LaplaceNet: A Hybrid Graph-Energy Neural Network for Deep Semi-Supervised Classification
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Abstract (arXiv)
Semi-supervised learning has received a lot of recent attention as it alleviates the need for large amounts of labelled data which can often be expensive, requires expert knowledge and be time consuming to collect. Recent developments in deep semi-supervised classification have reached unprecedented performance and the gap between supervised and semi-supervised learning is ever-decreasing. This improvement in performance has been based on the inclusion of numerous technical tricks, strong augmentation techniques and costly optimisation schemes with multi-term loss functions. We propose a new framework, LaplaceNet, for deep semi-supervised classification that has a greatly reduced model complexity. We utilise a hybrid approach where pseudolabels are produced by minimising the Laplacian energy on a graph. These pseudo-labels are then used to iteratively train a neural-network backbone. Our model outperforms state-of-the art methods for deep semi-supervised classification, over several benchmark datasets. Furthermore, we consider the application of strong-augmentations to neural networks theoretically and justify the use of a multi-sampling approach for semi-supervised learning. We demonstrate, through rigorous experimentation, that a multi-sampling augmentation approach improves generalisation and reduces the sensitivity of the network to augmentation.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 34 of its 50 references that are in the map. First posted on arXiv 8 Jun 2021.
Builds on
34 of 50 references.
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22 more
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Built on by
Citing papers per year: 2022: 2; 2023: 0; 2024: 1; 2025: 2.
5 papers.
- 2022Poisson Reweighted Laplacian Uncertainty Sampling for Graph-based Active Learningcited by 6
- 2024Consistency of semi-supervised learning, stochastic tug-of-war games, and the p-Laplaciancited by 3
- 2022NorMatch: Matching Normalizing Flows with Discriminative Classifiers for Semi-Supervised Learningcited by 1
- 2025CRTrack: Low-Light Semi-Supervised Multi-object Tracking Based on Consistency Regularizationcited by 1
- 2025Topology-Aware Active Learning on Graphscited by 0
- 2025Topology-Aware Active Learning on Graphs29 Oct 2025
- 2025CRTrack: Low-Light Semi-Supervised Multi-object Tracking Based on Consistency Regularization24 Feb 2025
- 2024Consistency of semi-supervised learning, stochastic tug-of-war games, and the p-Laplacian15 Jan 2024
- 2022NorMatch: Matching Normalizing Flows with Discriminative Classifiers for Semi-Supervised Learning17 Nov 2022
- 2022Poisson Reweighted Laplacian Uncertainty Sampling for Graph-based Active Learning27 Oct 2022