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Simple GNN Regularisation for 3D Molecular Property Prediction & Beyond

About

In this paper we show that simple noise regularisation can be an effective way to address GNN oversmoothing. First we argue that regularisers addressing oversmoothing should both penalise node latent similarity and encourage meaningful node representations. From this observation we derive "Noisy Nodes", a simple technique in which we corrupt the input graph with noise, and add a noise correcting node-level loss. The diverse node level loss encourages latent node diversity, and the denoising objective encourages graph manifold learning. Our regulariser applies well-studied methods in simple, straightforward ways which allow even generic architectures to overcome oversmoothing and achieve state of the art results on quantum chemistry tasks, and improve results significantly on Open Graph Benchmark (OGB) datasets. Our results suggest Noisy Nodes can serve as a complementary building block in the GNN toolkit.

Jonathan Godwin, Michael Schaarschmidt, Alexander Gaunt, Alvaro Sanchez-Gonzalez, Yulia Rubanova, Petar Veli\v{c}kovi\'c, James Kirkpatrick, Peter Battaglia• 2021

Related benchmarks

TaskDatasetResultRank
Molecular property predictionQM9 (test)
mu25
174
Quantum Chemical PredictionPCQM4M v2 (val)
MAE0.1218
68
Initial Structure to Relaxed Energy (IS2RE)OC20 (Open Catalyst 2020) IS2RE (test)
Energy MAE (Avg)0.437
30
Initial Structure to Relaxed EnergyOC20 IS2RE (val)
Energy MAE (ID)0.47
24
Molecular property predictionQM9 2014 (test)
Dipole Moment (mu)0.025
20
Small molecule classificationOGBG-MOLHIV (test)
ROC-AUC74.67
19
Adsorption energy predictionOC20 IS2RE (test)
MAE0.4728
16
Initial State to Relaxed Energy (IS2RE)OC20 IS2RE OOD Adsorbate (test)
MAE (eV)0.565
13
Atomization energy predictionQM9 original (test)
MAE (meV)7.3
11
Graph RegressionOGBG-PCQM4M v1 (val)
MAE0.1216
10
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