Inductive Matrix Completion Using Graph Autoencoder
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Abstract (arXiv)
Recently, the graph neural network (GNN) has shown great power in matrix completion by formulating a rating matrix as a bipartite graph and then predicting the link between the corresponding user and item nodes. The majority of GNN-based matrix completion methods are based on Graph Autoencoder (GAE), which considers the one-hot index as input, maps a user (or item) index to a learnable embedding, applies a GNN to learn the node-specific representations based on these learnable embeddings and finally aggregates the representations of the target users and its corresponding item nodes to predict missing links. However, without node content (i.e., side information) for training, the user (or item) specific representation can not be learned in the inductive setting, that is, a model trained on one group of users (or items) cannot adapt to new users (or items). To this end, we propose an inductive matrix completion method using GAE (IMC-GAE), which utilizes the GAE to learn both the user-specific (or item-specific) representation for personalized recommendation and local graph patterns for inductive matrix completion. Specifically, we design two informative node features and employ a layer-wise node dropout scheme in GAE to learn local graph patterns which can be generalized to unseen data. The main contribution of our paper is the capability to efficiently learn local graph patterns in GAE, with good scalability and superior expressiveness compared to previous GNN-based matrix completion methods. Furthermore, extensive experiments demonstrate that our model achieves state-of-the-art performance on several matrix completion benchmarks. Our official code is publicly available.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 13 of its 29 references that are in the map. First posted on arXiv 25 Aug 2021.
Builds on
13 of 29 references.
References · 13
- 2016Variational Graph Auto-Encoderscited by 1,382
- 2020LightGCN: Simplifying and Powering Graph Convolution Network for Recommendationcited by 1,139
- 2018Graph Convolutional Neural Networks for Web-Scale Recommender Systemscited by 1,138
- 2019Neural Graph Collaborative Filteringcited by 661
- 2019Deep Graph Library: A Graph-Centric, Highly-Performant Package for Graph Neural Networkscited by 242
- 2020Handling Missing Data with Graph Representation Learningcited by 133
- 2017Geometric Matrix Completion with Recurrent Multi-Graph Neural Networkscited by 88
- 2019Inductive Matrix Completion Based on Graph Neural Networkscited by 86
- 2018Deep Models of Interactions Across Setscited by 69
- 2013Provable Inductive Matrix Completioncited by 32
- 2014Matrix Completion on Graphscited by 26
- 2015Neural Network Matrix Factorizationcited by 26
1 more
- 2016A Neural Autoregressive Approach to Collaborative Filteringcited by 23
Built on by
Citing papers per year: 2022: 1; 2023: 1; 2024: 3; 2025: 3; 2026: 1.
9 papers.
- 2024Inductive Cognitive Diagnosis for Fast Student Learning in Web-Based Online Intelligent Education Systemscited by 16
- 2023Revisiting Initializing Then Refining: An Incomplete and Missing Graph Imputation Networkcited by 6
- 2025Incomplete Graph Learning: A Comprehensive Surveycited by 3
- 2022Generalization Bounds for Inductive Matrix Completion in Low-noise Settingscited by 2
- 2024Improving Matrix Completion by Exploiting Rating Ordinality in Graph Neural Networkscited by 1
- 2024Multi-Channel Hypergraph Contrastive Learning for Matrix Completioncited by 1
- 2025Contrastive Matrix Completion with Denoising and Augmented Graph Views for Robust Recommendationcited by 0
- 2025Unifying Inductive, Cross-Domain, and Multimodal Learning for Robust and Generalizable Recommendationcited by 0
- 2026Sample-efficient inductive matrix completion with noise and inexact side-informationcited by 0
- 2026Sample-efficient inductive matrix completion with noise and inexact side-information16 May 2026
- 2025Unifying Inductive, Cross-Domain, and Multimodal Learning for Robust and Generalizable Recommendation21 Oct 2025
- 2025Contrastive Matrix Completion with Denoising and Augmented Graph Views for Robust Recommendation12 Jun 2025
- 2025Incomplete Graph Learning: A Comprehensive Survey18 Feb 2025
- 2024Multi-Channel Hypergraph Contrastive Learning for Matrix Completion2 Nov 2024
- 2024Inductive Cognitive Diagnosis for Fast Student Learning in Web-Based Online Intelligent Education Systems17 Apr 2024
- 2024Improving Matrix Completion by Exploiting Rating Ordinality in Graph Neural Networks7 Mar 2024
- 2023Revisiting Initializing Then Refining: An Incomplete and Missing Graph Imputation Network15 Feb 2023
- 2022Generalization Bounds for Inductive Matrix Completion in Low-noise Settings16 Dec 2022