 | |
| ComplEx | 0.084 | 0.126 | 0.185 | 587 | 0.120 | 0.124 | 0.188 | 0.284 | 173 | 0.182 | 0.291 | 0.388 | 0.513 | 65 | 0.366 | |
| ConvE | 0.158 | 0.202 | 0.274 | 385 | 0.198 | 0.231 | 0.307 | 0.414 | 110 | 0.295 | 0.171 | 0.281 | 0.430 | 58 | 0.261 | |
| TuckER | 0.156 | 0.212 | 0.308 | 321 | 0.207 | 0.211 | 0.296 | 0.411 | 98 | 0.278 | 0.405 | 0.512 | 0.638 | 36 | 0.485 | |
| HAKE | 0.003 | 0.025 | 0.064 | 981 | 0.024 | 0.008 | 0.085 | 0.120 | 196 | 0.075 | 0.051 | 0.151 | 0.273 | 128 | 0.134 | |
| Hyperbolic | AttH | 0.051 | 0.069 | 0.108 | 1255 | 0.076 | 0.052 | 0.082 | 0.146 | 348 | 0.087 | 0.176 | 0.261 | 0.395 | 101 | 0.251 |
| ConE | 0.009 | 0.042 | 0.114 | 239 | 0.048 | 0.001 | 0.006 | 0.064 | 227 | 0.028 | 0.006 | 0.241 | 0.395 | 82 | 0.156 | |
| GIE | 0.095 | 0.134 | 0.206 | 570 | 0.132 | 0.121 | 0.183 | 0.281 | 185 | 0.174 | 0.285 | 0.388 | 0.512 | 76 | 0.359 | |
| MuRP | 0.082 | 0.113 | 0.175 | 457 | 0.115 | 0.024 | 0.179 | 0.324 | 135 | 0.119 | 0.151 | 0.246 | 0.432 | 80 | 0.228 | |
| GNNs | R-GCN | 0.212 | 0.271 | 0.355 | 314 | 0.263 | 0.288 | 0.382 | 0.504 | 89 | 0.364 | 0.480 | 0.570 | 0.675 | 34 | 0.546 |
| WGCN | 0.029 | 0.056 | 0.104 | 968 | 0.057 | 0.095 | 0.162 | 0.261 | 331 | 0.153 | 0.170 | 0.256 | 0.369 | 100 | 0.241 | |
| Attributed | KBLRN | 0.006 | 0.018 | 0.046 | 2164 | 0.021 | 0.017 | 0.039 | 0.086 | 347 | 0.044 | 0.007 | 0.020 | 0.079 | 271 | 0.061 |
| MT-KGNN | 0.071 | 0.109 | 0.156 | 653 | 0.102 | 0.108 | 0.182 | 0.302 | 142 | 0.176 | 0.211 | 0.304 | 0.436 | 74 | 0.285 | |
| LiteralE | 0.246 | 0.308 | 0.402 | 228 | 0.299 | 0.264 | 0.371 | 0.498 | 76 | 0.345 | 0.475 | 0.562 | 0.676 | 36 | 0.549 | |
| Deterministic | DICE | 0.182 | 0.224 | 0.284 | 368 | 0.209 | 0.239 | 0.312 | 0.412 | 126 | 0.320 | 0.402 | 0.509 | 0.597 | 38 | 0.482 |
| NEKG | 0.196 | 0.230 | 0.304 | 376 | 0.217 | 0.246 | 0.323 | 0.423 | 121 | 0.336 | 0.398 | 0.512 | 0.589 | 41 | 0.477 | |
| NRN | 0.298 | 0.326 | 0.432 | 155 | 0.323 | 0.342 | 0.442 | 0.546 | 102 | 0.414 | 0.560 | 0.639 | 0.740 | 21 | 0.620 | |
| Self-supervised | BiGI | 0.185 | 0.249 | 0.331 | 359 | 0.236 | 0.260 | 0.354 | 0.468 | 118 | 0.331 | 0.418 | 0.507 | 0.622 | 39 | 0.487 |
| SliCE | 0.185 | 0.250 | 0.331 | 359 | 0.237 | 0.261 | 0.354 | 0.469 | 117 | 0.332 | 0.420 | 0.510 | 0.622 | 38 | 0.490 | |
| SimGCL | 0.344 | 0.415 | 0.502 | 162 | 0.399 | 0.000 | 0.255 | 0.467 | 59 | 0.167 | 0.000 | 0.399 | 0.645 | 22 | 0.239 | |
| RAKGE | 0.395 | 0.455 | 0.529 | 199 | 0.442 | 0.502 | 0.608 | 0.674 | 37 | 0.573 | 0.647 | 0.733 | 0.823 | 12 | 0.708 | |
| KAAE | 0.439 | 0.536 | 0.640 | 119 | 0.508 | 0.636 | 0.694 | 0.758 | 30 | 0.680 | 0.745 | 0.818 | 0.888 | 7 | 0.794 | |
| lmprovement | 11.1% | 17.8% | 21.0% | 26.5% | 14.9% | 26.7% | 14.1% | 12.5% | 18.9% | 18.7% | 15.1% | 11.6% | 7.9% | 41.7% | 12.1% | |