Graph-MLP: Node Classification without Message Passing in Graph
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Abstract (arXiv)
Graph Neural Network (GNN) has been demonstrated its effectiveness in dealing with non-Euclidean structural data. Both spatial-based and spectral-based GNNs are relying on adjacency matrix to guide message passing among neighbors during feature aggregation. Recent works have mainly focused on powerful message passing modules, however, in this paper, we show that none of the message passing modules is necessary. Instead, we propose a pure multilayer-perceptron-based framework, Graph-MLP with the supervision signal leveraging graph structure, which is sufficient for learning discriminative node representation. In model-level, Graph-MLP only includes multi-layer perceptrons, activation function, and layer normalization. In the loss level, we design a neighboring contrastive (NContrast) loss to bridge the gap between GNNs and MLPs by utilizing the adjacency information implicitly. This design allows our model to be lighter and more robust when facing large-scale graph data and corrupted adjacency information. Extensive experiments prove that even without adjacency information in testing phase, our framework can still reach comparable and even superior performance against the state-of-the-art models in the graph node classification task.
Key facts. Cited by 73 papers in the map (data through 7 Oct 2026). Builds on 33 of its 36 references that are in the map. First posted on arXiv 8 Jun 2021.
Builds on
33 of 36 references.
References · 33
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- 2019Simplifying Graph Convolutional Networkscited by 1,470
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Citing papers per year: 2021: 4; 2022: 17; 2023: 17; 2024: 29; 2025: 6.
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- 2021Graph-less Neural Networks: Teaching Old MLPs New Tricks via Distillationcited by 151
- 2022Graph Condensation via Receptive Field Distribution Matchingcited by 60
- 2021Cold Brew: Distilling Graph Node Representations with Incomplete or Missing Neighborhoodscited by 57
- 2022Simple Contrastive Graph Clusteringcited by 56
- 2022Knowledge Graph Contrastive Learning Based on Relation-Symmetrical Structurecited by 43
- 2022Graph Neural Networks are Inherently Good Generalizers: Insights by Bridging GNNs and MLPscited by 42
- 2022Linkless Link Prediction via Relational Distillationcited by 39
- 2023VQGraph: Rethinking Graph Representation Space for Bridging GNNs and MLPscited by 34
- 2022MLPInit: Embarrassingly Simple GNN Training Acceleration with MLP Initializationcited by 31
- 2023Train Your Own GNN Teacher: Graph-Aware Distillation on Textual Graphscited by 29
- 2022NOSMOG: Learning Noise-robust and Structure-aware MLPs on Graphscited by 14
- 2022SCGC : Self-Supervised Contrastive Graph Clusteringcited by 13
38 more
- 2022Robust Fair Clustering: A Novel Fairness Attack and Defense Frameworkcited by 13
- 2022SA-MLP: Distilling Graph Knowledge from GNNs into Structure-Aware MLPcited by 12
- 2021Lifelong Learning on Evolving Graphs Under the Constraints of Imbalanced Classes and New Classescited by 11
- 2022Transformers are Short Text Classifiers: A Study of Inductive Short Text Classifiers on Benchmarks and Real-world Datasetscited by 11
- 2025Exploring Graph Learning Tasks with Pure LLMs: A Comprehensive Benchmark and Investigationcited by 11
- 2024Node Identifiers: Compact, Discrete Representations for Efficient Graph Learningcited by 10
- 2022Node Representation Learning in Graph via Node-to-Neighbourhood Mutual Information Maximizationcited by 9
- 2024A Survey on Self-Supervised Graph Foundation Models: Knowledge-Based Perspectivecited by 9
- 2024A Teacher-Free Graph Knowledge Distillation Framework with Dual Self-Distillationcited by 8
- 2024Training MLPs on Graphs without Supervisioncited by 8
- 2021Multi-Sample based Contrastive Loss for Top-k Recommendationcited by 7
- 2023Edge-free but Structure-aware: Prototype-Guided Knowledge Distillation from GNNs to MLPscited by 7
- 2023Topo-MLP : A Simplicial Network Without Message Passingcited by 7
- 2022Teaching Yourself: Graph Self-Distillation on Neighborhood for Node Classificationcited by 6
- 2024Promoting Fairness in Link Prediction with Graph Enhancementcited by 6
- 2023A Markov Random Field model for Hypergraph-based Machine Learningcited by 5
- 2023Open-World Lifelong Graph Learningcited by 5
- 2023Hypergraph-MLP: Learning on Hypergraphs without Message Passingcited by 5
- 2024Backdoor Graph Condensationcited by 5
- 2024ERGNN: Spectral Graph Neural Network With Explicitly-Optimized Rational Graph Filterscited by 5
- 2022Alternately Optimized Graph Neural Networkscited by 4
- 2023You Only Transfer What You Share: Intersection-Induced Graph Transfer Learning for Link Predictioncited by 4
- 2024Pre-Training Graph Contrastive Masked Autoencoders are Strong Distillers for EEGcited by 4
- 2024TINED: GNNs-to-MLPs by Teacher Injection and Dirichlet Energy Distillationcited by 4
- 2024Bi-Directional Multi-Scale Graph Dataset Condensation via Information Bottleneckcited by 4
- 2024Do We Really Need Graph Convolution During Training? Light Post-Training Graph-ODE for Efficient Recommendationcited by 3
- 2024HGOE: Hybrid External and Internal Graph Outlier Exposure for Graph Out-of-Distribution Detectioncited by 3
- 2022Enhancing Graph Contrastive Learning with Node Similaritycited by 2
- 2022Efficient block contrastive learning via parameter-free meta-node approximationcited by 2
- 2023OrthoReg: Improving Graph-regularized MLPs via Orthogonality Regularizationcited by 2
- 2023Self-Supervised Node Representation Learning via Node-to-Neighbourhood Alignmentcited by 2
- 2023The Split Matters: Flat Minima Methods for Improving the Performance of GNNscited by 2
- 2024Classifying Nodes in Graphs without GNNscited by 2
- 2024Node Classification via Semantic-Structural Attention-Enhanced Graph Convolutional Networkscited by 2
- 2024Graph Knowledge Distillation to Mixture of Expertscited by 2
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passingcited by 2
- 2025BrainNetMLP: An Efficient and Effective Baseline for Functional Brain Network Classificationcited by 2
- 2023Dual Node and Edge Fairness-Aware Graph Partitioncited by 1
50 most cited of 73 All 73 (JSON)
- 2025GraphUniverse: Synthetic Graph Generation for Evaluating Inductive Generalization25 Sep 2025
- 2025iN2V: Bringing Transductive Node Embeddings to Inductive Graphs5 Jun 2025
- 2025Negative Metric Learning for Graphs15 May 2025
- 2025BrainNetMLP: An Efficient and Effective Baseline for Functional Brain Network Classification14 May 2025
- 2025Exploring Graph Learning Tasks with Pure LLMs: A Comprehensive Benchmark and Investigation26 Feb 2025
- 2025Deep Graph Learning will stall without Network Science3 Feb 2025
- 2024ERGNN: Spectral Graph Neural Network With Explicitly-Optimized Rational Graph Filters26 Dec 2024
- 2024Bi-Directional Multi-Scale Graph Dataset Condensation via Information Bottleneck23 Dec 2024
- 2024TINED: GNNs-to-MLPs by Teacher Injection and Dirichlet Energy Distillation15 Dec 2024
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passing11 Dec 2024
- 2024Training MLPs on Graphs without Supervision5 Dec 2024
- 2024Pre-Training Graph Contrastive Masked Autoencoders are Strong Distillers for EEG28 Nov 2024
38 more
- 2024Multistage non-deterministic classification using secondary concept graphs and graph convolutional networks for high-level feature extraction9 Nov 2024
- 2024SPARC: Spectral Architectures Tackling the Cold-Start Problem in Graph Learning3 Nov 2024
- 2024Sparse Decomposition of Graph Neural Networks25 Oct 2024
- 2024Promoting Fairness in Link Prediction with Graph Enhancement13 Sep 2024
- 2024Learning to Model Graph Structural Information on MLPs via Graph Structure Self-Contrasting9 Sep 2024
- 2024Better Not to Propagate: Understanding Edge Uncertainty and Over-smoothing in Signed Graph Neural Networks9 Aug 2024
- 2024HGOE: Hybrid External and Internal Graph Outlier Exposure for Graph Out-of-Distribution Detection31 Jul 2024
- 2024Do We Really Need Graph Convolution During Training? Light Post-Training Graph-ODE for Efficient Recommendation26 Jul 2024
- 2024Lifelong Graph Learning for Graph Summarization25 Jul 2024
- 2024HyperAggregation: Aggregating over Graph Edges with Hypernetworks16 Jul 2024
- 2024Backdoor Graph Condensation3 Jul 2024
- 2024Graph Knowledge Distillation to Mixture of Experts17 Jun 2024
- 2024POWN: Prototypical Open-World Node Classification14 Jun 2024
- 2024Node Identifiers: Compact, Discrete Representations for Efficient Graph Learning26 May 2024
- 2024Acceleration Algorithms in GNNs: A Survey7 May 2024
- 2024A Survey on Self-Supervised Graph Foundation Models: Knowledge-Based Perspective24 Mar 2024
- 2024Node Classification via Semantic-Structural Attention-Enhanced Graph Convolutional Networks24 Mar 2024
- 2024BloomGML: Graph Machine Learning through the Lens of Bilevel Optimization7 Mar 2024
- 2024A Teacher-Free Graph Knowledge Distillation Framework with Dual Self-Distillation6 Mar 2024
- 2024Teaching MLP More Graph Information: A Three-stage Multitask Knowledge Distillation Framework2 Mar 2024
- 2024SimMLP: Training MLPs on Graphs without Supervision14 Feb 2024
- 2024Classifying Nodes in Graphs without GNNs8 Feb 2024
- 2024Active Learning for Graphs with Noisy Structures4 Feb 2024
- 2023Topo-MLP : A Simplicial Network Without Message Passing19 Dec 2023
- 2023Hypergraph-MLP: Learning on Hypergraphs without Message Passing15 Dec 2023
- 2023Propagate & Distill: Towards Effective Graph Learners Using Propagation-Embracing MLPs29 Nov 2023
- 2023GGNNs : Generalizing GNNs using Residual Connections and Weighted Message Passing26 Nov 2023
- 2023Unveiling the Unseen Potential of Graph Learning through MLPs: Effective Graph Learners Using Propagation-Embracing MLPs20 Nov 2023
- 2023Open-World Lifelong Graph Learning19 Oct 2023
- 2023On the Equivalence of Graph Convolution and Mixup29 Sep 2023
- 2023A Markov Random Field model for Hypergraph-based Machine Learning27 Aug 2023
- 2023VQGraph: Rethinking Graph Representation Space for Bridging GNNs and MLPs4 Aug 2023
- 2023Dual Node and Edge Fairness-Aware Graph Partition16 Jun 2023
- 2023The Split Matters: Flat Minima Methods for Improving the Performance of GNNs15 Jun 2023
- 2023Graph Entropy Minimization for Semi-supervised Node Classification31 May 2023
- 2023Train Your Own GNN Teacher: Graph-Aware Distillation on Textual Graphs20 Apr 2023
- 2023Edge-free but Structure-aware: Prototype-Guided Knowledge Distillation from GNNs to MLPs24 Mar 2023
- 2023You Only Transfer What You Share: Intersection-Induced Graph Transfer Learning for Link Prediction27 Feb 2023
50 newest of 73 All 73 (JSON)
- 2024Graph Knowledge Distillation to Mixture of Expertscited by 2
- 2024Graph Knowledge Distillation to Mixture of Experts17 Jun 2024
- 2021Graph-less Neural Networks: Teaching Old MLPs New Tricks via Distillationcited by 151
- 2022Graph Condensation via Receptive Field Distribution Matchingcited by 60
- 2021Cold Brew: Distilling Graph Node Representations with Incomplete or Missing Neighborhoodscited by 57
- 2022Simple Contrastive Graph Clusteringcited by 56
- 2022Knowledge Graph Contrastive Learning Based on Relation-Symmetrical Structurecited by 43
- 2022Graph Neural Networks are Inherently Good Generalizers: Insights by Bridging GNNs and MLPscited by 42
- 2022Linkless Link Prediction via Relational Distillationcited by 39
- 2023VQGraph: Rethinking Graph Representation Space for Bridging GNNs and MLPscited by 34
- 2022MLPInit: Embarrassingly Simple GNN Training Acceleration with MLP Initializationcited by 31
- 2023Train Your Own GNN Teacher: Graph-Aware Distillation on Textual Graphscited by 29
- 2022NOSMOG: Learning Noise-robust and Structure-aware MLPs on Graphscited by 14
- 2022SCGC : Self-Supervised Contrastive Graph Clusteringcited by 13
12 most cited of 72 All 72 (JSON)
- 2025GraphUniverse: Synthetic Graph Generation for Evaluating Inductive Generalization25 Sep 2025
- 2025iN2V: Bringing Transductive Node Embeddings to Inductive Graphs5 Jun 2025
- 2025Negative Metric Learning for Graphs15 May 2025
- 2025BrainNetMLP: An Efficient and Effective Baseline for Functional Brain Network Classification14 May 2025
- 2025Exploring Graph Learning Tasks with Pure LLMs: A Comprehensive Benchmark and Investigation26 Feb 2025
- 2025Deep Graph Learning will stall without Network Science3 Feb 2025
- 2024ERGNN: Spectral Graph Neural Network With Explicitly-Optimized Rational Graph Filters26 Dec 2024
- 2024Bi-Directional Multi-Scale Graph Dataset Condensation via Information Bottleneck23 Dec 2024
- 2024TINED: GNNs-to-MLPs by Teacher Injection and Dirichlet Energy Distillation15 Dec 2024
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passing11 Dec 2024
- 2024Training MLPs on Graphs without Supervision5 Dec 2024
- 2024Pre-Training Graph Contrastive Masked Autoencoders are Strong Distillers for EEG28 Nov 2024
12 newest of 72 All 72 (JSON)